ML20069F095
| ML20069F095 | |
| Person / Time | |
|---|---|
| Site: | Fermi  |
| Issue date: | 06/03/1994 |
| From: | Gipson D DETROIT EDISON CO. |
| To: | NRC OFFICE OF INFORMATION RESOURCES MANAGEMENT (IRM) |
| Shared Package | |
| ML20069F099 | List: |
| References | |
| CON-NRC-94-0050, CON-NRC-94-50 NUDOCS 9406080141 | |
| Download: ML20069F095 (200) | |
Text
{{#Wiki_filter:. -- I'e , Douglas R. Gipson p Sensor Vice Presioent Nuclear Generation Detroit re a 6400 North D.ne Highway Edison ~~~
~(313)586-5249 June 3, 1994 NRC-94-0050 U. S. Nuclear Regulatory Commission Attn: Document Control Desk Washington, D. C. 20555 i
References:
- 1) Fermi 2 NRC Docket No. 50-341 NRC License No. NPF-43
- 2) NRC Letter dated March 3, 1994, Request for Additional Information
Subject:
Detroit Edison Response to NRC Request for Additional Information - Control Center Heating, Ventilation and Air Conditioning (CCHVAC) System Reference 2 requested that Detroit Edison provide additional information to address NRC staff concerns related to the seismic loading of the CCHVAC system during peak loading periods. The concerns were contained in Sec';, ion 3 3 of the enclosure to Reference 2. To effectively respond to these concerns, the concerns have been summarized as 19 separate statements. Each concern and its response are provided in Attachment 1. In addition, supporting documentation is attached for most of the concerns. In these cases, reference to the appropriate additional attachment to this letter is also provided. If you have any questions, please contact Mr. Glen D. Ohlemacher at (313) 586-4275. Sincerely, Attachments cc: T. G. Colburn J. B. Martin (Attachment 1 only) M. P. Phillips (Attachment 1 only) K. R. Riemer ( Attachment 1 only) n ev r, r'; 9 9406080141 DR 940603 ADOCK 05000341 .{'
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Attachment 1 to NRC-94-0050 Page 1 NRC CONCERN 1: No reconciliation with the as-built geometries was apparently performed to verify that the analysis evaluated the as-built configurations RESPONSE: Detroit Edison has walked down the duct systems evaluated in HA-05/89-686 to document the as-built configuration. Minor discrepancies, primarily with some hanger locations, were noted. The duct systems in HA-05/89-686 were re-evaluated by Hopper and Associates using the as-built configurations. This re-evaluation did not impact the results of the evaluation. ENCLOSED SUPPORTING DOCUMENTATION: None
Attachment 1 to NRC-94-0050 Page 2 NRC CONCERN 2: Seismic analysis used full section properties rather ; than using " effective width" compressive flange as j computed but not used. It thus appears that the ; internal moments and the deflections resulting from [ the seismic loading may have been underestimated. i RESPONSE: Full section properties were used for seismic , analysis purposes appropriately "to idealize the 4 system dynamic characteristics. ...s results in a i better stiffness representation than one would l obtain using an " effective width" compressive flange ! for two reasons. First, those duct run lengths with effective reduced compression flanges are limited in extent and do not significantly influence the global dynamic characteristics of the systems. Second, l although the " effective width" compression flange i concept is useful and conservative for strength ; evaluation purposes, it greatly understates the ; compressive panel stiffness since plates actually j continue to carry significant load after the [ traditional buckling limit is exceeded. ; To verify the efficacy of the original idealization, l iterative dynamic analyses were completed for systems 4316-1 and 4316-7, the two systems for which ; the concern is relevant.- After convergence on the j appropriate effective duct run geometry considering the localized nature of the unique compressive , flange phenomena, the effect of this behavior was observed to have a negligible effect on the dynamic system characteristics and resulting system stresses. Response frequencies of systems 4316-1 and 4316-7 changed respectively 1.5% and 0.6%. Use of " effective width" section properties would i significantly change the system dynamic response ; characteristics in an inappropriate manner. The j supplementary calculations prepared validate the - original assumption regarding the use of " full" section properties for dynamic analyses and j
" effective width" section properties for stress evaluation conservatism. ;
ENCLOSED : SUPPORTING Attachment 2, i DOCUMENTATION: Evaluation Calculations i I f i i u- a
Attachment 1 to NRC-94-0050 Page 3 l NRC CONCERN 3: The section properties and the stresses were calculated based on the thickness of the galvanized sheet metal. These should be based on the thickness of the bare metal. RESPONSE: The original assumption, that the effective sheet metal thickness is the galvanized material , thickness, was made without due consideration of the : need for significant analytical conservatisms. CCHVAC ducting systems have thus been reanalyzed using the bare metal thickness with satisfactory results as memorialized in the newly prepared detailed evaluation calculations. J Although the bare material is 8% thinner than the e galvanized sheet metal, all reanalyzed system operational and operational plus Design Basis Earthquake (DBE) stresses remain below the respective allowable values. Furthermore, although it is not a licensing requirement, supplementary operational plus Site Specific Earthquake (SSE) stress analyses were also completed. In this extreme load evaluation situation, all stresses rcmain below yield levels and only one system (4316-1) is nominally atressed (5%) above the allowable level at one location. This singular overstress is not predicted if 4% rather than 2% damping is mobilized during the SSE - a reasonable expectation. ENCLOSED SUPPORTING Attachment 3, DOCUMENTATION: Evaluation Calculations 4
Attachment 1 to NRC-94-0050 Page 4 , NRC CONCERN 4: In all analyses the beam bending stresses were based on one significant moment. It isn't clear that the highest longitudinal stresses were calculated, based on possible biaxial moment loading and axial loading. RESPONSE: The duct systems were re-evaluated for blaxial moments. The additional bending effect was demonstrated to be insignificant, as was assumed in the previous evaluation. Additionally, the re-evaluation also demonstrates axial loads were indeed included in the previous evaluation. ENCLOSED SUPPORTING Attachment 4, DOCUMENTATION: Evaluation Calculations I
Attachment 1 to NRC-94-0050 Page 5 NRC CONCERN 5: There is no discussion of potential stress intensification or local deformation effects at
" tee" type connections of equal or different size ducts, elbows, and " wye" fittings and rectangular-to-round transitions.
RESPONSE: Stresses at tee type connections, elbows, wye fittings, and rectangular-to-round transitions are secondary and peak stresses that may cause local yielding which is permitted for the SSE loading analyzed. Therefore, only primary stresses which may cause gross deformations or total collapse of the system were considered. A corresponding philosophy is embraced by the ASME piping codes which require no secondary or peak stress check for the comparable earthquake loading. Furthermore, stress limits greater than yield are allowed for ASME secondary and peak stress checks when such checks are required under other loading conditions. ENCLOSED SUPPORTING DOCUMENTATION: None W
Attachment 1 to NRC-94-0050 Page 6 NRC CONCERN 6: The critical stresses and moments for plates in bending (representing the webs) did not consider the interaction with transverse compressive loading. These critical values may therefore be overestimated. , RESPONSE: The buckling assumptions were reviewed and compared to classical instability models. The literature review demonstrated instability plates under pure bending, and axial compression of panels is more critical than combined bending and transverse compression. In all cases of the previous analysis, instability due to axial loading occurs before or . concurrent with instability due to bending, . therefore, the previous analysis assumptions were ! conservative. ENCLOSED SUPPORTING Attachment 5, DOCUMENTATION: Evaluation Calculations l I
a, - - l Attachment 1 to NRC-94-0050 < l Page 7 NRC CONCERN 7: The calculation of the edge membrane and bending stresses in panels did not include the seismic . inertia loads acting on the panels. RESPONSE: Evaluation of the panel seismic inertia loads 1 demonstrates a slight increase in the forces acting , on the ducting system's panels. If the modal combination is performed using the SRSS method, the contribution of seismic inertia is 1.7% of that associated with design pressure. The seismic inertia loads acting on the panels were neglected in the previous analyses. However, the evaluated panel stress increases are insignificant and therefore validate the results of the original calculations. > ENCLOSED SUPPORTING Attachment 6, DOCUMENTATION: Evaluation Calculations i i e i e
Attachment 1 to NRC-94-0050 Page 8 l NRC CONCERN 8: No discussion of the seismic qualification of the ; filter housings, and of the supports or the attachments to the building was presented. RESPONSE: The filter housings are outside the scope of this , evaluation. They were designed to the requirements ! of ORNL-NSIC-65. A seismic analysis was performed . to demonstrate the stresses are within the allowables specified in the AISC specifications. The supports were seismically qualified by Detroit Edison. The resultant stresses are within the AISC allowables. Hopper report HA-05/89-686 re-evaluated the duct systems for internal pressure effects which ; do not influence support loads. j Seismic analyses for supports are further disucssed i under Concern 19 l l ENCLOSED ; SUPPORTING DOCUMENTATION: None l t l t
Attachment 1 to NRC-94-0050 Page 9 NRC CONCERN 9: In evaluating the seismic spectra on which the dynamic analysis is based, it appears that the vertical spectra are plotted with incorrect horizontal coordinates. The correctness of the ' spectra values input in the dynamic analysis is therefore uncertain. i NRC CONCERN 10: The analysis states that there will be localized yielding under SSE loading but that the primary membrane stress will not exceed the allowable stress (0.9sy). In view of the above, this assertion ; cannot be verified. ; RESPONSE: The seismic spectra on which the dynamic analyses were based were directly taken from the Sargent and ; Lundy earthquake analysis. The vertical spectra ' used in the dynamic analyses are included as Figures 1 and 2. The lower horizontal axes (abscissa) are annotated with periods in seconds and secondary upper horizontal axes show corresponding frequencies in cycles per second. Perhaps both abscissae were ; included to humor various engineers who have proclivities solely to embrace one unit tradition or the other.
- Although Fermi has a Design Basis Earthquake (DBE) which represents the formal plant licensing basis, more conservative Site Specific Earthquake (SSE) spectra exist and have been used for supplementary seismic analyses. The DBE is also referred to as the Safe Shutdown Earthquake in Fermi 2 UFSAR .
Section 3 7 The relative amplitude of these spectra are seen in the following figures. For thoroughness, SSE analyses were completed for the
. ducting supplementary to the obligatory DBE analyses.
ENCLOSED SUPPORTING Attachment 7, DOCUMENTATION: Figures 1 and 2 i l l
4 Attachment 1 to NRC-94-0050 Page 10 NRC CONCERN 11: The structural integrity and air-tightness of the brazed joints in the longitudinal corner and middle seams was not evaluated. These are subject to i direct longitudinal stresses due to beam bending, shear stresses due to beam torsion caused by seismic loading, and transverse edge bending and membrane stresses due to internal pressure and seismic loading. There is also a potential of fatigue failure due to repeated starts of the fans over the life of the plant which has not been evaluated. RESPONSE: The longitudinal corner and middle seams of the t CCHVAC and SGTS ducting are specific joint types, namely the "Pittsburg Lock" or the " ACME Lock." Plain seams such as the corner lap or the lap joint were not used. Therefore, Concern 11 will be addressed by Concern 13, whicn evaluates the "Pittsburg Lock" joint for the rectangular ducts and the " ACME Lock" joint for the circular ducts. ENCLOSED SUPPORTING , DOCUMENTATION: None , i 1 l l l
4 Attachment 1 to NRC-94-0050 Page 11 NRC CONCERN 12: The structural integrity and air-tightness of the transverse joints was not evaluated. RESPONSE: An analysis of all components of the transverse joints was performed. The analysis demonstrated the transverse joint integrity by meeting the allowable strength requirements found in applicable codes. Additionally, the analysis considered air tightness and fatigue capability. Neither leakage nor fatigue is expected to be a concern in the analyzed systems. ENCLOSED SUPPORTING Attachment 8, DOCUMENTATION: Evaluation Calculations , i
Attachoent 1 to i NRC-94-9050 i Page 12 i
" Corner Lap" or "Pittsburg Lock" type corners and !
NRC CONCERN 13: middle lengitudinal " Acme Lock" type seams j structural integrity was not evaluated. Therefore, the air tightness of the ducts cannot be assured. RESPONSE: The structural integrity of the longitudinal "Pittsburg Lock" and " Acme Lock" seams was evaluated. The brazed joints are capable of withstanding operational and seismic loading without exceeding the applicable code allowable stresses. Additionally, the air tightness and fatigue life of longitudinal seams is not expected to be compromised. ENCLOSED SUPPORTING Attachment 9, DOCUMENTATION: Evaluation Calculations P l I L I l i 4 i
Attachment 1 to NRC-94-0050 Page 13 NRC CONCERN 14: The existing internal loads due to seismic loading : were amplified by the product of the ratio of the SSE ZPA to the OBE ZPA and the ratio of the peak response acceleration to the ZPA, presumably of the SSE. The damping used for this calculation was not ; specified. However, there are two horizontal and one vertical component for each earthquake, and ; these are also dependent on the evaluation within the building. It is unclear how these directional components were actually applied in these calculations. ; RESPONSE: The amplification factors used in the ductwork ' evaluation correspond to 2% damping response spectrum. Although amplification factors were calculated for three directions (two horizontal and one vertical) and two elevations (slab 3 elevation 641.5 ft. and slab 5 elevation 684.5 ft.), the three calculation amplification factors at each elevation ; were similar enough to chose a single value i (slightly weighted average) to effectively envelope , the evaluation. Additionally, system 2850-2 was , analyzed independently by a detailed computer - analysis and was not subject to the amplification ratios. ENCLOSED SUPPORTING Attachment 10, ; DOCUMENTATION Evaluation Calculations ; r i l
Attachment 1 to NRC-94-0050 Page 14 NRC CONCERN 15: Details of the calculations to determine the maximum permissible internal pressure from the stresses under combined loads were not reported. Maximum permissible internal pressures are shown for two load combinations: DW and DW + SSE. An examination of the stated values indicates that for the rectangular ductwork the permissible internal pressure under combined DW + SSE loading is higher than under DW alone; in fact, in some sections it is considerably higher (in one case about 20 times larger). The basis for these results has not been presented. Since the details of these calculations are not shown, it is not possible to assess the quality or validity of these calculations, and the [ maximum allowable pressure results must therefore be ' considered as questionable. RESPONSE: For the DW load combination, local instability is inadmissible and permissible internal pressures are restricted so as to comply with this analysis assumption. For the DW + SSE load combination, local panel instability is admissible and permissible internal pressure are correspondingly greater. The calculational details in question were not summarized and reported by Hopper. In order to illustrate the techniques used, calculational details for two representative duct systems are attached. Both systems have a rectangular cross section. One system illustrates the procedure used to obtain the allowable pressure with no local instability, and the other system illustrates the procedure used to obtain the allowable pressure when l local instability is present. If local instability I is present, only membrane stresses are considered, ; and the allowable pressure loading increases. l ENCLOSED SUPPORTING Attachment 11, DOCUMENTATION: Evaluation Calculations I l l l
Attachment 1 to t NRC-94-0050 Page 15 NRC CONCERN 16: For circular ducts the maximum allowable negative pressure is apparently total vacuum. The basis for this result was not presented, so it isn't clear if it was determined based on the interaction with simultaneous tensile and compressive axial loads, and if manufacturing imperfections were considered. These may have a significant effect on the allowable , external pressure. RESPONSE: The critical buckling strength of a thin tube under uniform lateral external pressure governs the design of a circular duct and establishes its required thickness. This buckling strength is enhanced (although minimally) when interaction with simultaneous compressive axial loads is considered. , Thus, the calculations in HA-09/89-696 were restricted to evaluating the seismic effect on the ; elastic stability of a thin walled circular tube under uniform longitudinal compression or under a transverse bending moment. The mathematical equations used to determine these critical buckling strengths were derived based on extensive experimental data and implicitly include the effect of manufacturing imperfections. Illustrative calculations of a bounding case ; circular duct system were prepared. It demonstrates i that for the seismic loads under consideration, , total vacuum pressure is needed to reach the , critical buckling strength under uniform , longitudinal compression. The uniform lateral l buckling external pressure for the largest circular duct which was considered in the original design of the duct is 6.8 inches of water using a SMACNA recommended manufacturing imperfection strength reduction factor of 7.2. This conservative allowable pressure exceeds the bounding demand pressure of 6.0 inches of water. ENCLOSED SUPPORTING Attachment 12, i DOCUMENTATION: Evaluation Calculations i
?
Attachment 1 to NRC-94-0050 Page 16 PRC CONCERN 17: The report also stated that some of the rectangular I duct panels are loaded beyond their " bifurcation" ; point during SSE, and that this is structurally , inconsequential since the redistributed stresses remain low. This statement is acceptable only if it is shown that the maximum redistributed stress remains below the allowable stress (0.95y) under the SSE loading conditions, i RESPONSE: The maximum redistributed stresses of all the i rectangular ducts is presented and compared to the 1 allowable stress (0.95y). With the exception of one l non-essential 12 X 8 duct in system 2849-1, the ! maximum redistributed stress of all rectangular l ducts is less than the allowable stress (0.95y) ! under the SSE loading conditions, provided the ducts are operating within the established permissible , pressure. ENCLOSED SUPPORTING Attachment 13. DOCUMENTATION: Evaluation Calculations : I l l l l i i 1 i l I
~ Attachment 1 to NRC-94-0050 Page 17 NRC CONCERN 18: The analysis of system 2850-2 indicated that this systems responded inelastically at one location, and it was thus concluded that a ductility factor of 2 was sufficient to achieve the required pressure load. The meaning of this is unclear since it implies that somewhere in the system the highest stress calculated on an elastic basis was about 2 Sy, considerable exceeding the maximum allowable stress. RESPONSE: The HA-09/89-696 analysis conservatively predicted localized inelasticity at one ducting location. With the assumed ductility factor, localized strains exceed the elastic limit, however, corresponding stresses do not exceed the yield stress. The highest expected stress calculated on an elastic basis would be 1 3 Sy. To quantify the conservatism of the original analysis, system 2350-2 was reanalyzed for the site Specific Earthquake (SSE) using the actual pressure requirement and various damping valves. Literature review suggests damping values of 10%-15% for systems responding at or near yield. With damping l value of 10%, all stresses in system 2850-2 were below 0.85 Sy. For a reasonable yet still conservative damping value of 7%, as recommended by Regulatory Guide 1.61, all stresses were below 0.95 Sy. Additionally, please recall the Fermi SSE is considerably more severe than the Design Basis Earthquake (DBE) which quantifies the licensing basis of the plant. t ENCLOSED SUPPORTING Attachment 14, DOCUMENTATION: Evaluation Calculations i l l l I l
Attachzent 1 to NRC-94-0050 Page 18 NRC CONCERN 19: The analyses in this report address only the ductwork. No safety calculation of the supports, or calculated safety margins determined in such calculations have been reported. The design calculation report DC-5089 states that all hangers, stiffeners and supports meet the stress criteria of ANSI /ASME N509-80. No documentation has been provided to support this statement. RESPONSE: An evaluation of the stiffeners was performed (Attachment 15). The bounding analyses encompassed t all possible duct and stiffener sizes and configurations. The stiffeners, weldments, brazing, and tie rods were found to be structurally adequate. The stiffeners meet the stress criteria of ANSI /ASME N509-80, based on the maximum anticipated loading. The hangers and supports were seismically qualified by Detroit Edison. All calculated stresses are within the AISC allowables. The AISC allowables are less than the allowables specified in ANSI /ASME l N509-80. Due to the size of these seismic qualification calculations, a single representative calculation is attached (Attachment 16). The remaining calculations are available for review. ENCLOSED SUPPORTING Attachment 15, Stiffener Evaluation Calculation l DOCUMENTATION: Attachment 16, Representative Qualification Calculation , e i t I
' Attachment 2 to
*;. NRC-94-0050 HOPPER AND ASSCCIATES ~
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l i i DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS CDNCERN ITEM NO,2 -l EVALUATION CALCULATIONS i i ! -l i i I Prepared for: Detroit Edison Company ' Nuclear Engineering Ferml 2 6400 North Dixie Highway '{' Newport, MI 48166 Prepared by: Hopper and Associates 300 Vista Del Mar ; Redondo Beach, CA 90277 ! May,1994 l l I I
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., TITLE: 9-65 /*.J 5 0 M Ca4Cra-J 2 DATE: 17 AW-il l'M9 PACE: b
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, TITLE: 8-65 f.J E d (o.JcrEJ 2 - DATE:._17Af#-*l# d 1 PACE: I(o susJtcT:- 5.o AaWs.4 av: Pr 5 cx: wwt swr: t s or i e ' 3.C Post s a c e.t .a b E O A t.J A v1 .h [c,1v-)
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' l'1 She N/Ner c l Ay l A y 11 12 l l(total) l M/Mer 1.00 7.00 20.23 2.89 7.00 59.00 35.40 94.39 1.00 1.50 5.72 18.37 2.76 6.66 55.35 32.24 87.59 1.22 2.00 4.95 17.26 2.68 6.45 52.74 30.47 83.21 1.41 2.50 4.43 16.51 2.62 6.29 50.75 29.32 80.07 1.58 3.00 4.04 15.95 2.58 6.17 49.15 28.52 77.67 1.73 3.50 3.74 15.52 2.55 6.08 47.83 27.92 75.75 1.87 4.00 3.50 15.17 2.53 6.00 46.72 27.45 74.17 2.00 4.50 3.30 14.88 2.51 5.93 45.75 27.08 72.83 2.12 5.00 3.13 14.64 2.49 5.88 44.91 26.78 71.69 2.24 5.50 2.98 14.43 2.48 5.83 44.17 26.52 70.69 2.35 6.00 2.86 14.24 2.46 5.78 43.50 26.31 69.81 2.45 6.50 2.75 14.08 2.45 5.75 42.90 26.12 69.03 2.55 7.00 2.65 13.94 2.44 5.71 42.36 25.96 68.32 2.65 7.50 2.56 13.81 2.43 5.68 41.86 25.82 67.68 2.74 8.00 2.47 13.69 2.42 5.65 41.40 25.70 67.10 2.83 8.50 2.40 13.58 2.41 5.62 40.98 25.59 66.57 2.92 9.00 2.33 13.48 2.41 5.60 40.59 25.49 66.08 3.00 9.50 2.27 13.39 2.40 5.58 40.22 25.40 65.62 3.08 10.00 2.21 13.31 2.40 5.56 39.88 25.32 65.20 3.16 10.50 2.16 13.23 2.39 5.54 39.56 25.24 64.81 3.24 11.00 2.11 13.16 2.39 5.52 39.26 25.17 64.44 3.32 11.50 2.06 13.10 2.38 5.50 38.98 25.11 64.09 3.39 12.00 2.02 13.03 2.38 5.49 38.72 25.05 63.77 3.46 12.50 1.98 12.97 2.37 5.47 38.46 25.00 63.46 3.54 13.00 1.94 12.92 2.37 5.46 38.22 24.95 63.17 3.61 13.50 1.91 12.87 2.36 5.44 37.99 24.90 62.90 3.67 14.00 1.87 12.82 2.36 5.43 37.78 24.86 62.64 3.74 14.50 1.84 12.77 2.36 5.42 37.57 24.82 62.39 3.81 15.00 1.81 12.72 2.35 5.41 37.37 24.78 62.16 3.87 15.50 1.78 12.68 2.35 5.40 37.18 24.75 61.93 3.94 16.00 1.75 12.64 2.35 5.38 37.00 24.72 61.72 4.00 16.50 1.72 12.60 2.35 5.37 36.83 24.68 61.51 4.06 17.00 1.70 12.57 2.34 5.36 36.66 24.65 61.32 4.12 17.50 1.67 12.53 2.34 5.36 36.50 24.63 61.13 4.18 18.00 1.65 12.50 2.34 5.35 36.35 24.60 60.95 4.24 18.50 1.63 12.46 2.34 5.34 36.20 24.58 60.78 4.30 19.00 1.61 12.43 2.33 5.33 36.06 24.55 60.61 4.36 19.50 1.59 12.40 2.33 5.32 35.92 24.53 60.45 4.42 20.00 1.57 12.38 2.33 5.31 35.79 24.51 60.29 4.47 20.50 1.55 12.35 2.33 5.31 35.66 24.49 60.14 4.53 21.00 1.53 12.32 2.32 5.30 35.53 24.47 60.00 4.58 21.50 1.51 12.29 2.32 5.29 35.41 24.45 59.86 4.64 22.00 1.49 12.27 2.32 5.29 35.29 24.43 59.72 4.69 22.50 1.48 12.25 2.32 5.28 35.18 24.41 59.59 4.74 23.00 1.46 12.22 2.32 5.27 35.07 24.40 59.47 4.80 23.50 1.44 12.20 2.32 5.27 34.96 24.38 59.34 4.85 24.00 1.43 12.18 2.31 5.26 34.86 24.36 59.22 4.90 TAe>c2 L ~
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13 16 /,e N/Ner ' c Ay l l A l V l 11 l 12 l l(total) l M/Mer 1.00 8.00 26.42 3.30 8.00 88.06 52.84 140.90 1.00 1.50 6.53 24.00 3.15 7.62 82.62 48.12 130.74 1.22 2.00 5.66 22.55 3.06 7.37 78.73 45.48 124.20 1.41 2.50 5.06 21.56 3.00 7.19 75.75 43.77 119.52 1.58 3.00 4.62 20.84 2.95 7.05 73.37 42.57 115.93 1.73 3.50 4.28 20.27 2.92 6.95 71.40 41.67 113.07 1.87 4.00 4.00 19.81 2.89 6.86 69.73 40.98 110.71 2.00 4.50 3.77 19.44 2.87 6.78 68.30 40.42 108.72 2.12 5.00 3.58 19.12 2.85 6.72 67.04 39.97 107.01 2.24 5.50 3.41 18.84 2.83 6.66 65.93 39.59 105.52 2.35 6.00 3.27 18.60 2.81 6.61 64.94 39.27 104.21 2.45 6.50 3.14 18.39 2.80 6.57 64.04 38.99 103.04 2.55 7.00 3.02 18.20 2.79 6.53 63.23 38.75 101.98 2.65 7.50 2.92 18.03 2.78 6.49 62.49 38.54 101.03 2.74 8.00 2.83 17.88 2.77 6.46 61.80 38.36 100.16 2.83 8.50 2.74 17.74 2.76 6.43 61.17 38.19 99.36 2.92 9.00 2.67 17.61 2.75 6.40 60.59 38.04 98.63 3.00 9.50 2.60 17.50 2.74 6.37 60.04 37.91 97.95 3.08 10.00 2.53 17.39 2.74 > 6.35 59.54 37.79 97.32 3.16 10.50 2.47 17.29 2.73 6.33 59.06 37.68 96.74 3.24 11.00 2.41 17.19 2.73 6.31 58.61 37.58 96.19 3.32 11.50 2.36 17.10 2.72 6.29 58.19 37.48 95.67 3.39 12.00 2.31 17.02 2.72 6.27 57.79 37.40 95.19 3.46 12.50 2.26 16.95 2.71 6.25 57.41- 37.32 94.73 3.54 13.00 2.22 16.87 2.71 6.24 57.06 37.24 94.30 3.61 13.50 2.18 16.80 2.70 6.22 56.72 37.18 93.89 3.67 14.00 2.14 16.74 2.70 6.21 56.39 37.11 93.50 3.74 14.50 2.10 16.68 2.69 6.19 56.08 37.05 93.13 3.81 15.00 2.07 16.62 2.69 6.18 55.79 37.00 92.78 3.87 15.50 2.03 16.56 2.69 6.17 55.51 36.94 92.45 3.94 16.00 2.00 16.51 2.68 6.15 55.24 36.89 92.13 4.00 16.50 1.97 16.46 2.68 6.14 54.98 36.85 91.82 4.06 17.00 1.94 16.41 2.68 6.13 54.73 36.80 91.53 4.12 17.50 1.91 16.37 2.67 6.12 54.49 36.76 91.25 4.18 18.00 1.89 16.32 2.67 6.11 54.26 36.72 90.98 4.24 18.50 1.86 16.28 2.67 6.10 54.04 36.68 90.72 4.30 19.00 1.84 16.24 2.67 6.09 53.82 36.65 90.47 4.36 19.50 1.81 16.20 2.66 6.08 53.62 36.61 90.23 4.42 20.00 1.79 16.16 2.66 6.07 53.42 36.58 90.00 4.47 20.50 1.77 16.13 2.66 6.06 53.22 36.55 89.78 4.53 21.00 1.75 16.09 2.66 6.06 53.04 36.52 89.56 4.58 21.50 1.73 16.06 2.65 6.05 52.86 36.49 89.35 4.64 22.00 1.71 16.03 2.65 6.04 52.68 36.47 89.15 4.69 22.50 1.69 15.99 6.03 __ _2.65 _ 52.51 36.44 88.95 4.74 23.00 1.07 15.96 2.65 6.03 52.35 36.42 88.77 4.80 23.50 1.65 15.93 2.65 6.02 52.19 36.39 88.58 4.85 24.00 1.63 15.91 2.65 6.01 52.03 36.37 88.40 4.90 !
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to l 17 [18 24.50 1.62 15.88 2.64 6.01 51.88 36.35 88.23 4.95 25.00 1.60 15.85 2.64 0 00 51.74 36.33 88.06 5.00 l 25.40 1.59 15.83 2.64 6.00 51.62 36.31 87.93 5.04 i l 5 0 I 1 l l 1 I I l 1 TA6L6 b b * * } b h k dkN , - " ~ - - - - . . . . . . . . - _ . _ _ . .
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: f_E5 fod 50 To (.ek>rt.J 2- . DATE: 2 7 AF4 L 1994 PACE: 2_l
SUBJECT:
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TITLE: 965fo45E 7d 6 4c444 E. DATE: 2"7 A/4<t /WI PACE: 2. '2
SUBJECT:
0 Cod CL VE'e J E sy: h5 CK:__MAK SHT: / OF__ l O& M bDJLX'PMLGS (odTs A JE- Tb CAAA-f La A >, , i KPtcALA T Se4 CL AL TIM ES *THE- bc.4L. 3 L b AD 3 i "iE 6 6 E-c f:A i L ael tr. 64 TM t AEAs o.3 , Tile 9,0cx-t-E D Co Mts.c.s.sosd Scor -P k
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LOAD STEP = 1 ITERATION = 3 FREQ = 15.5617 LOAD STEP = 1 ITERATION = 4 FREQ = 17.1430 LOAD STEP = 1 ITERATION = 5 FREQ = 21.1566 l I i l i TITLE = SSE FOR HVAC SYSTEM 4316-7 LOAD STEP = 1 ITERATION = 1 FREQ = 8.70859 LOAD STEP = 1 ITERATION = 2 FREQ = 9.57676 LOAD STEP = 1 ITERATION = 3 FREQ = 12.7380 LOAD STEP = 1 ITERATION = 4 FREQ = 20.3001 LOAD STEP = 1 ITERATION = 5 FREQ = 21.1809 l l
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Attachment 3 to NRC-94-0050 HOPPER AND AS$3CIATES ENGINEERS DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS i CONCERN ITEM NO. 3 EVALUATION CALCULATION Prepared for: Detroit Edison Company Nuclear Engineering Fermi 2 6400 North Dixie Highway Newport, MI 48166 Prepared by: Hopper and Associates 300 Vista Del Mar Redondo Beach,CA 90277 May,1994 u-
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: M[o T [0 MQNd NO. D' DATE: b I' PACE: !
