ML13311A407
| ML13311A407 | |
| Person / Time | |
|---|---|
| Site: | San Onofre  |
| Issue date: | 07/31/1985 |
| From: | ABB IMPELL CORP. (FORMERLY IMPELL CORP.) |
| To: | |
| Shared Package | |
| ML13311A408 | List: |
| References | |
| 01-0310-1413, 1-310-1413, NUDOCS 8508060256 | |
| Download: ML13311A407 (50) | |
Text
SUPERPIPE VERIFICATION TO BENCHMARK PROBLEMS FOR MULTIPLE RESPONSE SPECTRA METHOD Prepared for:
Office of Nuclear Reactor Regulation U. S. Nuclear Regulatory Comission Prepared by:
Impell Corporation Walnut Creek, California 94598 Impell Report No. 01-0310-1413 8508060256 850802 PDR ADOCK 05000206 P
IPELL CORPORATION REPORT APPROVAL COVER SHEET Client: Southern California Edison Project: Superpipe Benchmark Job Number: 0310-054-1355 Report
Title:
Superpipe Verification for Multiple Response Spectra Method Report Number: 01-0310-1413 Rev.
0 The work described in this Report was performed in accordance with the Impell Quality Assurance Program. The ignatures below verify the accuracy of this Report and its compliance with appl ab e quality assurance requirements.
Prepared By:
Date Reviewed By:
Date I /
/L5 Approved By:
Date _
_/
REVISION RECORD Approval Rev. No Prepared Reviewed Approved Date Revision 0I
TABLE OF CONTENTS Page
1.0 INTRODUCTION
1-1 2.0 SUPERPIPE PROGRAM DESCRIPTION 2-1 3.0 PROBLEM DESCRIPTIONS 3-1 4.0
SUMMARY
OF RESULTS 4-1
5.0 CONCLUSION
S 5-1
6.0 REFERENCES
6-1 7.0 SUPERPIPE COMPUTER RUN 7-1 REFERENCES APPENDIX A: COMPARISON OF RESULTS AO-1 BETWEEN SUPERPIPE AND PSAFE2 Problem 2 Al-i Part A Part B Part C Problem 4 A2-1 Part A Part B Part C
1.0 INTRODUCTIOU This report presents a comparison of analysis results obtained using the SUPERPIPE computer program against benchmark results published by the Nuclear Regulatory Commission (NRC). The comparison was performed in accordance with the NRC request for additional verification of computer codes used for analysis of nuclear piping systems. The verification specifically addresses the multiple level response spectrum method of dynamic analysis used in seismic qualification of nuclear piping. The benchmarks published by the NRC are performed with the program PSAFE2 and consist of solutions for four sample problems.
Two of the four problems are reviewed in this comparison (1).
SUPERPIPE is an Impell Corporation proprietary computer program (3).
SUPERPIPE has comprehensive capabilities for piping stress analysis and code ompliance in accordance with ASME Section III for Nuclear Power Plant Components. The verification was performed using version 17A of SUPERPIPE, dated 6/12/84. The verification against NRC benchmark results is supplemental to the extensive program verification previously performed in accordance with the Impell Quality Assurrance Program (4).
A brief description of the SUPERPIPE program is given in Section 2.0. Section 3.0 provides a description of the benchmark problems and notes on modeling methodology, coordinate systems and format of results necessary to directly compare SUPERPIPE and NRC results. A summary of the comparison of results is given in Section 4.0, and conclusions are drawn in Section 5.0. Appendix A contains a description of each problem along with a comparison of SUPERPIPE and NRC results for that problem. As indicated by the Summary of Results in Section 4.0, and by the comparisons in Appendix A, the comparisons between SUPERPIPE and NRC results are very good.
2.0 SUPERPIPE PROGRAMl DESCRIPTION SUPERPIPE is a general-purpose computer program which performs comprehensive structural analyses of linear elastic piping systems for arbitrary static, dynamic, and time history loading conditions.
Analyses are performed to ASME Section III Code requirements for Class 1, 2, and 3 piping systems.
The program has various features for user ease in defining the piping system. Some examples of such features are:
A large number of sophisticated nodal coordinate generation options, enabling the user to accurately represent complex geometric con figurations.
- A program library of standard pipe properties and code-specified quantities, such as pipe diameter, wall thickness, stress indices, stress intensi fication factors, and flexibility factors.
- A program library of standard material properties based on the ASME Code, such as moduli of elasticity, coefficients of thermal expansion, allowable stresses, and fatigue parameters.
Automatic generation of mass points along pipe members based on frequency criteria.
- A large number of element types that may be used in any combination, such as straight pipe, curved pipe, valve, general beam, flexible coupling, and arbitrary stiffness matrix.
Other user-oriented features include an extensive set of diagnostic error and warning messages, and the capability to plot both the pipe geometry and dynamic mode shapes.
In the analysis phase of the program, static or dynamic equilibrium equations are formulated using the direct stiffness method. In this method, the element stiffness matrices are formed according to virtual work principles and assembled to form a global stiffness matrix for the system relating external forces and moments to joint displacements 2-1
2.0 SUPERPIPE PROGRAM DESCRIPTION and rotations. Six degrees of freedom may be specified at each joint of the global system for both static and dynamic analyses.
Static equilibrium equations are solved using Gaussian reduction techniques on the compacted stiffness matrix. For dynamic problems, the equilibrium equations may be solved using either step-by-step direct integration of the coupled equations of motion, or by first calculating natural frequencies and mode shapes and transforming the system into a set of uncoupled equations of motion.
Natural frequencies and mode shapes may be calculated by subspace iteration or Householder-QR.
In response spectrum analyses, SUPERPIPE contains a method of including the aggregate effect of modes above the cut-off frequency that are not computed in the eigenvalue solution. This method, called the "missing mass correction," applies the spectral acceleration corresponding to the cut-off frequency to the mass at each node point not participating in the computed modes. The resulting forces and displacements are treated as results from an additional mode at the cut-off frequency in the modal combination.
For ease in reviewing results, the output of SUPERPIPE is arranged in stress report form, with special summaries for Code compliance, support loads, break location evaluation, maximum stresses, attachment point stresses, flexible connections, displacements, etc.
In addition to the basic capabilities for performing dead weight, thermal expansion, seismic response spectrum, and anchor movement analyses, SUPERPIPE offers a number of more sophisticated analysis features for specialized piping analysis speci fications. These include:
- a. Analysis with multiple response spectra for piping supported at numerous levels and, therefore, subject to independent excitations (different spectra) at each level.
2-2
2.0 SUPERPIPE PROGRAM DESCRIPTION
- b. Modal superposition or direct-integration techniques of time history analysis for shock loads associated with such events as steam hammer and water hammer effects in piping systems, or other arbitrary force time history loadings.
- c. Analysis with multiple earthquake time history records for situations in which a piping system is subjected to independent motions at each support, and in which the effect of phase relationships between these motions is important.
The program has been thoroughly tested and verified for a comprehensive set of sample problems, including extensive comparison with several publicly available programs and ASME benchmark problems. All veri fication analyses have been documented in accordance with established Impell Quality Assurance procedures (4).
