ML20211E331
| ML20211E331 | |
| Person / Time | |
|---|---|
| Site: | Seabrook  |
| Issue date: | 08/19/1986 |
| From: | Lyon W Office of Nuclear Reactor Regulation |
| To: | Berlinger C Office of Nuclear Reactor Regulation |
| Shared Package | |
| ML20209E304 | List: |
| References | |
| FOIA-86-678 NUDOCS 8610220420 | |
| Download: ML20211E331 (548) | |
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MEMORANDUM FOR: Carl Berlinger, Chief Reactor Systems Branch Division of PVR Licensing-A THROUCH: Richard Lobel, Section Leader Reactor Systems Branch Division of PVR Licensing-A FROM: Varren C. Lyon, Sr. Nuclear Engineer Reactor Systems Branch Division of PVR Licensing-A
SUBJECT:
REVIEV 0F SEABROOK DOCUMENTS PERTAINING TO CHANGE IN EMERGENCY PLANNING ZONE SIZZ
REFERENCES:
- 1. "Seabrook Station Risk Management and Energency Planning Study", Pickard, Lowe and Carrick, Inc.,
PLC-0432, December 1985.
- 2. "Seabrook Station Energency Planning Sensitivity Study", Pickard, Lowe and Carrick, Inc., PLG-0465, Apr!I 1986.
I have read the reference documents and have complied a number of observations and questions which may be useful in our continuing review. These are documented in Enclosures I and 2. I suggest these be transmitted to BNL f or their consideration during the formal review.
I find this work to represent a considered investigation of Seabrook Station response to severe accident conditions. It is a logical entension of the Probabilistic Risk Assessment work which I helped to review, and it describes the most detailed investigation of LOCA outside of containment t h'a t I have encountered. In general, I believe the work to be well founded, although there are asceptions which are identified below. It is not clear if the l
exceptions would seriously perturb the overall conclusions, and this is an area which should be investigated. If the exceptions are overlooked (for the moment), the reports present reasonable conclusions in the areas in which ! am qualified to formulate a professional opinion.
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My perception is that we are investigating this area from the viewpoint of a comparison between what was done several years ago and what we know now, with the objective of reaching a conclusion with respect to the rationale used in formulating the esisting emergency planning criteria. A concern is that this approach may result in the esclusion of items that were not included by the i
original planners, but which lapact risk in areas close to the plant when the overly conservative original basis is corrected.
Clearly, Seabrook Station has a large volume, strong containment which will mitigate almost any realistically postulated severe accident. fl do not believe the staff should expend estensive resources investigating this, although we should satisfy ourselves of the correctness of the conclusion.)
Risk problems will not be found by studying the containment. Nor will they be found by rehashing chemical reaction phenomena, vaporisation of fission products, and the like. The problem with respect to plant response, if there is one, will be in containment bypass, and it is here that I believe we should concentrate our resources. It is also here that I believe the Pickard, Lowe and Carrick (PLC) work is potentially deficient. They have not fully explored ways to bypass containment. Esamples which are not obvious which ! believe to be valid are:
- 1. Steam Cenerator 1111 Igti Ruoture. This is the rupture of multiple tubes
- in response to high temperature which in turn is a result of core uncovery. This accident sequence should be of concern any time there is a core melt with the Reactor Coolant System at more than a few hundred psi pressure, with no water in the SC secondary side. These conditions lead to a potential for natural circulation transport phenomena to significantly heat the tubes prior to breach of the reactor vessel. The resulting loss of tube strength can lead to tube rupture. Reactor Coolant Pump operation, as outlined in many plant energency procedures, almost assures this to be a concern. If tube rupture occurs, and any of the-secondary side valves are open, the secondary side is breached outside containment, or the reactor coolant system pressure is above the SC relief valve setpoints, containment is bypassed. This has not been adequately investigated, and is not recognised as a release path in the PLC work.
- 2. LQqA Outside Containment. PLC has done some of the most innovative work I have seen in this area. In many respects, it is excellent. But they didn't go far enough. Common cause failures appear to be weakly investigated. Some failure paths ate ignored (were they investigated and found negligible?). I also question the data base and its application.