SUBJECT:
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SUBJECT:
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HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE: MfbMt To bDtJL&CN NO- 9 DATE: 'b PACE:
SUBJECT:
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: RtMoutt To cos tt<4 so.3 o ,1,. Arciu 'i ts. ,,c,, to susacT: 4 0 4'WlW<e Tutti % CAPA4ttXTT. gy. QCk CK:_ M$#' SMT: OF I W ' 9 6' 9 tA q f % % L. . e 4" - ru'
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SUBJECT:
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HOPPER AND AS$2CIATES ENGINEE~.5 , CALCULATION SHEET ! TITLE. H IO N I Q 70 (.08 CXcM Nb. $ DATE: b IL PACE: A
SUBJECT:
Q*D kde C IHI. T tdk @ADil BY: b CK: ID SHT: ID OF i 14" v Sq.r," PAutcL t
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HOPPER AND ASSOCIATES ENelNEERS i I CALCULATION SHEET i ygyg. Re,roa t e To 68eN No . 3 o.re: Maiu % paca: d i i
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0 4-7c7M'HG WG'Mh WO'M N sy: Nh cK: M SHT: I OF 1 j (
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.0 SusJECT: C&- n{ W ah W LTtHC3 WAW G sY: bk CK: M SHT: II OF_ N Q,S 9T41M l/41 L, -l 81+ " C PMEL ST%n hR l'EtMutb f, - 4%i4 P%
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SUBJECT:
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HOPPER AND ASSDCIATES ENCINEERS CALCULATION SHEET ; TIRE: RbY0N3t 70 Co4 hrd Nb D DATE: b E'L PACE:
SUBJECT:
4'O Ib #INfC 'M d bTl " h ( b E b bil ' N SY: NbU CK: M SHT: OF b$ t l 9,t4 ckts s ti "DETGAbit @ Tie r4 , cfr.#ATi-4 AL LOA 14 ( I , rarap } l [ (?W9 f N q ~ LA84E9 - T4 M h ] 9 CWwT s} j
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SUBJECT:
0
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SUBJECT:
0 %
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Title:
P a ed '* To co*CIC r4 o . S. i oare: M4 ' 9 4 pace: % j
SUBJECT:
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HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE: MiaMD T* (ON E No DATE: M' t- PACE:
SUBJECT:
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?AnicL STh% :
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: fDN N TO h N (.I T d Wb 's DATE: PACE: '
SUBJECT:
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- F'tgoR] pr f F v u 'l A 4 9 - Lt t , WAt 4 ( - (' A'i'jtq.3ge.) A f Ib . 3 +
t O qto , F U ,cV/ag.] (qp , ! i
.. I
HOPPER AND ASSSCIATES ENGINEERS CALCULATION SHEET Tine: $*Hhb IO ( 3 H @,4 No, $ DATE: M 1N PACE: sus >Ect:AfMS: A - AA'W bf GN"i u%.i ,y HL9 cg J g ,g7 Aj ,,,A34 t i f b hIY , CAMPqet ,ANAtqcv, PtR. Oj5/ILM 4%tb l , 14 SQ. ()vC)
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET , TITLE: b h b ND ' h DATE: L PACE:
SUBJECT:
_ Nd k ~ MWM Of N4 M M *I BY: @ CK: SHT: OFb
/ PREP 7
/0UT,0UTN2S2,SSE
/ TITLE,SSE FOR HVAC SYSTEM 43161 C" '
C*RE ANALYZE SYSTEM 4316-1 BASED ON BARE SHEET METAL THICKNESS C'"*USE SITE SPECIFIC EARTHQUAKE WITH 7% DAMPANG ' C" 'D ATE: 4-25-94 C'" KAN,2 ! KAY,2,90 ! ET.1,4 '
,2,14 1 3.14.,3 !
4,21,. 2 EX,1,29.E 6 NUXY,1,0.29 DENS.1,0.00125 t N 1.19 6 ,-2 6.
.2.196 4. i
,3,19 6.,,42. !
I 4,196.,84. I 5.196..,90. ! 6,196.,,114.
.7,196.,,151.
8.182..,151. 9,124..151. 10,98.,,151. ;
,11.65.,,151.
i
,12,41..151.
13,6.0,,151. .J 14,2.,,151. 15-12 151. 16,-84.,,151.
,17.-94..151.
,18.-118..151, s
,19.-169..151.
.20 193.,,151.
21 220 151, !
,22,-230.,,151. f
,23,-230.,,164.
,24,-230.,,217.
,25,-230.,,265.
,26 230 ,313.
.27,230..352.
28,230..391.
,29,-230.,,430.
30, 230 ,469, 31,-230.. 502. 32,-230..-18.5.520.5 33-230.. 37 539. 34,230.,-37 565.
,35, 204.. 37 565.
36.204 65.,565. 37.-204 -84.,565. 38.-30 133, 39.-48 115. 40,-84..115.
,41,-94 115.
,42-118 115.
HOPPER AND ASSOCIATES l ENGINEERS l CALCULATION SHEET Tint: NTod W TO Mec4 N6 - 6 DATE: b N PACE: l SU8 JECT: NM96 b "b M M Oh %T% M l gy: %k CK: [8 SHT: O OF i 43,-151..133. i 44,-133..115. 45,123 115. 47,222.5,-2.5, 26. 48,222.5,-2.5,2. 49,222.5,2.5,36. i
,50,222.5, 2.5,84.
51,222.5,-2.5,108,
,52,222.5,-2.5,158.
53,222.5,-2.5.173.5 ' 54,207.. 2.5.173.5 55,182..-2.5.173.5 56,146..-2.5,173.5 57,98..-2.5.173.5 58,63.0,-2.5,173.5 1 59,2..-2.5.173.5 60,-21..-2.5,173.5 61,-94..-2.5.173.5 62,104..-2.5,173.5 i 63 -129..-2.5.173.5 / , 64,-195..-2.5.173.5 ! 65,204..-2.5.173.5 l
,66,-204. 2.5.189.
,67.-204..-2.5,217, !
68.-204..-2.5,248. .
,69,-204..-2.5,307,
,70,-204.,-2.5.313.
71,-204..-2.5,350. , 72,204.-2.5,365.5 i 73.-204..-30.5.365.5 ;
,74, 204..-42.5,377.5 !
75,-204.. 54.5,389.5 ! 76 204.,-69.,389.5 77-204..84.,389.5 [
,78.-204..-42.5.353.5
,79,-204..-54.5,341.5
,80,-204..-69.,341.5 i 81,-204..-84.341.5 ;
82,304.15.195. i 83,280.15 195. y
,84,255.15.,195. j
,85,182.15.,195.
86,176.15.195.
,87,135 15.,195. l
,88,98 15.195. i 89,92.,15.195.
90,87.15.195. ; 91,87.,15.,189, l 92,87 15.184. !
,93,87 15 162, j 94.87 15.,120. :
,104,184.,,84.
,108,182 139, !
110,98 139. 114,2..139,
,141,94..103.
120-193..139. I 124,-242..,217, !
,126,.242.,,313.
l l l
.~ . . . . - - - . .
ry - g- -
---y-
i HOPPER AND ASSOCIATES i ENGINEERS CALCULATION SHEET . TITLE: Nst Ta Goeneva so 22 ,,7,; n a 'qo ,,,,, y l
SUBJECT:
Nbid A ' bl-$W Of 9${Ld it$t(.l gy yg CK: M SHT: blE OF 128,-242..,391. ; 130,242..,469. 182,304.15.207,
,192,75 15.184. ,
,194.87.,15.132.
282,316 15 195.
,294,99.15.,120.
C"* *MATREIAL PROPERTIES FOR GALVANIZED SHEET METAL: C'"
- R 1,2.89,94.4,94.4,14 14.
C " 'RMORE,,141.6 C " ' R,2,3.9 2,23 5.9,23 5.9.19.,19. C' '
- RMORE,,353.9 C ' " R,3,2.06,3 4.4,3 4.4,10.,10. ,
C * "
- RMOR E,,51.6 R,1,2.68.8 6.6,8 6.6,14.0,14.0 RMORE.,131.2 R,2,3.63,216.9,216.9.19.0,19.0 RMORE,,327.9 R,3,1.91,31.4.31.4.10.0,10.0 RMORE.,47.8 [
R,4,.071 / 5,.056 6.113 7.106 8.128
,9,.015
,10,.117 ,
,11,.097 ,
,12,.174 i f
13,.077 14 23
,15,.153 16,.04 ,
,17 3 18.217 19.181
.20.2
,21,.166 22,.258
,23 171 24,91550.
25,57735. r 26,31455. 27,957, 28,73800. 29,35000. 30,86088. 31,4880. 32,2000. 33,3150. 34,740.
.,35,470, 36,32260.
37,37040. E.1,2 E G E N,3 6,1,-1 E.15.38 38,39
,39,40
-ve-'>e--wmw4---+ - -&-,
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: bN N D bN bU N U'b DATE: MML PAGE: $UBJECT: bEfM'Y b - bNk@b k bhM M*I EY: Nb CK: MN SHT: b$ OF 40,41 41,42 42,45 45,44 44,43 43,19 REAL,3 E 82,83 EGEN,12,1.-1 REAL,2 E.47,48 EGEN,30.1 -1 ' E,73,78
,78,79 l
,79.80 '
,80,81 TYPE 4 !
REAL,4 E2
,3 9 I 11
,13
,18
.21 23
.27 REAL,5 E.5 15 45 i
REAL,6 ' E,7 19 31
,33
,35
,38 43 REAL,7 E16 40 REAL,8 E,25
,29 REAL,9 E.36 RE AL,10 E.48 58 REAL,11 E.49 54 62 63 66 68-71 REAL,12
.. ,, .,,w---... . , - , m,. _,,,_.--.._--...r .-_+r-,m.e- 3 p , . - , . , . ..ny , , * , . v.
HCPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TIT E. fet4 3(c TO Cor4 Qq,4 t4 6 , 3 DATE: PACE:
SUBJECT:
M ii b ~ bNb bf MM kY By: NTSk- CK: _f/ SMT: bb OF bU E.51 56 60 REAL,13 E.52 69 REAL,14 i E,73 REAL,15 E,75 ! 76 79
,80 REAL,16 i E,84
,86 87 89 91
,93 RE AL,17 '
E.4 50 REAL,18 E.8 55
,85 94 REAL,19 E 10
.20 57 64 REAL,20 E,28 30 14
.59 82 REAL,21 E.17 41
,61 -
92 REAL,22 E.24 67
- RE AL,23 i E,26 l
,70 1 TYPE,2 !
REAL,24 E,4,104 REAL,30 E.24,124 RE AL,31 E.26,126 1 REAL,32 E,28,128 l l i
HOPPER AND A552CIATES ENGINEERS CALCULATION SHEET TITLE: ('d Sb TO b>NLTd.ed NO h DATE: b PAGE:
SUBJECT:
f li k~ N YY M *I BY: N CK: $N SHT: OF 30,130 REAL,33 E 92,192 REAL,34 E,82,282 REAL,37 E,94.294 TYPE,3 REAL,25 E.8,108 REAL,26 E 10,110 REAL,27 i E.14,114 REAL,28 E,41,141 REAL,29 E 20,120 RE AL,36 E,82,182 , RE AL,35 E.94,194 WSTART,1 47 82 WAVES D,104, ALL,,,124,10
,110, ALL,.130,10
,108, ALL..128,20
,126, A LL,,,141,15 18 2, A LL,,,192.10 194, ALL 282 ALL
,294,ALL 24,UY,,,30,2,R OTX,R OTZ
,55,UY,,,61,2,ROTX,ROTZ
,8 2,UY,,,8 8,3,R OTX,R OTZ
,8,UY,,,20,6,R OTX,ROTZ 4,UY,,,10,6,ROTX,ROTZ 17,UY,. 41,24,ROTX,ROTZ i
50,UY,,,70,20,ROTX,ROTZ 64,UY,,,67,3,ROTX,ROTZ 9 2,UY .,94,2,R OTX,R OTZ 8 2,R OTY,,,94,12
,1, ALL .,47,46 37,ALL 77, ALL .,81,4 CP.1,UZ,8,55,85 2,UZ,10,57,8 8
,3,UX,4,50 4,UZ,14.59 5,UZ,17,41,61 6,UZ,20,64
,7,UZ,24,67
,8,UZ,2 6,70 TOTAL,90,1 MUST ITE R,1,1,1 PRDISP 1 s % e
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE:$ >fot4% TO ObM (J.".t'd N D.3 DATE: b PACE:_ b
SUBJECT:
MNM A - ANAq% oE SYMeM Mtb 1 sy: 46% cx: /A M HT: M oF97 i PRNF,1 PRRF,1 PRSTR -1 SVTYPE,2 ' S ED,1.0,0.0,0.0 'E-W DIRECTION ' FR E Q, .91,1. 25,2.0,3.03,3.33,3.8 5,4.55,5.71,6.06 FR E Q,6. 67,7.14,13.3,20.0,23.3,50.0,500.0 C V,0,07,54.1,77.3,1 19.8,224.1,347.8,579. 6,850.1,8 50.1,850.1 S V,0.07,792.1,69 5.5,309.1,282.1. 231.8,208.7,208.7 C SPECTRUM ACCELERATION (IN/SEC) WITH 2% CAMPtNG C " " S V,0.02,73.3,88.8,166.0,3 47.0,618.0.1040.0.1540.0,1540.0,1270.0 i C " " S V,0.02,1270.0,888.0,3 28.0,3 28.0,212.0,208.0.208.0 LWRITE S ED,0,0,1.0,0.0 ' VERTICAL DIRECTION FREQ F R E Q,1.0,1.7,3.3,5.0,5.6,6.7,10.0,1 1.1,15.2 FR E Q,18.2,2 5.0,3 3.3,50.0,500.0 S V,0.07,9 2.7,9 2.7,1 1 1.3,18 5.5,214.5.214.5,69 5.5.1 197.8,1 197.8 S V,0.07,72 6.4,440.5,289. 8,193. 2,193.2 C' SPECTRUM ACCELERATION (IN/SEC) WIT li 2% DAMPING C " ' S V,0.02,9 2. 6,92.6.173.7,308.8,3 47.4,3 47.4,13 51.0,2123.0,2123.0 C ' " S V,0.02,1080. 8,521.1.308. 8. 208 . 4. 208.4 LWRITE ' S ED.O.0,0.0,1.0 'N S DIRECTION FREQ FREO,.91,1.14,1.3 3,1.54,2.22. 3.3 3,3.8 5,4.55,5.56 FRE O,5.71,5.8 8,6.06,9.09,13.3.16.7.20.0,3 3.3,500.0 + S V,0.07,50. 2,69. 6,73.4. 9 6. 6,18 3 . 5,444,4,618.2,81 1.4,81 1.4 S V,0.07,77 2.8,734. 2,734. 2. 3 57.4,241.5. 231. 8,202.9.18 5.5.185.5 C SPECTRUM ACCELERATION (IN/SEC) WITH 2% DAMPING ' C ' ' ' S V,0.02,77. 2,88. 8,124.0,124.0,2 62.0,502.0,1 160.0,1580.0,1580.0 C ' " S V,0.02.1350.0.1310.0.1040. 0,42 5.0,270.0,270.0,212.0.18 5.0.185.0 LWRITE AFWRITE FINISH
/0UT,0UTN2S2 ANS
/INP.27 l
l d l 1 l T
e 4 C Q 1 ANSYS-PC 4.4A1 $ g APR Z8 1994 g 10:59:43 PLOT No. 1
'3 Q J' h
T Y 4 POST 1 ELD 1EffTS t TYPE PR#1 4 4 3 e
! XV =1 F l W =1
- y ZU =1 C
!' DIST=446.856 {
y F =37 { i< 1
,.. YF =-34.5 3 t s, },, ' < ZF =269.5 # g y' ,/
, - ~x s
x
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- 4 m m y
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% C S "
__b o SSE FGR HUAC SYSTD14316-1 j
HOPPER AND ASSOCIATES ENGINEERS , CALCULATION SHEET TITLE: N CW MD DATE: PACE:
?
$UBJECT: NN b ~ NN Y M Ulb ~I BY: N CK: Oh' SMT: Mb 0F h D C" " C'" POST-PROCESSING FILE FOR SYSTEM 4316-1 ! C*'* i STRESS.II,4.19 I STRESS,13,4,20 STRESS,J1,4,21 , STRESS,J3,4,22 t LCUM,3 LCASE,1 SET,1,1 i LCASE,2 S ET,1,2 LCSRSS,3,1,2 5 LCASE,2 S ET,1,3 5 LCSRSS,3,2,3 LCASE 2 S ET,1,4 LCSRSS,3,2,3 LCASE,2 ' S ET,1,5 LCSRSS,3,2,3 LCASE,2 S ET,1,6 i LCSRSS,3,2,3 LCASE,2 SET.1,7 LCSRSS,3,2,3 LCASE,2 i SET 1,8 ' LCSRSS,3,2,3 j LC AS E.2 l S ET,1,9 ! LCSRSS,3,2,3 LCASE,2 S ET,1,10 LCSRSS,3,2,3 i LCASE 2 1 SET,1,11 LCSRSS,3,2,3 l I LCASE,2 l S ET,1,12 l LCSRSS,3,2,3 l LCASE.2 ! SET,1,13 LCSRSS 3.2,3 LCASE,2 SET,2,18 LCSRSS,3,2,3 LCASE,2 SET,2,24 LCSRSS,3,2,3 LCASE,2 SET,2,25 LCSRSS,3,2,3 LCASE.2 SET,3,1 LCSRSS,3,2,3 LCASE,2 SET,3,2 LCSRSS,3,2,3 l
. . . . . . . _ _ _ _ . _ - - - - i-
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: DATE: I A tl PACE:
SUBJECT:
N4I A bYW 'I BY: ND CK: f/k SHT: II OF_ ' i LCASE 2 t SET,3,3 LCSRSS,3,2,3 LCASE.2 l S ET,3,4 ' LCSRSS,3,2,3 LCASE.2 S ET,3,S LCSRSS,3,2,3 LCASE,2 S ET,3,6 LCS RSS,3,2,3 i LCASE,2 S ET,3,7 LCSRSS,3,2,3 ( LCASE.2 S ET,3,8 f LCSRSS,3,2,3 + LCASE,2 S ET,3,9 ! LCSRSS,3,2,3 LCASE.2 S ET,3,10 f LCSRSS,3,2,3 LCASE,2 SET,3,11 LCSRSS,3,2,3 LCASE.2 SET,3,12 LCSRSS,3,2,3 l! LCASE.2 SET,3,13 LCSRSS,3,2,3 6 LCASE,2 SET,3,19 LCS RSS,3,2,3
- LCASE,2 S ET,3,20 ?
LCSRSS,3,2,3 LCASE,3 ESEL, TYPE,1 ERSEL.REAL,1 NELEM PRDISP PREFOR PRSTRS,II,13.J1.J3
- EALL ESEL, TYPE,1 i
ERSEL,REAL,2 NELEM PRDISP PREFOR PRSTRS,II,t3,J1,J3 EALL , ESEL. TYPE.1 ERSEL.REAL,3 NELEM PRDISP PREFOR ' PRSTRS.11,13,lt J3 1 e -ee -
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: WN NO* h DATE: b hU PACE: b
SUBJECT:
~M % k hTN Dd* I bOC BY: CK: MM SHT: b OF %
t
*
- ElGENVALUE INATURAL FREQUENCY) SOLUTION * * * *
- MODE FREQUENCY (CYCLESITIME) ,
1 10.7695426 2 15.1177832 3 15.3198123 4 17.0026697 5 20.9726790 6 33.2040876 7 38.4820832 8 42.7501592 s 9 46.3968674 10 49.8360342
- 11 57.4085106 12 62.5323514 13 67.4258425 14 73.5391224 ,
15 77.7194027 16 94.4166889 17 96.8474360 18 100.193515 19 103.959923 20 109.827858 . 21 117.908533 22 125.812873 23 129.000925 , 24 131.653735 25 131.653765
, 26 141.530581 27 148.659846 i 28 156.759910 29 159.374828 30 165.305014 ,
31 174.021746 32 177.438660 33 179.906185 1 34 180.402718 35 184.503323 t 36 190.152778 37 192.409454 38 196.087267 39 196.963765 40 205.927181 t
,41 209.731960 42 210.643335 43 220.306140 i 44 232.944272 45 233.656787 l 46 240.790530 ;
47 246.065899 48 256.029051 . 49 262.407669 50 271.648106 51 273.355190 52 284,101987 ! 53 290.099916 54 301.867852 l _ - . . . = . . . . -- -
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: ru st To Mca4 +- d o7: Arm '94 ,,ce: AW
SUBJECT:
N b 'i b ~ M'TM Of M BY: CK: M SHT: OF D 55 306.761172 56 309.646233 57 311.770890 58 323.230341 59 333.279760 60 334.280432 61 339.994843 62 343.111751 63 359.850875 64 362.807178 65 368.421677
- 66 368.749603 67 383.813871 68 384.443363 69 386.430062 5
70 399.224644 71 403.377980 72 408.013764 73 419.355707 74 419.907105 / 75 423.997270 76 438.531399 77 440.938242 78 444.542627 79 446.685301 80 447.364878 81 473.197421 82 496.514332 83 502.596206 84 520.995600 85 529.055039 86 556.358411 87 569.244922 88 594.840871 89 613.332875 ! 90 658.328138 ' 1 l l i
-.= ;
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: [o Nd D WWM N o" h DATE: PACE: b $UBJECT:MCW h - AMLTM Of %1M M-l,y; %% CK: h5HT: OF PRINT NODAL DISPLACEMENTS
* * * *
- POST) NODAL DISPLACEMENT USTING
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,Z DISPLACEMENTS ARE IN GLOBAL COORDINATES : NODE UX UY UZ ROTX ROTY ROTZ 1 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 2 2.73E-03 4.65E-17 5.08E-04 2.34E-18 1.75E-04 0.00E + 00 3 1.27E-02 9.07E-17 1.15E-03 1.24E-18 3.43E-04 0.00E + 00 t 4 3.01E 0.00E + 00 1.86E-03 0.00E + 00 5.11 E-04 0.00E + 00 5 3.31 E-02 0.00E + 00 1.96E-03 0.00E + 00 5.35E-04 0.00E + 00 6 4.61 E-02 0.00E + 00 2.36E-03 0.00E + 00 5.78 E-04 0.0CE + 00 7 6.59E-02 0.00E + 00 2.99 E-03 0.00E + 00 4.88E-04 0.00E + 00 ; 8 6.59E-02 0.00E + 00 8.87E-03 0.00E + 00 3.90E-04 0.00E + 00 i 9 6.60E-02 9.91 E-18 1.93E-02 0.00E + 00 1.21 E-04 3.15E-19 10 6.61 E-02 0.00E + 00 2.03E-02 0.00E + 00 1.23E-04 0.00E + 00 11 6.60E-02 1.92E-17 4.19E-02 0.00E + 00 9.79 E-05 4.16E-19 j 12 6.60E-02 1.68E 17 ' 2.29 E-02 0.00E + 00 6.65E-05 4.69E 19 , 13 6.60E-02 3.22E-19 2.28 E-02 0.00E + 00 4.84E-05 1.57E 19 14 6.60E-02 0.00E + 00 2.26E-02 0.00E + 00 5.38E-05 0.00E + 00 15 6.59 E-02 7.56E-18 2.17E-02 2.06E 18 7.98E-05 8.43E 16 6.55E-02 1.21 E-18 1.39E-02 2.51E 19 1.35E-04 2.27E-19 17 6.54E-02 0.00E + 00 1.26E-02 0.00E + 00 1.34 E-04 0.00E + 00 18 6.52E-02 1.17E-17 9.62E-03 2.02E-19 1.26E-04 4.69E-19 19 6.48E-02 4.58E-18 4.16E-03 6.31 E-19 1.01 E-04 2.92E-19 20 6.46E-02 0.00E + 00 2.76E-03 0.00E + 00 5.02E-05 0.00E + 00 21 6.42E-02 2.21E 18 1.74E-03 1.26E 20 1.96E-04 1.32E 19 22 6.40E-02 3.56E-18 3.22E-03 1.73E-20 3.74 E-04 1.33E-19 23 5.76E-02 3.21 E-18 3.01 E-03 4.28E-20 6.09E-04 1.07E-19 ! 24 1.54E-02 0.00E + 00 2.21E 03 0.00E + 00 7.89E-04 0.00E + 00 : 25 1.76E 02 4.63E 21 2.08 E-03 0.00E + 00 4.66E-04 0.00E + 00 26 3.47E-02 0.00E + 00 1.95E-03 0.00E + 00 2.81 E-04 0.00E + 00 . 27 4.27E-02 2.22E-17 1.99 E-03 0.00E + 00 1.74E-04 0.00E + 00 28 4.50E-02 0.00E + 00 2.05E-03 0.00E + 00 1.10E-04 0.00E + 00 l 29 4.16E-02 2.24E 17 2.09 E-03 0.00E + 00 1.85E-04 0.00E + 00 30 3.30E-02 0.00E + 00 2.14E-03 0.00E + 00 2.84E-04 0.00E + 00 31 2.31 E-02 5.59 E-04 2.16E-03 1.96E-05 3.23E-04 9.01 E-05 [ 32 1.54E-02 8.74E-04 2.07E-03 1.36E-05 3.07E-04 1.21 E-04 33 7.92E-03 1.15E-03 1.95E-03 1.63E-05 2.59E-04 1.17E-04 34 2.33E-03 1.51 E-03 1.96E-03 1.31 E-05 1.76E-04 6.74E-05 35 2.26E-03 1.22E-04 2.75E-03 7.03E-05 1.05E-04 6.34E-05 36 5.20E-04 4.95E-05 6.65E-04 6.23E-05 4.24E 05 4.93E-05 l 37 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 38 6.70E-02 7.37E-17 2.01 E-02 3.20E-18 1.01 E-04 7.07E-20 39 6.81E-02 1.03E-16 1.82E-02 2.67E 18 1.20E-04 2.47E-18 40 6.81E-02 8.33 E-18 1.38 E-02 5.80E-19 1.30E-04 1.57E 18 41 6.81 E-02 0.00E + 00 1.26E-02 0.00E + 00 1.27 E-04 0.00E + 00 42 6.81E-02 1.12E-17 9.80E-03 4.81 E-19 1.22E-04 7.53E 19 43 6.64E-02 1.53 E-17 5.99 E-03 9.09 E-19 1.23E-04 1.63E-19 44 6.80E-02 2.24 E-17 8.07E-03 7.81 E-19 1.24E-04 6.64E-19 45 6.81 E-02 1.51 E-17 9.23E-03 5.81 E-19 1.22 E-04 7.71 E-19 MAXIMUMS NODE 41 34 12 35 24 32 VALUE 6.81E 02 1.51E 03 2.29E-02 7.03E-05 7.89E-04 1.21 E-04 g----
HOPPER AND ASSECIATES
- ENGINEERS -
CALCULATION SHEET , TITLE: YC D D N"' 3 DATE: PACE:
SUBJECT:
N b' YW BY: CK: SHT:b ' OF PRINT NODAL FORCES PER ELEMENT
* * *" POST) ELEMENT NODE FORCE USTING ""'
CALCULATED LOAD CASE. 3 THE FOLLOWING X,Y,Z FORCES ARE IN GLOBAL COORDINATES I ELEM = 1 FX FY FZ MX MY MZ 1 194.72443 1.27E-11 1314.9881 3.87E 10 16573.625 0.00E + 00 2 194.72443 1.27E-11 1314.9881 5.17E-12 13008.98 0.00E + 00 ELEM = 2 FX FY FZ MX MY MZ 2 191.07662 1.27E-11 1314.9881 5.17E-12 13008.98 0.00E + 00 ' 3 191.07662 1.27E 11 1314.9881 4.78 E-10 11566.692 0.00E + 00 ' ELEM = 3 FX FY FZ MX MY MZ 3 179.93974 2.63E 11 1314.9881 4.78E-10 11566.692 0.OOE + 00 4 179.93974 2.63 E-11 1314.9881 6.27E-10 14740.023 0.00E + 00 ELEM = 4 FX FY FZ MX MY MZ 4 489.69984 0.00E + 00 1304.7183 0.00E + 00 14740.023 0.00E + 00 5 489.69984 0.00E + 00 1304.7183 0.00E + 00 11892.555 0.00E + 00 ELEM = 5 FX FY FZ MX MY MZ 5 489.69984 0.00E + 00 1304.7183 0.00E + 00 11892.555 0.00E 4 00 6 489.69984 0.00E + 00 1304.7183 0.00E + 00 3278.9449 0.00E + 00 l ELEM = 6 FX FY FZ MX MY MZ 6 462.55143 0.00E + 00 1304.7183 0.00E + 00 3278.9449 0.00E + 00 7 462.55143 0.00E + 00 1304.7183 0.00E + 00 17694.059 0.00E + 00 ' ELEM = 7 FX FY FZ MX' MY MZ t 7 462.55141 0.00E + 00 1304.7183 0.00E + 00 17694.059 0.00E + 00 ! 8 462.55143 0.00E + 00 1304.7183 0.00E + 00 26242.589 0.00E + 00 t ELEM - 8 FX FY FZ MX MY MZ > 8 320.89886 2.94E 12 333.40459 0.00E 4 00 26242.589 7.17E-11 9 320.89886 2.94E-12 333.40459 0.00E + 00 7324.1068 9.90E 11 ELEM = 9 FX FY FZ MX MY MZ , 9 320.89886 9.96E-12 348.31831 0.00E + 00 7324.1068 9.90E-11 10 320.89886 9.96E-12 348.31831 0.00E + 00 2908.3084 1.60E-10 ELEM = 10 FX h FY FZ MX MY MZ i 10 262.58076 1.04E 11 114.25403 0.00E + 00 2908.3084 2.03E 10 11 262.58076 1.04E-11 114.25403 0.00E + 00 3833.4589 1.39E-10 ELEM = 11 FX FY FZ MX MY MZ 11 262.58076 3.90E-12 68.133366 0.00E + 00 3833.4589 1.39E-10 12 262.58076 3.90E-12 68.133366 0.00E + 00 4577.2402 4.58 E-11 ' ELEM . 12 FX FY FZ MX MY MZ ! 12 262.58076 3.90E-12 68.133366 0.00E + 00 4577.2402 4.58E 11 13 262.58076 3.90E 12 68.133366 0.00E + 00 6297.627 3.06E 11 ELEM = 13 FX FY FZ MX MY l MZ i 13 262.58076 3.90E-12 68.133366 0.00E + 00 6297.627 9.06E-11 14 262.58076 3.90E 12 68.133366 0.00E + 00 6520.9241 1.06E-10
)
~~
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET i TITLE: N*b DATE: bb PAGE: $UBJECT: Nb9N ~MLN T Y: N CK: MM SHT: OF b , ELEM = 14 FX FY FZ MX MY MZ 14 344.4038 ts 1.82E-11 100,13486 2.17E 10 6520.9241 2.79E-10 ' 15 344.40386 1.82E-11 100.13486 2.17E-10 6363.6171 2.39E-11 ELEM = 15 FX FY FZ MX MY MZ " 15 464.33077 2.30E-12 51.228575 3.71E-11 3813.9474 1.20E 10 i 16 464.33077 2.30E-12 51.228575 3.71E 11 1374.8641 4.56E 11 ; ELEM = 16 FX FY FZ MX MY MZ 16 652.32198 2.30E 12 238.32457 3.71E 11 1374.8641 4.56E-11 17 652.32198 2.30E-12 238.32457 3.71E-11 2240.8764 6.86E-11 r ELEM = 17 FX FY FZ MX MY MZ 17 652.32198 1.34E-11 58.12386 1.24E 11 2240.8764 2.09 E-10 18 652.32198 1.34E-11 58.12386 1.24E-11 1285.9171 1.12E 10 ELEM = 18 FX FY FZ MX MY MZ 18 652.32198 3.08E-12 31.325881 1.24E 11 1285.9171 1.12E-10 ' 19 652.32198 3.08E 12 31.325881 1.24E-11 2066.2284 5.02E-11 ELEM = 19 FX FY FZ MX MY MZ 19 892.94015 2.70E 12 114.29334 3.88E-11 6025.1058 1.86E 11 20 892.94015 2.70E 12 114.29334 3.88E 11 6258.7639 6.01E 11 i ELEM = 20 FX FY FZ MX MY MZ > 20 1082.113 6.50E-13 1558.2111 6.90E 13 6258.7639 2.11 E-11 21 1082.113 6.50E-13 l 1558.2111 6.90E-13 36996.475 3.52E-12 ELEM = 21 FX FY FZ MX MY MZ 21 1082.113 6.50E-13 1558.2111 6.90E 13 36996.475 3.52E-12 22 1082.113 6.50E-13 1558.2111 6.90E-13 52531.318 2.98 E-12 ELEM = 22 FX FY FZ MX MY MZ ! 22 1082.113 6.50E-13 1558.2111 - 6.90E 13 52531.318 2.98E-12 23 1082.113 6.50E-13 1558.2111 9.14E-12 38584.381 2.98E 12 i ELEM = 23 FX FY FZ MX MY MZ ' 23 1154.3887 4.21 E-13 1558.0981 9.14E 12 38584.381 2.98E 12 24 1154.3887 4.21E 13 1558.0981 1.32E-11 23823.309 2.98E 12 ELEM = 24 FX FY FZ MX MY MZ 24 176.48461 1.26E-15 257.73685 3.03E 14 23823.309 0.00E + 00 25 176.48461 1.26E-15 257.73685 3.03E-14 16772.706 0.00E + 00 ELEM = 25 FX FY FZ MX MY MZ 25 l 162.8962 1.26E 15 257.73685 3.03E 14 16772.706 0.00E + 00 ' 26 162.8962 1.26E-15 257.73685 3.03 E-14 10173.612 0.00E + 00 ELEM = 26 FX FY FZ MX MY MZ 26 136.87145 1.13E 11 331.06802 2.20E-10 10173.612 0.00E + 00 27 136.87145 1.13E 11 331.06802 2.20E-10 10436.349 0.00E + 00
)
ELEM = 27 FX FY FZ MX MY MZ 27 99.421347 1.13E 11 331.06802 2.20E 10 10436.349 0.00E + 00 28 99.421347 1.13E 11 331.06802 2.20E 10 10470.45 0.00E + 00 ELEM = 28 FX FY FZ. MX MY MZ 28 60.292202 1.14E 11 313.98542 2.22E-10 10470.45 0.00E + 00 29 60.292202 1.14E-11 313.98542 2.22E-10 10053.508 0.00E + 00
~~
l HOPPER AND ASSOCIATES ' ENGINEERS CALCULATION SHEET TITLE: P St To WCW
- b u7E: VA ' '-P- PACE:
SUBJECT:
A 6 d h - A$t,y9% 6f %%# WM gy; M CK: kk SHT: kOF b ELEM = 29 FX FY FZ MX MY MZ 29 113.61969 1.14E-11 313.98542 2.22E 10 10053.508 0.00E + 00 30 113.61969 1.14E-11 313.98542 2.22E-10 6371.7842 0.00E + 00 ELEM = 30 FX FY FZ MX MY MZ 30 137.46603 210.11411 307.00207 4849.5389 6371.7842 4028.2552 31 137.46603 210.11411 307.00207 2229.7557 2910.0138 4028.2552 ELEM = 31 FX FY FZ MX~ MY MZ 31 189.06723 207.08726 307.00207 2229.7557 2910.0138 4028.2552 32 189.06713 207.08726 307.00207 460.09895 2920.8744 768.68419 ELEM = 32 FX FY FZ MX MY MZ 32 189.06723 207.08726 307.00207 460.09895 2920.8744 768.68419 33 189.06723 207.08726 307.00207 1637.9286 5750.0657 3069.7447 ELEM = 33 FX FY FZ MX MY MZ 33 217.08554 204.05618 312.47325 1637.9286 5750.0657 3069.7447 , 34 217.08554 204.05618 312.47325 3808.8797 11032.289 3069.7447 ' I ELEM. 34 FX FY FZ MX MY MZ 34 217.08554 202.46157 312.47325 3808.8797 11032.289 3069.7447 35 217.08554 202.46157 312.47325 3808.8797 3290.5528 2254.8464 ELEM = 35 FX FY FZ MX MY MZ 35 227.74243 202.46157 320.55527 3808.8797 3290.5528 2254.8464 36 227.74243 202.46157 320.55527 5194.8049 3290.5528 4386.6617 > ELEM - 36 FX FY FZ MX MY MZ , 36 227.74243 202.46157 320.55527 5194.8049 3290.5528 4386.6617 37 227.74243 202.46157 320.55527 11278.933 3290.5528 8669.9031 ELEM = 37 FX FY FZ MX MY MZ 15 203.47229 2.05E-11 79.116081 2.54E-10 3227.5365 1.44E 10 38 203.47229 2.05E-11 79.116081 1.25E-10 2411.9641 2.26E-10 ELEM - 38 FX FY FZ MX MY MZ 38 141.95373 4.49E 12 79.116081 1.25E-10 2411.9641 2.26E-10 39 141.95373 4.49E-12 79.116081 8.55E-11 2455.3951 1.98 E-10 ELEM = 39 FX FY FZ MX MY MZ 39 141.95373 1.44E-11 97.008202 8.55E-11 2455.3951 1.98E 10 ( 40 141.95373 1.44E-11 97.008202 8.55E 11 1322.2619 3.22E 10 ELEM = 40 FX FY FZ MX MY MZ 40 141.95373 1.44E-11 97.008202 8.55E-11 1322.2619 3.22E-10
- 41 141.95373 1.44E-11 97.008202 8.55E-11 2210.9265 4.67E-10 ELEM = 41 FX FY FZ MX MY MZ 41 188.15563 4.80E-12 74.3184 2.95E-11 2210.9265 1.3 E E-10 42 188.15563 4.80E 12 74.3184 2.95E-11 1745.5827 2.12E-11 l
ELEM = 42 FX FY FZ MX MY MZ 42 188.15563 4.80E-12 75.817176 2.95E-11 1745.5827 2.12E 11 45 188.15363 4.80E 12 75.817176 2.95E-11 1884.2289 3.58E-12 ELEM = 43 FX FY FZ MX MY MZ 45 188.15563 4.80E-12 75.817176 2.95E-11 1884.2289 3.58 E-12 t L
.e .m - - ~ ~
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: *b DATE: @ PACE:
SUBJECT:
Nb' N O BY: CK: Mk SHT: OF 44 188.15563 4.80E-12 75.817176 2.95E-11 2327.8904 5.10E-11
' ELEM - 44 FX FY FZ MX MY MZ 44 188.15563 1.43E-12 75.817176 2.95E-11 2327.8904 5.10E-11 43 188.15563 1.43E-12 75.817176 1.89E-11 1227.4369 4.11 E-11 ELEM = 45 FX FY FZ MX MY MZ 43 289.92659 3.55E-12 75.817176 1.89 E.11 1227.4369 4.11 E-11 19 289.92659 3.55E-12 75.817176 5.12E-11 4400.0203 3.26E 11 PRINT ELEMENT STRESS ITEMS PER ELEMENT
' POST 1 ELEMENT STRESS LISTING ""*
CALCULATED LOAD CASE = 3 ELEM 11 13 J1 J3 1 976.75854 1765.4687 672.78511 1496.7689 2 672.78511 1496.7689 648.63212 1345.0113 3 648.63212 1345.0113 1069.0898 1475.7013 4 1068.3881 1473.6698 858.7739 1258.8443 5 858.7739 1258.8443 580.26574 527.07013 6 580.26574 527.07013 1366.7089 1642.3375 7 1497.0451 1381.8762 2208.4941 2044.829 8 2146.5448 2102.3898 616.9066 590.82242 9 616.9066 590.82242 289.74983 235.04748 10 247.06P M 282.07586 362.59652 282.40814 11 362.59652 282.40814 407.57709 356.17092 12 407.57709 356.17092 527.87416 508.72782 13 527.87416 508.72782 544.26139 527.86188 14 525.84242 558.72901 500.78344 558.04917 15 339.09477 367.60394 115.42498 267.23455 16 174.23111 335.90921 244.70057 352.46397 17 244.70057 352.46397 243.72018 284.07622 18 243.72018 284.07622 220.72921 354.34186 19 356.8942 754.33801 343.30724 784.88594 20 342.21682 849.01879 2634.9389 3356.9436 21 2634.9389 3356.9436 3889.315 4610.7908 22 3718.1563 4786.5973 2587.6496 3665.2929 23 2588.2879 3664.8288 1519.2463 2405.061 24 1852.1405 2001.1235 1275.466 1438.0063 25 1275.466 1438.0063 738.25543 908.8382 26 753.44872 902.96522 743.73349 949.02673 27 743.73349 949.02673 740.04547 956.78653 28 739.84245 955.33896 710.09597 918.68442 29 710.09597 918.68442 428.89452 611.58388 30 791.45308 988.57411 296.78496 498.73637 31 396.2407 618.87224 165.46543 315.33875 ' 32 165.46543 315.33875 503.79166 758.42882 33 487.03388 702.79576 1089.1628 1306.8926 34 1067.9439 1212.6127 369.69314 513.87615 35 416.88526 558.44791 667.31401 804.31267 36 667.31401 804.31267 1490.6591 1629.2033 37 298.66954 239.68772 227.57375 186.44371 38 213.43747 192.92463 206.19108 207.42008 39 204.36013 206.47327 119.94554 118.6214 40 119.94554 118.6214 185.87692 186.91475 l 41 181.2357 202.20765 122.65462 186.09466 42 122.65462 186.09466 141.22559 190.54401 l i,a.e
.m e ,% e
l HOPPER AND ASSOCIATES i ENGINEERS l l CALCULATION SHEET 3 ' TITLE:
- DATE: d PACE: I1
SUBJECT:
U b- LM N M A SY: CK: Mb SHT: OF_ , 43 141.22559 190.54401 173.2957 225.03361 44 177.59894 220.6825 117.82555 123.42331 45 131.83957 140.32117 312.50726 415.58555 l MINIMUMS ELEMENT 40 40 15 39 VALUE 119.94554 118.6214 115.42498 118.6214 ; MAXIMUMS ELEMENT 22 22 21 21 VALUE 3718.1563 4786.5973 3889.315 4610.7908 t r 178 ELEMENTS (OF 178 DEFINED) SELECTED BY EALL COMMAND. ESEL FOR LABEL = TYPE FROM 1TO 1 BY 1 . 91 ELEMENTS (OF 178 DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL = REAL FROM 2TO 2By 1 34 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND.