2-3
3.0 PROBLEM DESCRIPTIONS Two benchmark problems form the basis for this verification effort. These problems are assumed to exhibit linear elastic behavior. Both problems are subjected to dynamic loading as follows: 1) uniform excitation; 2) independent excitation with SRSS combinations.between support groups; and 3) independent excitation with absolute combinations between support groups. Interspatial combination was performed using SRSS and intermodal combination was performed using the grouping method in accordance with Regulatory Guide 1.92 (2).
It is important to note that the order of combination between PSAFE2 and SUPERPIPE is different. PSAFE2 employs support group combination first (independent excitation only) followed by interspatial combinations and then intermodal combinations.
SUPERPIPE combines groups first, then modes, and finally directions. This difference will account for some discrepancies in the results.
In order to facilitate the verification of SUPERPIPE against the two benchmark problems, every effort was made to exactly duplicate the benchmark models. This required overriding some of the automatic features in SUPERPIPE. Some of these features include:
coordinate generation options, standard section properties, standard material properties, automatic mass point spacing, and missing mass correction.
Supports are considered as spring members at supported nodes in SUPERPIPE. FoU"rigid" supports, stiffnesses of 101 0kip/in and 10 Okip-in/rad are assigned by the program. The stiffnesses used for "rigid" supports in the PSAFE2 analyses could not be ascertained from the information provided. For stiffness values less than rigid, the PSAFE2 stiffnesses were exactly duplicated in the SUPERPIPE analyses.
Some additional data points, such as tangent intersection points (TIP's) and reference points (RFP's), were utilized to describe SUPERPIPE geometries for the benchmark problems. SUPERPIPE requires the specification of TIP's to fully describe elbows or bends. In both of the problems, RFP's were used to define the direction of supports.
Neither 3-1
3.0 PROBLEM DESCRIPTIONS TIP's nor RFP's are considered part of the piping system and, as such, do not have forces and moments associated with them. Otherwise, the SUPERPIPE point specification is consistent with that of the PSAFE2 sample problems.
A complete description of SUPERPIPE's local coordin ate system is shown in figures 1 and 2. Since the benchmark results are for response spectrum analyses, the member forces and moments obtained from the SUPERPIPE output and the PSAFE2 are absolute values (signifying both positive and negative results are possible).
Also of note are the occasional differences in signs of the mass participation factors between the SUPERPIPE results and the PSAFE2 results. The signs of the mass participation factors result from the arbitrary selection of each eigenvector during the eigenvalue computation. It is important, only, that the signs of the directional mass participation factors within each mode are consistent or exactly opposite between the SUPERPIPE and PSAFE2 results.
3-2
3.0 PROBLEM DESCRIPTIONS Figure 1 Towards end SUPERPIPE Coordinate system of run For Straight Pipe x
z LOCAL x and GLOBAL Y z
z Define the LOCAL x-y Fy Plane.
NODE i Mx POSITIVE FORCES AND MOMENTS WITHIN A PIPE RUN FX F
My Mz Fz NODE i z
Towards End of Run LOCAL Y is Parallel to GLOBAL X POSITIVE FORCES AND MOMENTS WITHIN A VERTICAL PIPE RUN 3-3
3.0 PROBLEM DESCRIPTIONS Figure 2 SUPERPIPE Coordinate System For Curved Elements and Misc. Members z
NODE Towards End of Run Fx*
MY Mx Center of MF F Curve z
POSITIVE FORCES AND MOMENTS ON CURVED ELEMENTS NODE j NOEi zj Fzj Mxj Fxj M
Fy F
z M
~
~
x F
Mxi y
Myi POSITIVE FORCES AND MOMENTS ON MISCELLANEOUS MEMBERS 3-4
4.0
SUMMARY
OF RESULTS This section summarizes the comparison of SUPERPIPE analysis results against the PSAFE2 analysis results. The comparison is detailed in Appendix A for both of the benchmark problems. In Appendix A, mode frequencies, mass participation factors, nodal displacements, and member forces and moments are extracted from the SUPERPIPE computer outputs and compared to the corresponding PSAFE2 results.
The average percentage differences from the comparisons in Appendix A are summarized in Table 4-1 of this section.
As shown by this summary, the SUPERPIPE results are in good agreement with those contained in the PSAFE2 sample problems.
The average differences for each of the following components of the solution are shown below:
Mode frequency
= 0.06%
Node displacement
= 2.93%
Member forces
= 2.64%
Member moments
= 2.79%
4-1
4.0
SUMMARY
OF RESULTS TABLE 4-1 Summary of Average Difference in Results Dynamic Properties (%)
Response Spectrum Results (%)
(3)
Mass (1)
Problem Mode Participation Node(2)
Member(2) Member(2)
No.
Frequency Factor Displacement Forces Moments 2A
.06 1.08 1.87 1.05 1.53 2B
.06 1.08 2.78 2.19 2.73 2C
.06 1.08 3.34 2.30 2.93 4A
.06 0.98 5.14 5.30 5.26 4B
.06 0.98 2.26 2.60 2.35 4C
.06 0.98 2.17 2.40 1.95 NOTES:
(1) The percent difference in mass participation factors (MPF) were computed by dividing the difference in each directional component MPF by the maximum component MPF for each mode.
(2) The SUPERPIPE output is fixed-format; translational displacements are given to 3 decimal places, rotations to 5 decimal places, and forces and moments to 2 decimal places. In PSAFE2, results are given in scientific notation, with 6 significant figures for displacements and 4 significant figures for forces and moments. Therefore, to avoid percentage comparisons of small numbers where only 2 significant figures are available in the SUPERPIPE OUTPUT:
- a. For problem 2 (A, B and C) diplacements less than.01 in. and rotations less than.0001 rad. were not considered.
- b. For problem 4 (A, B and C) displacements less than.lin. and rotations less than.001 rad. were not considered.
- c. Forces less than 1 lb. and moments less than 1 in. lb. were not considered.
(3)
Problem nos. 2A, 2B, 2C and 4A, 4B, 4C represent results based on (A) envelope spectra, (B) multiple excitation with SRSS combination and (C) multiple excitation with absolute sum combination between groups respectively.
4-2
5.U CONCLUSIONS Impell's proprietary program, SUPERPIPE, has been verified against results for the two NRC Benchmark Problems. This verification covers dynamic analysis for independent support excitation utilizing multiple level response spectrum. The computer outputs themselves stand as the definitive description of the modeling methodology and the results for each problem.
There is good agreement between the SUPERPIPE results and those published by the NRC even though loads are combined in different sequences.
This demonstrates the accuracy of results obtained when using SUPERPIPE for multiple response spectrum analyses.
This report will be incorporated into the SUPERPIPE verification files maintained by Impell as part of the Impell Quality Assurance requirements(4 ). These verification files contain other benchmark problem comparisons and hand calculations carried out to assure the accuracy of SUPERPIPE calculations.
5-1
6.0 REFERENCES
(1) "Benchmark Problems No. 2 and 4," Transmitted 5/13/85 (via DHL Courier, Airbill No. 69600204) from Thomas Cheng of the U.S. Nuclear Regulatory Commission, to Mark Swatta of Impell Corporation.
(2) "Combination of Modes and Spatial Components in Seismic Response Analysis", Re ator Guide 1.92, U.S. Atomic -Energy Comsiort of Regulatory Standards, Revslon I, Iebruary 19/b.
(3) SUPERPIPE Users's Manual Version 17A, Dated 06/12/84, Impell Corporation.
(4) Impell Quality Assurance Manual, Revision 16, Impell corporation.