- 3. Other Vhat have we missed? I believe a careful investigation is in order to assess if there are unidentified bypass paths. This will be a I difficult task to accomplish properly since one is looking for the
! things that are difficult to find.
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My final concern with the reported work, and the risk assessment approach, is that we are ignoring 'the potential risk impact of sabotage. This is just as real as an earthquake or any of the equipment failures which can initiate a severe accident, and it will impact risk. I do not believe the rational of
!!aiting the comparison to topics used by the formulators of the old emergency planning is sufficient when one is potentially considering one or two atte radius sones. We'are already violating this rational with the large number of potential accident paths considered in the Seabrook PRA and with seismic considerations. Of importance here, there are items that were negligible with the old, highly conservative assumptions that become significant with removal of conservatisms based upon recent knowledge. These may impact risk assessments when a reduced zone size is considered. Steam generator tube rupture due to overheating is one such item. Sabotage is another.
Varren C. Lyon Senior' Nuclear Engineer Reactor Systems Branch, DPL-A
Enclosures:
As Stated cc: T. Novak C. Rossi B. Sheron R. Ballard V. Benaroya J. M11hoan C. Bagcht B. Doolittle V. Nerses l
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ENCLOSURE 1 REVIEW COMMENTS ON "SEABROOK STATION RISK MANAGEMENT'AND EMERCENCY PLANNING STUDY" (PICKARD, LOVE AND CARRICK. INC.. PLC-0432. DECEMBER 1985)
SECTION 3 Page 2 The assumption is made that a loss of instrument air will allow the purge valves to close prior to core damage or uncovery. What is the justification for this assumption? (How long does it take for the instrument air pressure to decrease to the point that that valves close?)
- What likelihood is assigned to mechanical failure which results in the purge valves falling to close?
What is the likelihood that human error, such as failure to properly close the personnel hatch, will provide containment bypass?
- Deliberate attempts to create a release have not been addressed. Obvious reasons for this omission are the difficulty in assigning a likelihood of occurrence and the need not to publicly draw a map for potential saboteurs. However, this is a real consideration, and one which the I believe should be addressed before reaching a favorable finding on any request for a decrease in the energency planning zone radius.
Operation at conditions other than full power and accident conditions while at shutdown have not been addressed. Although accidents under these conditions are generally considered to represent less risk than accidents at full power, I believe they should be considered before one reaches a favorable finding in regard to decrease of the energency planning sone radius.
As far as I know, no PRA has considered rupture of steam generator tubes during the approach to or the progression of core sett accidents. This is of concern due to the high temperatures in the reactor vessel, the possibility that the approach to melt occurs at high reactor coolant system (RCS) pressure, and the presence of mechanisms which may entst for s
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transporting hot fluid into the steam generator tubes, thus significantly reducing their strength (Mechanisms of concern involve both natural circulation and the use of reactor coolant pumps as a "last ditch" effort to prevent or delay core melt.) I believe we should consider such containment bypass paths before reaching a favorable finding in regard to decrease of the energency planning sone radius.
! consider it necessary that all reasonable release paths be considered either directly or via a suitable allowance (for unknowns) in order for PRA associated work to be used as part of the basis for a reduction in the radius of the energency planning sone. In light of the above, this has not been accomplished. Therefore, I recommend a careful evaluation of possible containment bypass paths and a search for areas which have not been considered in the PRA associated work that is being used as a basis for a potential request to reduce the radius of the planning sone.
5 Reference is made to Fig. 4-8. This figure shows the Boron Injection Tank (BIT) as part of the Engineered Safety Features (EST) System. The BIT is no longer a part of the Seabrook EST. This should be corrected.
In general, we should be assured that the information used in the report is up to date.
- A minimal number of paths are presented as leading to pressurisation of the low pressure portions of the RHR system. Figure 4-8 shows many more potential paths. I suggest that all potential paths be listed, and that we be provided with the reason for the rejection of each (such as a likelihood of the path being open and the contributors to that
, likelihood). Consideration should be given to operating procedures, the l
likelihood that the procedures will not be followed, possible errors (such as the recently discovered difficulty with insufficient head to supply the SI and charging pumps in the recirculation mode and the impact upon LOCA outside of containment, if any), and interlock behavior.