. 35 NODES (OF 108 DEFINED) SELECTED FROM 34 SELECTED ELEMENTS BY NELE COMMAND.
PRINT NODAL DISPLACEMENTS
" POSTI NODAL DISPLACEMENT LISTING "*"
CALCULATED LOAD CASE = 3 L THE FOLLOWING X.Y.Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROTZ 47 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 48 1.15E-03 4.15E-18 5.44 E-04 2.27E-19 9.08E-05 0.00E + 00 49 7.15E-03 8.71 E-18 1.21 E-03 6.15E-20 2.80E-04 0.00E + 00 50 3.01 E-02 0.00E + 00 2.14E-03 0.00E + 00 7.17E-04 0.00E + 00 51 4.98 E-02 2.05E-18 2.61 E-03 1.30E-19 8.98E-04 7.55E 20 52 9.33E-02 8.41E-18 3.58 E-03 1.16E-19 7.26E-04 2.33E-19 53 0.10304458 1.01E 17 3.88E-03 9.81E 20 5.26E-04 2.81 E-19 54 0.10331206 5.46E-18 2.78E-03 6.06E 20 3.33 E-04 3.13E 19 55 0.10367451 0.00E + 00 8.87E-03 0.00E + 00 1.94 E-04 0.00E + 00 56 0.10419648 3.67E-17 1.4BE-02 0.00E + 00 1.57E-04 3.82E 19 57 0.10474654 0.00E + 00 2.03 E-02 0.00E + 00 1.22E-04 0.00E + 00 58 0.10514765 7.26E-18 2.28E-02 0.00E + 00 9.25E-05 1.33 E-19 59 0.1056627 0.00E + 00 2.26E-02 0.00E + 00 7.14E-05 0.00E + 00 60 0.10585692 0.00E + 00 2.08E-02 0.00E + 00 9.93 E-05 0.00E + 00 61 0.10623035 0.00E + 00 1.26E-02 0.00E + 00 1.13E-04 0,00E + 00 ' 62 0.10628151 3.90E-18 1.18E-02 0.00E + 00 1.05E-04 7.05E 19 63 0.10631008 2.46E.17 1.04E-02 0.00E + 00 9.07E-05 4.78E-19 64 0.10638326 0.00E + 00 2.76E-03 0.00E + 00 2.55E-04 0.00E + 00 65 0.10639585 0.00E + 00 1.99 E-03 0.00E + 00 3.10E-04 0.00E + 00 66 0.10117017 0.00E + 00 2.06E-03 0.00E + 00 3.77E-04 0.00E + 00 67 0.89113308 0.00000000 2.21 E-03 0.00E + 00 4.90E-04 0.00E + 00 68 0.72562235 0.10632051 2.13E-03 2.69E 24 5.79E-04 0.00E + 00 69 0.36856709 0.39033507 1.97E-03 1.25E-24 6.01 E-04 0.00E + 00 70 0.33292042 0.00000000 1.95E-03 0.00E + 00 5.92E-04 0.00E + 00 71 1.34E-02 5.82E-05 1.71 E-03 5.45E-06 4.70E-04 7.92E-05 72 6.88 E-03 1.51 E-04 1.61 E-03 2.31 E-05 3.87E-04 1.12E-04 73 - 3.55E-03 8.79E-05 8.02E-04 2.09E-05 9.95E-05 1.15E-04 ! o- =mO+s me ee-
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: NNb ' 3 DATE: PAGE: $UBJECT: A A- L A of $ Dj % l gy M: CK:l k SHT: Aw OF bD 74 1.53 E-03 1.75E-04 5.33 E-04 1.07E-05 6.89E-05 6.57E-05 75 3.52E-04 2.11 E-04 3.14E-04 1.26E-05 5.02E-05 2.88E-05 76 8.19E-05 1.07E-04 1.14E-04 1.29E-05 2.55E-05 1.14E-05 77 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 NODE UX UY UZ ROTX ROTY ROTZ 78 2.89 E-03 4.88 E-05 5.35 E-04 1.39 E-05 4.26E-05 1.22E-04 79 1.81 E-03 1.44E-04 3.08 E-04 1.41 E-05 1.47 E-05 1.02E-04 80 5.44 E-04 7.34E-05 1.05E-04 1.23E-05 7.46E-06 6.73E-05 81 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 MAXIMUMS NODE 65 75 58 72 51 78 VALUE 0.10639585 2.11 E-04 2.2 BE-02 2.31 E-05 8.9 8 E-04 1.22E-04 PRINT NODAL FORCES PER ELEMENT
* * * *
- POST) ELEMENT NODE FORCE LISTING * * * *
- i CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y.Z FORCES ARE IN GLOBAL COORDINATES ELEM = 58 FX FY FZ MX MY MZ 47 559.5858 3.36E-12 2046.6733 9.80E-11 15147.239 0.00E + 00 48 559.5858 3.36 E-12 2046.6733 3.85E-12 26930.174 0.00E + 00 e
ELEM = 59 FX FY FZ MX MY MZ 48 559.5858 3.36E-12 2046.6733 3.85E-12 26930.174 0.00E + 00 49 559.5858 3.36E-12 2046.6733 1.11 E-10 44579.847 0.00E + 00 ELEM = 60 FX FY FZ MX MY MZ 49 569.83593 4.94E 12 2046.6733 1.11 E-10 44579.847 0.00E + 00 50 569.83593 4.94E-12 2046.6733 1.27E-10 71343.876 0.00E + 00 ELEM = 61 FX FY FZ MX MY MZ 50 1967.3837 2.77E-12 2046.6733 6.67E-11 71343.876 1.16E-11 51 1967.3837 2.77E-12 2046.6733 7.9BE 12 24364.836 1.16E-11 ELEM = 62 FX FY FZ MX MY MZ 51 1828.4683 2.22E-13 2047.623 7.98E-12 24364.836 1.16E 11 52 1828.4683 2.22E-13 2047.623 6.13 E-12 67455.019 1.16E-11 ELEM - 63 FX FY FZ MX MY MZ 52 1828.4683 2.22E.13 2047.623 6.13E-12 67455.019 1.16E-11 53 1828.4683 2.22E-13 2047.623 8.93E-12 95765.271 1.16E-11 ELEM. 64 FX FY FZ MX MY MZ 53 1828.4683 2.22E-13 2047.623 8.93E-12 95765.271 1.16E-11 54 1828.4683 2.22E-13 2047.623 8.93E-12 64344.199 1.45E-11 ELEM - 65 FX FY FZ MX MY MZ 54 1537.6357 7.46E-12 2047.623 8.93 E-12 64344.199 1.45E 11 55 1537.6357 7.46E 12 2047.623 8.93E-12 16466.147 1.72E-10 ELEM = 66 FX FY FZ MX MY MZ 55 1537.6357 4.82E-11 204.94418 0.00E + 00 16466.147 9.35E-10 56 1537.6357 4.82E 11 204.94418 0.00E + 00 12382.72 8.02E-10 , i ELEM. 87 FX FY FZ MX MY MZ l
HOPPER AND ASSOCIATES j ENGINEERS CALCULATION SHEET ' TITLE: b N*b DATE: b PACE: SUBJECT.
~
MW BY: CK: SHT: OF 56 1217.6024 3.13E 11 165.33171 0.00E + 00 12382.72 8.02E 10 57 1217.6024 3.13E-11 165.33171 0.00E + 00 10077.933 7.01E 10 ELEM = 68 FX FY FZ MX MY MZ 57 1217.6024 8.70E 12 197.61806 0.00E + 00 10077.933 1.76E-10 58 1217.6024 8.70E-12 197.61806 0.00E + 00 11516.987 1.28 E-10 ELEM = 69 FX FY FZ MX MY MZ 58 901.29006 3.76E 12 141.23038 0.00E + 00 11516.987 1.28E 10 59 901.29006 3.76E-12 141.23038 0.00E + 00 14632.63 1.01 E-10 ELEM = 70 FX FY FZ MX MY MZ 59 901.29006 0.00E + 00 157.06806 0.00E + 00 14632.63 0.00E + 00 60 901.29006 0.00E + 00 157.06806 0.00E + 00 12023.263 0.00E + 00 ELEM - 71 FX FY FZ MX MY MZ , 60 556.338 0.00E + 00 262.51349 0.00E + 00 12023.263 0.00E + 00 61 556.338 0.00E + 00 262.51349 0.00E + 00 10535.049 0.00E + 00 ELEM = 72 FX FY
- FZ MX MY MZ f 61 556.338 2.8 6E-11 508.79306 0.00E + 00 10535.049 5.87E 10 62 556.338 2.86E-11 508.79306 0.00E + 00 6128.8704 3.00E-10 i
ELEM = 73 FX FY FZ MX MY MZ ' 62 184.67661 2.86E 11 508.79306 0.00E + 00 6128.8704 3.00E-10 63 184.67661 2.86E-11 508.79306 0.00E + 00 8972.9661 4.15E 10 ELEM = 74 FX FY FZ MX MY MZ 63 184.67661 1.15E 11 466.40101 0.00E + 00 8972.9661 4.15E 10 64 184.67661 1.15E-11 466.40101 0.00E + 00 38142.008 3.21E 10 ELEM = 75 FX FY FZ MX MY MZ 64 184.67661 0.00E + 00 1053.6714 0.00E + 00 38142.008 0.00E + 00 65 184.67661 0.00E + 00 1053.6714 0.00E + 00 27684.378 0.00E + 00 ELEM = 76 FX FY FZ MX MY MZ 65 184.67661 0.00E + 00 1053.6714 0.00E + 00 27684.378 0.00E + 00 66 184.67661 0.00E + 00 1053.6714 0.00E + 00 29231.956 0.00E + 00 ELEM = 77 FX FY FZ MX MY MZ 66 256.62078 0.00E + 00 1053.6714 0.00E + 00 29231.956 0.00E + 00 67 256.62078 0.00E + 00 1053.6714 0.00E + 00 23191.69 0.00E + 00 ELEM = 78 FX FY FZ MX MY MZ 67 290.68558 1.64E 16 349.09879 3.08E-15 23191.69 0.00E + 00 68 290.68558 1.64E-16 349.09879 1.99E-15 15009.736 0.00E + 00 ELEM = 79 FX FY FZ MX MY MZ 68 401.10345 5.33E-17 349.09879 1.99E-15 15009.736 0.00E + 00 69 401.10345 5.33 E-17 349.09879 1.15E-15 11187.769 0.00E + 00 ELEM - 80 FX FY FZ MX MY MZ 69 401.10345 5.33E 17 349.09879 1.15E-15 11187.769 0.00E + 00 70 401.10345 5.33E 17 349.09879 1.47E-15 13331.49 0.00E + 00 ELEM . 81 FX FY FZ MX MY MZ 70 529.55074 236.88376 675.4107 3456.4625 13331.49 7890.0265 71 529.55074 236.88376 675.4107 5308.2366 29994.341 7890.0265 ELEM = 82 FX FY FZ MX MY MZ 71 529.55074 236.88376 675.4107 5308.2366 29994.341 7890.0265
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: DATE: L PACE: SUBJECT M 6
~
BY: NE CK: kh SHT: OF 72 529.55074 236.88376 675.4107 8979.9349 37819.128 7890.0265 ELEM = 83 FX FY FZ MX MY MZ 72 529.55074 236.88376 675.4107 8979.9349 37819.128 7890.0265 73 529.55074 236.88376 675.4107 9931.5648 37819.128 6937.3941 ELEM = 84 FX FY FZ MX MY MZ 73 373.88678 752.3119 379.56345 6025.0304 15084.734 19155.965 74 373.88678 752.3119 379.56345 1552.049 10643.9 14836.56 ELEM = 85 FX FY FZ MX MY MZ 74 373.88678 752.3119 379.56345 1552.049 10643.9 14836.56 75 373.88678 752.3119 379.56345 2920.9324 6268.6441 10656.262 ELEM = 86 FX FY FZ MX MY MZ 75 373.88678 752.3119 379.56345 2920.9324 6268.6441 10656.262 76 373.88678 752.3119 37,9.56345 2582.7377 6268.6441 6204.9632 ELEM . 87 FX FY FZ MX MY MZ 76 373.88678 752.3119 379.56345 2582.7377 6268.6441 6204.9632 77 373.88678 752.3119 379.56345 8276.1895 6268.6441 4766.2132 ELEM = 88 F.Y. FY FZ MX MY MZ 73 880.00007 515.42814 295.84725 3906.5344 22798.464 12485.985 78 880.00007 515.42814 295.84725 1271.5637 12249.596 2626.5933 ELEM = 89 FX FY FZ MX MY MZ 78 880.00007 515.42814 295.84725 1271.5637 12249.596 2626.5933 79 880.00007 515.42814 295.84725 1363.407 1833.7111 8995.8541 ELEM = 90 FX FY FZ MX MY MZ 79 880.00007 515.42814 295.84725 1363.407 1833.7111 8995.8541 80 880.00007 515.42814 295.84725 2926.3782 1833.7111 21631.856 ELEM = 91 FX FY FZ MX MY MZ B0 880.00007 515.42814 295.84725 2926.3782 1833.7111 21631.856 81 880.00007 515.42814 295.84725 7364.0869 1833.7111 34798.941 PRINT ELEMENT STRESS ITEMS PER ELEMENT
* * * *
- POST 1 ELEMENT STRESS LISTING * * * *
- CALCULATED LOAD CASE = 3 ELEM 11 13 J1 J3 58 1151.4031 436.29075 1723.9707 667.9993 59 172?.9707 667.9993 2497.1571 1422.9955 60 2497.1571 1422.9955 3659.2913 2602.6899 61 3659.2913 2602.6899 1597.7125 600.62046 62 1598.4164 599.23731 3494.4976 2425.3972 63 3494.4976 2425.3972 4733.5511 3662.8161 64 4680.463 3713.0932 3305.332 2338.1297 65 3227.0734 2414.4314 1083.6063 474.25378 66 1083.6063 474.25378 940.21555 251.28031 67 855.40171 285.65642 734.35248 274.63343 68 734.35248 274.63343 754.54229 405.70108 69 682.48665 407.93516 742.7557 626.97706 70 742.7557 626.97706 601.48199 562.26667 71 562.7139 533.81672 598.146 339.15247
HOPPER AND ASSOCIATES : ENGINEERS j CALCULATION SHEET I TITLE: b D d' @*3 DA7E:
- PAGE: b SU3 JECT: Nd b " BED Y #
EY: b CK: YIf SHT: OF bh l 72 598.146 339.15247 392.08492 193.30191 73 295.77022 248.62579 424.86368 365.48066 t 74 424.86368 365.48066 1701.8407 1640.3043 ; 75 1701.8407 1640.3043 1243.4411 1183.0361 76 1474.7925 966.45811 1544.8346 1029.7992 77 1544.8346 1029.7992 1278.5731 772.8835 78 931.50771 1101.9884 571.52616 745.81121 79 571.52616 745.81121 403.51948 579.56442 ELEM 11 13 J1 J3 80 403.51948 579.56442 495.12391 674.71599 81 587.09296 860.16146 1367.8377 1572.1545 82 1367.8377 1572.1545 1826.3387 2044.7885
- 83 657.92126 744.5123 659.2112 745.38011 84 1126.2361 1383.3535 727.46489 980.24786 i 85 727.46489 980.24786 510.66117 785.55121 86 462.30405 726.04152 275.52357 543.3824 87 275.52357 543.3824 442.23953 699.23378 88 1304.6096 1123.2348 579.62259 410.9574 89 579.62259 410.9574 4)4.37592 212.59876 90 548.36056 364.54088 1140.6847 962.42123 '
91 1140.6847 962.42123 1862.9824 1684.8077 MINtMUMS ELEMENT 87 73 86 72 i VALUE 275.52357 248.62579 275.52357 193.30191 MAXIMUMS k ELEMENT 64 64 63 63 ' VALUE 4680.463 3713.0932 4733.5511 3662.8161 178 ELEMENTS (OF 178 DEFINED) SELECTED BY EALL COMMAND. i ESEL FOR LABEL = TYPE FROM 1 TO 1 BY 1 91 ELEMENTS (OF 178 DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL REAL FROM 3 TO 3 BY 1 . 12 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND. 13 NODES (OF 108 DEFINED) SELECTED FROM 12 SELECTED ELEMENTS BY NELE COMMAND. PRINT NODAL DISPLACEMENTS
" POST 1 NODAL DISPLACEMENT LtSTING " '
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROTZ 82 3.34E-02 0.00E + 00 1.96E-03 0.00E + 00 0.00E + 00 0.00E + 00 83 3.34E-02 1.20E-04 2.21 E-03 0.00E + 00 3.89E-05 7.89E-06 84 3.34E-02 2.82E-04 3.05E-03 0.00E + 00 6.67E-05 ' 2.84E-06 85 3.32E-02 0.00E + 00 8.87E-03 0.00E + 00 1.51 E-04 0.00E + 00 86 3.32E-02 1.87E-18 9.61 E-03 0.00E + 00 1.61 E-04 5.92E.19 87 3.30E-02 3.70E-17 1.56E-02 0.00E 4 00 1.58 E-04 3.19E-19 88 3.28E-02 0.00E + 00 2.03 E-02 0.00E + 00 2.54E44 0.00E + 00 89 3.28E-02 0.00E + 00 2.11E-02 0.00E + 00 2.95E-04 0.00E + 00 90 3.28E-02 0.00E + 00 2.18 E-02 0.00E + 00 3.29 E-04 1 0.00E + 00 I
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE i @ st To coew so , a oX7e Arcu- '94 nce A t4 $UBJECT: OD ~ bb T M SY: O CK: M SHT: OF i 1 l 91 3.07E-02 0.00E + 00 2.18E-02 0.00E + 00 3.67E-04 0.00E + 00 92 2.89E-02 0.00E + 00 2.19E-02 0.00E + 00 3.92E-04 0.00E + 00 93 1.99E-02 0.00E + 00 2.19E-02 0.00E + 00 4.11 E-04 0.00E + 00 94 9.27E-03 0.00E + 00 2.20E-02 0.00E + 00 0.00E + 00 0.00E + 00 - MAXIMUMS ' NODE 82 84 94 0 93 83 VALUE O.33435486E-01 0.28205206E-03 0.21952519E-01 0.00000000E + 00 0.41128482E-03 0.78929072E-PRINT NODAL FORCES PER ELEMENT
POST) ELEMENT NODE FORCE USTING * * * *
- CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,Z FORCES ARE IN GLOBAL COORDINATES ELEM = 46 FX FY FZ MX MY MZ 82 91.069416 19.737391 3 4364753 0.00E + 00 1774.2245 536.31875 83 91.069416 19.737391 34.364753 0.00E + 00 1246.9846 62.62136 ELEM = 47 FX FY FZ MX MY MZ 83 91.069416 19.737391 34.364753 0.00E + 00 1246.9846 62.62136 84 91.069416 19.737391 34.364753 0.00E + 00 1158.5959 430.81342 !
ELEM = 48 FX FY FZ MX MY MZ 84 91.069416 10.832989 29.785915 0.00E + 00 1158.5959 430.81342 , 85 91.069416 10.832989 29.785915 0.00E + 00 2382.0336 359.99478 ELEM = 49 FX FY FZ MX MY MZ 85 280.10922 4.68 E-12 122.67909 0.00E + 00 2382.0336 1.04E-10 86 280.10922 4.68E-12 122.67909 0.00E + 00 1753.6462 7.57E-11 ' ELEM = 50 FX FY FZ MX MY MZ 86 280.10922 4.68E-12 122.67909 0.00E + 00 1753.6462 7.57E 11 87 280.10922 4.68E 12 122.67909 0.00E + 00 3783.9667 1.16E 10 ELEM = 51 FX FY FZ MX MY MZ 87 280.10922 6.70E.12 111.74601 0.00E + 00 3783.9667 1.16E 10 88 280.10922 6.70E-12 111.74601 0.00E + 00 7845.5819 1.32E.10 i ELEM = 52 FX FY FZ MX MY M2 88 280.10922 0.00E + 00 125.1007 0.00E + 00 7845.5819 0.00E + 00 89 280.10922 0.00E + 00 125.1007 0.00E + 00 7837.5296 0.00E + 00 i ELEM = 53 FX FY FZ MX MY MZ 89 230.10922 0.00E + 00 125.1007 0.00E + 00 7837.5296 0.00E + 00 90 M D.10922 0.00E + 00 125.1007 0.00E + 00 7885.5813 0.00E + 00 ELEM = 54 FX FY FZ MX MY MZ 90 280.10922 0.00E + 00 125.1007 0.00E + 00 7885.5813 0.00E + @ 91 280.10922 0.00E + 00 125.1007 0.00E + 00 6276.9759 0.00E + 6 0 ELEM = 55 FX FY FZ MX MY MZ 91 280.10922 0.00E + 00 125.1007 0.00E + 00 6276.9759 0.00E + 00 92 280.10922 0.00E + 00 125.1007 0.00E + 00 4973.0091 0.00E + 00 ELEM = 56 FX FY FZ MX MY MZ 92 310.63301 0.00E + 00 125.1007 0.00E + 00 4973.0091 0.00E + 00 93 310.63301 0.00E + 00 125.1007 0.00E + 00 2821.8533 0.00E + 00
~ ~
~ - _
r d HOPPER AND ASSOCIATES , ENGINEERS i CALCULATION SHEET TITLE: WoM Q TD WWW No . 77 DATE Qk Pact
SUBJECT:
~
N U N gy: @ CK: M SHT: OF T ELEM = 57 FX FY FZ MX MY MZ ! 93 314.40328 0.00E + 00 125.1007 0.00E + 00 2821.8533 0.00E + 00 l 94 314.40328 0.00E + 00 125.1007 0,ME + 00 15435.342 0.00E + 00 I f PRINT ELEMENT STRESS ITEMS PER ELEMENT j
" POST 1 ELEMENT STRESS LISTING ""'
CALCULATED LOAD CASE = 3 i ELEM 11 13 J1 J3 46 311.97898 287.16198 210.39511 198.38953 I 47 210.39511 198.38953 2D6.68671 199.61095 t 48 206.68671 199.61095 406.82349 365.41456 49 468.45369 333.63165 355.00723 270.07038 j 50 355.00723 270.07038 739.33283 471.71669 ; 51 739.33283 471.71669 1380.3357 1122.1281 52 1380.3357 1122.1281 1374.6252 1126.2769 53 1374.6252 1126.2769 1378.0127 1139.0738 f 54 1228.0877 1285.9914 970.72083 1031.676 55 970.72083 1031.676 761.66635 826.19217 56 761.66635 826.19217 430.70746 476.32272 57 430.70746 476.32272 2439.8189 2477.4958 t MINIMUMS ELEMENT 48 47 47 46 . VALUE 206.68671 198.38953 206 68671 198.38953 ! MAXIMUMS ELEMENT 52 54 57 57 VALUE 1380.3357 1285.9914 2439.8189 2477.4958 i
"*" END OF INPUT ENCOUNTERED ON FILE 38. FILE 38 REWOUND
" INPUT FILE SWITCHED FROM FILE 38 TO FILE 5 I
+
t i
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET , TITLE: bN iO @M ' b DATE: PACE:
SUBJECT:
@ 8Y b ~ b @ DI % M W BY: CK: [ ' SHT: OF :
/ PREP 7 3
/0UT,0UTN152,SSE .;
/ TITLE,SSE FOR HVAC SYSTEM 4316-1 C'
C'* * *RE-ANALYZE SYSTEM 43161 BASED ON BARE SHEET METAL THICKNESS C'USE SITE SPECIFIC EARTHQUAKE WITH 2% DAMPING ' C ' ' ' ' D ATE: 4-25-94 C**** i KAN,2 KAY,2,90 ET.1,4
,2,14,,1 l 3.14.3 4,21,,,2 :
EX,1,29.E6 NUXY,1,0.29 DENS 1,0.00125 ' C' DENSITY IS INCREASED FROM 0.0012 TO 0.00125. C''THIS IS TO RECOVER THE WT. LOSS DUE TO AREA REDUCTION C* *BECAUSE SYSTEM WT, REMAINS THE SAME. ' N,1,19 6...-2 6. '
.2.19 6..,4.