6-1
7.0 SUPERPIPE COMPUTER RUN REFERENCES The following list describes the computer run references for the verification. Complete copies for these runs are contained in the Impel1 Western Region Records Center.
Prob #
Date
/
Time 2A 85/05/30.
09.38.08.
2B 85/05/30.
10.06.25.
2C 85/05/30.
10.07.16.
4A 85/05/30.
08.54.05.
& 85/05/30.
13.32.57.
4B 85/05/30.
16.23.32.
4C 85/05/30.
19.05.33.
7-1
SUPERPIPE Verification Page AO-1 APPENDIX A This section details a comparison of analysis results selected to demonstrate the accuracy of the SUPERPIPE analyses. Included in the summay for each problem is:
- 1. Problem description.
- 2. System geometry plot.
- 3. Dynamic properties comparison tables, comparing frequencies and mass participation factors (MPF) for all modes of each analysis.
- 4. Results comparison tables, comparing displacements, rotations, forces, and moments at selected nodal points.
SUPERPIPE Verification Page Al-i Benchmark Problem # 2 Model:
Simple three-dimensional bend with additional run.
No. of Nodes: 21 No. of Modes: 25
Al-2 Y
Z x
3 ITR BENCH-MARK PROBLEM N' 2 S1
PROBLEM NO. 2 Al-3 DYNAMIC YRUPlERE~SUMPARISON Mass Mode Frequency (cps)
Participation Factor No.
SUPERPIPE NRCc Difference SUPERPIPE NRC *
)
1 9.355 9.360
.05%
x
-.0318
.0312 Y
.0022
-.0022 z
-.0308
.0302 2
12.699 12.706
.06%
X
-.0080
-.0078 Y
-.0580
-.0569 Z
.0014
.0014 3
15.369 15.377
.05%
X
-.00465
.00464 Z
.0071
.0070 4
17.787 17.797
.06%
X
-.0064
-.0063 Y
-.0071
-.0070 Z
-.0016
-.0016 5
21.591 21.603
.06%
X
-.0147
-.0144 Y
-.0009
-.0009 Z
-.0246
-.0241 6
25.084 25.098
.06%
X
-.0042
-.0041 Y
.0030
.0029 Z
-.0423
-.0415 7
32.017 32.035
.06%
X
.0071
-.0070 Y
-.0075
.0073 Z
-.0148
.0146 8
38.048 38.069
.06%
X
.0034
.0033 Y
.0001
.0001 Z
.0035
.0034 9
40.270 40.293
.06%
X
.0260
-.0255 Y
-.0006
.0006 Z
-.0133
.0131 10 48.870 48.898
.06%
X
.0144
-.0141 Y
.0069
-.0068 z
-.0051
.0050
- The modal participation factors given in the NRC publication were divided by g (the acceleration of gravity, 32.2 ft/sec2) to obtain the mass participation factors as given by SUPERPIPE.
IS
PSAFE2 BENCHM"ROBLEM NO. ZA RESULT ARISO QUANTITY y
-AFE UERIEzPA NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 1 1
Rotation 0
0 0
0 0
0 (x.001 rad)
(1)*
(11)**
Local Force 66.84 66.53 94.07 93.20 181.76 178.8 (lb)
Local Moment 5.22 5.11 16.68 lb.36 7.15 7.03 (x 1000 in lb)
Displacement
.48
.475
.17
.170
.64
.630 (x.10 in) 5 4
Rotation
.76
.739 1.67 1.635
.49
.478 (x.001 rad)
(SR)*
(51)**
Local Force 89.25 89.12 49.09 48.53 101.16 101.1 (lb)
Local Moment 2.26 2.22 6.54 6.41 1.99 1.96 (x 1000 in lb)
Displacement
.48
.475
.34
.332 0
0 (x.10 in) 7 6
Rotation
.63
.622 1.93 1.892
.45
.456 (x.001 rad)
(7L)*
(6J)**
Local Force 110.20 109.9 36.90 36.68 109.68 109.6 (lb)
Local Moment 2.26 2.22 7.73 7.64 2.16 2.12 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and moments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
Al-4
PSAFE2 BENCHMARK P tEM Nu. 2A (Lont'd NODE MEMBER COMPARED SUPLRPIE PSAFEZ SUPERP~PE P=AFE SUPERPIPE PSAFE2 Displacement 0
0
.32
.311
.64
.63 (x.10 in) 6 61 602
.36
.356 9
9 Rotation
.42
.41 6
0 (x.001 rad) 1 55.21 54.48 396.21 391.9 (9R)*
(91)**
Local Force 651.04 639.
(1b) 2.06 2.02 20.95 20.53 2.55 2.50 Location of Local Moment Maximum Moment (x 1000 in lb)
Displacement
.38
.374
.17
.165
.65
.633 (x.10 in).7.693938 13 12 Rotation
.18
.178
.71
.699
.39
.385 (x.001 rad)15.7121103 185 (13L)*
(12J)**
Local Force 391.56 384.7 154.67 152.1 120.23 118.5 (lb)
Local Moment 2.92 2.87 6.48 6.42 2.54 2.50 (x 1000 in lb)
Displacement
.49
.477 0
0
.41
.402 (x.10 in).8.868583 (16)
(16)
Rotation
.64
.627
.88
.866
.85
.831 (X.001 rad) 6.46.1154
- 0.
(16R)*
(161)**
Local Force 201.25 198.6 61.94 61.61 105.46 103.9 (ib)
Local Moment 0
0 5.69 5.61 3.34 3.33 (x 1000 in lb)
Displacement
.29
.285
.19
.186
.65
.633 (x.10 in) 12 17 Rotation
.19
.184
.5b
.573
.40
.391 (x.001 rad)
(18)*
(171)**
Local Force 248.24 245.9 255.54 251.0 277.40 275.7 (lb)
Local Noment 3.13 3.07 9.78 9.75 2.08 2.06 (x 1000 in lb)
Al-5
rSAFE2 btCHMARK P LLM NO.
ZA (Cont'd)
RESULT PARMFSO QUANTITY X
y L
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement
.29
.285
.34
.329
.18
.181 (x.10 in) 19 19 Rotation
.34
.338
.65
.642
.13
.125 (x.001 rad)
(20R)*
(191)**
Local Force 344.90 343.8 246.81 245.1 175.10 171.8 (lb)
Local Moment 3.13 3.07 4.05 3.98 4.69 4.67 (x 1000 in lb)
Displacement 0
0 0
0 0
0 (x.10 in) 21 20 Rotation 0
0 0
0 0
0 (x.001 rad)
(22)*
(20J)**
Local Force 247.33 245.6 196.89 193.6 379.18 378.1 (lb)
Local Moment 2.37 2.32 16.65 16.61 11.40 11.18 (x 1000 in lb)
A1-6
PSAFE2 BENCI PROBLM NO.