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Other risk contributors that are often overlooked in PRAs are design and construction errors. The prior comment in regard to insufficient head is a good esample. Please address how these are contained in the data base which is being provided to the staff to justify the decrease in energency planning sone radius.
5 Seabrook has recently proposed changes in the operating procedure for initiation of the recirculation mode of Si operation. Do these changes have any influence on the probability of satisfactory switchover from the injection to the recirculation mode?
4 The FSAR gives the relief rate as 100 gpa with a set pressure of 450 psi.
The flow rate does not agree with the value used here. Please esplain.
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What is the mechanism for assuring that plant changes and new knowledge are promptly factored into the technical considerations which form a part of the foundation for staff consideration of a reduced emergency planning sone radiust I note that FSAR Figure 4.3-2 appears to be inconsistent between the actual figure and the test which describes valve positions. This also impacts upon proper operation of the SI system. Sea, for esample, Valves 14, 21, and 22. Is this correct? If so, what are the implications with respect to the issue under consideration here?
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7 What is a sump low level alarat (Fifth paragraph) 7 Vhat consideration has been given to relatively small breaks and interaction with the fusible !!nks in the ventilation systent fis the potential impact worth consideration?) The concern is that enough hot water may be released to activate t> e links, thereby terminating ventilation and indirectly causing failure of the pumps due to overheating of the pump motors, and that this could occur at a time earlier than alght occur due to flooding.
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9 1 do not understand the conclusion that presence of water in the reactor cavity will decrease (significantly?) the revaporisation of fission products from RCS and perhaps RHR surfaces. I anticipate that a significant quantity of heat producing radioisotopes will remain in the wreckage of the reactor vessel, and this may be effective in heating whatever gases or vapor are flowing toward the break. Has this been investigated?
10 What is the justification for the statement that the first sign of trouble will be pressuriser low level og low pressure alaras? I anticipate a number of other indicators may be first, such as abnormal indications from the PRT or even a smoke alarm.
11 There have been a number of indications that there is a good chance of
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containment spray being actuated due to a high RHR relief valve release rate into containment. What is the justification for this conclusient include the effect of containment heat sinks and containment cooler operation in the response.
11 The statement "As soon as the pumps begin to produce flow to the RCS, valves in the miniflow lines close and all RHR pump flow is infected into the reactor vessel via the RHR cold leg injection lines" is not correct.
The sensors are not located at the RCS to detect flow at that location.
Further, one is postulating a break in the RHR system, and a significant portion of the pump flow may never reach the RCS (as is stated in the following paragraph).
11 The last paragraph contains a number of timing of event statements.
l i Please provide justification of each. Plots of plant behavior showing suitable parameters and indicating the event points are sufficient for most. Operator response information, in addition to RCS parameter information, is necessary for the statement that RCPs will be tripped within about 21 seconds of break initiation. (I personally observed a j simulator run in which RCPs were not tripped for several minutes in a l
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large break simulation. The operator missed the step, and I didn't say anything because I wanted to see how long it would take before someone I caught the mistake.)
12 Failure to diagnose a LOCA outside containment is identified in the third paragraph. What actions are under way with Seabrook Energency Procedures to correct this situation? What notifications have been given by Seabrook to the NRC, Vestinghouse, INF0, or others in regard to this deficiency? (See also the discussion and recommendations later in the report, such as pages 3-34 and 3-35) 15 This discussion is not clear with respect to what is in the present study and what was not considered in the SSPSA but is considered in the present study. A number of LOCA outside containment events are alssing. For example, the following do not appear:
- a. Inadvertent opening of the two hot leg suction valves due to common cause failure such as improper maintenance, acIfunction of the interlock system, design error, or unidentified means.
- b. Failure of the stem or other internal connections in valves equipped with limit switches or failure of a limit switch (including improper asintenance such as reversing indication).
- c. Malfunction due to fire or other electrical short circuits.
(Includes testing operations of all types, such as testing that I
involves jumpers which could be incorrectly connected to cause a LOCA outside containment. The testing is not necessarily limited to testing of valves.)
- d. Common cause failure associated with improper maintenance such as installation of improper components (gaskets, seats, or valve disks) which may fail almost lamediately or at a later time.