,3,19 6.,,4 2.
,4,19 6..,84.
,5,196..90.
,6,196..114.
7.196..151. 8.182.,,151. 9,124 151,
,10,98..151.
11,65.,,151.
.12,41..151, i 13,6.0,,151, ,
,14,2..151, f 15-12..151.
.16.-84..151,
,17.94..151.
,18.-118 151,
,19-169..151.
,20,-193..151,
,21,-220.,,151.
.22,-230.,,151,
,23.-230..164.
24,-230.,,217.
,25.-230.,,265.
.26.-230.,,313.
,27. 230.,,352, 28, 230.,,391,
,29, 230.,,430.
30, 230.,,469. 31,-230.,,502. ; 32, 230..-18.5,520.5 ] 33.-230..37.539,
- 34. 230..37. 565. I 35, 204..37.565. I 36.-204..-65.565.
- 37. 204..-84.565.
38 30..133,
,39,-48..115.
I HOPPER AND ASSOCIATES l ENGINEERS ' CALCULATION SHEET ' TITLE: N *D DATE: PAGE:
SUBJECT:
NMk"AMNM Y M N k$lb I BY: h CK: Y SHT: OF bD . 40,-84..115. 41,-94..115.
,42,-118 115.
43-151..133. l 44,-133..115. ) 45,-123 115. - 47,222.5,-2.5,-26. 48,222.5,-2.5,2. 49.222.5,-2.5,36. ' 50,222.5,-2.5,84. :
,51,222.5, 2.5.108.
,52,222.5,-2.5,158. !
,53,222.5, 2.5,173.5 54,207.. 2.5.173.5 55,182..-2.5.173.5 I 56,146 2.5.173.5 t
,57,98.,-2.5,173.5 58,63.0,-2.5.173.5 59,2..-2.5.173.5 '
60, 21..-2.5.173.5 , 61.-94.. 2.5.173.5 i
,62,-104..-2.5.173.5 >
.63,-129 -2.5.173.5 64,-193.. 2.5.173.5 65,-204. 2.5,173.5 66-204 -2.5.189. .
67,-204..-2.5,217 68, 204..-2.5,248. F 69.-204.. 2.5,307. 70,-204..-2.5,313. 71,-204.. 2.5,350.
,72, 204..-2.5,365.5
,73,-204..-30.5,365.5
,74, 204..-42.5,377.5 75,-204..-54.5,389.5 76 204..-69.389.5 77,-204..84.,389.5 '
,78.-204..-42.5,353.5 79.204 -54.5.341.5
,80,-204..-69.,341.5
- 81. 204 -84.,341.5 82,304.15.195.' f
,83,280.,15.,195. i 84.255.15 195.
,85,182.,15 195.
,86,176.15.195.
,87,135 15.195.
88,98.,15.,195.
,89,92.15 195.
,90.87.15.,195.
91.87 15 189. 92.87.15.184. 93.87.15 162.
,94.87.,15.,120.
,104.184 84.
,108.182..139.
,110,98..139.
,114,2 139.
141-94 103. m - m-- - 4 -- - m - _ _ - - _ _ _ - -
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: ( [st4 Tb (pW (t g ed ti o . 2, , [ggi y gg
SUBJECT:
k N C y gt h - AdlA(y4 % b p $ T y 144l b ,g ,Y g4 CK: fMM $HT: bOF kD 120.-193..139. 124,-242.,,217,
,126,-242..313.
128.-242..391. 130, 242..469. 182,304.15.,207. 192.75 15.184. 194,87.15.,132. 282,316.15.,195. 294,99.15.120. C'MATREIAL PROPERTIES FOR G ALVANIZED SHEET METAL: C ' ' ' ' R,1,2.8 9.9 4.4,9 4.4.14.,14. C' * *
- RMORE,,141.6 C " ' ' R,2,3.9 2,2 3 5.9.23 5.9.19.19.
C' * *
- RMORE,,353.9 C ' ' *
- R,3,2.0 6,3 4.4.34.4,10.10. j C * * *
- RMORE,.51.6 R,1,2.68,86.6.8 6.6.14.0.14.0 RMORE.131.2 R,2,3.63,216.9,216.9.19.0.19.0 l 1 RMORE,.327.9 R 3.1.91,31.4.31.4,10.0.10.0 RMORE,.47.8 R.4. 071 5,.056 6,.113 7,.106 8 128 9,.015 10,.117 11,.097 )
12,.174 l 13.077 14,.23 15,.153 j 16,.04
,17.3 18.217
,19.181 20.2 1 i
,21,.166
.22 258 23.171 24.91550.
,25,57735.
26,31455. 27,957.
,28,73800.
29,35000. i 30,86088. l 31.4880. ; 32.2000. l 33,3150. l 34,740. l 35.470. 36,32260. 37,37040. ; E 1.2 E G EN,3 6.1,-1 I i l
~
HOPPER AND ASSOCIATES ENGINEERS l CALCULATION SHEET TITLE: b6 Y>HW TD ( et4 (.h Cd ND- ~4 DATE: S PACE: N
SUBJECT:
N' k*@ W T k N M khlh l gy: 0% CK: k k SMT OF E,15,38 I 38,39 l l 39,40 ' 40,41 41,42 i 42,45 ! 45,44 44,43 43,19 REAL,3 E.8 2,8 3 EGEN,12,1.-1 ' REAL,2 E 47,48 EG EN,30,1,-1 E,73.78 -fi 78,79 79,80
,80,81 I TYPE 4 I '
REAL,4 E.2
- 3 9
11 ' 13 18 '
.21 23 I 27 '
REAL,5 E,5 ) 15 ) 45 REAL,6 E,7 19 31 33 35
,38 43 REAL,7 E 16 40 REAL,8 E,25
,29 REAL,9 E.36 i REAL,10 E.48 58 REAL,11 E 49 54 l 62 63 66 y -..+y 9
HOPPER AND ASSOCIATES j ENGINEERS CALCULATION SHEET TITLE: %DM TD WWd db b DATE: PACE: b
SUBJECT:
k k b M b
- lN I bYSH MIL'I BY: bk CK: LMN SHT D 0 l
68 I
,71 I REAL,12 E.51 56 r
,60 RE AL,13 i E,52 l 69 !
RE AL,14 E.73 RE AL,15 i E75 l
,76
,79 li 80 RE AL,16 b
E.84
.86
,87 o
,89 ' l j
,91
,93 I RE AL,17 E,4 '
50 . REAL,18 > E.8 55
,85 94 REAL,19 E.10 20 57 64 !
REAL,20 l E.28 30 14 } 59
,82 RE AL,21 '
E.17
,41 i 61
,92 I REAL,22 I E.24 67 i r
REAL,23 E.26 i 70 I TYPE.2 I REAL,24 E.4,104 REAL,30 E.24.124 < RE AL,31 l l
. . . ..__ .. _ . . . . _ . , I I
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: Fad a % MmM No W OATE: MM M RACE: M1
SUBJECT:
bMN UW M "I BY: N CK: SHT: I OF E 26,126 REAL,32 E,28,128 30,130 ! REAL,33 E,92,192 i REAL,34 ! E,82,282
)
REAL,37 l E,94,294 j TYPE.3 REAL,25 E 8,108 RE AL,26 E.10,110 ! REAL,27 E,14,114 REAL,28 i E.41,141 REAL,29 l E,20,120 s REAL,36 E,82,182 RE AL,35 l E.94,194 i WSTART,1 47 82 WAVES s D,104 ALL.,,124,10 [
,110, ALL,,,130,10
,108, A LL,,,128,20
,12 6, ALL..141.15 '
182. ALL..192,10 ' 194, ALL
,282, ALL i
,294, ALL i
,24,UY .,30,2,ROTX,ROTZ
,55,0Y,,,61,2,ROTX,ROTZ
,82,UY,,,88,3,ROTX,ROTZ 8,UY,,,20,6,ROTX,ROTZ 4,UY .10,6,ROTX,ROTZ {
,17,UY .,41,2 4,ROTX,ROTZ 50,UY,,,70,20,R OTX,ROTZ
,64,UY,,,67,3,ROTX,ROTZ !
9 2,UY,.,94,2,R OTX,ROTZ r
,8 2,R OTY,,,94,12 !
- 1. ALL..,47,46 37,ALL
,77, ALL,,,81,4 CP 1 UZ,8,55,85
,2,UZ,10,57,88 3,UX 4,50 4,UZ,14,59 i
,5,UZ,17.41,61 '
6,UZ,20,64 7,UZ,24,67 8,UZ,2 6,70 TOTAL,90.1 i
l HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET , i TITLE: N **b DATE: PACE: ,
SUBJECT:
MN k ~ MNN NM ^ BY: U CK: / HT: OF b MLIST ITER,1,1,1 PRDISP,-1 PRNF,-1 PRRF,-1 i PRSTR,-1 SVTYPE,2 S E D,1.0,0,0,0.0 'E-W DIRECTION FR E Q,.91,1.25. 2.0,3.03,3.33,3.8 5,4.55,5.71,6.06 I FREQ 6.67,7.14.13.3,20.0,23.3,50.0,500.0 S V,0.02,73.3,88.8,166.0,347.0,618.0.1040.0,1540.0,1540.0.1270.0 S V,0.02.1270.0,8 88.0,328.0,32 8.0.212.0. 208.0,208.0 LWRITE S E D,0.0.1.0.0.0 ' VERTICAL DIRECTION FREQ FR E Q,1.0,1.7,3.3,5.0,5.6,6.7.10.0,1 1.1.15.2 F RE Q,18.2,2 5.0,3 3.3.50.0,500.0 S V,0.02,92.6,92.6,173.7,308.8,3 47.4,347.4.13 51.0,2123.0. 2123.0 S V,0.02,1080.8,521,1,308.8.208.4,jt08.4 LWRITE ' i S ED,0.0,0.0.1.0 'N-S DIRECTION ! FREQ j F R E Q, .91,1,14,1.33,1.54,2.22,3.3 3,3.8 5,4.55,5.56 ' FREQ 5.71,5.88,6.06,9.09.13.3.16.7.20.0,33.3.500.0 i S V,0.02,77.2,8 8.8,12 4.0.124.0. 262.0,502.0,1 160.0.1580.0.1580.0 S V,0.02,13 50.0,1310.0,1040.0.425.0.270.0.270.0,212.0,18 5.0.18 5.0 LWRITE AFWRITE FINISH
/OUT.OUTN1 S 2,ANS *!
/INP 27 FINI i
-l l
I 4 l
l HOPPER AND ASSOCIATES l ENGINEERS CALCULATION SHEET , TITLE: N D
- b DATE: nib PACE: 3
$UBJECT b k
- IN % k 'I BY: b CK: Nk SHT: N OF i
C"" C"" POST-PROCESSING FILE FOR SYSTEM 4316-1 C'" STRESS.II,4,19 STRESS,13,4,20 STRESS,J1,4,21 STRESS,J3,4,22 l LCLIM,3 LCASE.1 ! S ET,1,1 t LCASE,2 S ET.1,2 LCSRSS,3,1,2 LCASE 2 , S ET,1,3 LCSRSS,3,2,3 LCASE,2 S ET,1,4 LCSRSS,3,2,3 LCASE.2 ! S ET,1,5 LCSRSS,3,2,3 LCASE.2 SET,1,6 LCSRSS,3,2,3 LCASE.2 S ET,1,7 LCS RSS,3,2,3 LCASE.2 .; SET,1,8 - LCSRSS,3,2,3 LCASE,2 SET 1,9 LCSRSS,3,2,3 LCASE.2 SET,1,10 i LCS RSS,3,2,3 LCASE,2 SET,1,11 ' LCSRSS,3,2,3 LCASE,2 SET,1,12 l LCSRSS,3,2,3 LCASE.2 SET,1,13 LCSRSS,3,2,3 LC AS E.2 SET,2,18 LCSRSS,3,2,3 , LCASE.2 - SET,2,24 LCSRSS,3,2,3 LCASE 2 f SET,2,25 LCSRSS,3,2,3
- LCASE,2 S ET,3,1 LCSRSS,3,2,3 LCASE 2 S ET,3,2 LCSRSS,3,2,3
l HOPPER AND ASSOCIATES ! ENGINEERS ' CALCULATION SHEET TITLE: hN 70 W bb b IN D
- b DATE: PACE:
SUgjECT: Md b ~ NL D Y h% kM b" sy: b CK: MM SHT: OF @ LCASE 2 SET,3,3 LCSRSS,3,2,3 LCASE.2 SET,3,4 LCSRSS,3,2,3 LCASE 2. SET,3,5 LCSRSS,3,2,3 LCASE,2 S ET,3,6 LCSRSS,3,2,3 LCASE,2 SET,3,7 LCSRSS,3,2,3 LCASE,2 S ET,3,8 LCSRSS.3,2,3 LCASE,2 S ET,3,9 ,e LCSRSS,3,2,3 LCASE.2 SET,3,10 LCSRSS,3,2,3 LCASE,2 SET,3,11 LCSRSS,3,2,3 LCASE.2 SET,3,12 LCSRSS 3,2,3 LCASE.2 SET,3,13 LCSRSS,3,2,3 LCASE 2 SET,3,19 LCSRSS,3,2,3 LCASE.2 S ET,3,20 LCSRSS,3,2,3 LCASE.3 ESEL TYPE.1 , ERSEL,REAL,1 NELEM PRDISP t PREFOR PRSTRS,ll,13,J1,J3 EALL ESEL, TYPE.1 ERSEL REAL,2 NELEM PRDISP PREFOR PRSTRS,II,13,J1,J3
~ E ALL ESEL TYPE.1 ERSEL.REAL,3 NELEM PRDISP PREFOR PRSTRS.It,13,J1.J3 w
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: f+d o b r4 Nb . 'h DATE: b PACE:
SUBJECT:
d b' RY: N CK: SHT: OF.
EIGENVALUE (NATURAL FREQUENCY) SOLUTION
r MODE FREQUENCY (CYCLESmME) 1 10.7695426 2 15.1177832 3 15.3198123 4 17.0026697 5 20.9726790 6 33.2040876 7 38.4820832 8 42.7501592 9 46.3968674 10 49.8360342 11 57.4085106 12 62.5323514 ' 13 67.4258425 14 73.5391224 15 77.7194027 i 16 94.4166889 17 96.8474360 18 100.193515 19 103.959923 20 109.827858 21 117.908533 22 125.812873 23 129.000925 24 131.653735 25 131.653765 26 141.530581 27 148.659846 28 156.759910 29 159.374828 30 165.305014 31 174.021746 32 177.438660 33 179.906185 34 180.402718 35 184.503323 36 190.152778 37 192.409454 . 38 196.087267 39 196.963765 40 205.927181 41 209.731960 42 210.643335 43 220.306140 44 232.944272 ' 45 233.656787 46 240.790530 47 246.065899 48 256.029051 49 262.407669 50 271.648106 51 273.355190 52 284,101987 53 290.099916 54 301.867852 i h 4 ge- wsmw muus em4 ----- --' **
HOPPER AND AS$3CIATES l ENGINEERS ' CALCULATIDN SHEET , TITLE: IO W Nb, D DATE: PACE: !
SUBJECT:
h $4 , W GK bf 9(${Gj @$1 g y, Q(i CK: Mk SHT: OF 55 306.761172 56 309.646233 57 311.770890 58 323.230341 59 333.279760 60 334.280432 61 339.994843 62 343.111751 63 359.850875 64 362.807178 65 368.421677 66 368.749603 67 383.813871 68 384.443363 69 386.430062 70 399.224644 71 403.377980 72 408.013764 73 419.355707 74 419.907105 , 75 423.997270 ' 76 438.531399 77 440.938242 78 444.542627 79 446.685301 80 447.364878 81 473.197421 82 496.514332 83 502.596206 84 520.995600 85 529.055039 86 556.358411 87 569.244922 88 594.840871 89 . 613.332875 90 658.328138 p
HOPPER AND ASSOCIATES < ENGINEERS ' CALCULATION SH2ET , TITLE: NO b O ~ DATE: PACE:
SUBJECT:
WMd
- h W BY: YLfl~ CK: V SHT: OF kD PRINT NODAL DISPLACEMENTS
"'
- POST) NODAL DISPLACEMENT LISTING '""
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROTZ 1 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 2 3.08E-03 5.25E-17 5.68E-04 2.64 E-18 1.97E-04 0.00E + 00 3 1.43E-02 1.02 E-16 1.29 E-03 1.40E-18 3.88E-04 0.00E + 00 4 3.40E-02 0.00E + 00 2.08E-03 0.00E + 00 5.77E-04 0.00E + 00 5 3.74E-02 0.00E + 00 2.19E-03 0.00E+00 6.03E-04 0.00E + 00 6 5.21 E-02 0.00E + 00 2.64E-03 0.00E + 00 6.51 E-04 0.00E + 00 7 7.44E-02 0.00E + 00 3.34E-03 0.00E + 00 5.51 E-04 0.00E + 00 8 7.44E-02 0.00E + 00 9.98 E-03 0.00E + 00 4.39E 04 0.00E + 00 9 7.45E-02 1.04E 17 2.16E-02 0.00E + 00 1.27E-04 3.32E 19 10 7.46E-02 0.00E + 00 2.25E-02 0.00E + 00 1.29E-04 0.00E + 00 11 7.46E-02 2.07E-17 2MOE-02 0.00E + 00 1.02E-04 4.47E-19 12 7.45E-02 1.81E 17 2.49 E-02 0.00E + 00 6.90E-05 5.03E 19 13 7.45E-02 3.46E-19 2.47E-02 0.00E + 00 5.21 E-05 1.6BE-19 14 7.45E 02 0.00F + 00 2.45E-02 0.00E + 00 5.81 E-05 0.00E + 00 15 7.44E 02 8.53E-18 2.3 6E-02 2.33E-18 8.64E-05 9.51 E-19 16 7.40E-02 1.37E-18 1.52E-02 2.84E-19 1.45E-04 2.56E-19 17 7.39E-02 0.00E + 00 1.3 B E-02 0.00E + 00 1.45E-04 0.00E + 00 18 7.37E-02 1.27E-17 1.06E-02 2.20E 19 1.36E-04 5.06E-19 19 7.32E 02 4.8 6 E-18 4.56E-03 6.89E 19 1.11 E-04 3.11E 19 20 7.29 E-02 0.00E + 00 3.00E-03 0.00E + 00 5.39 E-05 0.00E + 00 21 7.25E 02 2.41 E-18 1.78E-03 1.38E 20 2.22E-04 1.44E 19 22 7.23 E-02 3.88E 18 3.54 E-03 1.89E 20 4.22E-04 1.45E-19 23 6.50E-02 3.51 E-18 3.29E 03 4.66 E-20 6.88 E-04 1.17E-19 24 1.74 E-02 0.00E + 00 2.36E-03 0.00E + 00 8.91 E-04 0.00E + 00 25 1.97E-02 4.64E 21 2.21 E-03 0.00E + 00 5.24E-04 0.00E + 00 ' 26 3.90E-02 0.00E + 00 2.06E-03 0.00E + 00 3.14E-04 0.00E + 00 27 4.79 E-02 2.51 E-17 2.10E-03 0.00E + 00 1.94E-04 0.00E + 00 28 5.05E 02 0.00E + 00 2.16E-03 0.00E + 00 1.22E-04 0.00E + 00 29 4.66E-02 2.49E 17 2.20E-03 0.00E + 00 2.07E-04 0.00E + 00 30 3.69E-02 0.00E + 00 2.25E-03 0.00E + 00 3.18E-04 0.00E + 00 l 31 2.58E-02 6.15E-04 2.29E-03 2.14E-05 3.61 E-04 9.99E-05 ' 32 1.72E-02 9.56E-04 2.17E-03 1.45E-05 3.44E-04 1.35E-04 33 8.83E-03 1.26E-03 2.03E-03 1.78E-05 2.89E-04 1.29 E-04 34 2.56E-03 1.65E-03 2.05E-03 1.40E-05 1.96E-04 7.40E-05 35 2.48E-03 1.3 6 E-04 3.05E-03 7.77E-05 i 1.16E-04 6.94E45 36 5.72E-04 5.52E-05 7.36E-04 6.90E-05 l 4.71 E-05 5.42E-05 37 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 38 7.56E-02 8.32E-17 2.19E-02 3.62E-18 1.09 E-04 7.79E 20 39 7.69E-02 1.17E-16 1.98 E-02 3.01 E-18 1.29 E-04 2.79E-18 40 7.69E-02 9.41EO 1.51 E-02 6.54E-19 1.39 E-04 1.77E-18 41 7.69E-02 0.00E Cf 1.3 B E-02 0.00E + 00 1.36E-04 0.00E + 00 42 7.69 E-02 1.22i ! 1.08E42 5.26E.19 1.31 E-04 8.17E 19 43 7.50E-02 1. 6 4 '
- 6.59E-03 9.94E.19 1.35E-04 1.78E-19 44 7.68E-02 2.43 E- 8.88E-03 8.54E-19 1.35E-04 7.20E 19 45 7.69E-02 1.63E 17 1.01 E-02 6.35E.19 1.3 2 E-04 8.36E-19 MAXIMUMS N00E 41 34 12 35 24 1
32 ) VALUE 7.69E-02 1.65E-03 2.49E-02 7.77E-05 8.91 E-04 1.3 5E-04 i
HOPPER AND ASSOCIATES ENGINEEOS CALCULATION SHEET TO d NO. 3 bb TITLE: DATE: PACE: Db
SUBJECT:
NbN b -ML Uf h M ' ' BY: CK: // SHT: OF PRINT NODAL FORCES PER ELEMENT
* *
- POSTI ELEMENT NODE FORCE LISTING
CALCULATED LOAD CASE. 3 THE FOLLOWING X,Y,Z FORCES ARE IN GLOBAL COORDINATES ELEM - 1 FX FY FZ MX MY MZ 1 216.26947 1.43E-11 1470.4765 4.36E-10 18669.612 0.00E + 00 2 216.26947 1.43E-11 1470.4765 5.83E-12 14695.943 0.00E + 00 ELEM = 2 FX FY FZ MX MY MZ 2 212.47046 1.43E 11 1470.4765 5.83 E-12 14695.943 0.00E + 00 3 212.47046 1.43E 11 1470.4765 5.39E.10 13009.673 0.00E + 00 ELEM = 3 FX FY FZ MX MY MZ 3 200.43854 2.97E 11 1470.4765 5.39 E-10 13009.673 0.00E + 00 4 200.43854 2.9 7 E-11 1470.4765 7.06E-10 16441.327 0.00E + 00 1 ELEM = 4 FX FY FZ MX MY MZ 4 542.86155 0.00E + 00 1459.7692 0.00E + 00 16441.327 0.00E + 00 5 542.86155 0.00E + 00 1459.7692 0.00E + 00 13274.374 0.00E + 00 ELEM = 5 FX FY FZ MX MY MZ 5 542.86155 0.00E + 00 1459.7692 0.00E + 00 13274.374 0.00E + 00 6 542.86155 0.00E + 00 1459.7692 0.00E + 00 3458.1881 0.00E + 00 ELEM = 6 FX FY FZ MX MY MZ 6 512.24782 0.00E + 00 1459.7692 0.00E + 00 3458.1881 0.00E + 00 7 512.24782 0.00E + 00 1459.7692 0.00E + 00 19428.849 0.00E + 00 ELEM = 7 FX FY FZ MX MY MZ 7 512.24782 0.00E + 00 1459.7692 0.00E + 00 19428.849 0.00E + 00 8 512.24782 0.00E + 00 1459.7092 0.00E + 00 29582.303 0.00E + 00 ELEM = 8 FX FY FZ MX MY MZ 8 352.43354 3.10E-12 375.13139 0.00E + 00 29582.303 7.55E-11 9 352.43354 3.10E-12 375.13139 0.00E + 00 8208.6364 1.04E-10 { i i ELEM = 9 FX FY FZ MX MY MZ 9 352.43354 1.05E 11 392.76688 0.00E 4 00 8208.6364 1.04E-10 10 ( 352.43354 1.05E.11 392.76688 0.00E + 00 3117.3662 1.68E-10 ! I ELEM = 10 FX FY FZ MX MY MZ 10 288.11055 1.11 E-11 121.69309 0.00E + 00 3117.3662 2.18 E-10 11 288.11055 1.11 E-11 121.69309 0.00E + 00 4013.1757 1.50E-10 ELEM = 11 FX FY FZ MX MY MZ 11 288.11055 4.19E 12 71.909942 0 00E + 00 4013.1757 1.50E-10 12 288.11055 4.19E 12 71.909942 0 00E + 00 4812.2074 4.92E-11 ELEM = 12 FX FY FZ MX MY MZ 12 288.11055 4.19E 12 71.909942 0.00E + 00 4812.2074 4.92E-11 13 288.11055 4.1 DE-12 71.909942 0.00E + 00 6642.2402 9.73E 11 ELEM . 13 FX FY FZ MX MY l MZ 13 288.11055 4.19 E-12 71.909942 0.00E + 00 6642.2402 9.73E-11 { 14 288.11055 4.19E 12 71.909942 0.00E + 00 6879.0767 1.14E 10
)
_ _ _ _ . - _ _ _ _ - _ _ . _ _ _ _ _ - - - - - - - - - - - - - - - - - ~ ~ ~ ~
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET YgyLg: @f 664W }0 O D H C(4. dj T4 D . 3 DATE: b PACE:
SUBJECT:
N b ~ bk% Y D BY: hO CK: M SHT. OF ELEM . 14 FX FY FZ MX MY MZ 14 384.85052 2.06E-11 104.0153 2.45E-10 6879.0767 3.15E-10 15 384.85052 2.06E-11 104.0153 2.45E-10 6722.6243 2.70E-11 ELEM = 15 FX FY FZ MX MY MZ 15 520.24651 2.60E-12 53.781901 4.1 B E-11 3989.8653 1.36E 10 16 520.24651 2.60E-12 53.781901 4.19E-11 1492.738 5.14E-11 ELEM = 16 FX FY FZ MX MY MZ 16 734.08112 2.60E-12 248.25302 4.19 E-11 1492.738 5.14E-11 17 734.08112 2.60E-12 248.25302 4.19 E-11 2369.755 7.74E 11 ELEM = 17 FX FY FZ MX MY MZ 17 734.08112 1.45E 11 60.431891 1.35E-11 2369.755 2.26E-10 18 734.08112 1.45E-11 60.431891 1.35E-11 1340.8424 1.22E 10 ELEM = 18 FX FY FZ MX MY MZ 18 734.08112 3.37E.12 34.390647 1.35E-11 1340.8424 1.22 E-10 19 734.08112 3.37E-12 34pS0647 1.35E-11 2195.6623 5.50E-11 ELEM = 19 FX FY FZ MX MY MZ 19 1008.5289 2.84E-12 115.46763 4.23E-11 6651.3493 2.03 E-11 20 1008.5289 2.84E-12 115.46763 4.23E-11 6915.1245 6.35 E-11 ELEM = 20 FX FY FZ MX MY MZ 20 1221.7687 7.09 E-13 1759.5122 7.53E 13 6915.1245 2.30E-11 21 1221.7687 7.09E 13 1759.5122 7.53 E-13 41749.265 3.84E-12 ELEM = 21 FX FY FZ MX MY MZ 21 1221.7687 7.09 E-13 1759.5122 7.53E.13 41749.265 3.84E-12 22 1221.7687 7.09 E-13 1759.5122 7.53E-13 59298.594 3.25E 12 ELEM = 22 FX FY FZ MX MY MZ 22 1221.7687 7.09E-13 1759.5122 7.53E-13 59298.594 3.25E 12 23 1221.7687 7.09E-13 1759.5122 9.97E 12 43547.128 3.25E-12 ELEM = 23 FX FY FZ MX MY MZ 23 1303.1371 4.59E 13 1759.307 9.97E-12 43547.128 3.2SE-12 24 1303.1371 4.59E-13 1759.307 1.44E-11 26862.53 3.25E 12 ELEM - 24 FX FY FZ MX MY MZ 24 196.64162 1.26 E-15 285.35197 3.03E-14 26862.53 0.00E + 00 25 196.64162 1.26 E-15 285.35197 3.03E-14 18916.666 0.00E + 00 ELEM = 25 FX FY FZ MX MY MZ 25 183.13476 1.26E 15 285.35197 3.03 E-14 18916.666 0.00E + 00 26 183.13476 1.26E 15 285.35197 3.03E 14 11441.728 0.00E + 00 ELEM = 26 FX FY FZ MX MY M; 26 152.05863 1.27E-11 366.21207 2.48 E-10 11441.728 0.00E + 00 27 152.05863 1.27E-11 366.21207 2.4 B E-10 11701.922 0.00E + 00 ELEM = 27 FX FY FZ MX MY MZ 27 110.24742 1.27E 11 366.21207 2.48 E-10 11701.922 0.00E + 00 28 110.24742 1.27E-11 366.21207 2.48E-10 11691.156 0.00E + 00
. - ~ - . . I HOPPER AND ASSOCIATES i ENGINEERS if CALCULATION SHEET TITLE: N M b*b DATE: PAGE: 5
$UBJEcT:
AfMW A - Wp y SYAtM WL i sy: It0t- cx: @sw7: h 0F)D !
'l ELEM = 28 FX FY FZ MX MY !