Zb MULTIPLE EXCITATIO0RSS CO4B. OF GROUPS QUANTITY X
NODE MEMBER COMPARED SUPERPIPEX PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in)
I I
Rotation 0
0 0
0 0
0 (1)*
(11)**
Local0Force 48.50 47.17 57.22 56.10 116.79 113.9 (lb)
Local Moment 3.33 3.23 10.66 10.35 4.37 4.24 (x 1000 in lb)
Displacement
.30
.295
.11
.109
.41
.399 (x.10 in) 5 4
Rotation
.48
.469 1.07 1.03
.32
.308 (x
.001 rad)
(SR)*
(51)**
Local Force 47.99 48.03 35.40 34.24 64.79 64.73 (lb)
Local Noment 1.48 1.43 4.20 4.07 1.16 1.13 (x 1000 in lb)
Displacement
.30
.295
.22
.213 0
0 (x.10 in) 7 6
Rotation
.41
.396 1.24 1.20
.29
.283 (x.001 rad)
(7L)*
(6J)**
Local Force 61.43 61.42 25.40 24.57 69.95 69.82 (lb)
Local Moment 1.48 1.43 4.99 4.90 1.45 1.41 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and moments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
Less than.01 inch or.0001 radian.
Al-7
rjtFE2 oLrCHMAnK PR LM NO. e8 (Lont'd)
RESULTS ARIS ON MULTIPLE EXC A ON SS OMB.
OF GROUPS QUANTITY X
V_
z NODE MEMBER COMPARED SUPERPIPE PS=AFE SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0
.20
.194
.41
.398 (x.10 in) 9 9
Rotation
.28
.275
.26
.256
.22
.211 (x.001 rad)
(9R)*
(91)**
Local Force 404.93 393.3 38.63 37.36 200.09 195.1 (lb)
(Location of Local Moment 1.39 1.35 13.29 12.89 1.63 1.58 Maximum Moment)
(x 1000 in lb)
Displacement
.18
.178
.10
.098
.41
.400 (x.10 in) 13 12 Rotation
.11
.110
.46
.443
.24
.233 (x.001 rad)
(13L)*
(12J)**
Local Force 247.86 241.2 92.57 89.70 71.42 69.79 (lb)
Local Moment 1.78 1.73 3.06 2.98 1.75 1.69 (x 1000 in lb)
Displacement
.31
.301 0
0
.26
.255 (x.10 in) 16 16 Rotation
.41
.397
.50
.483
.54
.526 (x.001 rad)
(16R)*
(161)**
Local Force 126.98 124.3 34.75 34.58 68.26 68.80 (lb)
Local Moment 0
0 3.69 3.61 1.88 1.87 (x 1000 in lb)
Displacement
.11
.103
.11
.110
.41
.400 (x.10 in) 12 17 Rotation
.13
.124
.37
.357
.24
.234 (x.001 rad)
(18)*
(171)**
Local Force 138.63 136.3 153.51 148.5 157.36 155.7 (lb)
Local Moment 1.87 1.81 3.46 3.41 1.31 1.28 (x 1000 in lb)
Al1-8
PSAFE2 BENCHMARK "LEM Nu. 2B (Lont'd RES)UL AIU MULTIPLE EXC
. OF GROUPS QUANTITY NObE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement
.11
.103
.20
.195
.11
.111 (x.10 in) 19 19 Rotation
.21
.206
.41
.398 (x.001 rad)
(20R)* (191)**
Local Force 97.59 95.94 117.77 115.8 105.08 101.6 (b)
Local Moment 1.87 1.81 2.46 2.37 1.52 1.50 (x 1000 in lb)
Displacement 0
0 0
0 0
0 (x.10 in) 21 20 Rotation 0
0 0
0 0
0 (x.001 rad)
(22)*
(20J)**
Local Force 118.00 116.0 119.07 115.4 105.14 103.4 (lb)
Local Moment 1.41 1.37 4.10 4.04 6.89 6.67 (x 1000 in lb)
Al-9
PSAFE2 BENCHWAL PROBLEM NO. 2L RESULTMPARISON MULTIPLE EXCITATION OLUTE COMB. OF GROUPS QUANTITY
)
V L
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 1 1
Rotation 0
0 0
0 0
0 (x.001 rad)
(1)*
(11)**
Local Force 73.14 70.86 81.56 79.80 161.55 157.2 (lb)
Local Moment 4.65 4.50 14.86 14.40 6.19 6.00 (x 1000 in lb)
Displacement
.43
.411
.16
.157
.58
.557 (x.10 in) 5 5
Rotation
.68
.656 1.49 1.443
.47
.451 (x.001 rad)
(5R)*
(51)**
Local Force 65.91 66.06 54.22 52.29 84.10 83.82 (lb)
Local Moment 2.10 2.03 5.85 5.66 1.69 1.64 (x 1000 in lb)
Displacement
.43
.411
.32
.310 0
0 (x.10 in) 7 6
Rotation
.58
.556 1.73 1.672
.43
.418 (x.001 rad)
(7L)*
(6J)**
Local Force 83.38 83.49 39.22 37.84 91.13 90.75 (lb)
Local Moment 2.10 2.03 6.75 6.60 2.08 2.01 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and moments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
Al-10
PSAFE2 LILNCHMAKIS POLLLM Nu-g- (,Xd MULTIPTE
_________NfF "N
MB F ROP
- L NODE MEM4BER COMPARED SUP ERZP IPE P-SAFE SUPERPIPE PSF2SUPERPIPE PSAFE?
Displacement 0
0
.30
.2b8
.57
.556 (x.10 in) 4399
.38
.364 9
9 Rotation
.41 (9R)*
(91)**
Loca0Fora) 563.88 546.5 59.52 57.51 277.99 270.0 (9R)
(9)**Local Momce (lb) 2.01 1.94 18.55 18.0 2.27 2.20 (Location of Local Moment 20 Maximum Moment)
(x 1000 in lb)
Displacement
.26
.251
.15
.146
.58
.558 (x.10 in) 160 64
.618 13 12 Rotation
.17 (13L)* (12.)**
Loca0Fora) 343.94 334.0 136.94 133.0 99.67 97.22 obal Moment 2.51 2.44 4.34 4.21 2.58 2.49 (x 1000 in lb)
Displacement
.43
.420 0
0
.37
.355 (x.10 in) 57 554
.70
.677 16 16 Rotation 5
(16R)*
(161)**
Loca0Fora) 173.97 169.7 49.17 48.97 93.57 91.34 (lb) 0 5.05 4.93 Local Moment 0
(x 1000 in lb)
Displacement
.15
.148
.17
.165
.58
.558 (x.10 in) 1183
.51
.497 12 17 Rotation
.19 (18)*
(171)**
Loca00Fo a) 187.39 183.5 228.80 222.0 208.47 205.6 (lb) 27
.747
.418 Local Moment 2.78 2.70 4.87 4.77 (x 1000 in lb)
(III-)
PSAFE2 BENCHMARK P"BLEM NO. 2C (Cont'd)
RESULT PARI SON MULTIPLE EXCI 0
0MB. OF GROUPS QUANTITY NOCE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement
.15
.148
.30
.292
.16
.155 (x.10 in) 19 19 Rotation
.32
.308
.57
.554
.12
.116 (x.001 rad)
(20R)* (191)**
Local Force 144.27 140.5 161.41 158.0 156.48 151.8 (lb)
Local Moment 2.78 2.70 3.65 3.54 2.18 2.13 (x 1000 in lb)
Displacement 0
0 0
0 0
0 (x.10 in) 21 20 Rotation 0
0 0
0 0
0 (x.001 rad)
(22)*
(20J)**
Local Force 161.68 158.3 176.80 171.9 155.97 152.0 (lb)
Local Moment 2.11 2.05 6.25 6.08 10.25 9.95 (x 1000 in lb)
Al-12
SUPERPIPE Verification Page A2-1 Benchmark Problem # 4 Model: Complex three-dimensional pipe run with additional run.