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l 15 The comment is made "The disc rupture failure mode has not been reported I in the nuclear industry data base." The staff notes a number of disc valve failures have been reported in the nuclear industry for non-SI or
-RHR systems, including some where there were common cause failures.
Vere these considered in the work being reported here? (Note several valve failures.at San Onofre Unit I may be too recent.)
15 Are the individual check valves leak tested after each RCS depressurisation or are they checked at once in seriest !! they are
- checked individually, please describe how this is accomplished. Include checking of the hot leg injection valves in the response, (Note the hot leg injection path was escluded from consideration because there are three valves in series.)
15 Please describe the valve inspections that are promised each time the plant goes to cold shutdown or is refueled. (The imp!! cation is that the valves are opened up for inspection.)
is The largest leak rate in Figure 3-3 is of the order of 200 gpa, whereas the arena of interest ranges to 65,000 gpa. Please justify this estrapolation. In addition, include consideration of the valve designs, operation modes, and sises used in the data base as contrasted to Seabrook.
14 Several references have been provided to not falling the RHR system at pressures of roughly 2250 psi. What calculations substantiate these statements or assumptions? What temperatures were involved while the RHR was considered to be esposed to 2250 psit 17 Vhat likelihood of failing to test after cold shutdown or failure to test l after refueling was included in this workt Vhat likelihood was assigned to an incorrectly conducted test that would lapact the conclusions?
Vhat is the likelihood that a LOCA outside containment can be terminated if initiatedt include consideration of all possible paths and address the dynamic interaction of closing the various valves against water flowing from the RCS at high pressure.
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17 In the discussion of the BVR events, would it be accurate to state that none of the. events were included in Table 3-8 and Figure 3-3?
17 Inclusion of accumulator check valve leakage is viewed as a conservatism according to the report authors. Vere accumulator check valves also incorporated in the counting to obtain the total number of valves in the RCS and ECCS systenst !! so, how was this a-conservatisat 17 There are large differences between check valves. What is the impact of this on Seabrook's estimated results?
An iten under consideration for advanced nuclear power plants is the ability to monitor pressure on the low pressure side of check valves.
This could provide early warning of check valve leaks and would provide monitoring capab2!ity to help assure check valves were operating properly. The same monitoring capability with respect to RHR suction line valves could identify if individual valves were afspositioned or malfunctioning. Vould such a system for Seabrook be of significant beneist in reducing risk in a reduced sise energency planning sonet 21 The first MOV in the RHR suction line is identified as not having a sten mounted limit switch. What is the tapact of this on plant risk and what would be the cost of adding appropriate instrumentation so that valve position would be indicated?
l 21 Why is it conservative to assume that MOV valve leakage and failure upon l demand due to a sudden pressure loading are the same as for check valves, f particularly if the check valves are already closed when esposed to the sudden pressure loading?
21 An ites that concerns me is dependent failure of the RHR suct'lon valves.
This is not mentioned. Vhyt e
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22 The split fraction in which the flow is greater than the re!!af capacity is given as 0.09. Please provide justification for this with consideration given to the previously identified concerns regarding RHR suction line valve failure modes.
23 This is a cursory list of actions an operator can take to mitigate the accident.
23 Vhat is the frequency of failures in the pipe tunnel that led the authors to conclude they are very low?
24 As identified earlier, little thought appears to have been given to the real world of mitigation. For example, this discussion of potential
- . actions presumes the charging pumps still work. Vhat procedures esist to turn them off prior to damage.
24 The meaning of the following is not clear: "The second consideration is contingent on the interfacing LOCA being located in the RHR vault at an elevation higher than that required to get significant scrubbing due to flooding. If such a leak has occurred, the configuration of the vault is such that the leaking primary coolant itself will flood the vault.
Esternal sources for flooding the vault could also be employed." If the LOCA is located high enough that flooding will not provide release I
mitigation, what does all of this mean?
l 24 With respect to modeling all of the laportant failure modes, I have already commented above.
i 25 Are the energency procedures at Seabrook updated as identified in " Top twent 01"? See also the middle of page 3-24 for the same issue.