MZ 28 65.956082 1.26E 11 350.19352 2.46E-10 i' 11691.156 0.00E + 00 29 65.956082 1.26E-11 350.19352 2.46E-10 11206.712 0.00E + 00 ' ELEM - 29 FX FY FZ MX MY MZ 29 126.26272 1.26E-11 350.19352 2.46E-10 1 11206.712 0.00E + 00 30 126.26272 1.26E-11 350.19352 2.46E 10 7068.6497 0.00E + 00 I ELEM = 30 h FX FY FZ MX MY MZ I 30 153.00979 233.58208 342.77448 5365.2565 7068.6497 4466.3313 [ 31 153.00979 233.58208 342.77448 2491.219 3174.0507 4466.3313 i I ELEM = 31 FX FY FZ MX MY MZ 31 210.33849 230.73054 342.77448 } 2491.219 3174.0507 4466.3313 32 210.33849 230.73054 [ 342.77448 493.4279 3247.161 829.43407 I ELEM = 32 FX FY FZ MX MY i MZ j 32 210.33849 230.73054 342.77448 493.4279 3247.161 829.43407 33 210.33849 230.73054 1816.6386 } 3,42.77448 6426.3017 3422.2287 ELEM = 33 FX FY FZ MX. MY ( MZ ( 33 240.71881 227.46673 347.04897 1816.6386 6426.3017 3422.2287 34 240.71881 227.46673 347.04897 4224.8286 12311.538 3422.2287
)
ELEM = 34 FX FY FZ MX MY MZ ! 34 240.71881 225.64649 347.04897 4224.8286 12311.538 3422.2287 35 240.71881 225.64649 347.04897 4224.8286 ! 3653.9366 2502.0851 { ELEM - 35 FX FY FZ MX MY MZ 35 251.09157 225.64649 355.10311 4224.8286 i 3653.9366 2502.0851 36 251.09157 225.64649 355.10311 5746.977 3653.9366 4809.3565 ELEM = 36 FX FY FZ MX MY MZ h 36 251.09157 225.64649 355.10311 5746.977 3653.9366 4809.3565 37 251.09157 225.64649 355.10311 12487.321 [ 3653.9366 9532.9958 { ELEM = 37 FX FY FZ MX MY l 15 MZ 218.62277 2.32E-11 81.0056 2.87E-10 3475.5744 1.63E-10 38 218.62277 2.32E-11 81.0056 1.39E-10 ! 2514.7319 2.54E ! ELEM. 38 FX FY FZ MX MY i 38 144.47383 MZ i 4.92E 12 81.0056 1.39E 10 2514.7319 39 2.54E-10 144.47383 4.92E-12 81.0056 9.64E-11 2565.6545 } 2.23E 10 I t ELEM = 39 FX FY FZ MX MY MZ 39 144.47383 1.63E-11 101.14546 9.64E 11 2565.6545 2.23E-10 f 40 144.47383 1.63E-11 101,14546 9.64E-11 t 1369.9135 3.64E-10 f
\
ELEM = 40 FX FY FZ MX t MY MZ 40 144.47383 1.63E.11 101.14546 ; 9.64E-11 1369.9135 3.64E-10 41 144.47383 1.63E-11 101.14546 l 9.64E-11 2296.8345 5.27E-10 j ELEM . 41 FX FY FZ MX MY 41 MZ f 202.74522 5.22E 12 78.61377 3.23E-11 2296.8345 42 1.48E-10 202.74522 5.22E-12 78.61377 3.23 E-11 1913.8749 } 2.29E 11 t_
)
ELEM = 42 FX FY FZ MX MY MZ 42 202.74522 5.22E-12 78.408714 } 3.23E.11 1913.8749 2.29E 11 45 202.74522 5.22E 12 78.408714 j 3.23 E-11 2074.7761 3.89E-12 i f
-- - ~
I HOPPER AND ASSOCIATES ENGINEERS i' CALCULATION SHEET I TITLE: hN'Nb D bOM HD ' DATE: hId4 PACE: MfWd A - '
SUBJECT:
V"6 6F 9f@i *'*BY: W cc M k F sN r: A M D F_ % S : I ELEM = 43 FX FY FZ MX MY MZ 45 202.74522 5.22E-12 78.408714 3.23E 11 2074.7761 3.89E-12 44 202.74522 5.22E-12 78.408714 3.23E 11 2551.557 5.54E-11 ELEM = 44 FX FY FZ MX MY MZ 44 202.74522 1.55E.12 78.408714 3.23E-11 2551.557 5.54E-11 43 202.74522 1.55E-12 78.408714 2.00E-11 1274.9148 4.39E-11 ELEM - 45 FX FY FZ MX i MY MZ ~ 43 321.18598 3.86E 12 78.408714 2.00E 11 1274.9148 4.39E-11 19 321.18598 3.86E-12 78.408714 5.59E-11 4903.2254 3.57E-11 PRINT ELEMENT STRESS ITEMS PER ELEMENT
' POST) ELEMENT STRESS LISTING * ""
CALCULATED LOAD CASE = 3 i ELEM 11 13 J1 J3 1 1092.1432 1990.9912 754.03677 1689.8884 l 2 754.03677 1689.8884 715.30626 ; 1517.2778 3 715.30626 1517.2778 1178.5825 1656.9269 4 1178.0757 1654.6493 946.29127 1414.3926 5 946.29127 1414.3926 632.005 591.79247 6 632.005 591.79247 1478.3224 1827.7402 ' 7 1640.6685 1521.1742 2487.7704 2306.4132 8 2418.1388 2371.2166 690.51954 662.02412 9 690.51954 662.02412 312.2458 I 253.13764 ' 10 262.64358 284.81835 381.60865 296.55963 11 381.60865 296,55963 428.02992 377.50706 12 428,02992 377.50706 553.77415 541.27176 13 553.77415 541.27176 570.98388 561.66246 14 550.68886 596.95674 523.26133 ; 598.33553 15 359.02513 393.05003 123.0936 298.88504 16 192.10656 377.18314 266.99424 390.06627 , 17 266.99424 390.06627 269.57655 317.61014 18 269.57655 317.61014 241.07854 393.61489 19 386.58228 843.73681 370.27448 878.06394 l 20 370.16164 950.53218 2972.9065 3788.6724 21 2972.9065 3788.6724 4389.9709 5205.1066 22 4196.6583 5403.6518 2919.9375 4137.209 ' 23 2920.7082 4136.6406 1710.6239 2713.8609 24 2088.1433 2256.4868 1438.4178 1621.6292 25 1438.4178 1621.6292 829.98734 ! 1022.0047 26 846.07103 1015.9759 833.39631 1064.0413 27 833.39631 1064.0413 825.2182 , 1068.8578 28 825.31982 1067.2834 790.54314 1024.8583 ' 29 790.54314 1024 8583 474.00794 679.99282 30 876.2324 1097.5482 325.60776 554.48775 [ 31 435.06268 686.44006 179.12894 350.90183 32 179.12894 350.90183 562.183 l 846.97731 33 543.86139 784.77329 1213.9837 } 1456.6595 34 1191.3174 1353.0818 j 409.77868 571.38057 i 35 462.32209 620.61256 736.15873 889.99604 36 736.15873 889.99604 1648,155 1803.5534 37 323.62789 254.86381 238.01614 194.48941 38 222.07421 200.85957 215.82726 215.54755 39 213.94053 214.61381 124.9064 121.38261 '
-n -
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE:
- DATE: PACE:
SUBJECT:
MI A~ W U#\ W^ BY: CK: W: OF W i I 40 124.9064 121.38261 193.95632 192.69068 l j 41 188.97721 211.35373 131.80884 204.78662 42 131.80884 i 204.78662 151.65498 211.41973 1 43 151.65498 211.41973 186.96968 248.11958 44 ) 191.73888 242.90103 124.08982 128.5751 45 141.22164 148.82686 348.40656 462.19932 MINIMUMS ELEMENT 40 40 15 39 VALUE 124.9064 121.38261 123.0936 121.38261 ' MAXIMUMS ELEMENT 22 22 21 21 VALUE 4196.6583 5403.6518 4389.9709 5205.1066 l 178 ELEMENTS (OF 178 DEFINED) SELECTED BY EALL COMMAND. ESEL FOR LABEL = TYPE FROM 1 TO 1 BY 1 ' 91 ELEMENTS (OF 178 DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL = REAL FROM 2TO 2 BY 1 34 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND. i 35 NODES (OF 108 DEFINED) SELECTED FROM 34 SELECTED ELEMENTS BY NELE COMMAND. PRINT NODAL DISPLACEMENTS
POST) NOD AL DISPLACEMENT LISTING * * * *
- CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y Z DISPLACEMENTS ARE IN GLOBAL COORDINATES v
NODE UX UY UZ ROTX ROTY ROTZ 47 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 i 0.00E + 00 0.00E + 00 48 1.29E43 4.66E.18 6.14E-04 2.54E 19 1.02 E-04 0.00E + 00 49 8.07E-03 9.77E-18 1.36 E-03 6.89E-20 3.16E-04 0.00E + 00 50 3.40E-02 0.00E + 00 2.41 E-03 0.00E + 00 8.10E-04 0.00E + 00 51 5.62E-02 2.25E-18 2.94E-03 1.42 E-19 1.01 E-03 8.26E-20 52 0.10539611 9.21 E-18 4.04E-03 1.27E-19 8.20E-04 2.55E-19 ' 53 0.1164374 1.10E 17 4.38 E-03 1.07E-19 5.94 E-04 3.08E-19 54 0.11673957 5.98E-18 3.13E-03 l 6.63 E-20 3.76E-04 3.43 E-19 ~ 55 0.11714903 0.00E + 00 9.98 E-03 0.00E + 00 2.17E-04 0.00E + 00 56 0.1177387 4.15E.17 1.66E-02 0.00E + 00 1.71 E-04 4.32E 19 57 0.11836011 0.00E + 00 2.25E-02 0.00E + 00 1.29 E-04 0.00E + 00 58 0.11881325 7.95E.18 2.50E-02 0.00E + 00 9.65E 05 1.45E-19 59 0.11939512 0.00E + 00 2.45E-02 0.00E + 00 7.90E-05 0.00E + 00 60 0.11961453 0.00E + 00 2.26E 02 0.00E + 00 { 1.08E-04 0.00E 4 00 61 0.12003643 0.00E + 00 1.38E-02 0.00E + 00 1.18E-04 0.00E + 00 62 0.12009423 4.40E-18 1.30E-02 0.00E + 00 1.10E-04 7.95E 19 63 0.12012651 2.78E.17 1.15E-02 0.00E + 00 9.54E-05 5.39E 19 64 0.1202092 0.00E + 00 3.00E-03 ; 0.00E + 00 2.87E-04 0.00E + 00 65 0.12022342 0.00E + 00 2.08E-03 0.00E + 00 3.4 9 E-04 0.00E + 00 66 0.11431775 0.00E + 00 2.17 E-03 0.00E + 00 4.25E-04 0.00E + 00 t J - en 'ea- m e - # Tss- .
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE:
- b DATE: PACE:
SUBJECT:
k~b T BY: NN CK:_ SHT: OF NGE UX UY UZ 67 ROTX ROTY ROTZ 0.10068819 0.00E + 00 2.36E-03 68 0.00E + 00 5.53E-04 0.00E + 00 0.81972627 0.10603208 2.26E-03 2.68E 24 6.54E-04 69 0.00E + 00 0.41589777 0.38927616 2.08E-03 1.25E-24 6.79E-04 70 0.00E + 00 0.37558566 0.00000000 2.06E-03 0.00E 4 00 6.68E-04 71 1.51E-02 0.00E + 00 6.16E-05 1.81 E-03 5.76E-06 72 5.31 E-04 8.83 E-05 7.67E-03 1.60E-04 1.71 E-03 2.44E-05 4.37E-04 1.2SE-04 73 3.96E-03 9.31E-05 8.49E-04 2.22E-05 1.12E-04 74 1.68 E-03 1.28E-04 1.85E-04 5.64E-04 1.13E-05 75 7.77E-05 7.26E-05 3.67E-04 2.23E-04 3.33E-04 1.33 E. 05 5.65E-05 3.10E-05 76 8.25E-05 1.13E 04 1.21 E-04 1.37E-05 2.87E-05 77 0.00E + C0 1.16E-05 0.00E + 00 0.00E + 00 0.00E + 00 78 0.00E + 00 0.00E + 00 3.24E-03 5.17E-05 5.66E-04 1.48 E-05 4.82E-05 1.37E-04 79 2.03 E-03 1.53E-04 3.26E-04 1.49E-05 1.65E-05 80 6.11 E-04 1.15 E-04 7.77E-05 1.11 E-04 1.30E-05 8.37E-06 81 0.00E + 00 7.56E-05 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 MAXIMUMS NODE 65 75 58 72 51 78 VALUE 0.12022342 2.23 E-04 2.50E-02 2.44E-05 1.01 E-03 1.37 E-04 PRINT NODAL FORCES PER ELEMENT
* * * *
- POST) ELEMENT NODE FORCE LISTING * * * *
- CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y Z FORCES ARE IN GLOBAL COORDINATES ELEM = 58 FX FY FZ MX MY MZ 47 629.56469 3.77E-12 2309.6973 1.10E-10 16879.184 48 629.56469 0.00E + 00 3.77E 12 2309.6973 4.32E-12 30407.428 0.00E + 00 ELEM = B9 FX FY FZ MX MY MZ 48 629.56469 3.77E-12 2309.6973 4.32 E-12 30407.428 49 629.56469 3.77E-12 0.00E + 00 2309.6973 1.24E-10 50367.703 0.00E + 00 ELEM = 60 FX FY FZ MX MY MZ 49 641.91086 5.54E 12 2309.6973 1.24 E-10 50367.703 50 641.91086 5.54E-12 0.00E + 00 2309.6973 1.42E-10 80551.632 0.00E + 00 ELEM = 61 FX FY FZ 50 MX MY MZ 2222.1859 3.04E-12 2309.6973 51 7.32E-11 80551.632 1.27E 11 2222.1859 3.04E-12 2309.6973 8.98E-12 27446.831 1.27E 11 ELEM = 62 FX FY FZ
$1 MX MY MZ 2065.0846 2.46E-13 2311.0231 52 8.98E 12 27446.831 1.27E-11 2065.0846 2.46E-13 2311.0231 6.72E-12 76189.194 1.27E-11 ELEM = 63 FX FY FZ 52 MX MY MZ 2065.0846 2.46E 13 2311.0231 53 6.72E 12 76189.1514 1.27E-11 2065.0846 2.46 E-13 2311.0231 9.78E-12 108168.19 1.27E-11 ELEM = 64 FX FY FZ MX MY MZ 53 2065.0846 2.46E 13 2311.0231 9.78E-12 108168.19 54 2065.0846 2.46E-13 1.27E-11 2311.0231 9.78E 12 72658.084 1.58E 11
I HOPPER AND ASSOCIATES i ENGINEERS ' CALCULATION SHEET ! TITLE: N b*h DATE: PACE:
SUBJECT:
BY: CK: SHT:kNO F bD ELEM = 65 FX FY FZ MX MY MZ 54 1736.4185 8.16E 12 2311.0231 9.78E-12 72658.084 1.58E-11 55 1736.4185 8.16E 12 2311.0231 9.78E-12 18168.012 1.88E-10 ELEM = 66 FX FY FZ MX MY MZ 55 1736.4185 5.45E-11 214.62364 0.00E + 00 18168.012 1.06E-09 56 1736.4185 5.45E-11 214.62364 0.00E + 00 13837.604 9.05E-10 ELEM . 67 FX FY FZ MX MY MZ 56 1374.6217 3.54E 11 176.55714 0.00E + 00 13837.604 9.05E-10 57 1374.6217 3.54E.11 176.55714 0.00E + 00 10981.939 7.92E-10 ELEM = 68 FX FY FZ MX MY MZ 57 1374.6217 9.52E 12 205.35757 0.00E + 00 10981.939 1.93E 10 58 1374.6217 9.52E-12 205.35757 ' O.00E + 00 12443.691 1.41 E-10 ELEM . 69 FX FY FZ MX MY MZ 58 1016.6993 4.12E-12 146.06903 0.00E + 00 12443.691 1.41 E-10 59 1016.6993 4.12E-12 0.00E + 00 15378.435 1.11E 10 f 46.06903 ELEM = 70 FX FY FZ MX MY MZ 59 1016.6993 0.00E + 00 172.17721 0.00E + 00 15378.435 0.00E + 00 60 1016.6993 0.00E + 00 172.17721 0.00E + 00 12547.927 0.00E + 00 1 ELEM = 71 FX FY FZ MX MY MZ , 60 625.39598 0.00E + 00 281.62736 0.00E + 00 12547.927 0.00E + 00 6 61 625.39598 0.00E + 00 281.62736 0.00E + 00 11767.573 0.00E + 00 j ELEM . 72 FX FY FZ MX MY MZ 61 625.39598 3.23E-11 573.62576 0.00E + 00 11767.573 6.62E-10 62 625.39598 3.23E-11 573.62576 0.00E + 00 6711.8478 3.39E-10 ELEM = 73 FX FY FZ MX MY MZ 62 195.90735 3.23 E-11 573.62576 0.00E + 00 6711.8478 3.39E-10 63 195.90735 3.23E 11 573.62576 0.00E + 00 9969.8264 4.68E-10 ! t ELEM = 74 FX FY FZ MX MY MZ 63 195.90735 1.30E-11 526.41769 0.00E + 00 9969.8264 4.68E-10 i 64 195.90735 1. JOE-11 526.41769 0.00E + 00 43003.53 3.62 E-10 ELEM = 75 FX FY FZ MX MY MZ 64 195.90735 0.00E + 00 1187.2699 0.00E + 00 43003.53 0.00E + 00 65 195.90735 0.00E + 00 1187.2699 0.00E + 00 31116.58 0.00E + 00 i ELEM = 76 FX FY FZ MX MY MZ 65 195.90735 0.00E + 00 1187.2699 0.00E + 00 31116.58 0.00E + 00 ' 66 195.90735 0.00E + 00 1187.2699 0.00E + 00 32948.457 0.00E + 00 ELEM = 77 FX FY FZ MX MY MZ i 66 279.69183 0.00E + 00 1187.2699 0.00E + 00 32948.457 0.00E + 00 67 279.69183 0.00E + 00 1187.2699 l 0.00E + 00 26155.169 0.00E + 00 ELEM . 78 FX FY FZ MX MY MZ 67 325.47805 1.63E 16 386.50286 3.08E-15 26155.169 0.00E + 00 68 325.47805 1.63E-16 386.50286 1.99 E-15 16811.997 0.00E + 00
)
l
HOPPER AND ASSOCIATES ENGINEEGS CALCULATION SHEET TITLE: h8 M MN Nb DATE:
^
PACE: AN Y ^
SUBJECT:
BY: Hh cx: nf SwT:M oF MY ELEM = 79 FX FY FZ MX MY MZ 68 452.36641 5.31 E-17 386.50286 1.99 E-15 16811.997 0.00E + 00 69 l 452.36641 5.31 E.17 386.50286 1.15E 15 12203.618 0.00E + 00 ELEM = 80 FX FY FZ MX MY MZ 69 452.36641 5.31E 17 386.50286 1.15E-15 12203.618 0.00E + 00 70 452.36641 5.31 E.17 386.50286 1.47E-15 14667.582 0.00E + 00 ELEM = 81 FX FY FZ MX MY MZ I 70 590.58757 250.6938 714.78632 3657.9701 14667.582 8799.4431 71 590.58757 250.6938 714.78632 5617.7004 33890.789 8799.4431 l ELEM = 82 FX FY FZ MX MY MZ 71 590.58757 250.6938 714.78632 5617.7004 33890.789 8759.4431 72 590.58757 250.6938 714.78632 9503.4542 42701.935 8799.4431 ELEM . 83 FX FY FZ MX MY MZ l 72 590.58757 250.6938 714.78632 9503.4542 42701.935 8799.4431 73 590.58757 250.6938 7,1,4.78632 10510.563 42701.935 7737.0088
)
{ ELEM = 84 FX FY FZ MX MY MZ 73 421.91177 796.17077 401.69154 6376.2823 17044.265 21605.378 74 421.91177 796.17077 401.69154 1642.5316 12021.977 16691.26 ELEM = 85 FX FY FZ MX MY MZ 74 421.91177 796.17077 401.69154 1642.5316 12021.977 16691.26 75 421.91177 796.17077 401.69154 3091.2192 7058.0178 11902.549 ELEM . 86 FX FY FZ MX MY MZ 75 421.91177 796.17077 401.69154 3091.2192 7058.0178 11902.549 76 421.91177 796.17077 401.69154 2733.3082 7058.0178 6679.5827 ELEM = 87 FX FY FZ MX MY MZ 76 421.91177 796.17077 401.69154 2733.3082 7058.0178 6679.5827 77 421.91177 796.17077 401.69154 8758.6813 7058.0178 4794.3204 ELEM = 88 FX FY FZ MX MY MZ 73 991.52639 545.47697 313.09478 4134.2806 25714.614 14108.016 78 991.52639 545.47697 313.09478 1345.6943 13826.228 2843.3456 ELEM = 89 FX FY FZ MX MY MZ 78 991.52639 545.47697 313.09478 1345.6943 13826.228 2843.3456 79 991.52639 545.47697 313.09478 1442.8919 2056.1255 10013.641 ELEM = 90 FX FY FZ MX MY MZ 79 991.52639 545.47697 313.09478 1442.8919 2056.1255 10013.641 80 991.52639 545.47697 313.09478 3096.9824 2056.1255 24278.239 ! ELEM . 91 FX FY FZ MX MY MZ 80 991.52639 545.47697 313.09478 3096.9824 2056.1255 24278.239 81 991.52639 545.47697 313.09478 7793.4042 2056.1255 39121.516
)
I
1 i HOPPER AND ASSOCIATES ENGINEERS l CALCULATION SHEET , i TITLE: h14fvtt'yt ~{D Cora c.rcetJ No. 2, ,,7,; Vn%4 pace: bk1 i
SUBJECT:
M . Of %M Dbl gy; h@ b CK: / HT: OF PRINT ELEMENT STRESS ITEMS PER ELEMENT
* * * *
- POST) ELEMENT STRESS LISTING * * * *
- i CALCULATED LOAD CASE = 3 ELEM 11 13 J1 J3 58 1296.7009 470.5046 1947.4484 751.40511 59 1947.4484 751.40511 2821.3711 1607.147 60 2821.3711 1607.147 4132.9243 2936.5516-61 4132.9243 2936.5516 1803.6529 668.45999 62 1804.443 667.0215 3947.6369 2738.2589 63 3947.6369 2738.2589 5347.2278 4136.2512 64 5287.0981 4193.4065 3733.1125 2639.2914 !
65 3644.6579 2725.5859 1212.1671 504.67662 66 1212.1671 504.67662 1058.5325 267.9545 67 962.15769 309.361 818.76033 281.33938 68 818.76033 281.3a38 836.31714 425.99551 69 752.91627 429.07502 796.00596 656.22605 70 796.00596 656.22605 639.94915 592.83051 71 592.6881 558.72703 671.26586 374.24182 72 671.26586 374.24182 436.55131 204.0262 73 325.23839 269.97131 472.49687 404.88317 74 472.49687 404.88317 1918.9168 1849.0027 75 1918.9168 1849.0027 1398.0716 1328.9378 76 1660.0844 1083.0171 1742.0854 1159,4038 77 1742.0854 1159.4038 1442.791 870.03813 78 1050.6289 1242.3821 640.32776 834.90841 79 640.32776 834.90841 437.43739 634.59888 80 437.43739 634.59888 543.0699 743.75336 81 645.83851 933.52859 1544.2393 1768.7146 82 1544.2393 1768.7146 2056.5387 2292.5577 83 717.61051 807.17411 716.60751 805.44821 84 1269.2454 1547.165 820.01742 1095.6493 l 85 820.01742 1095.6493 572.30174 864.66839 86 516.49834 795.52768 299.82843 577.68101 87 299.82843 577.68101 465.03232 '723.49678 88 1464.3409 1266.8882 649.03029 462.31836 89 649.03029 462.31836 446.88201 234.93583 90 601.78213 406.96351 1270.0689 1079.4544 91 1270.0689 1079.4544 2076.9924 1886.8995 MINIMUMS ELEMENT 87 73 86 72 VALUE 299.82843 269.97131 299.82843 204.0262 l MAXIMUMS ELEMENT 64 64 63 63 E VALUE 5287.0981 4193.4065 5347.2278 ; 4136.2512 ) 178 E'LEMENTS (OF 178 DEFINED) SELECTED BY EALL COMMAND. i ESEL FOR LABEL = TYPE FROM 1 TO 1 BY 1 91 ELEMENTS (OF 178 DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL = REAL FROM 3 TO 3 BY 1 1 12 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND.
-A
.* s
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: MN TO W WN b DATE: 'b PACE:
SUBJECT:
Nb'NNk BY: hb CK: / HT: OF M 13 NODES (OF 108 DEFINED) SELECTED FROM 12 SELECTED ELEMENTS BY NELE COMMAND. j PRINT NODAL DISPLACEMENTS t
"'
- POST) NODAL D!SPLACEMENT LISTING * *
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y.Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROTZ 82 3.67E-02 0.00E + 00 2.00E-03 0.00E + 00 0.00E + 00 0.00E + 00 83 3.67E-02 1.29 E-04 2.30E-03 0.00E + 00 4.37E-Ob 8.51 E-06 84 3.66E-02 3.04E-04 3.31 E-03 0.00E + 00 7.51 E-05 3.06E-06 85 3.65E-02 0.00E + 00 9.98 E-03 0.00E + 00 1.65E-04 0.00E + 00 86 3.64E-02 2.11 E-18 1.08E-02 0.00E + 00 1.76 E-04 6.67E 19 87 3.62E-02 4.17E-17 1.73E 02 0.00E + 00 1.71 E-04 3.60E-19 88 3.60E-02 0.00E + 00 2.25E-02 0.00E + 00 2.78E-04 0.00E + 00 89 3.60E-02 0.00E + 00 2;34E-02 0.00E + 00 3.23E-04 0.00E + 00 ' 90 3.60E-02 0.00E + 00 2.42E-02 0.00E + 00 3.62 E-04 0.00E + 00 91 3.37E-02 0.00E + 00 2.42E-02 0.00E + 00 4.04E-04 0.00E + 00 92 3.17E-02 0.00E + 00 2.42E-02 0.00E + 00 4.31 E-04 0.00E + 00 93 2.18 E-02 0.00E + 00 2.42E-02 0.0CE + 00 4.51 E-04 0.00E + 00 94 1.01 E-02 0.00E + 00 2.43 E-02 0.00E + 00 0.00E + 00 0.00E + 00 MAXIMUMS NODE 82 84 94 0 93 83 ! VALUE 3.67E-02 3.04E-04 2.43 E-02 0.00E + 00 4.51 E-04 8.51 E-06 PRINT NODAL FORCES PER ELEMENT
" POST 1 ELEMENT NODE FORCE LISTING "'*
CALCULATED LOAD CASE = 3 p THE FOLLOWING X,Y,2 FORCES ARE IN GLOBAL COORDINATES ELEM = 46 FX FY FZ MX MY MZ ; 82 99.701062 21.29023 36.758819 0.00E + 00 1979.9643 578.5136 F 83 99.701062 21.29023 36.758819 0.00E + 00 1403.5346 67.548092 i ELEM = 47 FX FY FZ MX MY - MZ 83 99.701062 21.29023 36.758819 0.00E + 00 1403.5346 67.548092 84 99.701062 21.29023 36.758819 0.00E + 00 1262.3504 464.70765 , ELEM = 48 FX FY FZ MX MY MZ 84 99.701062 11.685274 31.848594 0.00E + 00 1262.3504 464.70765 85 99.701062 11.685274 31.848594 0.00E + 00 2547.6206 388.31735 ELEM = 49 FX FY FZ MX MY MZ 85 l 306.99284 5.28E-12 133.70524 0.00E + 00 2547.6206 1.17E 10 86 306.99284 5.28 E-12 133.70524 0.00E + 00 1859.3944 8.54E-11 ELEM = 50 FX FY FZ MX MY MZ 86 306.99284 5.28E-12 { 133.70524 0.00E + 00 1859.3944 8.54E-11 87 306.99284 5.28E-12 133.70524 0.00E + 00 4144.9785 1.31 E-10 l l
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: 9%48Q TD (E*4 L@d T46 . S DATE: S PACE: b SU8 JECT:NWM
- Wb k g
BY: hN CK:
. .N. BHT: M OF %
ELEM = $1 FX FY FZ MX MY MZ 87 306.99284 7.56E-12 121.93856 0.00E + 00 4144.9785 1.31 E.10 88 306.99284 7.56E-12 121.93856 0.00E + 00 8585.1278 1.49E-10 ELEM = 52 FX FY FZ MX MY MZ 88 306.99284 0.00E + 00 129.56199 0.00E + 00 8585.1278 0.00E + 00 89 306.99284 0.00E + 00 129.56199 0.00E + 00 8565.307 0.00E + 00 ELEM = 53 FX FY FZ MX MY MZ 89 306.99284 0.00E + 00 129.56199 0.00E + 00 8565.307 0.00E + 00 90 306.99284 0.00E + 00 129.56199 0.00E + 00 8602.584 0.00E + 00 ELEM = 54 FX FY FZ MX MY MZ 90 306.99284 0.00E + 00 129.56199 0.00E + 00 8602.584 0.00E + 00 91 306.99284 0.00E + 00 129.56199 0.00E + 00 6836.2517 0.00E + 00 ELEM = 55 FX FY FZ MX MY MZ 91 306.99284 0.00E + 00 129.56199 0.00E + 00 6836.2517 0.00E + 00 92 306.99284 0.00E + 00 129.56199 0.00E + 00 5403.0266 0.00E + 00 o ELEM = 56 FX FY FZ MX MY MZ 92 340.20387 0.00E + 00 129.56199 0.00E + 00 5403.0266 0.00E + 00 93 340.20387 0.00E + 00 129.56199 0.00E + 00 3086.1205 0.00E + 00 ELEM = 57 FX FY FZ MX MY MZ 93 344.17875 0.00E + 00 129.56199 0.00E + 00 3086.1205 0.00E + 00 94 344.17875 0.00E + 00 129.56199 0.00E + 00 16928.908 0.00E + 00 PRINT ELEMENT STRESS ITEMS PER ELEMENT
* * *" POST 1 ELEMENT STRESS USTING "*"
CALCULATED LOAD CASE = 3 ELEM 11 13 J1 J3 46 346.70996 319.7032 235.97817 223.42838 47 235.97817 223.42838 225.25615
- 217.00381 48 225.25615 217.00381 436.97264 - 389.21583 49 506.51011 352.49813 382.54184 284.00442 50 382.54184 284.00442 810.40529 515.93222 51 810.40529 515.93222 1511.4992 1226.6769 52 1511.4992 1226.6769 1503.7644 1229.1542 53 1503.7644 1229.1542 1505.2862 1240.4413 54 1340.7746 1401.5847 1058.373 1122.0699 55 1058.373 1122.0699 828.84399 895.90196 56 828.84399 895.90196 472.56883 518.52637 57 472.56883 518.52637 2676.357 2716.5718 MINIMUMS ELEMENT 48 48 47 47 VALUE 225.25615 217.00381 225.25615 217.00381 MAXIMUMS ELEMENT 52 54 57 57 VALUE 1511.4992 1401.5847 2676.357 2716.5718
* * * *
- ENO OF INPUT ENCOUNTERED ON FILE 38. FILE 38 REWOUND
*
- INPUT FILE SWITCHED FROM FILE 38 TO FILE 5
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: TD MMN b,D DATE: bb PACE: b { SUBJECT. M b
- b% Y D I BY: hb CK: ,
SHT: OF D
/ PREP 7
/OUT,0UTNID2 DBE
/ TITLE,DBE FOR HVAC SYSTEM 43161 C '** ;
C'"RE-ANALYZE SYSTEM 4316-1 BASED ON BARE SHEET METAL THICKNESS C*USE DESIGN BASIC EARTHQUAKE WITH 1% DAMPlNG C"'D ATE: 4-25-94 l C'"* l, KAN,2 i KAY,2,90 t ET.1.4
.2,14 ,1 1
.3.14,3 1 l
4.21.,,2 EX,1,29.E6 , NUXY,1,0.29 DENS,1,0.00125 N,1,19 6...-26.
,2,19 6..,4.
3.196.,,42. 4.196..84.
,5,19 6.,,90. [
6,196.,,114. 7.196 151,
,8,182..151.
,3,124..151,
,10,98..151, *
,11,65..151,
,12.41.,,151, 13.6.0,,151. 1 '
14,2.,,151, 15,-12 ,151. i
,16,-8 4.,,151, [
,17.-94..151,
,18.-118..151.
,19,-169..151.
,20,-193..151, '
,21 <2 20.,,151.
.22-230.,,151.
23.-230.,,164.
,24,-230.,,217, r 25,-230.,,265.
26.-230.,,313,
.27.-230.,,352.
28,-230.,,391. ,
- 29. 230.,,430. 4
,30,-230.,,469.
31,230 502. ! 32,-230.c18.5.520.5 j 33.-230 -37.,539. 34,230 -37 565.
,35,204 37.,565.
36.-204 -65.,565. i 37.-204 -84.,555. { 38 -30.,,133. 39.-48..115.. 40,-84..115. 41,94..115. 42,118 115. I l _ l
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: -IN
- HW TD (DN CEM @.$ DATE*Arau'~'ch 58 ACE- A hO
SUBJECT:
b b' N T h% M'!gy. Y) . CK: / T SHT: OF 43.-151.,,133. 44,133..115.
. 45,-123..115.
. 47,222.5,-2.5,-26.
, 48,222.5,-2.5,2.
. 49.222.5, 2.5.36.
. 50,222.5,-2.5,84.
, 51,222.5,-2.5.108.
. 52,222.5, 2.5,158.
7
^
. 53,222.5,-2.5.173.5
. 54,207 -2.5.173.5 7
. 55,182..-2.5.173.5
. 56,146.,-2.5,173.5
. 57,98..-2.5,173.5
. 58,63.0, 2.5.173.5 59,2..-2.5.173.5
. 60,-21..-2.5,173.5 .
. 61,-94..2.5.173.5
. 62-104..-2.5.173.5
. 63.-129..-2.5.173.5 l ;
. 64,-193..-2.5.173.5
. 65,-204..-2.5,173.5
, 66,-204..2.5,189.
, 67 -204. 2.5,217,
. 68,-204..2.5,248.
. 69.-204.,-2.5,307.
. 70,-204., 2.5,313.
, 71.-204 -2.5,350.
. 72.-204..-2.5.365.5
. 73.-204..30.5,365.5
. 74,-204..-42.5,377.5
. 75,-204..-54.5,389.5
. 76,-204..-69.,389.5
. 77, 204..-84.,389.5
. 78,-204..-42.5,353.5
, 79-204 -54.5,341.5 l
, 80, 204..-69.,341.5
. 81,-204..-84.,341.5
. 82,304.15.195.
. 83,280.15.195.
. 84,255.15.,195.
. 85,182.15.195.
, 86,176.15.195.
. 87,135 15.195. ,
, 88,98.15 195. >
, 89,92.,15.195.
. 90.87 15 195.
. 91,87 15.189.
. 92.87.,15.,184
. 93,87 15 162.
. 94,87.15.,120.