No. of Nodes:
186 No. of Modes: 50
A2-2 SS N
S S-sin sf ea JR aN
NRC BENCHMARK PROBLEM NO.
4 A2-3 DYNAMIC PRUPERIES UMPARISON Mass Mode Frequency (cps)
Participation Factor No.
SUPERPIPE NRC Difference SUPERPIPE NRC
- 1 2.610 2.612
.08%
X
-.0260
-.0260 Y
.0099
.0096 z
.0407
.0405 2
2.912 2.914
.07%
X
.0790
.0774 Y
.0066
.0065 Z
-.0961
-.0941 3
4.335 4.337
.05%
X
.1122
.1101 Y
.0192
.0189 Z
-.0176
-.0173 4
4.658 4.660
.04%
X
-.0094
.0092 Y
.0119
-.0117 Z
-.0054
.0053 5
5.732 5.734
.03%
X
.0010
.0009 Y
-.0575
-.0564 Z
.0017
.0016 6
5.829 5.833
.07%
X
-.0568
.0557 Y
-.0035
.0034 Z
.0093
-.0092 7
7.355 7.359
.05%
X
.0641
.0629 Y
.0040
.0039 Z
.0375
.0368 8
7.765 7.769
.05%
X
.0660
.0648 Y
.0248
.0244 Z
-.0018
-.0017 9
9.948 9.952
.04%
X
-.0888
.0873 Y
.0557
-.0547 Z
-.0204
.0200 10 10.323 10.330
.07%
X
-.0776
.0761 Y
-.0029
.0027 Z
-.0557
.0546
- The modal participation factors given in the NRC publication were divided by g (the acceleration of gravity, 32.2 ft/sec2) to obtain the mass participation factors as given by SUPERPIPE.
NRC MLRS BENLCHMA PRunco Nu. 4 NODE MEMBER COIVARED SIJPERPIPE PgAEz SUPERPIPE PSAFE2 SUPERPIPE PSArE2 Displacement 0
0 0
0 0
0 (x.10 in) 1 1
Rotation 0
0 0
0 0
0 (x.001 rad) 4 3406 2938.94 3078 4811.53 5499 (1)*
(11)**
Local Forces 3111.2 (lb)
(Location of Local Moments 128.581 144.6 464.996 532.8 314.792 341.6 Maximum Moment)
(x 1000 in lb)
Displacement
.05
.0558
.03
.0385
.01
.0087 (x.10 in) 7 4
Rotation
.28
.310
.36
.417
.14
.155 (x
.001 rad)
(4R)*
(41)**
Local Forces 3111.15 3405 2942.27 2991 4809.44 5549 (lb)
Local Moment 128.547 144.4 207.558 239.7 195.337 222.2 (x 1000 in lb)
Displacement
.24
.273
.22
.251
.11
.123 (x.10 in) 12 8
Rotation 1.06 1.216 1.19 1.368
.40
.4314 (x.001 rad)
(9L)*
(8J)**
Local Force 3154.11 3294 3074.74 3159 4329.84 4863 (lb)
Local Moment 96.304 96.70 119.529 136.7 138.359 157.4 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and mioments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
A2-4
NRC MLRS BtNLHMaK PROBLtM NO. 4A jP WASON QUANTITY 2
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement
.81
.935
.75
.866
.53
.605 (x.10 in) 20 15 Rotation 1.67 1.936 1.23 1.385 1.18 1.339 (x.001 rad)
(15L)*
(15J)**
Local Forces 2372.27 2564 3082.24 3245 3035.31 3432 (lb)
Local Moment 89.162 97.07 69.934 76.25 133.416 147.7 (x 1000 in lb)
Displacement 1.73 1.99 0.75
.866 1.5 1.717 (x.10 in) 25 21 Rotation 1.71 1.934 1.35 1.461 1.06 1.207 (x.001 rad)
(20R)*
(211)**
Local Forces 2515.64 2681 1448.48 1590 1535.22 1659 (lb)
Local Moment 88.062 97.72 91.207 94.27 118.122 134.5 (x 1000 in lb)
Displacement 1.73 2.002 0.48
.533 1.41 1.605 (x.10 in) 32 26 Rotation 1.31 1.429 1.94 2.175 0.23
.2424 (x.001 rad)
(26L)* (26J)**
Local Forces 1065.47 1108 2895.26 3162 1817.03 1990 (1b)
Local Moment 111.729 118.3 121.198 132.1 76.809 82.54 (x 1000 in lb)
Displacement 1.50 1.714
.17
.1804 1.89 2.0233 (x.10 in) 42 36 Rotation 1.17 1.251 2.94 3.144 1.26 1.397 (x.001 rad)
(34R)*
(361)**
Local Forces 1847.50 2083 5756.65 6544 987.02 1074 (lb)
Local Moment 95.367 96.67 116.993 123.1 73.263 82.21 (x 10UO in lb)
A2-5
- R LRS BENICEPR8LLMNO. 4A QUANTITY
___________________SUPRPPE PSFE NODE MEMBER COMPARED SUPERPIPE PgApy ERPpPE PSAFE2 SUPERPIPE PSAFE2 Displacement
.53
.553
.79
.822 1.73 1.805 (x.10 in) 53 43 Rotation 3.45 3.478 4.56 4.729 1.77 1.837 (x.001 rad)
(42L)* (43J)**
Local Forces 1244.10 1271 4628.50 4718 3334.24 3518 (lb)
Local Moment 156.700 160.0 106.744 108.8 103.515 108.9 (x 1000 in lb)
Displacement 1.78 1.905 1.82 1.837 5.97 5.996 (x.10 in) 65 53 Rotation 3.54 3.556 7.53 7.552 2.85 2.863 (x.001 rad)
(52L)*
(53J)**
Local Forces 1434.06 1468 1511.41 1604 1237.23 1259 (lb)
Local Moment 73.519 77.74 131.803 132.4 145.951 150.3 (x 1000 in lb)
Displacement 7.45 7.434 1.20 1.222 1.54 1.575 (x.10 in) 77 62 Rotation 2.76 2.776 7.58 7.596 3.89 3.890 (x.001 rad)
(61L)* (62J)**
Local Forces 8092.03 8321 2633.26 2876 4002.35 4069 (lb)
Local Moment 86.419 87.04 173.182 170.0 110.352 115.4 (x 1000 in lb)
Displacement 2.98 2.972 2.77 2.787 1.09 1.142 (x.10 in) 85 71 Rotation
.72
.757 2.29 2.334 9.20 9.184 (x 001 rad)
(68R)* (711)**
Local Forces 3024.61 3175 3249 3248 1019.42 1034 (lb)
Local Moment 68.867 69.13 47.056 47.34 72.521 74.65 (x 1000 in lb)
A2-6
NRC nL-nS BursdsAMAP rd08Lm 40.