27 There are a number of cases where the combined sump pump capacity is l sufficient to remove leaks and keep the vaults from flooding. In these casas, the RHR, SI, and CS pumps are assumed not to be impacted by l flooding. No consideration is given to failure of one (or both) sump pumps.
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j 30 "To our knonedge, the IDCOR evaluations discussed above have not been refuted by the NRC." This statement adds little to the report if a knowledgeable reader is involved. There are many things that have not been refuted by HRC which NRC has not reviewed, or which, for whatever i
reason, nothing has been said.
30 The test indicates a pipe failure probab!!!ty of about 6 s 10~' if the low pressure piping is esposed to 2250 psi. This is based on an assumed probabi!!ty of failure at the material yield strength of 0.01 and a probability of fa!!ure at the ultimate strength of 0.99 As previously identified, temperature is not specified.ls it the 350 F design temperature? Please provide substantiating information. Cover all components which are esposed to a pressure or temperature which is above
, the design value. This should also include items such as the RHR pump seats and seal material response at RCS temperature.
What is the masimum flow rate that can be injected into the RCP pump seals? (Of potential interest since it may be an alternate path for injection into the RCS.)
35 Shutting an RHR system crosstie valve is identified as an action to help isolate a LOCA outside containment involving the RHRIS! systems. Has a careful evaluation of these systess been performed to assess isolation strategyf 35-36 Relative water levels in the RHR vaults and the RCS are mentioned.
What are the water volumes in these regions as a function of elevation' (Of partleular interest is the level at the top of the core and at the elevation of the het leg connections to the RHR.)
36 Vhat is the justification for the statement that the water level in the vaults will be approstaately the same as that in the RCSP (1 do not agree.)
37 Vhat is the likelihood that motor operated valves can be used in a flooded RHR vault?
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l 37 "End state DLOC contains sequences in which the interfacing LOCA has been terminated, and the ECCS has been degraded (D) (RHR or SI pumps have
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failed). The point estimate frequency of DLOC is 4.0 a 10 per year.
The additional failures required to achieve core melt would lower this frequence by at least one order of magnitude." What is the justification for this conclusiont (We have already lost a portion or all of the ab!!!ty to inject water into the RCS via the usual paths.)
37 (Bottom of page) Why does failure of one charging pump lead to core melt? The perception is that sufficient flow could be provided by alternate means to keep the core covered (two other charging pumps, perhaps the reactor makeup water pumps).
3y " Containment recovery is assumed successful once the containment spray and recirculation functions have been accomplished." Please address the likelihood that initiation of containment spray could reduce the water content in the containment atmosphere, thereby making possible a deflagration involving hydrogen and oxygen. In addition, address the behavior of core melt in the reactor cavity and whether late addition of water prevents containment seltthrough.
45 What is to be the status of the " temporary" 34.5 kV power lines?
44 What is to be the status of the mobile power supp!!ss?
46 Vhat capability has been provided to connect esternal pumps as identified in the second and third paragraphst (The brief mention on page 3-48 may laply that little has been accomplished.) Use of a pump to staply inject water into containment via the sprays on a short term basis (no rectreulation) does not appear to be identified. Has this been censideredt 46 This page identilles a number of possibilities. Vhat are the specific plans?
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48 There have been several references to purchase of a mobile electric generator by pooled resources. What is the !!kelihood that such a generator would be needed by several plants at the same timet SECTION 4 ,
Chapter 4 contains !!ttle elabaration on the accident sequences which I have identitled earlier as receiving inadequate consideration. Indeed, the material in this chapter appears to substantiate my concern that potentia!!y important items have been missed in the technical evaluation in the Seabrook (FLC) document.
12 A generalisation is drawn to the effect that not-through-the-insulation heat losses are large as compared to the heat generation rate. Thus the conclusion is drawn that "...the primary system heat losses are sufficiently great that the potential for long-term revaporisation within the primary system for a PVR with a large, dry containment is negligible. Therefore, this issue does not influence the Seabrook Emergency Planning Study." This is incorrect. Lets start with core melt. If we apply this argument to the core rather than to the upper plenua, we can argue that heat loss from the primary system is sufficiently great that all generated heat is balanced by heat loss.