. 104,184..84
. 108.182 139.
. 110,98 139.
. 114,2 139.
. 141,-94 103,
, 120,-193.,,139.
. 124,242..,217.
. 126.242.,,313.
"q't L' M
HOPPER AND ASSOCIATES ENGINEERS i CALCULATION SHEET , TITLE: (:f7fot4W {D (pti(,MN N t> , 27 DATE: b PACE:
SUBJECT:
NN b~ Y ~sy: k1 CK: SHT: OF bh
,128.242..,391. ,
130,-242.,,469. 182,304.,15.207.
,192,75.15.184.
194,87 15 132. 282,31 A 15.,195.
, ** ',99.,15 120.
, i C"" MATERIAL PROPERTIES FOR GALVANIZED SHEET METAL:
C ' ' R,1,2.89,94.4,94.4.14.,14. C ' "RMORE,,141.6 C " '
- R,2,3.9 2,23 5.9,23 5.9,19.19.
CRMORE ,353.9 C'"R,3,2.06.34.4,34.4.10 10. C" * *RMORE ,51.6 R,1,2. 68,8 6.6,8 6.6,14.0.14.0
- RMORE,,131.2 R,2,3.63,216.9,216.9.19.0.19.0 RMORE ,327.9 R,3,1.91,31.4,31.4.10.0,10.0 RMORE,,47.8 '
R,4 071 5,.056 h ' 6,.113 7.106 8.128 9,.015
,13,.117 11,.097 12,.174 13,.077 14,.23 ..
15 153 16,.04 17,.3 18,.217 19,.181 20 2 21,,166
,22,.258
,23,.171 24,91550.
25,57735. 26,31455. >
,27,957,
,28,73800.
29,35000. 30,86088. 31,4880. 32,2000.
,33,3150.
,34,740. t 35,470.
36,32260. t 37,37040. E,1,2 EG EN,36,1.1 E 15,38 38,39 39,40 I 1 1 l
l l HOPPER AND ASSOCIATES ENGINEERS ' CALCULATION SHEET i TirLE: @.4fodMc TD (At4 Cfct d ND. '4 ogre M4tL ,9 ft PACE:
SUBJECT:
A & Qd b - M Q q @ % % W L 1 ,y hpg gg gp sHT:b@OF_ 40,41 ; 41,42 42,45 45,44 44,43 43,19 REAL,3 E.82,83 EGEN,12,1.-1 REAL,2 E,47.48 EGEN,30,1.-1 E.73,78 78,79 79,80 80,81 TYPE.4 REAL,4 ' E,2
,3 s
,9
,11 13 18
.21
,23 27 REAL,5 E,5 15 45 REAL,6 i E,7 '
19
,31 33
,35 38 43 REAL,7 E,16 40 REAL,8 l E,25 29 REAL,9 E,36 RE AL,10 i
E.48 '
,58 RE AL,11 E,49 54 62 63 66 68 71 REAL,12 !
I HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: *NW [0 (ot4C(W T4 b , 3 DATE: PACE: bb
SUBJECT:
NN b~MkN *f %M bNbeI gy; h &t- CK: ,M[ SHT:_N OF bD E,51 ,
,56 i 60 REAL,13 E,52 ;
69 t REAL,14 ! E.73 , REAL,15 l E.75 76
,79
,80 REAL,16 E 84 ;
36
,87 >
,B9 ,
91 , 93 / , RE AL,17 E4 , 50 RE AL,18 ; E.8 i
,55 f
,85
,94 REAL,19 E 10 l
,20 57 64 REAL,20 ,
E,28 l
,30 I 14 59 82 RE AL,21 E,17 ]
41 'l 61 l 92 i REAL,22 E,24 67 REAL,23 E.26 70 TYPE.2 REAL,24 E.4.104 REAL,30 E.24.124 RE AL,31 E.26.126 REAL,32 E.28,128 l 1 l
k HOPPER AND ASSOCIATES ' ENGINEERS CALCULATION SHEET ! TITLE: *b TD N'b DATE: Whb PACE: SUBJECT. NN MT M% lbef gy; Ng CK: SHT.kNOF_bh
,30,130 '
REAL,33 E.92,192 REAL,34 E.82,282 . REAL,37 E,94,294 ' TYPE,3 REAL25 E.8.108 REAL,26 , E,10,110 REAL,27 ' E.14,114 REAL,28 E,41,141 REAL,29 r E 20.120 , REAL,36 E,82,182
- l'EAL,35 E,V4,194 WFTART.1 #
A1 82 i WAVES D,104, ALL,,,124.10
,110, ALL..130,10 108, ALL..128,20
,126, ALL.,,141,15 *!
182, ALL,.192,10
,194, ALL
. 282.ALL '
,294,ALL i 24,UY,.,30,2,R OTX,R OTZ 55,UY.. 61,2,ROTX,ROTZ
,f 8 2,UY .,88,3,ROTX,ROTZ '
,8,UY,,,20,6,ROTX,ROTZ (
4,UY .10,6,ROTX,ROTZ
,17,UY,,,41,24,ROTX,ROTZ 50,UY .,70.20,ROTX,ROTZ 64,UY,,,67,3,ROTX,ROTZ 92,UY,,,94,2,ROTX,ROTZ ,
8 2,R OTY,.,94.12 ' 1,ALL . 47,46 37,ALL B 77,ALL,,,81,4 CP,1,UZ,8,55,85
,2,UZ,10,57,88 3,UX 4,50 4,UZ,14,59
- 5,UZ 17.41,61 6,UZ,20,64 7,UZ,24,67
,8,UZ,26,70 1
TOTAL,90,1 MLIST ITER.1.1.1 PRDISP,-1 g- - .-w ---g,- -- -g
HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE: M LMN ti,0 , b' DATE: N 4 PACE: b $UBJECT: NN k" N N %k US-I sy: bb CK: 5HT: OF I PRNF,-1 PRRF,-1
)
PRSTR,-1 SVTYPE,2 S ED,1.0.0.0.0.0 *E-W DIRECTION FR E Q,1.0.1.2 5,1.7,2.5,3.3.3.8,4.4.5.9,6.7 FR E Q,7.5,8.7,10.0.1 1.1.16.7,20.0,25.0,500.0 S V,0.01,77.2.104.2.166.0.270.2,463.2,675.5.13 51.0,1351.0,733.4 ' S V,0.01,540.4,38 6.0. 2 89.5,28 9.5. 289.5,185.3.142.8.142.8 > LWRITE SED,0.0,1.0.0.0 ' VERTICAL DIRECTION FREQ l FRE Q,1.67,2.5,3.3,4.0,5.0,5.5,6.67,8.3,9.1 FR E Q,10.0,10.5.10.9.14.7.16.7.20.0,25.0.50.0,500.0 S V,0.01,40.5,61.8,84.9.108.1,146.7,169.8,169. 8,3 66.7,501.8 r S V,0,01,772.0,1042.2.138 9. 6.13 8 9.6,849.2.463.2,270.2.100.4,100.4 LWRITE S ED,0.0.0.0,1.0 *N-S DIRECTION FREQ FR E Q,1.0,1.4,2.0,2.5,3.3,4.3.5.5,6.7,7.7 ' F R E Q,9.1.10.0,1 1.1.16.1. 20.0,33.0,50.0,500'.0 S V,0.01,77.2.1 15. 8. 204. 6,281.8,433.2.1659.8,1659.8,579.0.405.3 S V,0.01,28 9.5. 270. 2,254.8,254.8.154.4.123.5.1 19.7,1 19.7 LWRITE AFWRITE FINISH
/0UT,0UTNID2 ANS ANP,27 i
i d l l l l 1 I II
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET ggy g N@fDME TD (o,4Q EN Mb. $ OL DATE: PACE:
SUBJECT:
dY ~ N BY: CK: k SHT: OF C"" C'" POST-PROCESSING FILE SYSTEM 4316-1 (DBE) C' " STRESS,II,4,19 STRESS,t3,4,20 l STRESS,J1,4,21 [ STRESS,J3,4,22 LCLIM,3 LCASE.1 i SET,1,1 s LCASE.2 SET,1,2 ~ LCSRSS,3,1,2 LCASE,2 SET,1,3 LCSRSS,3,2,3 LCASE.2 i SET.1.4 LCSRSS,3,2,3 LCASE.2 , SET,1,5 LCSRSS,3,2,3 LCASE.2 S ET,1,6 LCSRSS,3,2,3 i LCASE,2 ' SET 1,7 LCSRSS,3,2,3 : LCASE 2 SET,1,8 ! LCSRSS,3,2,3 LCASE,2 SET.1,9 LCSRSS,3,2,3 LCASE.2 i SET,1,10 LCSRSS,3,2,3 LCASE.2 SET,1,1 ) LCSRSS,3,2,3 > LCASE 2 SET,1,12 LCSRSS.3,1,3 i LCASE.2 i SET.1.13 , LCSRSS,3,2,3 LCASE,2 . SET,2,18 , LCSRSS,3,2,3 [ I LCASE,2 SET,2,24 LCSRSS,3,2,3 4 LCASE 2 SET 2.2S LCSRSS,3,2,3 LCASE,2 > SET 3.1 LCSRSS 3.2,3 LCASE,2 [
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: Nb $D MMN 'h DATE: PACE:
SUBJECT:
WN M b -MC kW N 'I BY: N CK: SH T.' 0F I S ET,3,2 LCSRSS 3.2,3 LCASE,2 . S ET,3,3 l LCSRSS,3,2,3 i LCASE,2 L S ET,3,4 LCSRSS 3,2,3 , LCASE,2 SET,3,5 LCSRSS,3,2,3 I LCASE,2 SET,3,6 LCGRSS,3,2,3 LCASE.2 > S ET,3,7 LCSRSS 3,2,3 LCASE,2 S ET,3,8 LCSRSS,3,2,3 / LCASE.2 S ET,3,9 LCSRSS,3,2,3 LCASE 2 i SET,3,10 l LCSRSS,3,2,3 LCASE 2 > S ET,3,11 ; LCSRSS,3,2,3 , LCASE.2 SET,3,12 I LCSRSS 3,2,3 l LCASE.2 SET,3,13 , LCSRSS,3,2,3 LCASE 2 SET,3,19
- LCS RSS,3,2,3 j LCASE.2 SET,3,20 LCSRSS 3,2,3 .!
LCASE,3 j ESEL, TYPE 1 ERSEL RE AL,1 [ NELEM PRDISP ! PREFOR
- PRSTRS,11,13.J1.J3 '
EALL ESEL, TYPE.1 '? ERSEL.REAL,2 ! t NELEM PRDISP ! PREFOR PRSTRS,II,13,J1,J3 EALL ESEL. TYPE.1 i ERSEL,REAL,3 NELEM j J
)
l
HOPPER AND ASSOCIATES ' ENGINEERS CALCULATION SHEET TITLE: bhMU IO MM NO
- b DATE: b L PACE: b%
SUBJECT:
M N b ' MLYMb T N4M Nhlb'I sy: NO CK: MSHT: OF_b D PRDISP PREFOR PRSTRS,11.13,J1,J3 i i i f t i
/ ,
t I l e E I k i l e I I a e L h l
HOPPER AND Ass:CIATES ENGINEERS CALCULATION SHEET TITLE: h MNN MO, D DATE: PACE: r
$U8 JECT: W b 'MkN Y hW hlb-I gy; NQ CK: MSHT: OF
*"" EIGENVALUE (NATURAL FREQUENCY) SOLUTION "*'
MODE FREQUENCY (CYCLESmME) I 1 10.7695426 2 15.1177832 3 15.3198123 4 17.0026697 5 20.9726790 6 33.2040876 7 38.4820832 8 42.7501592 9 46.3968674 10 49.8360342 11 57.4085106 12 62.5323514 13 67.4258425 14 73.5391224 15 77.7194027 l t 16 94.4166889 17 96.8474360 18 100.193515 19 103.959923 20 109.827858 21 117.908533 22 125.812873 23 129.000925 i 24 131.653735 25 131.653765 -; 26 141.530581 27 148.659846 28 156.759910 29 159.374828 : 30 165.305014 31 174.021746 32 177.438660 33 179.906185 s 34 180.402718 35 184.503323 i 36 190.152778 37 192.409454 38 196.087267 39 196.963765 l 40 205.927181 41 209.731960 , 42 210.643335 43 220.306140 44 232.944272 45 233.656787 { 46 240.790530 ; 47 246.065899 48 256.029051 49 262.407669 50 271.648106 51 273.355190 52 284.101987 53 290.099916 ; 54 301.867852 l l 1 l
HOPPER AND ASSOCIATES ENCINEE]S cal.CULATION SHEET TITLE: hN iD bONC68 d t9 6 . 9# DATE: b l- h PAGE:
$UBJECT: fMM b ~ Mbb 4h Df Md k%I[d gy; NQ CK: MSMT: D OF 55 306.761172 56 309.646233 57 311.770890 58 323.230341 59 333.279760 60 334.280432 61 339.994843 62 343.111751 '
63 359.850875 64 362.807178 65 368.421677 6s 368.749603 - f,7 383.813871 68 384.443363 69 386.430062 70 399.224644 , 71 403.377980 L 72 408.013764 73 419.355707 74 419.907105 [ 75 423.997270 3 76 438.531399 j 77 440.938242 78 444.542627 79 446.685301 80 447.364978 81 473.197421 82 496.514332 ; 83 502.596206 ; 84 520.995600 j 85 529.055039 86 556.358411 f 87 569.244922 88 594.840871 89 613.332875 90 658.328138 3 i I i L P
~. .
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: fob 1W TD M LMM Mbe 3 DATE: PACE:
$UBJECT: dW b~ Y Ib'I BY: kd CK: $HT: OF PRINT N0DAL Ot$ PLACEMENTS
" POST) NODAL DISPLACEMENT LISTING * * *"
l CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROTZ 1 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 2 2.01 E-03 3.37E 17 3.76E-04 170E-18 1.27E-04 0.00E + 00 3 9.12E-03 6.56E-17 8.51 E-04 8.96 E-19 2.45E-04 0.00E + 00 4 2.15E-02 0.00E + 00 1.38 E-03 0.00E + 00 3.75 E-04 0.00E + 00 5 2.3 6E-02 0.00E + 00 1.45E-03 0.00E + 00 3.9 6 E-04 0.00E + 00 6 3.31 E-02 0.00E + 00 1.75 E-03 0.00E + 00 4.35E-04 0.00E + 00 7 4.77E-02 0.00E + 00 2.21 E-03 0.00E + 00 3.59E-04 0.00E + 00 8 4.77E-02 0.00E + 00 6.34 E-03 0.00E 4 00 2.84E-04 0.00E + 00 9 4.7 B E-02 7.33E 18 1.40E-C2 0.00E + 00 9.04E-05 2.33 E-19 10 4.79 E-02 0.00E + 00 1.48 E-02 0.00E + 00 9.10E-05 0.00E + 00 11 4.78 E-02 1.53 E-17 1s60E-02 0.00E + 00 7.15E-05 3.32 E-19 12 4.78E-02 1.34 E-17 1.67E-02 0.00E + 00 4.73 E-05 3.74 E-19 13 4.78 E-02 2.57E-19 1.67E-02 0.00E + 00 3.44E-05 1.25E-19 14 4.78E-02 0.00E + 00 1.66E-02 0.00E + 00 3.8 B E-05 0.00E + 00 15 4.78E-02 5.55E.18 1.59 E-02 1.49E-18 5.90E-05 6.18E-19 16 4.75E-02 8.90E-19 1.01 E-02 1.82E 19 1.00E-04 1.67E-19 17 4.75E-02 0.00E + 00 9.14E-03 0.00E + 00 9.91 E-05 0.00E + 00 18 4.73 E-02 1.05E 17 6.95E-03 1.92E 19 9.24E-05 4.14E-19 19 4.70E-02 3.63 E-18 2.96 E-03 6.00E 19 7.41 E-05 2.39 E-19 20 4.68E-02 0.00E + 00 1.9 6E-03 0.00E + 00 3.70E-05 0.00E + 00 21 4.66 E-02 2.09 E-18 1.26 E-03 1.19E-20 1.41 E-04 1.25E-19 22 4.65E-02 3.36E-18 2.33 E-03 1.64E 20 2.70E-04 1.26E-19 23 4.18E-02 3.04E-18 2.18 E-03 4.04E-20 4.41 E-04 1.01 E-19 24 1.15E-02 0.00E + 00 1.60E-03 0.00E + 00 5.73E-04 0.00E + 00 25 1.43 E-02 2.99E-21 1.51 E-03 0.00E + 00 3.58 E-04 0.00E + 00 26 2.E3E-02 0.00E + 00 1.43 E-03 0.00E + 00 2.45E-04 0.00E + 00 27 3.57E-02 1.61E 17 1.48 E-03 0.00E + 00 1.64E-04 0.00E + 00 28 3.86 E-02 0.00E + 00 1.55E-03 0.00E + 00 8.66E-05 0.00E + 00 29 3.64E-02 1.99 E-17 1.61 E-03 0.00E + 00 1.42 E-04 0.00E + 00 30 2.93 E-02 0.00E + 00 1.67 E-03 0.00E + 00 2.3 B E-04 0.00E + 00 31 2.08E-02 4.9 4E-04 1.72E-03 1.73 E-05 2.80E-04 8.26E-05 32 1.39E-02 7.76E-04 1.62E-03 1.09 E-05 2.72 E-04 1.11 E-04 33 7.21 E-03 1.03 E-03 1.50E-03 1.45E-05 2.32 E-04 1.06 E-04 34 2.10E-03 1.36E-03 1.54E-03 9.58 E-06 1.60E 04 6.14E-05 35 2.04E-03 1.06E-04 2.29E-03 5.80E-05 9.56E-05 5.72E-05 36 4.68E-04 4.28 E-05 5.56E-04 5.21 E-05 3.86 E-05 4.44E-05 37 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 38 4.85E-02 5.33E.17 1.47E-02 2.30E-18 7.50E-05 6.01E 20 39 4.94E-02 7.44E-17 1.33 E-02 1.92E-18 8.91 E-05 1.78E 18 40 4.94E-02 5.99 E-18 1.00E-02 4.17E-19 9.62 E-05 1.13E-18 41 4.94E-02 0.00E + 00 9.14E-03 0.00E + 00 9.34E-05 0.00E + 00 42 4.94 E-02 1.03 E-17 7.08 E-03 4.60E-19 8.93 E-05 6.90E-19 43 4.82 E-02 1.31 E-17 4.29 E-03 8.67E-19 9.05E-05 1.57E-19 44 4.93 E-02 2.05E-17 5.81 E-03 7.47E-19 9.07E-05 6.07E-19 45 4.94E-02 1.38E 17 6.66E-03 5.55E-19 8.95E-05 7.07E-19 MAXIMUMS NODE 41 34 12 35 24 32 VALUE 4.94E-02 1.36E-03 1.67E-02 5.80E-05 5.73E-04 1.11 E-04 I 1
)
I
HOPPER AND ASSOCIATES ENGINEERS cal.CULATION SHEET TITLE: MI 9
- b h DATE: PACE: h
SUBJECT:
' W BY: N CK: HT: OF PRINT NODAL FORCES PER ELEMENT
" POST) ELEMENT NODE FORCE LISTING "*'
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y,2 FORCES ARE IN GLOBAL COORDINATES ELEM = 1 FX FY FZ MX MY MZ 1 177.6496 9.21E 12 972.97794 2.80E-10 2 12474.129 0.00E + 00 ' 177.6496 9.21E-12 972.97794 3.74E-12 9295.6462 0.00E + 00 ELEM = 2 FX FY FZ MX MY MZ 2 174.98792 9.21E-12 972.97794 3.74E 12 9295.6462 0.00E + 00 3 174.98792 9.21E-12 972.97794 ; 3.46E 10 8950.4645 0.00E + 00 ELEM = 3 FX FY FZ MX 3 MY MZ 167.17893 1.90E 11 972.97794 3.46E-10 4 8950.4645 0.00E + 00 167.17893 1.90E-11 972.97794 4.53E-10 13200.662 0.00E + 00 ELEM = 4 FX FY FZ MX 4 MY MZ 425.0251 0.00E + 00 965.319 0.00E + 00 5 13200.662 0.00E + 00 425.0251 0.00E + 00 965.319 0.00E + 00 10707.853 0.00E + 00 ELEM = 5 FX FY FZ MX 5 MY MZ 425.0251 0.00E + 00 965.319 0.00E + 00 6 10707.853 0.00E + 00 425.0251 0.00E + 00 965.319 0.00E + 00 . 2515.159 0.00E + 00 ! ELEM = 6 FX FY FZ MX 6 MY MZ 405.3462 0.00E + 00 965.319 0.00E + 00 7 2515.159 0.00E + 00 405.3462 0.00E 4 00 965.319 0.00E + 00 14966.779 0.00E + 00 ELEM = 7 FX FY FZ MX 7 MY MZ 405.3462 0.00E + 00 965.319 0.00E + 00 8 14966.779 0.00E + 00 405.3462 0.00E + 00 965.319 0.00E + 00 19211.523 0.00E + 00 ELEM = 8 FX FY FZ : MX MY MZ 8 293.37556 2.18E 12 245.53362 0.00E + 00 19211.523 9 293.37556 5.30E 11 2.18E 12 245.53362 0.00E + 00 } 5258.4406 7.32E-11 ELEM- 9 FX FY FZ MX 9 MY MZ f 293.37556 7.37E-12 256.6755 0.00E + 00 10 5258.4406 7.32E-11 293.37556 7.37E-12 256.6755 0.00E + 00 I 2228.714 1.18E 10 ! ELEM = 10 FX FY FZ MX MY MZ 10 228.5476 8.27E-12 ! 85.115031 0.00E + 00 2228.714 1.62E-10 11 228.5476 8.27E-12 85.115031 0.00E + 00 2862.7668 1.11 E-10
'[
ELEM = 11 FX FY FZ 11 MX MY MZ i 228.5476 3.11E 12 49.924635 i 0.00E + 00 2862.7668 1.11E-10 12 228.5476 3.11E-12 49.924635 0.00E + 00 3408.9152 3.66E 11 ELEM- 12 FX FY FZ 12 MX MY MZ i 228.5476 3.11 E-12 49.924635 0.00E + 00 13 3408.9152 3.66E-11 228.5476 3.11E-12 49.924635 0.00E + 00 4665.0655 7.23E-11 s
-. --*-n .
W"
i l HOPPER AND ASSOCIATES ENGINEERS 1 CALCULATION SHEET l TITLE: M TO MW N3 DATE: PACE:
SUBJECT:
BY: CK: SHT: OF ELEM = 13 FX FY FZ MX MY MZ 13 228.5476 3.11 E-12 49.924635 0.00E + 00 4665.0655 7.23 E-11 14 228.5476 3.11 E-12 49.924635 0.00E + 00 4828.122 8.47E-11 l l ELEM = 14 FX FY FZ MX MY MZ 14 256.8026 1.34E 11 70.203577 1.57E-10 4828.122 2.05E-10 15 256.8026 1.34E-11 70.203577 1.57E-10 4658.3189 1.73 E-11 ELEM = 15 FX FY FZ MX MY MZ 15 331.69172 1.69E-12 37.778619 2.68 E-11 2800.8364 8.82E-11 16 331.69172 1.69E-12 37.778619 2.68E-11 955.78651 3.34E-11 ELEM . 16 FX FY FZ MX MY MZ 16 466.70158 1.69E-12 173.00155 2.68 E-11 955.78651 3.34E-11 17 466.70158 1.69E 12 173.00155 2.68E 11 1645.827 5.03E-11 ELEM - 17 FX FY FZ MX MY MZ 17 466.70158 1.22E-11 41.187573 1.18 E-11 1645.827 1.90E-10 18 466.70158 1.22E-11 41.,187573 1.18E-11 929.91706 1.04E-10 ELEM = 18 FX FY FZ MX MY MZ 18 466.70158 2.92E 12 22.271312 1.18 E-11 929.91706 1.04E-10 19 466.70158 2.92E-12 22.271312 1.185-11 1507.8809 4.84 E-11 ELEM = 19 FX FY FZ MX MY MZ 19 648.74396 2.04E-12 78.332428 3.68E 11 4521.4986 1.76E-11 20 648.74396 2.04E-12 78.332428 3.68E 11 4596.1608 4.63E-11 ELEM = 20 FX FY FZ MX MY MZ 20 791.04433 6.14E 13 1132.6703 6.E3E 13 4596.1608 1.99E-11 21 791.04433 6.14E-13 1132.6703 6.53E-13 26866.811 3.33 E-12 ELEM = 21 FX FY FZ MX MY MZ 21 791.04433 6.14E 13 1132.6703 6.53 E-13 26866.811 3.33 E-12 22 791.04433 6.14E-13 1132.6703 6.53E 13 38157.999 2.81 E-12 ELEM = 22 FX FY FZ MX MY MZ 22 791.04433 6.14E-13 1132.6703 6.53 E-13 38157.999 2.81 E-12 23 791.04433 6.14E-13 1132.6703 8.64E-12 28024.612 2.81E 12 ELEM - 23 FX FY FZ MX MY MZ 23 846.33494 3.98E-13 1133.084 8.64E-12 28024.612 2.81 E-12 24 846.33494 3.98 E-13 1133.084 1.25E-11 18286.917 2.81 E-12 ELEM = 24 FX FY FZ MX MY MZ 24 149.72352 8.14E 16 181.3334 1.95E-14 18286.917 0.00E + 00 25 149.72352 8.14E 16 181.3334 1.95E-14 12355.687 0.00E + 00 ELEM = 25 FX FY FZ MX MY MZ 25 131.53815 8.14E 16 181.3334 1.95E-14 12355.687 0.00E + 00 26 131.53815 8.14E 16 181.3334 1.95 E-14 7380.4672 0.00E + 00 ELEM = 26 FX FY FZ MX MY MZ 26 126.54918 8.18E 12 282.31184 1.60E 10 7380.4672 0.00E + 00 27 126.54918 8.18E 12 282.31184 1.60E 10 8371.9273 0.00E + 00 ELEM = 27 FX FY FZ MX MY MZ 27 82.604001 8.18E 12 282.31184 1.60E 10 8371.9273 0.00E + 00 28 82.604001 8.18 E-12 282.31184 1.60E 10 9199.0733 0.00E + 00
1 1 HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: N
- b DATE: PACE:
SUBJECT:
b b" b i I BY: CK: SHT: OF_ ELEM = 28 FX FY FZ MX MY MZ 1 28 44.036136 1.01 E-11 271.17205 1.97E 10 9199.0733 0.00E + 00 ! 29 44.036136 1.01 E-11 271.17205 1.97E-10 9177.6427 0.00E + 00 ' i ELEM = 29 FX FY FZ MX MY MZ 29 94.407091 1.01E 11 271.17205 1.97E 10 9177.6427 0.00E + 00
)
30 94.407091 1.01E 11 271.17205 1.97E 10 5942.5418 0.00E + 00 ' ELEM = 30 FX FY FZ MX MY MZ 30 122.46022 181.54334 264.02481 4251.4107 5942.5418 3630.8626 31 122.46022 181.54334 264.02481 1828.9303 2498.9382 3690.8626 ELEM = 31 FX FY FZ MX MY MZ 31 171.17729 179.78652 254.02481 1828.9303 2498.9382 3690.8626 32 171.17729 179.78652 264.02481 325.87613 2154.5876 655.95647 ELEM = 32 FX FY , FZ MX MY MZ 32 171.17729 179.78652 264.02481 325.87613 2154.5876 655.95647 33 171.17729 179.78652 264.02481 1384.3651 4805.9124 2700.9408 ELEM . 33 FX FY FZ MX MY MZ 33 196.08295 176.85768 265.0039 1384.3651 4805.9124 2700.9408 34 196.08295 176.85768 265.0039 3285.5131 9682.4731 2700.9408 ELEM - 34 FX FY FZ MX MY MZ i 34 196.08295 175.11 265.0039 3285.5131 9682.4731 2700.9408 35 196.08295 175.11 265.0039 3285.5131 2999.75 l 1885.5928 ELEM = 35 FX FY FZ MX MY MZ 35 203.24552 175.11 270.68727 3285.5131 2999.75 1885.5928 36 203.24552 175.11 270.68727 4312.403 2999.75 3958.1083
)
ELEM . 36 FX FY FZ MX MY MZ 36 203.24552 175.11 270.68727 4312.403 2999.75 3958.1083 37 203.24552 175.11 270.68727 9451.07 2999.75 7795.7433 ELEM = 27 FX FY FZ MX MY MZ 15 148,15S.:9 1.51E 11 53.537382 1.84E 10 2369.01 1.05E 10 38 148.15549 1.51 E-11 53.537382 9.68E-11 1758.2709 1.66E 10 l ELEM = 38 FX FY FZ MX MY MZ 38 96.520912 3.90E 12 53.537382 9.68 E-11 1758.2709 1.66E-10 39 96.520912 3.90E-12 53.537382 6.14E-11 1814.9621 1.42E 10 ELEM = 39 FX FY FZ MX MY MZ 39 96.520912 1.04E 11 71.018925 6.14E-11 1814.9621 1.42E 10 40 96.520912 1.04E-11 71.018925 6.14E 11 948.00949 2.32E 10 ELEM = 40 FX FY FZ MX MY MZ ! 40 96.520912 1.04E-11 71.018925 6.14E-11 948.00949 2.32E 10 41 96.520912 1.04E 11 71.018925 6.14E 11 1597.9484 3.35E-10 ELEM = 41 FX FY FZ MX MY MZ 41 137.49955 4.42E-12 54.70529 2.82E 11 1597.9484 1.2 5E-10 42 137.49955 4.42E-12 54.70529 2.82E-11 1269.7585 1.92E-11 ELEM = 42 FX FY FZ MX MY MZ
HOPPER AND ASSOCIATES ENGINEEDS CALCULATION SHEET 1 TITLE: MM M*D DATE: PACE:
SUBJECT:
BY: D CK: SHT: OF l 42 137.49955 4.42E 12 53.852385 2.82E 11 1269.7585 1.92E-11 i 45 137.49955 4.42E 12 53.852385 2.82E 11 1380.2224 3.35E-12 , ELEM = 43 FX FY FZ MX MY MZ l 45 137.W955 4.42E 12 53.852385 2.82E 11 1380.2224 3.35E-12 l 44 137.49955 4.42E-12 53.852385 2.82E 11 1710.4035 4.72E 11 , ELEM . 44 FX FY FZ MX MY MZ 44 137.49955 1.32E 12 53.852385 2.82[-11 1710.4035 4.72E-11 43 137.49955 1.3 2E-12 53.852385 1.48E 11 890.2608 3.40E 11 I I ELEM = 45 FX FY FZ MX MY MZ i 43 218.89612 3.26E 12 53.852385 1.4BE 11 890.2608 3.40E 11 ! 19 218.89612 3.26E 12 53.852385 4.86E 11 3328.427 3.14E 11 ' PRINT ELEMENT STRESS ITEMS PER ELEMENT
* * * ' POST 1 ELEMENT STRESS LISTINQ ' *"
CALCULATED LOAD CASE- 3 ELEM 11 13 J1 J3 1 769.4838 1305.6994 494.48547 1071.5602 > 2 494.48547 1071.5602 544.01872 1007.2235 3 544.01872 1007.2235 994.18993 1245.9121 4 993.9788 1244.4208 804.26237 1054.0058 5 804.26237 1054.0058 425.11758 401.7697 6 425.11758 401.7697 1175.1587 1343.7427 7 1248.0327 1189.6764 1613.1067 1505.5236 e 8 1570.7816 1542.5868 443.47329 434.31362 9 443.47329 434.31362 233.20559 185.71476 10 201.20287 197.40952 278.18824 210.35585 11 278.18824 210.35585 306.54765 269.12134 12 306.54765 269.12134 389.0771 384,12031 13 389.07/1 384.12031 400.59056 398.35163 14 389.17559 414.14713 367.26703 408.70655 15 249.29157 266.4572 81.618645 189.5038 16 125.11799 238.60865 178.92726 253.04652 17 178.92726 253.04652 175.25924 203.06488 18 175.25924 203.06488 163.13179 252.4889 19 301.26647 541.83293 279.1655 561.5217 ! 20 286.11464 606.98405 1934.6833 2421.4981 ' 21 1934.6833 2421.4981 2845.98 3331.8548 22 ! 2725.5451 3457.6383 1902.4675 2645.893 23 1903.1428 2645.4566 1245.794 1781.9658 24 1431.0802 1526.7821 944.76294 1054.2736 25 944.76294 1054.2736 538.52306 656.46718 26 543.86744 661.9678 590.28338 767.88291 27 590.28338 767.88291 650.72467 839.37792 28 651.55495 837.70946 651.84744 834.40376 29 651.84744 834.40376 399.16872 567.98006 30 727.52786 901.29193 250.92662 427.79147 31 360.81038 561.88101 127.53463 239.01487 32 127.53463 239.01487 429.65556 647.38406 ) 33 408.73368 590.80932 955.8612 1139.4471 l 34 935.03692 1067.6485 324.88902 457.40465 35 356.10006 477.83284 586.24411 705.66303 36 586.24411 705.66303 l 1303.1527 1423.4088 ' I
)
1 i
HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE: h *ED kb CMid No. 27 DATE: PACE:
SUBJECT:
~b N 8Y: 5 CK: $3 SHT: OF 37 217.02744 177.69277 165.26809 135.73104 38 154.37734 140.27259 153.1934 150.62412 39 152.04177 150.07586 85.074384 84.264688 40 85.074384 84.264688 134.29844 133.88436 I 41 134.80996 143.03056 93.281231 132.78415 42 93.281231 132.78415 107.19835 136.62623 43 107.19835 136.62623 132.60103 160.966 44 135.16152 157.88278 86.839608 88.219933 45 98.366389 10".22378 250.6273 302.85544 MINIMUMS ELEMENT 40 40 15 39 VALUE 85.074384 84.264688 81.618645 84.264688 MAXIMUMS ELEMENT 22 22 21 21 VALUE 2725.5451 3457.6383 2845.98 3331.8548 178 ELEMENTS (OF 178 DEFINED) SELECTED,BY EALL COMMAND.