ULA PARISON QUAPTITY NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 94 77 Rotation 0
0 0
0 0
0 (x.001 rad)
(75)*
(77J)**
Local Forces 4789.51 4789 3390.71 3387 1012.66 1043 (ib)
Local Moment 41.223 42.53 69.130 71.52 310.970 310.5 (x 1000 in lb)
Displacement 1.36 1.565
.87 1.006
.91 1.023 (x.10 in) 100 81 Rotation 1.81 2.082 1.21 1.286 1.61 1.798 (x.001 rad)
(79R)*
(811)**
Local Forces 1322.60 1476 1876.68 2146 1600.40 1795 (lb)
Local Moment 71.724 78.05 11.296 11.96 56.287 61.60 (x 1000 in lb)
Displacement 2.bO 2.680
.29
.324
.85
.961 (x.10 in) 125 102 Rotation 1.17 1.247 2.95 3.246 3.27 3.455 (x.001 rad)
(100R)* (1021)**
Local Forces 2066.84 2344 652.67 718.7 411.17 439.5 (lb)
Local Moment 42.804 46.76 31.430 32.81 23.822 26.63 (x 1000 in lb)
Displacement 6.56 6.605
.50
.514
.35
.350 (x.10 in) 145 118 Rotation 4.69 4.816 9.11 9.164 3.08 3.142 (x.001 rad)
(116R)* (1181)**
Local Forces 990.00 1057 799.03 828.2 2084.09 2108 (lb)
Local Moment 36.640 37.33 77.820 77.95 32.815 36.30 (x 1000 in lb)
A2-7
NRC MLRS BENCH P LMN.4 QUANTITY X
Y NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 4.75 4.787 3.08 3.194 9.16 9.225 (x.10 in) 156 126 Rotation
.82
.834 1.88 1.910 3.52 3.635 (x.001 rad)
(125L)* (126J)**
Local Forces 1650.19 1668 1071.57 1115 1626.13 1662 oal Moment 32.244 33.15 129.421 130.4 72.722 73.92 (x 1000 in lb)
Displacement 4.87 4.914 2.51 2.593 9.25 9.313 (x.10 in) 164 133 Rotation
.89
.919 1.96 1.998 3.27 3.372 (x.001 rad)
(131L)* (133J)**
Local Forces 1735.10 1777 662.24 682.6 1833.37 1878 (lb)
Local Moment 34.483 35.45 152.714 144.1 77.028 78.69 (x 1000 in lb)
Displacement 7.47 7.543
.04
.0437 10.28 10.359 (x.10 in) 171 139 Rotation 1.53 1.581 2.96 2.993 2.51 2.495 (x.001 rad)
(136R)* (1391)**
Local Forces 1390.95 1419 546.96 569.1 1006.68 1026 (1b)
Local Moment 34.460 35.43 50.212 50.90 49.112 50.41 (x 1000 in lb)
Displacement 8.74 8.820
.61
.641 8.17 8.240 (x.10 in) 180 146 Rotation 1.57 1.616 1.07 1.085
.98 1.026 (x.001 rad)
(144L)* (146J)**
Local Forces 736.63 776.8 1223.22 1258 1934.00 1952 (1b)
Local Moment 172.887 174.5 20.440 21.43 31.651 32.71 (x 1000 in lb)
A2-8
NRC MLRS BENCH~k IROBLLM NO.
4A RESUL PARISON QUANTITY x___y__
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 192 158 Rotation 0
0 0
0 0
0 (x.001 rad)
(156)*
(158J)**
Local Forces 1646.13 1670 949.43 994.7 2708.56
.2745 (lb)
Local Moment 9.850 10.22 384.965 388.6 57.338 60.23 (x 1000 in lb)
A2-9
NRC MLRS I3LNCHW PbLILm NO.
gob MULTIPLE EXCITATHW S COM. OF GROUP S NODE MEMBER COUARLD SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 1 1
Rotation 0
0 0
0 0
0 (x.001 rad)
(1)*
(ll)**
Local Forces 2184 2307 1910 1940 3268 3544 (lb)
Local Moment 82.91 90.3 319.2 346.7 204.8 214.0 (x 1000 in lb)
Displacement 1.14 1.24
.48
.51
.98 1.05 (x.10 in) 25 20 Rotation 1.05 1.11
.86
.89
.70
.76 (x.001 rad)
(20L)* (20J)**
Local Forces 1444 1546 1569 1684 1377 1446 (ib)
Local Moment 61.17 63.64 62.32 64.56 76.2 82.52 (x 1000 in lb)
Displacement 1.22 1.33
.40
.43 1.09 1.18 (x.10 in) 28 24 Rotation
.81
.86 1.22 1.29
.22
.23 (x.U01 rad)
(23R)*
(241)**
Local Force 752 761 1489 1572 1199 1223 (lb)
Local Moment 72.23 75.0 68.40 71.67 75.56 79.43 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and moments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
A2-10
NRC MLRS BENCW&PROBLEM NO. 4B RESUL 1TP~~S~O MULTIPLE EXCITATION - SRSS COMB. OF GROUPS QUANTITY L
NODE MEMBER COMPARED SUPERPIPE PSAF2 SUPERPIPE SUPERPIPE PSAFE2 Displacement 1.02 1.11 0.1 0.1 1.28 1.29 (x.10 in) 42 35 Rotation
.78 0.8 2.13 2.2 0.83 0.89 (x.001 rad)
(34L)*
(35J)**
Local Forces 1279 1375 3252 3538 937 942 (lb)
Local Moment 69.89 70.45 77.64 79.58 49.76 53.35 (x 1000 in lb)
Displacement 0.27 0.28 0.66 0.67 1.77 1.84 (x.10 in) 55 46 Rotation 3.21 3.15 3.6 3.64 1.02 1.03 (x.001 rad)
(44R)* (461)**
Local Forces 1975 2049 979 991 1581 1625 (lb)
Local Moment 115.55 115.8 102.29 101.1 103.03 107.7 (x 1000 in lb)
Displacement 1.9 1.9 0.66 0.68 4.20 4.14 (x.10 in) 60 49 Rotation 3.47 3.42 5.12 5.04 1.59 1.57 (x.001 rad)
(48L)* (49J)**
Local Forces 773 786 644 641 1251 1313 (lb)
Local Moment 115.55 115.8 58.99 58.0 89.12 89.1 (x 1000 in lb)
Displacement 4.26 4.19 0.29 0.29 1.75 1.75 (x.10 in) 71 58 Rotation 2.16 2.13 6.18 6.08 2.94 2.89 (x.001 rad)
(57L)* (5J)**
Local Forces 4793 4793 1733 1733 743 749 (lb)
Local Moment 66.41 66.2 61.63 64.2 110.82 111.4 (x 1000 in lb)
A2-11
NRC MLRS BENC POLEM NO. 413 MULTIPLE EXCI OF GROUPS Q U A N T I T Y
_ _ __L NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 5.98 5.89 0.92 0.90 1.21 1.23 (x.10 in) 77 64 Rotation 2.13 2.11 6.03 5.93 3.04 2.99 (x.001 rad)
(61R)* (641)**
Local Forces 539 560 1122 1141 1713 1692 (ib)
Local Moments 143.36 140.0 137.31 135.0 68.42 70.13 (x 1000 in lb)
Displacement 7.27 7.13 2.18 2.14 1.02 1.06 (x.10 in) 82 67 Rotation 0.39 0.39 2.69 2.65 6.96 6.83 (x.001 rad)
(65L)* (67J)**
Local Forces 1289 1309 402 399 2046 2014 (lb)
Local Moment 54.78 53.93 113.55 111.6 21.94 22.7 (x 1000 in lb)
Displacement 1.09 1.07 0.01 0.01 0.24 0.24 (x.10 in) 92 76 Rotation 0.57 0.58 0.63 0.63 2.44 2.4 (x.001 rad)
(73R)*
(761)**
Local Forces 3794 3726 2582 2539 692 700 (ib)
Local Moment 30.61 30.82 33.98 33.64 65.64 64.70 (x 1000 in lb)
Displacement 0.0 0.0 0.0 0.0 0.0 0.0 (x.10 in) 94 77 Rotation 0.0 0.0 0.0 0.0 0.0 0.0 (x.001 rad)
(75)*
(77J)**
Local Forces 3794 3726 2661 2616 773 786 (lb)
Local Moment 30.61 30.82 54.18 56.03 248.53 244.0 (x 1000 in lb)
A2-12
NRC MLKS BLNL1 KOBLLI riO. 40o RESULT ARISON MULTIPLE EXCI 0
OF GROUPS QUAN1ITY X__
L NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 1.8 1.92 0.70 0.76 1.12 1.17 (x.10 in) 104 84 Rotation 1.44 1.54 0.85 0.90 2.13 2.19 (x.001 rad) 9414 2
5 (83L)*
(84J)**
Local Forces 807 834 994 1049 624 657 (1lb)
Local Moments 12.8 13.4 12.31 13.13 37.63 39.37 (x 1000 in lb)
Displacement 1.45 1.53 1.36 1.42 1.10 1.15 (x.10 in) 107 88 Rotation 1.53 1.62 1.05 1.11 2.45 2.53 (x.001 rad)
(86R)* (881)**
Local Forces 486 493 484 506 423 439 (ib)
Local Moments 16.96 18.22 16.02 16.56 15.74 16.37 (x 1000 in lb)
Displacement 1.87 1.97 0.11 0.12 0.50 0.52 (x.10 in)1.3.0 119 96 Rotation 1.03 1.06 2.09 2.2 4.38 4.57 (x.001 rad)
(95L)*
(96J)**
Local Forces 786 809 993 1064 619 640 (lb)
Local Moments 11.34 11.86 30.55 31.83 16.50 17.08 (x 1000 in lb)
Displacement 2.06 2.05 0.18 0.19 0.73 0.73 (x.10 in) 131 107 Rotation 0.99 0.99 3.3 3.33 1.72 1.78 (x.001 rad)5961643835 (105R)*
(1071)**
Local Forces 575 595 614 648 368 385 (ib)
Local Moment 21.89 22.02 14.10 14.02 25.59 26.4 (x 1000 in lb)
A2-13
NRC MLRS BENC PROBLEM NO. 4B MULTIPLE EXCI TA0TIm1 UMB. OF GROUPS UAI TY NODE MEMBER CO1ARED SUPERTPE UTPSAF SUPERPIPE PSAFLZ SUPERPIPE PSAFE2 Displacement 4.08 4.07 0.33 0.33 0.53 0.53 (x.10 in) 144 116 Rotation 3.17 3.17 5.61 5.59 2.06 2.07 (x.001 rad)
(1lbL)* (116J)**
Local Forces 492 519 283 287 380 378 (lb)
Local Moments 23.58 23.75 43.90 43.5 25.53 25.74 (x 1000 in lb)
Displacement 4.49 4.48 0.03 0.03 1.33 1.33 (x.10 in) 149 121 Rotation 2.56 2.56 6.35 6.33 2.10 2.11 (x.001 rad)
(119R)* (1211)**
Local Forces 965 979 1038 1055 1186 1189 (lb)
Local Moments 23.30 23.26 12.35 12.42 34.41 34.99 (x 1000 in lb)
Displacement 3.07 3.07 1.91 1.92 5.83 5.83 (x.10 in) 160 129 Rotation 0.48 0.48 1.72 1.70 2.36 2.38 (x.001 rad)
(128L)* (129J)**
Local Forces 1042 1045 900 915 1379 1400 (lb)
Local Moments 21.48 21.68 79.26 79.32 50.31 50.73 (x 1000 in lb)
Displacement 4.23 4.24 0.43 0.43 6.30 6.30 (x.10 in) 168 137 Rotation 1.14 1.15 1.99 1.98 1.85 1.86 (x.001 rad)
(134R)* (1371)**
Local Forces 914 915 830 838 814 822 (lb)
Local Moment 22.59 22.79 44.14 43.5 14.67 14.8 (x 1000 in lb)
A2-14
NRC MLRS BENCH POLEM NO. 4B MULTIPLE EXC ROUPS QUANTITY X
L NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 5.16 5.17 0.26 0.26 5.94 5.95 (x.10 in) 176 143 Rotation 0.86 0.86 1.86 1.86 1.04 1.05 (x.001 rad)
(141L)* (143J)**
Local Forces 579 587 234 240 1023 1021 (lb)
Local Moments 18.51 18.66 56.61 56.69 33.78 34.3 (x 1000 in lb)
Displacement 5.59 5.60 0.39 0.39 5.09 5.09 (x.10 in) 182 149 Rotation 0.94 0.95 1.21 1.22 0.42 0.42 (x.001 rad)
(146R)* (1491)**
Local Forces 752 760 446 456 1327 1327 (lb)
Local Moments 25.78 25.92 122.35 122.5 9.06 9.12 (x 1000 in lb)
Displacement 0
0 0
0 0
0 (x.10 in) 192 158 Rotation 0
0 0
0 0
0 (x.001 rad)
(156)*
(158J)**
Local Forces 1141 1143 495 464 1687 1692 (lb)
Local Moments 6.66 6.78 242.51 242.9 29.43 29.74 (x 1000 in lb)
A2-1 5
NR MRSBENCH PROBLUM NO. 4C MULTIPLE EXCITATION-OLU E 0MB. OF GROUPS NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 1 1
Rotation 0
0 0
0 0
0 (1)*
(1l)**
Local0Forces 2908.9 3033 2683.5 2720 4372.2 4705 (1 b)
Local Moments 113.23 119.3 428.16 451.6 287.87 297.0 (x 1000 in lb)
Displacement
.33
.345
.31
.325
.20
.209 (x.10 in) 14 14 Rotation 1.00 1.046 1.12 1.186
.34
.358 (x.001 rad)
(11R)*
(121)**
Local Forces 2443.1 2481 2147.6 2208 2899.1 3059 (lb)
Local Moment 88.226 91.07 65.059 67.76 103.802 105.7 (x 1000 in lb)
Displacement 1.58 1.663
.67
.698 1.36 1.429 (x.10 in) 25 25 Rotation 1.45 1.498 1.15 1.173
.96 1.012 (x.001 rad)
(20R)*
(211)**
Local Force 1985.2 2059 1357.0 1381 1280.8 1316 (lb)
Local Moment 81.903 84.770 105.815 111.000 84.130 87.130 (x 1000 in lb)
The number in parenthesis ( ) is the SOP (Stress Output Point) number from SUPERPIPE output, where the forces and moments are reported (absolute values).
The number in parenthesis ( ) is the member number and node point (I or J) for that member from PSAFE2 output, where the forces and moments (absolute values) are reported.