ESEL FOR LABEL = TYPL FROM 1TO 1 BY 1 91 ELEMENTS 10F 17% DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL = REAL TAOM 2TO 2 BY 1 34 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND. 25 NODES (OF 108 DEFINED) SELECTED FROM 34 SELECTED ELEMENTS BY NELE COMMAND. PRINT NODAL DISPLACEMENTS
' *" POST 1 NODAL DISPLACEMENT LISTING
CALCULATED LOAD CASE = 3 THE FOLLOWING X.Y,Z DISPLACEMENTS ARE IN GLOBAL COORDINATES NODE UX UY UZ ROTX ROTY ROT 2 47 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 48 8.46E-04 3.55E-18 3.94 E-04 1.94E-19 6.59 E-05 0.00E + 00 49 5.13 E-03 7.45E.18 8.72E-04 5.26E-20 2.00E-04 0.00E + 00 50 2.15E-02 0.00E + 00 1.55E-03 0.00E + 00 5.12E-04 0.00E + 00 51 3.55E-02 1.99 E-18 1.89 E-03 1.25E-19 6.43E-04 7.27E-20 52 6.66E-02 8.10E-18 2.59E-03 1.12E-19 5.19 E-04 2.24E-19 l 53 7.36E-02 9.69 E-18 2.81E.03 9.45E-20 3.76E44 2.71 E-19 54 7.38E-02 5.26E-18 2.00E-03 5.83 E-20 2.37E-04 3.02E-19 55 7.40E-02 0.00E + 00 6.34 E-03 0.00E + 00 1.40E-04 0.00E + 00 56 7.44 E-02 2.64E 17 1.06E-02 0.00E + 00 1.16E-04 2.75E-19 57 7.48E-02 0.00E + 00 1.4 8 E-02 0.00E + 00 9.11 E-05 0.00E + 00 58 7.51E 02 6.94E-18 1.66E-02 0.00E + 00 6.75E-05 1. 27E-19 59 7.55E-02 0.00E + 00 1.66E-02 0.00E + 00 5.12E-05 0.00E + 00 60 7.56E-02 0.00E + 00 1.52E-02 0.00E + 00 7.28E-05 0.00E + 00 61 7.59E-02 0.00E + 00 9.14E-03 0.00E + 00 L.39 E-05 0 00E + 00 62 7.59E-02 2.88 E-18 8.55E-03 0.00E + 00 7.81 E-05 5.21 E-19 63 7.59 E-02 1.82E 17 7.44 E-03 0.00E + 00 6.76E-05 3.53E 19 64 7.60E-02 0.00E + 00 1.96E-03 0.00E + 00 1.82E-04 0.00E + 00 65 7.60E-02 0.00E + 00 1.43E-03 0.00E + 00 2.21 E-04 0.00E + 00 i 1 66 7.23E-02 0.00E + 00 1.49 E-03 0.00E + 00 2.69E-04 0.00E + 00 l l
^
l
HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET TITLE:
- DATE: b PACE:
SU8 JECT: b' M i BY:
- CK: Mk SHT: OF 67 6.37E-02 0.00E + 00 1.60E-03 0.00E + 00 3.49E-04 0.00E + 00 68 5.19E-02 7.14E-23 1.54E 03 1.81E-24 4.13E-04 0.00E + 00 69 2.64E-02 2.62E.24 1.44E-03 8.40E 25 4.30E-04 0.00E
- 00 70 2.3 8 E-02 0.00E + 00 1.43 E-03 0.00E + 00 4.23E 04 0.00E + 00 71 9.59E-03 4.26E-05 1.25E-03 3.98E46 3.36E-04 5.64E-05 72 4.90E-03 1.10E-04 1.18E-03 1.69E-05 2.77E-04 8.00E 05 73 2.53E 03 6.43E-05 5.86E-04 1.53E-05 7.12E-05 8.15E-05 74 1.08E-03 1.28E-04 3.90E-04 7.83E-06 4.93 E-05 4.66E-05 75 2.42E-04 1.54E-04 2.30E-04 9.18E-06 3.59E-05 2.01 E-05 76 5.50E-05 7.84E-05 8.34E-05 9.47E-06 1.82E-05 7.71 E 06 77 0.00E 4 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 78 2.06E-03 3.57E-05 3.91 E-04 1.02E-05 3.05E45 8.74E-05 79 1.29E-03 1.06E-04 2.25E-04 1.03 E-05 1.04E-05 7.32E-05 80 3.89E-04 5.37E-05 7.69 E-05 8.97E-06 5.29 E-06 4.81 E-05 81 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 0.00E + 00 MAXIMUMS NODE 65 75 E8 72 51 78 VALUE 7.60E-02 1.54E-04 1.66E-02 1.69E-05 6.43E-04 8.74E-05 PRINT NODAL FORCES PER ELEMENT
'"' POST) ELEMENT N0DE FORCE USTING "*"
CALCULATED LOAD CASE = 3 THE FOLLOWING X.Y,Z FORCES ARE IN GLOBAL COORDINATES ELEM = 58 FX FY FZ MX MY MZ 47 417.35816 2.B B E-12 1480.9435 SJBE-11 11724.716 0.00E + 00 48 417.35816 2.88E-12 1480.9435 3.29E-12 19223.368 0.00E + 00 ELEM = 59 FX FY FZ MX MY MZ 48 417.35816 2.8BE 12 1480.9435 3.29E4 2 19223.368 0.00E + 00 49 417.35816 2.88 E-12 1480.9435 9.45E-11 31914.32 0.00E + 00 ELEM = 60 FX FY F2 MX MY MZ 49 423.93909 4.22E-12 1480.9435 9.45E 11 31914.32 0.00E + 00 50 423.93909 4.22E-12 1480.9435 1.08E 10 51613.176 0.00E + 00 ELEM = 61 FX FY FZ MX MY MZ 50 1419.8466 2.70E-12 1480.9435 6.47E-11 51613.178 1.12E 11 51 1419.8466 2.70E-12 1480.9435 8.12E 12 17715.132 1.12E-11 ELEM = 62 FX FY FZ MX MY MZ 51 1320.4059 2.19E 13 1481.2607 8.12E 12 17715.132 1.12E 11 52 1320.4059 2.19E-13 1481.2607 5.92E-12 48607.362 1.12E-11 ELEM = 63 FX FY FZ MX MY MZ 52 1320 4059 2.19E-13 1481.2607 5.92E-12 48607.362 1.12E-11 53 1320.4059 2.19E-13 1481.2607 8.60E-12 69049.828 1.12E 11 ELEM = 64 FX FY FZ MX MY 53 MZ 1320.4059 2.19E-13 1481.2607 8.60E 12 69049.828 1.12E 11 54 1320.4059 2.19E-13 1481.2607 8.60E 12 46345.891 1.39 E-11 ELEM = 65 FX FY FZ MX MY 54 MZ 1110.9828 7.18 E-12 1481.2607 8.60E-12 46345.891 1.39E-11
i HOPPER AND ASSOCIATES ' ENGINEERS CALCULATION SHEET ygygg. fo1N D M W9-tl ND D DATE: PAGE: [ EUBJECT. SY: b CK: ENT: OF 55 1110.9828 7.18E 12 1481.2607 8.60E-12 11991.516 1.66E-10 i ELEM. 66 FX FY F2 MX MY MZ 55 1110.9828 3.47E 11 152.21507 0.00E + 00 11991.516 6.73E 10 56 1110.9828 3.47E 11 152.21507 0.00E + 00 8823.4363 5.77E 10 i i ELEM . 67 FX FY FZ MX MY MZ 56 880.33371 2.25E 11 124.74982 0.00E + 00 8823.4363 5.77E-10 57 880.33371 2.25E 11 124.74982 ! 0.00E + 00 7206.6577 5.05E 10 ? ELEM - 68 FX FY FZ MX MY 57 MZ 880.33371 8.31E-12 142.35838 0.00E + 00 7206.6577 1.68E 10 ; 58 880.33371 8.31 E-12 142.35838 0.00E + 00 8501.4925 1.23E-10 I ELEM = SS FX FY FZ MX i MY MZ i 58 652.13835 3.59E-12 97.714121 0.00E + 00 8501.4925 1.23E-10 59 652.13835 3.59E-12 97.714121 0.00E + 00 10748.105 9.65E-11 ELEM = 70 FX FY FZ MX MY MZ I 59 652.13035 0.00E + 00 11'.19307 4 0.00E + 00 10748.105 0.00E + 00 60 652.13835 0.00E + 00 114.19307 ! 0.00E + 00 8798.011 0.00E + 00 i ELEM = 71 FX FY FZ MX i MY MZ I 60 402.7717 0.00E + 00 191.76234 0.00E + 00 8798.011 0.00E + 00 61 402.7717 0.00E + 00 ! 191.76234 0.00E + 00 7566.8544 0.00E + 00 ! ELEM = 72 FX FY FZ MX } MY MZ ' 61 402.7717 2.11 E.11 362.04579 0.00E + 00 7566.8544 4.33E-10 62 402.7717 2.11E-11 362.04579 0.00E + 00 4456.59E6 2.22E 10 ! ELEM = 73 FX FY FZ MX. ! MY MZ 62 130.12361 2.11E-11 . 362.04579 0.00E + 00 j 4456.5996 2.22E-10 ' 63 130.12361 2.11E 11 362.04579 0.00E + 00 6408.1022 3.06E 10 ELEM = 74 FX FY FZ MX MY MZ 63 130.12361 8.48E 12 332.09237 0.00E + 00 6408.1022 3.06E-10 64 130.12361 8.48E 12 332.09237 } 0.00E + 00 27155.432 2.37E 10 , ELEM = 75 FX FY FZ MX 64 MY MZ 130.12361 0.00E + 00 777.4641 0.00E + 00 65 27155.432 0.00E + 00 130.12361 0.00E + 00 777.4641 0.00E + 00 19803.773 0.00E + 00 ELEM = 76 FX FY FZ MX MY MZ 65 130.12361 0.00E + 00 777.4641 0.00E + 00 19803.773 0.00E + 00 ' 66 130.12361 0.00E + 00 777.4641 0.00E + 00 20991.2 0.00E + 00 ELEM . 77 FX FY FZ MX 66 MY MZ 178.39239 0.00E + 00 777.4641 0.00E + 00 67 20991.2 0.00E + 00 178.39239 0.00E + 00 777.4641 0.00E + 00 16725.334 0.00E + 00 ELEM = 78 FX FY FZ MX MY MZ 67 206.4746 1.10E-16 245.61204 2.07E-15 16725.334 0.00E + 00 68 206.4746 1.10E-16 245.61204 1.34E 15 10855.167 0.00E + 00 ELEM = 79 FX FY FZ MX MY MZ 68 287.22652 3.58E 17 245.61204 1.34E 15 10855.167 j 69 287.22652 0.0CE+00 ; 3.58E 17 245.61204 7.73E.16 7730.5686 0.00E + 00 l ELEM = 80 FX FY FZ MX MY MZ l "9 AW 4 7 .
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: h b ' DATE: PACE: SUSJECT: W BY: . CK: SHTb OF 69 287.22652 3.58E-17 245.61204 7.7246 7790.5686 0.00E + 00 70 287.22652 3.58 E-17 245.6'204 9.88E-16 9330.4115 0.00E + 00 ELEM - 81 FX FY FZ MX MY MZ 70 377.13104 173.17668 493.76701 2526.8879 9330,4115 5619.0535 71 377.13104 173.17668 493.76701 3880.6494 21445.066 5619.0535 ELEM = 82 FX FY FZ MX MY MZ 71 377.13104 173.17668 493.76701 3880.6494 21445.066 5619.0535 72 377.13104 173.17668 493.76701 6564.888 27052.099 5619.0535 ELEM = 83 FX FY FZ MX MY MZ 72 377.13104 173.17668 493.76701 6564.888 27052.099 5619.0535 73 377.13104 173.17668 493.76701 7260.5882 27052.099 4940.6157 ELEM = 84 FX FY FZ MX MY MZ 73 266.73066 549.98654 277.48437 4404.6699 10785.386 13701.149 74 266.73066 549.98654 ,,277.48437 1134.6438 7613.1455 10604.375 ELEM = 85 FX FY FZ MX MY MZ 74 266.73066 549.98654 277.48437 1134.6438 7613.1455 10604.375 75 266.73066 549.98654 277.48437 2135.3823 4481.6576 7594.3346 ELEM = 86 FX FY FZ MX MY MZ 75 266.73066 549.98654 277.48437 2135.3823 4481.6576 7594.3346 76 266.73066 549.98654 277.48437 1888.141 4481.6576 4338.2431 ELEM = $7 FX FY FZ MX MY MZ 76 266.73066 549.98654 277.48437 1888.141 4481.6576 4338.2431 77 266.73066 549.98654 277.48437 6050.4065 4481.6576 3179.4312 ELEM . 88 FX FY FZ MX MY MZ 73 629.26996 376.80986 216.28264 2855.9183 16306.525 8926.9981 78 1 629.26996 376.80986 216.28264 929.59174 8762.2044 1819.3786 l ELEM = 89 FX FY FZ MX MY MZ 78 629.26996 376.80986 216.28264 929.59174 8762.2044 1819.3786 79 629.26996 376.80986 216.28264 996.73483 1300.817 6400.8918 ELEM = 90 FX FY FZ MX MY MZ 79 629.26996 376.80986 216.28264 996.73483 1300.817 6400.8918 80 629.26996 376.80986 216.28264 2139.3635 1300.817 15447.795 ELEM = 91 FX FY FZ MX MY MZ 80 629.26996 376.80986 216.28264 2139.3635 1300.817 15447.795 81 629.26996 376.80986 216.28264 5383.6031 1300.817 24866.337 PRINT ELEMENT STRESS ITEMS PER ELEMENT
* *"* POST) ELEMENT STRESS LISTING '""
ELEM 11 83 J1 J3 58 846.83085 378.40399 1229.8246 488.08089 59 1229.8246 488.08089 1783.8026 1028.9342 60 1783.8026 1028.9342 2635.4149 1899.5109 61 2635.4149 1899.5109 1148.926 465.73617
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: Mb
- DATE: U PACE: b
SUBJECT:
Mb b ~ k d BY: bN. CK: SHT: OF 62 1149.3865 464.75196 2509.5667 1760.6774 63 2509.5667 1760.6774 3403.5241 2653.6733 64 3367.2021 2686.9139 2374.8827 1692.7995 65 2319.3851 1746.0829 781.34228 358.53701 66 781.34228 358.53701 670.15771 192.16641 67 609.32569 212.24816 527.31584 197.05035 68 527.31584 197.05035 549.97098 304.07106 69 498.59697 305.36889 543.38195 460.98661 70 543.38195 460.98661 439.52905 410.29764 71 411.30526 390.42357 429.07671 245.34664 72 429.07671 245.34664 283.51653 142.97845 73 214.65489 180.81779 303.22113 261.1061 74 303.22113 261.1061 1211.5186 1167.923 75 1211.5186 1167.923 889.61291 846.09273 76 1051.6002 700.42485 1104.3052 750.21459 77 1104.3052 750.21459 915.79212 571.25789 78 674.26357 792.33306 417.05534 536.02008 79 417.05534 536.02008 280.63497 404.05574 ELEM 11 13 J1 J3 80 280.63497 404.05574 946.42048 472.39734 81 423.02702 595.82838 991.86118 1120.3833 82 991.86118 1120.3833 1324.4249 1458.4155 83 482.28111 529.02371 484.47583 530.14933
- 84 824.93602 982.07782 534.32758 693.49562 85 534.32758 693.49562 386.57751 550.15173 86 351.7926 507.00331 223.468 371.61486 87 223.468 371.61486 345.08224 473.49862 88 928.44479 815.08049 410.4139 302.87283 89 410.4139 302.87283 286.07271 170.18775 4 90 383.33026 272.86508 808.07981 698.46809 91 808.07981 698.46809 1326.0122 1217.7541 MINIMUMS ELEMENT 73 73 86 72 VALUE 214.65489 180.81779 223.468 142.97845 MAXIMUMS ELEMENT 64 64 63 63 VALUE 3367.2021 2686.9139 3403.5241 2653.6733 178 ELEMENTS (OF 178 DEFlNED) SELECTED BY EALL COMMAND.
ESEL FOR LABEL = TYPE FROM 1 TO 1 BY 1 ' 91 ELEMENTS (OF 178 DEFINED) SELECTED BY ESEL COMMAND. ERSE FOR LABEL = REAL FROM 3 TO 3 BY 1 12 ELEMENTS (OF 178 DEFINED) SELECTED BY ERSE COMMAND. 13 NODES (OF 108 DEFINED) SELECTED FROM 12 SELECTED ELEMENTS BY NELE COMMAND. PRINT NODAL DISPLACEME7TS
* * '
- POSTI NOD AL DISPLACEMENT USTING * *
CALCULATED LOAD CASE = 3 THE FOLLOWING X,Y.Z DISPLACEMENTS ARE IN GLOBAL COORDINATES 1
- _ . , _ - _ . . _ .._ _ _ - . ..__ . _ _-_. _. ..~ . _.._
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
- TITLE: ID hN Db DATE: b PACE:
SUBJECT:
d k~ N b! SY: D CK: V5HT: OF NODE UX UY UZ ROTX ROTY ROTZ 82 3.23E42 0.00E + 00 1.38E-03 0.00E + 00 0.00E + 00 0.00E + 00 83 3.22E-02 6.22E-05 1.60E-03 0.00E + 00 2.88E-05 4.10E-06 84 3.22E-02 1.47E-04 2.26E-03 0.00E + 00 4.80E-05 1.48E-06 ! 85 3.21 E-02 0.00E + 00 6.34E-03 0.00E + 00 1.17E-04 0.00E + 00 86 3.21E-02 1.35E 18 6.89E-03 0.00E + 00 1.26E-04 4.28E-19 j 87 3.19E-02 2.68E 17 1.14E-02 0.00E + 00 1.16E-04 2.31 E-19 1 88 3.17E-02 0.00E + 00 1.48E-02 0.00E + 00 2.34E-04 0.00E + 00 l 89 3.17E-02 0.00E + 00 1.54E-02 0.00E + 00 2.77E-04 0.00E + 00 1 90 3.16E-02 0.00E + 00 1.60E-02 0.00E + 00 3.13E-04 0.00E + 00 91 2.97E-02 0.00E + 00 1.60E 02 0.00E + 00 3.52E-04 0.00E + 00 l 92 2.79E-02 0.00E + 00 1.60E-02 0.00E + 00 3.77E 04 0.00E + 00 l 93 1.91 E-02 0.00E + 00 1.61 E-02 0.00E + 00 3.97E-04 0.00E + 00 94 8.85E 03 0.00E + 00 1.61 E-02 0.00E + 00 0.00E + 00 0.00E + 00 l MAXIMUMS NODE 82 84 94 0 VALUE 3.23E-02 1.47E-04 1.61 E-02 93 83 ) 0.00E + 00 3.97E-04 4.10E-06 i PRINT NODAL FORCES PER ELEMENT s
*'*
- POST 1 ELEMENT NODE FORCE LISTING ** i
\
CALCULATED LOAD CASE = 3 THE FOLLOWING X.Y.2 FORCES ARE IN GLOBAL COORDINATES i ELEM = 46 FX FY FZ MX MY MZ 82 87.37065 10.256905 27.687408 0.00E + 00 1343.8151 278.70809 ! 83 87.37065 10.256905 27.687408 0.00E + 00 898.57572 32.542363 i ELEM - 47 FX FY FZ MX MY MZ 83- 87.37065 10.256905 27.687408 0.00E + 00 898.57572 32.542363 84 87.37065 10.256905 27.687408 l 0.00E + 00 840.54364 223.88027 ( ELEM = 48 FX FY FZ MX MY MZ ' 84 87.37065 5.6295657 24.156541 0.00E + 00 840.54364 223.88027 85 87.37065 5.6295657 24.156541 0.00E + 00 2016.6323 187.07803 ; i ELEM = 49 FX FY FZ MX MY MZ < 85 269.83352 3.39E 12 114.97032 0.00E + 00 2016.6323 7.52E-11 I 86 269.83352 3.39E 12 114.97032 0.00E + 00 1411.2799 5.48E 11 ELEM = 50 FX FY FZ MX MY MZ ' 36 269.83352 3.39E 12 114.97032 0.00E + 00 1411.2799 5.48E-11 1 87 269.83352 3.39E 12 114.97032 0.00E + 00 3644.6289 8.41 E-11 ELEM = 51 FX FY FZ MX MY MZ 87 269.83352 4.85E-12 105.52725 0.00E + 00 3644.6289 8.41 E-11 86 269.83352 4.85E.12 105.52725 0.00E + 00 7509.8802 9.55E-11 ELEM - 52 FX FY FZ MX MY MZ 88 269.83352 0.00E + 00 89.840966 0.00E + 00 7509.8802 0.00E + 00 89 269.83352 0.00E + 00 89.840966 0.00E + 00 7444.8233 0.00E + 00 ELEM = 53 FX FY FZ MX MY MZ 89 269.83352 0.00E + 00 89.840966 0.00E 4 00 7444.8233 0.00E + 00 90 269.83352 0.00E + 00 89.840966 0.00E + 00 7420.1459 0.00E + 00 n y - - - - - - - - - . - .i- -. - - - a,
HOPPER AND ASSOCIATES E JCINEERS CALCULATION SHEET TITLE:
,' DATE: bb PACE:
SUBJECT:
NN k" b Nb
\
BY: CK: Mb SHT: S OF l ELEM = 54 FX FY FZ %' MX MY MZ 90 269.83352 0.00E + 00 89.840966 0.00E + 00 7420.1459 0.00E + 00 91 269.83352 0.00E + 00 89.840966 0.00E + 00 5843.2696 0.00E + 00 ELEM = 55 FX FY FZ MX MY MZ 91 269.83352 0.00E + 00 89.840966 j 0.00E + 00 5843.2690 0.00E + 00 92 269.83352 0.00E + 00 89.840966 0.00E + 00 4551.8552 0.00E + 00 ' l ELEM = 56 FX ! FY FZ MX MY 92 MZ i 298.42002 0.00E + 00 89.840966 0.00E + 00 93 4551.8552 0.00E + 00 298.42002 0.00E + 00 89.840966 0.00E + 00 2565.2189 0.00E + 00 ELEM = 57 FX FY FZ MX F MY MZ 93 301.37929 0.00E + 00 89.840966 0.00F + 00 2565.2189 0.00E + 00 94 301.37929 0.00E + 00 89.840966 0.00E + 00 14888.044 0.00E + 00 i,
'r PRINT ELEMENT STRESS ITEMS PER ElliMENT
*'" POST) ELEMENT STRESS LISTING "*"
CALCULATED LOAD CASE = 3 f 1 ELEM 11 13 J1 J3 46 240.82248 204.89778 158.85807 $ 141.26525 47 158.85807 141.26525 153.50682 138.3287 48 153.50682 138.3287 ; 351.21522 298.14337 49 423.19775 258.9522 1 315.61313 203.24549 50 315.61313 203.24549 ; 715.15087 449.55491 ' 51 715.15087 449.55491 1326.8804 1067.4153 52 1326.8804 1067.4153 1313.7922 1060.4712 , 53 1313.7922 1060.4712 1307.1968 1059.8505 54 1159.5731 1204.9669 907.66749 955.02093 55 907.66749 955.02093 701.02924 750.80251 ! 56 701.02924 750.80251 ! 391.67733 429.78649 57 391.67733 429.78649 2354.3101 2387.9194 MINIMUMS ELEMENT 48 48 47 47 VALUE 153.50682 138.3287 153.50682 138.3287 ' MAXIMUMS . ELEMENT 52 54 57 57 VALUE 1326.8804 1204.9669 2354.3101 2387.9194 *
'"' END OF INPUT ENCOUNTERED ON FILE 38. FILE 3B REWOUND '
"'" INPUT FILE SWITCHED FROM FILE 38 TO FILE 5 t 4
j
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: @f,Q!@ TO LtC O. 9 DATE: S'L k PACE: b
SUBJECT:
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HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET ggygg:7-Cdif045t TD $NLW NO . % DATE: Amt L. M pace: 4)
SUBJECT:
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HOPPER AND ASSOCIATES ENGINEERS CALCULATl3N SHEET TITLE: DN 9'C' ID M@N ND # S DATE: Ib PACE:
SUBJECT:
W b 9'< b' M N} bd M% M[gy; %% ' CK: SHT: OF N ! l 1 kD bd UNt f 0M L} Lb@ %9 k%ANQuku PuAq,c , M fe M IMA] VJQfM W t?t4% 6Lua#6 , Tyt LtNe,i J s49 N A L. Evt4% OF Tyb Ft. ATE F-"TATt T*j w e,y As AN6tt. pog,q mmt
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tou9qi . a e p:ey / y.ive9 e vw, , rre s i-.-re -r Tyt %ptsTioH C.u(v t AT T% Esb *F Tyt- STR8F is NO Loe% t< 2eco %] W T4 ['o<-Tt - d ^ t 'T - '71 E bi*r12-w] , Aw0 'Verc,. aw os 9i FAq = O ; R U. i v et Y " F RE87 % ~T At o w 9 Itts e % et,. usveR Tyne ca avy % , 7yr, eur/ bt6Wl tup w4 40 eMA t t CcR -Tgs ' Tac q Wit 1 As+.t.uzetr E 94 Tv*, S tatL} - ta , hic % M9t4S blay W } - , St t Q = - Y g.' h's %. wqtat. . Tuq u y vu 4 T~3 u.
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HOPPER AND AS$3CIATES ENCINEEZS l CALCULATION SHEET TITLE: hk0 f0 bN MN
- DATE: b PACE:
SUBJECT:
hfb954 6 - Mbt MM'N$ %N (@K ftoTgy; @@ CK: N HT:_ OF Tqe c>titrc} t 4 cWW i FA Tw uwge.mt} uuve9 pet ] A%uix PLA1(c W11i Gtn{u.At.v7 o,u t '] - a r4 ev6o, te4 8. E R&Pae % Te9 i 1 ta Tit Pt&owiss Fogg r S t."
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HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET ! l 7 Tm. EneJ9e To cor<ttbera No , t o Te: W% h 4 nace: R l sus >ect:ktMii 1 "M W N[_ l @ BY: NN CK: f HT: OF N
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' Attachment 4 to NRC-94-0050 . HOPPER AND ASSOCIATES suomsets l
l t i DECO USNRC DOCKET NO. 50-341 - j FERMI 2 CCHVAC DUCTING SYSTEMS : l CONCERN ITEM NO. 4 EVALUATION CALCULATIONS i i l l i l f Prepared for: Detroit Edison Company Nuclear Engineering Fermi 2 l 6400 North Dixie Highway i Newport, MI 48166 l Prepared by: Hopperand Associates 300 Vista Del Mar Redondo Beach,CA 90277 April,1994
i HOPPER AND ASS"CIATES I ENGINEERS l CALCULATION SHEET , TITLE: RF6 f'd fd6 F 70 Co fdCEP-f] I4 DATE: APRIL 20, I'l9 4 PAGE: [ sus >EcT: TA R Lf- or cDtJTNT6 sy: AJAe. cx: o,0 sHT: I OF I , 1 tar +tp 0F catJT e M T 6 ; 10 IMT R.o D t>cTro tJ i 11 PRO BLEM GT47tMenJT I l . 2. N\lE6TI4 A TrobJ APPROAcl+ 2-2.0 A tJ A L%m APPFDACH 3 5.0 AMALY6Ib 4 3.1 bVCTIrJ G Sy4TE M M4 g- 3 4 3.2. bVGTItJ6 SYGTE-Ul 4 Si 6 -1 5 3 3 DVCTDJG sysiEM 4 316-fo 6 3.et bucTIN16 SYFI Eh4 4B t6 -T 7 3 6 SELF W'ElGHT AtJALYEL g ; 4.O cotJ CLUSIO /J 6 9 GsD R.EFER Eld CEL IO ; PREPM2eb Gy : M M( IL A Ava.it 21,l% ! Esvieweb GY : Q&Y 6Muw, cived u,essv , 0 " I i i
HOPPER AND ASSOCIATES , ENGINEERS CALCULATION SHEET TITLE: PcAFDtHM To FA PJr l#f) 4 DATE: A PRIL.14,k4 PAGE: I r
SUBJECT:
3.0 T U T RObVGTIC Al sy: MA4c., cK: AC SMT: I OF. 2.- l 11 P20BLFM 67 4TEMs7JT > Ota MMcfi 3,1994. , THE V.6.td.R.C 6UBMITTED , DOcEET NO. SD- 34 l TO be Tf'-o1T Er b r60,J CoMfA' yy. ; T HIb bOCKE T cdM6I676 OF A RElldEb7 f O /E-ADbrT10 tJ A L IN FoR.M A TION OIJ FEP-MI 2. CC H V'AC S Y6 TEM be6I6tJ 'AtJb OPER ATIOM. ItJ PAP _7Ic.v t_A R, [ THERG ARE SEN/69-A L_ CotJCE F-N6 REGAR-bDJ(7 THE f S T M CTU P-A L.- Ir4TEGF.ITy cALGOLATION6,14 A - 05/ST-6f6 i Arab nA - oq/e9 - 6'u , PEP-fcFM5h &Y HoPPERL .. ANb A%ocIATeb. l THs PAC 4Aks Tb F'P-WPhP-t% kh> P-E~6 POtJ65 To otJE oF THE COMMENTS P06ED BY Tite NRC
, Astrwo7tJG H-A - c s/t9- 626, tJAMs.1 :
In all analyses the beam bending stresses were based on one significant moment. It isn't clear that the highest longitudinal stresses were calculated, based on possibic blaxlal moment loading and axial loading.
= .__ . . _ . _. _ _
HOPPER AND ASSOCIATES , ENCINEERS CALCULATION SHEET , TITLE: REbFDM6E Tn CofJCGP>J 4 DATE:A1'a :L 6,% PACE: 2.