A2-16
NRC MLRS BENCH PROBLEM NO. 4C RESUL PARISON MULTIPLE EXCITA lB. OF GROUPS QUANTITY NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 1.58 1.673
.39
.398
.99 1.034 (x.10 in) 35 35 Rotation
.99 1.036 1.83 1.893
.21
.214 (x.001 rad)
(28R)* (301)**
Local Forces 4073.4 4241 2298.7 2385 1814.6 1911 (lb)
Local Moment 87.505 89.890 50.115 51.800 113.658 114.700 (x 1000 in lb)
Displacement 1.42 1.503
.14
.145 1.60 1.621 (x.10 in) 42 42 Rotation
.99 1.012 2.65 2.720 1.14 1.200 (x.001 rad)
(34R)*
(361)**
Local Forces 1698.3 1779 5415.6 5721 911.8 947.0 (lb)
Local Moment 88.698 89.760 98.909 100.70 67.519 70.710 (x 1000 in lb)
Displacement
.41
.417
.06
.060
.14
.137 (x.10 in) 49 49 Rotation 2.48 2.457 3.90 3.969 1.26 1.285 (x.001 rad)
(40L)* (41J)**
Local Forces 950.1 959.4 1680.7 1748 1347.0 1387 (lb)
Local Moment 141.118 140.00 84.699 86.770 112.352 113.00 (x 1000 in lb)
Displacement 1.60 1.631 1.54 1.553 5.40 5.326 (x.10 in) 65 65 Rotation 3.18 3.144 6.82 6.722 2.54 2.509 (x.001 rad)
(52L)* (53J)**
Local Forces 1231.1 1251 1382.5 1436 1054.1 1066 (lb)
Local Moment 75.336 77.660 118.255 117.30 126.232 127.90 (x 1000 in lb)
A2-17
NRL MLRS OtNCH O RObtLt NO. 'tu MULTIPLE EXCITA 0 B. OF GROUPS QUANTITY X
-A y
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 8.43 8.291 2.00 1.983 1.26 1.310 (x.10 in) 81 81 Rotation 2.25 2.241 6.56 6.466 3.96 3.915 (x.001 rad)
(64L)* (66J)**
Local Forces 471.5 470.0 1792.6 1826 2359.5 2330 (lb)
Local Moment 162.530 160.10 95.496 94.230 48.209 49.730 (x 1000 in lb)
Displacement 0
0 0
0 0
0 (x.10 in) 94 94 Rotation 0
0 0
0 0
0 (x.001 rad)
(75)*
(77J)**
Local Forces 4308.8 4243 3024.8 2981 960.9 978.6 (1b)
Local Moment 37.617 37.990 70.073 72.390 280.364 275.900 (x 1000 in lb)
Displacement 1.16 1.231
.67
.699
.80
.833 (x.10 in) 23 23 Rotation 1.6 1.673
.97 1.001 1.21 1.271 (x.001 rad)
(76)*
(781)**
Local Forces 1211.9 1266 1663.9 1723 1369.2 1403 (ib)
Local Moment 62.358 63.550 17.674 18.340 53.945 55.520 (x 1000 in lb)
Displacement 2.59 2.694 1.22 1.269 1.59 1.645 (x.10 in) 105 105 Rotation 2.10 2.187 1.23 1.285 3.41 3.490 (x.001 rad)
(84R)* (861)**
Local Forces 834.9 854.6 560.6 582.2 1119.9 1145 (lb)
Local Moment 18.641 19.370 42.095 43.210 15.673 16.320 (x 1000 in lb)
A2-18
NRC MLRS BENCH PROBLEM NO. 4C RESULT JPARISON MULTIPLE EXCITA 10 B. OF GROUPS QUANTITY X
V L
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 1.84 1.898 2.41 2.459 1.58 1.635 (x.10 in) 108 108 Rotation 1.81 1.884 1.58 1.648 4.03 4.122 (x.001 rad)
(87L)* (88J)**
Local Forces 669.5 689.2 674.2 692.2 595.8 616.1 (1b)
Local Moment 23.546 24.710 35.539 36.730 33.082 34.070 (x 1000 in lb)
Displacement 2.92 2.992
.26
.267
.61
.630 (x.10 in) 127 104 Rotation
.93
.960 2.83 2.89 3.14 3.166 (x.001 rad)
(102R)* (1041)**
Local Forces 558.7 581.6 376.0 381.9 465.3 484.1 (lb)
Local Moment 31.408 31.29 17.172 17.64 36.650 36.79 (x 1000 in lb)
Displacement 3.05 3.011
.51
.511 9.85 9.715 (x.10 in) 139 113 Rotation 4.57 4.517 5.70 5.621 1.46 1.486 (x.001 rad)
(111R)* (1131)**
Local Forces 1665.4 1738 612.3 636.3 527.1 549.2 (lb)
Local Moment 21.087 20.84 28.755 28.85 45.272 46.69 (x 1000 in lb)
Displacement 5.37 5.347
.42
.425
.28
.277 (x.10 in) 145 118 Rotation 4.37 4.333 7.30 7.256 2.54 2.545 (x.001 rad)
(116R)* (1181)**
Local Forces 779.3 813.0 750.6 762.1 1664.8 1670 (lb)
Local Moment 29.938 30.04 63.229 62.48 28.549 28.80 (x 1000 in lb)
A2-19
NRC MLRS BENCH RKBLLM NO. 9L MULTIPLE EXCITAN -
f B. OF GROUPS QUANTITY yL NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 3.86 3.b46 2.54 2.607 7.17 7.162 (x.10 in) 156 126 Rotation
.67
.672 2.25 2.216 3.01 3.029 (x.001 rad)
(125L)* (126J)**
Local Forces 1282.8 1285 1000.9 1014 1525.5 1546 (lb)
Local Moment 26.560 26.71 100.902 100.7 58.805 58.91 (x 1000 in lb)
Displacement 3.82 3.815 2.10 2.113 7.22 7.209 (x.10 in) 164 133 Rotation
.79
.802 2.21 2.191 2.78 2.795 (x.001 rad)
(131L)* (133J)**
Local Forces 1557.8 1574 599.2 605 1788.7 1808 (ib)
Local Moment 28.026 28.21 117.893 118.1 64.264 64.65 (x 1000 in lb)
Displacement 5.91 5.906
.03
.035 8.00 7.99 (x.10 in) 171 139 Rotation 1.31 1.316 2.43 2.429 2.05 2.068 (x.001 rad)
(136R)* (1391)**
Local Forces 1134.1 1133 293.7 298.5 927.7 935.7 (lb)
Local Moment 28.009 28.20 63.296 62.48 40.862 41.03 (x 1000 in lb)
Displacement 6.86 6.854
.49
.499 6.37 6.363 (x.10 in) 180 146 Rotation 1.28 1.289 1.18 1.174
.78
.783 (x.001 rad)
(144L)* (146J)**
Local Forces 532.2 539.8 941.7 947.4 1606.8 1604 (lb)
Local Moment 134.274 134.2 17.875 17.99 24.375 24.62 (x 1000 in lb)
A2-20
NRC rMLRS BENCHM JNROBLEM NO. 4C MULTIPLE EXCITATION-UTEOMB. OF GROUPS QUANTITY X____
NODE MEMBER COMPARED SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 SUPERPIPE PSAFE2 Displacement 0
0 0
0 0
0 (x.10 in) 192 158 Rotation 0
0 0
0 0
0 (x.001 rad)
(156)*
(158J)**
Local Forces 1384.3 1383 602.2 604.9 2092.1 2095 (lb)
Local Moment 7.695 7.802 299.210 299.2 38.346 38.52 (x 1000 in lb)
A2-21