SUBJECT:
- I. O f rd T P--O bdCTTD d BY: M Ait CK: A IZ. SHT:1 0F O-r i 1.2 / int E6TIG A TIO bJ A PP 12.0 A C4-4 FCOM TH2 compt)TU F?- A+JAL46T5 52250urs DOCUMEIVTED ItV [l], BI A XI41 Es-NDItJ5 EFFE(.76 f WILL- 6& ENAbdATEb . THE E.K. TEN T To vJHIG44 TH& HIGHELT LO/J61TUDIAlAL ST REME% (6 R GPOI?T ED ltd HA r- 05}89-686) age AFFEc7ED G4 CotJ61bER.Dd(x BI A XLAL MDME7JT L 0ASIrds wILL. . BE E\/At VATEb. At 60, IT PJ1L L - BE SHOW/AJ TH AT AYIA L L O A-bfld & EFF EC.T6 VJGRET IM b ET) JMCL.t.7 deb 19 THE A1)AfN6Ib DotJF 19 El] . ! l 4
- HOPPER AND ASSDCIATES l ENGINEERS CALCULATION SHEET l
. TITLE: P EE Ph tJ6n Tn cotJc t:62rJ 4 DATE: APRit. RR% PACE: "2 susJEcT: 2.n Atd A LV6IS AP P9_.O AC44 aY: M A Y_ CK: A . fl. SHT: I OF 1
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IM THE e x.MT IM 4 A1JALY6m CQ MAXIMUM l.OtJGITubIfJAL ; 67REW Eb VJER E GVAL UA TErb E A6ED Old THE~ MA XIMU M FO RCEb A+Jb MO MEtJT6 CP.,TAitJ ED Ifd EACH OF THE FOd P- DU(tit 4G SY6 TEM 6. r-ce. Tag i 6G16r41C 1-o r bIeJ & CA t.E , THE 66E ANAL.Y6 E ! PC Ob dCED THE WlORGT c4 S E EFfscT. t oract1TunItJAL. S'TI2 EM Eb WERE T H Ell e-AL-(A LATEL SAGEb otJ THE i Q AE= M E R. BsNbitJCr MDME:rJT AE.0VT Ttte Two FtEXUEA Ax56 AtJb Tt4 6 Mi AL. f0/26 (oETADJE I> BY AM M65 0F FORc.e> AN2> MOME=IJTL bue To ehCTHQUA'cE% DJ 6 hTRE A) TH1b R&9DUT, THE E FFECT O F TlH= BEtJbTtd 6- ; MOMEM AGDdT THE OTHt42. F L.e x V M L Axis vlIL R ar %oEb To THE M A xIMUM L otVerIT ubItJA L sTABSSES FOR 6SE L O AISIrd Cr coWureb DJ [1].
HOPPER AND ASSOCIATES l ENGINEERS CALCULATION SHEET
, TITLE: PMbFOd68'~ TA COldiGPd 4- DATE: A PR74 20;l9 9 4- PACE: 4- ]
SUBJECT:
I.O M A-L.V6D BY: M At- CK: A . f. SHT: 1 OF 4 SY6T W 2 8 f/ e -3 51 DOGTIM6 i THn .7% A ROVrJ b bVcTItJ tr t Y6 TEM . As A VEs Y i CorJ6ET\/ATIVE ESTIMATE , THE MAXlMUM 67Cef,5c 4 I AT T HE EE KTR-E'ME Ff 6 EO- Wot)L-b GE suMMEb UF FO R- BOTH T% MOueJf6 (EVE 1J THOU6 H THEY Ac.T Aso uT Two Ol2.THMotJA-t_. Ax Er6). F9-o M RsF [i ) , PAG E6 2 6 $ EEi, ; FA xat,. = 662_ 9 14, S = 4 N 30 LB-ItJ, M2 = 369 2. Es 'N (. 66 G t -CAbI.td cy) ;
- i r = Mid + Fu,% + f4d ~
tJoTs : A n 4t_ Lo A nzio 6- v>A c 21 A 21. ruccuted JN I D-)]
= (4:79 30X 18) + GG2A 9 (369.@OC1 (2.)(106 f) 2 91E (2.)(106 7) ]
i l
= 4301 pt l Cry = 4 *soI x 100 = lI.4 l {sAtw As PEPOC%b 1t1[1]
% 000 HE7JcE , th_ t+A6 ItJ614NIPTCAt)T GFF e cT otJ THe HIG H e22 T W tJ61.T u bItJ A t_. GT R E%:3,,
i l
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HOPPER AND ASSOCIATES 1 ENGINEERS l CALCULATION SHEET TITLE: @E*>FDAl6*: 70 totJc W td 4 DATE: AMLU S0r 1994 PACE: 5 susJECT: E.O A tlA LY6T6 sY: mat _ CK: A.E. SMT: 2- 0F . _ 4 i
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3.2 bVCT i tJ4 SY6 TEM 4216-l 2 i THE Ts A lt## x.14 " 6 WARE: DWTId6 5 YGTEM. F90 AA AEF D3, PAGO 37 4 97, , Ps xon= 990 G L6, M, = 5*1502 v5- s tJ , Mz = 152 41 LB-ita l (GGGLoot:oJG) C =- !$L_. + Frew 9 M1 cl 22- 3 2. I ,
= (5190 2-)(lQ 4 M0 2 6 + (!s2. 4)(IM 89_
(iJons hiet 2(94.4.) 2(94.4) W AW6 w)J uJevo w o i 181 T, t
= 4(o I 6 PGI .'. S UOc uzid (c occoRs ;
MAXIMUM (7AtJ Ez__ 17AE% A 65U MItJG- MItJItm)lA - 6T 4. P NI.b TH C. = 0 9 5' (461%)[14)[0 05L) = ,,tr 2 (0.95) + (1415)blf- 2.lv.95))](0 0576) . OP i tr z 150lb fSi t 42 Fb gcerJTA G r of YIELD S.T /z t IJ frT H- , E y 100 *f = fo9 6 / (TH12, wA6 69 3% ie [i]) 9P i H elJc6 ; 7HE 6FFEC7 OF th. 16 t(J4 f GtJIF tc AtJT. P P r -_ w -
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H@PPER AND ASSOCIATES ENCINEERS
- CALCULATION SHEET TITLE: R :zforJA r To cotJN1 d DATE: Af'SIL 2411% PACE: G susJEcT: bo AtJ A LMST'!> BY: M A }<-. CK: A.E sHT: 3 0F If f
- 3. S DVCTIQ 5 SYbTE-M 4% I6-- 6 Tur5 c% REM corJ5.n.Ts OF 16"( 4 # s.pOA42 E !
DUC% ArN b la . G# $ RoVA.)b bucTG. j6 #X 16 # SGUA9 E bOL% i F R.0 M R E 5: [.l'],PA425 49 4 109,
%gg = sL7 9 L6, 'M =-i 9 8 8 l 3 LS- f rJ, M2 . = 12 0 2. LG 'tJ
(%e Lobbm4) cr = M, d + E 4 w 3 g, + M2 .d 21 A 21 ,
- - (99 81 3)h61 9 6L7.9 -f- h2-0 7.)l l6) [ MOTE: AwAL (2-) (I!J-l') Sb (2 ) ( l @ t) L Olb1kh WP f>
irkttjerdin[Q)
- = 7S96 psi 4 10 E S Psi
. . FJ O BucELIN.14 .
_9' */ :7&9. Cn M00 : 2.oS 7 [THIS WAS 2 04*/.3N [i]) 53P 36000 H EM CE , THE EFFECT OF- ML .T5 TtJW(yMEFI* A /J T. . l l. s " d ROUU b bO C76 Fg.o M f4 GF 49 0F REF [ t 3, Mz =. O . listr.E , i h/ORGT CA SE E~PFe CT DOE 9 IJOT . HME St4xlAL Pnh)brM Q.
HOPPER AND ASSOCIATES i ENCINEERS l CALCULATION SHEET I
, TITLE: REbfotd6F TO COtdCE;2tJ /f DATE:/tF2 il 26, ING PACE: 7
SUBJECT:
3.D A+J ALYG.T5 BY: M 4-t. CK: A. 2, SMT: 4 OF_ ff i 3.tt D ocT ltJG SY6 T sM 4 % I(, Turs s Ys7etd cousIbrs OF 16" s 16" S dt U ARE , poc% A-fVI> 12 " 4 RO Utdb DUCT 6 19"d RoutVb Duc76 Ff-OtA Rsr [ #3, PACrg% 61 d. I S4 , FA m Ac= 12L92 L8, t4 6 56% L6 - l'J, IA .2= ';.E '2 Lo i N r = gud + F4 xi , t_. zs
+ Md
_2=- n .2 1. t
.= (GscasXiO + i2.99 + (2u.2Xis0 (um: Amu p x ns.2) z.92 c2 x ns.z) rexam
% ,,aern.]
%) ,
= 5461 psi AG A PeR esta1AGt or yrwg
.I xi co / = t s . 2. '/. (T e WA s, is. r/. ru D-0 rye H1E1JcE / THE LEFF E CT OF M. 2 12> ItJ4M /JIFIcA MT.
l6"x %" SQ UA E E TitJC% ffLOM PA&E 60 op P s- F [ Q, t{, :. O . H ytqce , vJOR67 CASE gFF ECT woe % t)O7 GyJECIE1JCE W NEA L GerJDr1JQ. i
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i - HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET , TITLE: RES Fo tdt re 70 coMce- AsJ 4 cATE: Aff t/ 2. I , 44 PAGE: $ sus)ECT: kM ALY6 Tb BY:_ M AIG_ CK: A, E. SHT: F OF f 35 6EL P w/ E I 6 44T AN AL491b ! A td A LY6E6 PRE %ErJTsd DJ TfrE PREcebDdG SECTIO tJ 6 cord 6IbgPEb BL- A YIA L M O M E/JT j ARI6IM6 00T OF 56E t-C A W id 6 OtJLY Mo , f cc tAPU TA"TI0tJ6 WEFF PREsL=f0TEb Fo R $6LF-WEEhT L- O A D It M . T H E PJ B FCAVW TH y bVG T6 LIF EM E: tdt / A L LY I4 A 6 t tJ A LE PLardF, Tut)s MotAgeJTS ; EXI6T CHIGTOLY ABOUT Ord E AxT6 OtV L Y. ! h 1 l o b
. . 1
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j . HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: PF:bFotJ6r- To cordcer4J 4 onTE: M ic21,k4 PACE: 9 Sus >ECT: 4. O CordcLU610 A1 A sY: M A k:-- CK: A.e. SHT: I OF l i C.O td CLOSIO t% ; THE eFre cT OF EIA x rA L. TAD ME4/7L WA 6 BVALVA T ED .1T WA 6 POUtJD T%T Tttf th0 MENTS tl 0 *T CDtJ S Tb ERED ttd THE~ cat cocA7torJs DotJs ItJ [1] ARE AJ bEEb tdE6rt.IGIGLE AMD e%30ce vrenvA u.y tuo swer oro me , OvegAt L- STes sez. . ! i l
. . , _ _~ . . _ . . . .._ _ _.
HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET
, TITLE: Rc6FritV6E To Co AJCEPM I4- DATE: A.P52 f t 14;l994 PACE: lD SU2 JECT: 6~ d Q F F G R f.-AlC &~ b BY: M At- CK: A . 8- SHT: 1 OF l
- l. HDffL2 M b hL O c4 A 76'z, RWOM H+ O&8T- 67to i
" swocroga< evauvarroa op nucnwo, sysrem 2 8 4 % *>y 0-b lG - l y 4 S lb - b y A+Jb A b i b ~4 ',' M AY f l, l9g ] , ;
-1 I
i - 7 i a i
~
h' ~ Attachment 5 to NRC-94-0050 HOPPER AND ASS 2CIATES ENGINEERS j DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS CONCERN ITEM NO. 6 EVALUATION CALCULATIONS - I Prepared for: Detroit Edison Company i Nuclear Engineering Fermi 2 l 6400 North DlXie Highway Newport, MI 48166 Prepared by: Hopper and Associates 300 Vista Del Mar Redondo Beach, CA 90277 April,1994
- HOPPER AND AS$3CIATES ENGINEERS CALCULATION SHEET ,
, istle: Gc e rnelu ,o cn r s cx f2 IJ (n DATE: MCI L 21 94 FACE: l sus >ect: rM Lp op am ra-refJ Tt, BY: M A1( CK: Q . fl . SMT: I 0F_ / j TA O.sLE op c 0 AJ T E ?J'T 6, l i 10 itJTP-O DVCSlo rJ l i 11 PM BLEM STATEMEVT I i I.2. ItJVE STLG ATIOrd awl'O AC44 2- I q 2.0 AtJA LVsT5 AP Pf OA C4-i 3 F.O A+JA LV f>I3 4 ! 31 E x$7:N& %JAL.Y6IL 4 3 2, Sucx t7t>6- oc ft-+yg voo g/2- BetJDIAfr
^u b TPMMews caMPF'rs.510M G l
4.O c.O tJCLUnTO !Ji= l2. 5O ReFenti;JT 5 is ! Fa.,g-PA g ed Fy, M Ad Kh NF-ic27,44 L &\llENL b 6'f : lb ?> /ntnIn A Dr 0 'lC,/99(f i eenes e - ***WEbe.P**-w m% h . - - .
. , HOPPER AND ASSOCIATES I ENGINEERS CALCULATION SHEET TITLE: PrA FDUw rh morrCrJ b DATE: A PR.!L. 2-0 , 4 PACE: I susJECT* d .O 1 tJ T ROBUCTTry.d sY: mat cK: o . (2. sHT: I OF. rk l I i 1.1 PROELEM STATE M F7d7 0fJ MARC 44 3, 1994 , TH EF \,) 6.M.R. C. bO SMIT TO Do exET IVo. 50 'St+ 1 To bsT401T EnIsoN c.p. THI'm b ocwT c.o rJ'>I6 Ts OF A- 25W0667 Fop AbbI.TIO tJAL- I M FOR.JA4710 A/ ' 0 9 FsoMI 2 ! cc HVAc- SY6 TEM bE+IG M AtJb O PEAATlotd. ItJ PAv TI c.ULAR, Tae ee Ag.s seveE4L cc,Jega,Js f REGAR blMG THE ST RUC.T U RAL. ItJT E 6rP-I.TY ! l cat.UJLA-TIOtJS > H A - 06/ t 9- 6 % Arfd D HA- o 9/r9-696, ( PEP F0 Rtd Eb BY Ho PPeR. AtJ D A% o c.IAT sb. l Tus PACE-A 6 E Pa PREPA ret A6 Rb'bf0NSE To OME OF THE C.o tAMEtJT6 Po6Ep ay Tag Nec, RE6AR bidCT WA - 05/S 6 % ., h)A*lGL Y *, l The critical stresses and moments for plates in bending i (representing the webs) did not consider the interaction i with transverse compressive loading. These critical : values may therefore be overestimated. ' l l I i 1
i
- HOPPER AND ASS 2CIATES 4 ENGINEERS '
CALCULATION SHEET l . TITLE: REs('Ofl<>p: -ro ci-)tJCFDfd (o DATE: APR I L O D f 4 PAGE: 2-I
SUBJECT:
- 1. O F M T G n D t)C_T(O d BY: MA v cx: c4 .12 sNT: % or v i.2 .TNvESTI6 A TIOd A PPRDA CJ-l l
C RI.T I.C 4L S VCE.LIAJ 6, M REM E:b C4 L-C4)LA TE b IAf l HA -05/2 % 6 tb [1] WILL BE REVIEWED . PA NEL- ! BL)dcLIMfr C RI.TERI4 E 4T A-Ps L1sH Eb AfJ.b t/6ET3 IV[1] l WILL AL60 BE REVTE web A+J.b b oc-V M E h!T e L .
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WHETHER. OR tJ 0 T' BVcKLIM C, EVA14/A7IDAl Use cc M 6 EEVA TIVE c-RI.TICA L. ST REME% WILL. ! r ss Iwve%T16 ATE _b , l i 1 i l p I e i [ i
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HOPPER AND ASSUCIATES ENGINEERS CALCULATION SHEET TITLE: T< GFhlW "M COrdC @td b DATE: APRILll,kl+ PAGE: 'iE>
SUBJECT:
2.O A hf A-L V6 T5 APPR-CA Cl4 BY: MAE CK: O.b SHT: I OF l 1 AVAILh 6LE LITE RhT ORE- WILL GEE FLG VIEWED To E VAtVNTE TWe (-RITIC-4L 4TREME5 F0/2. i I'LA'rGb t.)tJ bER. c0 MGJNED G.E=N bird (r MJL >
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T12AtJ5VER GE ccMI'REMIOrs/. TH-5bF 6 TR Wb Eb l WOULL THErd E> E" c H9cKED ACrAft/4 T THE As vMPTIOM 6, UtJDE R. WHICH Buc#LItJ dr A-flatV515 i wA6 Dowe IN [t].BA6ED Ord THES E r:Ird DIUb, IT VJILL- 9E DE7 ERMIh/ E3) W ttS7 ftETL 8 tit 4LItJCr AtJALM'il3 DDt4E JN [ t] WAS CDtJGeRVAT- n/5" I O f2. t407. ; F I i l I t b i I
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HOPPER AND ASSOCIATES i ENGINEERS l CALCULATION SHEET TITLE: E r-(: F S % rr ~ ^ *I, W 6 F F 1 (a DATE: /TP1L 2.I,94 PACE: 4
$UBJECT: ~3. O /.
- 1/. L V6I b- BY: MAk CK: O . f2. SHT: I OF I 3.1 E X MTI!d 6 A id A LY616 THE BVCkLIM6g AtJALY616 CAR. reb 007 ItJ [1] ,
k/A 6 D0 tJE NIT ++ OtJE SA GIC AssvMPT10tJ *. ; I SUcxLpJ fr OF A PA+JEL DVE TO CO M PR ELST.Dtd CAyIAt) Is MORE c.RLTI CAL. T H Ard P.3 VCEL.I tJ dT bvE To s erJbItJ & MOMENT ( Pugs BEfdbDJG . OF PAtJEL 6 RE PReserJTIrJ C, THE We%). IF IT NA 6 F o vtJ D 7 HAT AxIA1.- CO M f'RE%IOtJ Op PA+JEL6 (_ REPRE%EMTING- FMtJ6 E%) h/A 6 L-NR crE ewo06H To cA06E' FLVCK!-IhJ 4, THE WE% PAtJEL 6 WERE co tJ sERVATIv'6LY A G6V MED TO B6 i ItJEFFECTIV E N cMRYItJ6 A+JY WA-b, MAXIMUM PANEb sTREME5 - WERE 'T H EtJ EE\/A LUA'1Eb B46Eb I O tJ THrb NVtAPTI-6 /J. TPI5 A650MPTI0tJ w/A 6 GN2ED Old THer FAC.T 'Tt+/rT CRIT II.AL- f6 V cg L1/J(q-STF. E55 Fo R PerMew Utd.bE@-. Pune etuPReurotJ i I"> J4 of THE MITICAL STRE4 5, PdR FAfJEl. c ! l vu Def-. FURE (2<WDDJ CT(sEE (%CrGL 62 4 6 6 0F [_i]). l
. . HOPPER AND ASSOCIATES [ ENelNEERS i CALCULATION SHEET l TITLE: RE'44 rJu= h co tJcFPA) (o nATE: AFRau 2J>[% Pace: 5 ! SURJECT: AllALYt3T6 sy: M h1C CK: /'4. E . SMT:_ 7. OF $ [
- 3. Rormagular pime onder innady vary. Sa. AD edge e.mply unp- , , , , E /# j' i ang euem en edge 6 (bending er pened IyaI6/
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=
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N O.7)
K e 23.9 15,4 10.6 19.7 I V.h 9.5 20.1 9.2 21.9 28.1 9.9 9.5 1.00 12.4 3.0 6.9 6.7 4.4 4.9 ! 9.t$ 10.95 6.8 5.8 5.7 54 Sm I 50 R.9 5.3 5.0 4.9 4.8 90 l so (p.n, ,,ee .nl 6.ws 4.23 s.45 3.29 G j (nen.. I. 4,
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THE A B OVE TA ELE, T A k E'bj i 9.-O M [4] , AL60 b e .A 0 t> 6 7 F A T E L 7Hf= FAC7 m tA-T ISUcKLIU& OP FL&Te2:, vudsu Pv(te dom PttEMIOM B MORE cEITICAL TFWrtJ UtJ rze. N g.s- G,su bDJ & . ( Pol 2. [ cC - O . s ( f d R E: bEhJ bIMG) , K = 19 8 , VJ HER E% Fo R. > ot
- N (Pope GouPRE%I0tJ) , K= 3 67 M THE l cu.s anene %=i d. :
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- HOPPER AND ASS 8CIATES ENGINEERS CALCULATION SHEET TITLE: QESPdtJ6Lr 'To co tJc EP-tJ 6 DATE: Af52. lL 2. l . It PACE: 7
$UBJECT: 4tJ aim 6.T% av: M A t ex: 6. f. SHT: C~ OF T At40, FD(L lit x ll+" PApJEL , L = 2. \
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We THsPEFoFE TUP-N To PEF [.33 VJttICH Cr1VEb TraTeRAc.TIotJ c0RNe5 Fog. Ft47eb U/J B E42. c0M BrN ED t.o ADIT 4 4. FIG VR E- % 2. I OtJ Tl+ e ^ % L T P^sw s HovJs THg hfPGTcArsLE conger.
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O .'2 1.0 Ar (g) a/b = = - Interaction Curves for Flat Rectangular Plates Under Combined Biaxial-Compression and Longitudinal-Bending Loadings 6 - 78 Fi ct. L2 1 [FROM((
. . HOPPER AND ASSSCIATES ' ENGINEERS CALCULATION $HEET TITLE: REr6PotJ6E 70 cotJCETd' (o caTE: AFE 28, ' 94 Pact: ID I sus;Ect: A+JAL.Y6E sy: MArtt ex: (A . C . SHT: 7 OF ( UbEi
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ENCINEEitS CALCULATION SHEET , TITLE: h PO Nse: To co0cepia (o care: @p_tc.2.1,k4 pace: Pl susJEci: AO ujuCLV610 06 sy: M A-e., cg: n,0 sny: g op_ l cD M CL-V6TO US THE EFecT OF- TRatJsveRss coupatassroAJ os) pat /EL6 (_ ge:PAESE1JTItJCir THE alEb)IO BetJb7MG 1+A6 BeEO IN Vf6714kTEb. IT WM, !=c UtJD TRA-T THE AsSUMPTI0tJ5 0IJ b EP-- WWIcH 4fJkt-Y6E61hl [i] weee= csaRzen 007 w ev-e Iraeet> cotasaWAnve; SIWE LT WA6 E G748L-I6 HED 'T HW7 AXIAL GoMFRE G410 tJ oP TH-E P4fdGl 6 12, pops c-/2I.TICAL T PM BE7dDf tJQ coM6TAJE:D WITFt T R A ts'$ v'E R '., E' c.O M P (2F6 sIo A/. I-N h L- 4 FG. OI: A,s Acy sr. Irv Ei], sucatJorr dos To 4x.rrt_- t-o41mJdr
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. . HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET i EE' D' 1 F ~ ~) CD'IT CiI (4 TITLE: DATE: /+PE IL 2 l,19% PACE: !%
$UBJECT: 5 O I E 7 8' 1: t _ f ' ? ', _ BY: mat CK: Ca 8. SHT: 1 OF J .
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Attachment-6 to
- NRC-94-0050 HOPPER AND AS$2CIATES +
ENGINEBtS ' DECO - USNRC DOCKET NO. 50-341 FERMI 2 CCHVAC DUCTING SYSTEMS '; CONCERN ITEM NO. 7 EVALUATION CALCULATIONS ! { i i t i f Prepared for: Detroit Edison Company Nuclear Engineering Fermi 2 6400 North Dixie Highway ; Newport, MI 48166 ' Prepared by: Hopper and Associates i 300 Vista Del Mar , Redondo Beach,CA 90277 l April,1994 l I
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HOPPER AND ASSOCIATES .- ENGINEERS CALCULATION SHEET TITLE: C'rfh G' TU /otJrnt ed Y DATE: /*9f l6 '9Y PACE: [
SUBJECT:
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l 1 HOPPER AND ASSOCIATES I ENGINEERS i CALCULATION SHEET TITLE: Rc* po a.sr 7D forJ a J ~J- DATE: N'ett;. 9V
. PACE: / '
SUBJECT:
lo IN TI <>ou c n o J BY: l-l / CK: A.E SHT: / OF R l l.O _IN TTE.c b) CT10 I. I PILc 6Lc v1 S rrtTL-m mi C tl MMCM 3,19 94, T c' )S tJ R.C 9 Sugar.~n p Dog xc7 up. SD - 34/ TT be7to'-- Gde sJ Co'vr N V, ng -;. ;.x 00c(ET ! coas s-s u- Mca:.rs rce ha m.ML inrc o. e re,J BGV
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e s. P.'ex.+s i" ic rrgo<9 73 ces/o-o 73 com a. . rJ No. V .- t i The calculation of the edge membrane and bending , stresses in panels did not include the seismic inertia i loads acting on the panels. f i f i i i k p i i 9 h e
I HOPPER AND ASSOCIATES > ENCINEERS i CALCULATION SHEET ! , TITLE: ' ~ 'u 4 Gf YD (O~ te .c . * -7 DATE: d/2411. PACE: 2.
$UBJECT: 10 /N772O Duhl BY: L L.V CK: A.R SMT: 7- OF_ Z. !
l 1 i lZ /NVEj~7&/2 7tord /-ff.0/CY - THE Mh<inivat Pardit S/2C la ttL. F icssue~cd, UD Ov*rmFY 7"h'r' /tvAvost AhJct. Fat:'tfotrJLY, 7F TNELFtz.sucq WltL 70 f.omeb24:7) 10T'MC 5%TE'M SctDochtL9 3 Nb T11t Acru4t ! I"'C4CLccJrT1o s5 vatyr ' 6f Evtt.vM~D fton1 CCNOME l S/e CT!M , T!1l lNettnA1 fp/tcf asi.t C( (.cm /*M@ 7D
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. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TifLE: fa tre>~M "? (O*aC4 t a 7 DATE: MC e L 9M PACE: 3
$UBJECT:Jo .5 YJTim Dr5 c rz t #770 d BY: /LV CK: A P_ SHT: / OF J
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TYPE I DUCTWORK RECTANGULAR DUCT - GALVANIZED. OR STAINLESS STEEL Duct Seom Seem Stiffener
' Transverse Joint Between Joints Remort Size Sec.
Ronge Met. Ipth. Longitud- Angle Tie Angle Tie Max. Side Go. Mox . Inot Type Size Rods Size Rods' Companion " 0 "- 12 " 18 60" Brazed Anote 15 "x13 "xl" No See Note #1 No Companion M 13"-30" 18 60" Rozed
- Angle 15"x1$"x1/8" 1 $ "x15"xI
- No @2 '-6"O. C. No Co onion li"xis"x1/8" 31"-36" 18 60" &ozed Ann 7e 15 "x15 "x3 " No @2 '-6"O. C . No 37"-48" Companion ll"xis"x ll"xli"x1/8" '
18 60" Brezed Annie 3/8" Yes @2 '-6"O. C . Yes Componion 1f"x1j"xt/8" 49"-60" 1f"x13ax 18 48" Brozed Anole 7 /a " Yes Yes
@2'O/C.
Companion 2 "x2 "x 61 "-90 " 16 48" Brozed 2"x2"x3/16" Anole 3/16" Yes 82 'O. C. Yes Componion 2"x2"x 91 "- 9 6 " 14 4R" Brer ed 2 *x2"x3/16" Angle 3/16" yes win c yes Companion 2 "x2 "x Yes yes 97"- Up 14 4Ba Brozed Angle 3/8" ' 4 @48" 2"x2"x3/16" 1 48 Notes: 1. Tronsverse Joints are at intervals such shot stiffening between joints is not required. 2 All round fillings to be two gauges leavier than duct (18 go. duct = 14 go. fittings) (16 go. duct 12 go fittings) (14 go. duct 10 go. fittings). TP Gt.2 2,\ b>C 7"* S' ES i
HOPPER AND ASSOCIATES j ENGINEERS , I CALCULATION SHEET ! TITLE: Ot%4F T (OvCt c 4 % DATE: Aff1b 9Y PACE: Y
SUBJECT:
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_m . _ ~_ _. _. _ . HOPPER AND ASSOCIATES ENCINEERS CALCULATION SHEET 4 TITLE: f6T6)r45f '/D (w4tt .rri V DATE: /FDL. 9h PACE: 5~
$UBJECT: 3. o AN av.56 ANtoMJ/ BY: lL/ CK: A E. SHT: / OF 2 ,
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- NOPPER AND ASSOCIATES l ENGINEERS 'I CALCULATION SHEET t
. TITLE: RESPordif an roatm a 7 DATE: Mrt i t. '9 PACE: b
$UBJECT: S C) AJAL %t5 #9f*C( d BY: 'LLV CK: A,E SHT: 2 OF 2.
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. HOPPER AND ASSOCIATES ENGINEERS CALCULATION SHEET TITLE: RC I#mJfr TD (oN W 4 7 DATE: A#4>L. 9V PACE: 7
SUBJECT:
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~ TITLE: k RPfh)U- "TD cotJCKF tl 7- DATE: #AfL 7 6 % PACE: '3
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E-W DIRECTION N-S DIRECTION ' FREO,Hz E-W EO., in N-SEO.,in SRSS,in ACCEL,g E-W EO., in l N-S EO., in SRSS, in ACCEL., 0 10.95 0.0G9 0.0055 0.069218856 0.847909803 0.0028 0.00022 0.00280863 0.034404853 15.437 0.0017 0.0024 0.002941088 0.071602941 0.000017 0.000024 0.00002941 0.000716029 15.636 0.0094 0.000055 0.009400161 0.234792172 0.0003 0.0000017 0.000300005 0.007493359 17.351 0.011 0.0023 0.011237882 0.345645178 0.00091 0.00018 0.000927631 0.028531293 21.275 0.0018 0.0038 0.004204759 0.194436265 0.000077 0.00016 0.000177564 0.008210909 34.24 0.000015 0.000033 3.62491E-05 0.004341724 0.000085 0.00019 0.000208147 0.024930661 39.306 0.000008 0.000032 3.29848E-05 0.0052063 0.00008 0.00032 0.000329848 0.052062995 41.965 0.00003 0.00006 6.7082E-05 0.0120G9179 0.00042 0.0009 0.000993177 0.17868907 48.211 0.000025 0.0001 0.000103078 0.02447675 0.00026 0.001 0.001033247 0.245354238 51.245 0 0.000006 0.000006 0.001609723 0 0.00003 0.00003 0.008048617 . 60.662 0.00000006 0.00000001 6.08276E-08 2.28682E-05 0.00005 0.00001 5.09902E-05 0.01916978 ACCEL, g*S = 1.742112902 ACCEL, g'S = 0.607611805 1 i m __ cp r-TAB LE4.2.L DUCTING SYSTEM 4316-1: MAXIMUM ACCELERATION OF NODE 22 (SSE) D 1 N__-__----------------------- - - - - - - - - - - - - - - - - ~ ~ - - - - ~ ' ~ * - - ' ~ ~ ' ~ ~ ' ~
E-W DIRECTION N-S DIRECTION FREO,Hz E-W EO., in VERT. EO., IN N-S EO., in SRSS, in ACCEL,g E-W EO., in VERT. EO., in N-S EO., in SRSS, in ACCEL,9 d 8.7587 0.00749 0.0000525 0.000755 0.00752814 0.05900162 0.0168 0.000118 0.00169 0.0168852 0.13233738 9.6804 0.00241 0.000014 0.000152 0.00241483 0.02311905 0.00291 0.000017 0.000184 0.00291586 0.02791582 12.744 0.000102 0.0000285 0.0000609 0.00012217 0.00202706 0.00491 0.00117 0.00251 0.00563712 0.09353317 20.376 0.0003 0.000057 0.00187 0.00189477 0.08036947 0.00195 0.00037 0.0121 0.0122617 0.52009864 21.226 0.000175 0.000026 0.000139 0.00022499 0.01035626 0.000811 0.000119 0.000647 0.00104427 0.04806671 25.591 0.00739 0.000014 0.00189 0.00762787 0.51035783 0.00059 0.00000112 0.00015 0.00060877 0.04073099 36.116 0 0.0000196 0.000159 0.0001602 0.02134854 0 0.000007 0.0000569 5.7329E-05 0.0076396 42.59' O.00038 0.00000844- 0.0000336 0.00038158 0.07071202 0.000137 0.00000303 0.0000121 0.00013757 0.02549327 49.274 0 0 0.000171 0.000171 0.04241591 0 0 0.00004G4 0.0000464 0.01150935 63.743 0.000013 0 0.00000456 1.3777E-05 0.00571877 5.55E 07 0 1.94E-07 5.8793E-07 0.00024405 75.022. 0 0 0.0000372 0.0000372 0.02139032 0 0 0.0000728 0.0000728 0.04186062 87.544' O O 0.00000478 0.00000478 0.00374264 0 0 0.00000106 0.00000106 0.00082996 100.57 0 2.37E-07 0.00000216 2.173E-06 0.00224536 0 0.0000003 0.00000276 2.7763E-06 0.00286876 ACCEL g'S= 0.85280485 ACCEL g*S= 0.95312831 i , l l l l l 1 o ot d\ - TABLE 4.2.2. DUCTING SYSTEM 4316-7: MAXIMUM ACCELERATION OF NODE 715 (SSE) 0 l
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