Therefore, THE CORE VILL NOT ATTAIN HICH TEMPERATURES AND VILL NOT MELT!
(Thus, we don't have to worry about any of these phenomena, and all of the work is unnecessaryl)
The fallacy in the argument pertains to the location of energy generation and energy transport. One must be able to transport the heat to the location of loss without attaining a high temperature. This is clearly not the case in the core. It stallarly is not the case for the upper plenum, but the situation is not as clear. There are two contributors to the problem:
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- 1. Most calculations of upper plenum behavior involve one dimensional modeling of flow, and any fluid (liquid, vapor, or gas) that passes through the core is assumed to flow through the upper plenus and out the hot leg. This modeling is incorrect for upper plenus behavior under severe accident conditions where a major portion of the core has been uncovered or the core is being vapor or gas cooled. Strong recirculation patterns will develop which link the core and upper plenus temperatures. At pressures in the range of normal operation (typteally 2250 psi), the !!nkage is strong, and some of the apper plenum component temperatures can be espected to closely fo!!ow core temperature. The strength of the linkage diminishes with decreasing pressure. Although some calculations have been performed which indicate a qualitative coup!!ng, I AM NOT AVARE OF SUBSTANTIATED QUANTITATIVE INFORMATION VHICH CAN BE APPLIED TO THIS ISSUE.
- 2. A significant quantity of heat producing radioisotopes probably has left the core under the conditions of interest, and substantial deposits can be espected in the upper plenum structure. Most calculations incorrectly do not include thus effect. The influence of the incorrect modeling is the same as in ites 1. THE
. UPPER PLENUM TEMPERATURES ARE SUBSTANTIALLY UNDERCALCULATED.
THIS ISSUE CANNOT DE DISMISSED AS READILY AS IS DONE IN THE SEABROOK i
(PLC) DOCUMENT.
12-13 The report authors are arguing that that little material will be released with the exception of noble gases, even in the case of eventual high pressure containment failure. I suspect the contalnuent staosphere will be depleted of osygen early in the accident. I wonder what happens if the containment is suddenly opened with all of that hot stuff around inside containment that would love to get hold of some osygen. I as particularly interested in regions where there are large quantitles of material, such as under the vessel and within the vessel.
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15 The question is not the temperature at which aircaloy can liquefy the fuel, but the temperature of a significant quantity of the melt at the time of release. Vhat is~this temperature and what are the vapo; pressures of the constituents at that temperature? (See, for es.aple, Figure 4-14.1
!? The discussion of the feedwater pipe penetration indicates a probability of 17% that the penetration fails and 83% that the pipe fails. Pipe failure is stated not to be a problem because the esternal feedwater pipe and valve will maintain containment integrity. Ve should check to see what valves are involved (checks?) to assess the situation if the applicant is taking credit for this behavior,
, 34 Vhat is the status of the decontamination factor of 1000?
34 For the case where there is no suppression pool, % hat is the likelihood that the filtration system can hold the fission product inventory from a thermal aspect?
43 "The containment atmospheric purge line is the only penetration that can be opened during normal operation and provide a direct release path."
Vhat is the likelihood that one of the large purge !!nes will have failed to seat icitowing a refueling shutdown, and that the failure will not l have been discovered?
70 (I've only glanced at portions of this table.) Is the basemat thickness the overall thickness, or the thickness under the reactor cavity susp?
(These represent a significant depression in both Zion and Seabrook.)
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ENCLOSURE 2 OBSERVATIONS AND' QUESTIONS PERTAIN!NC TO "SEAIROOK STATION EMERCENCY PLANNING SENSITIVITY STUDY",
PICKARD. LOVE AND CARRICK, INC., PLC-C465, APRIL 1986 I have low comments that were not made in Enclosure 1. Such cessents are not duplicated.
SECTION 4 COMMENTS I The second paragraph does not provide the background for the conclusion that the release via basemat neitthrough at Seabrook does not provide attenuation as would be the case with a soll based plant. Seabrook's containment rests on bedrock, but is not bonded to the bedrock.
Therefore, if there is a basemat seltthrough, the contents of the containment are assumed to vent directly to the atmosphere via a gap
, between the bedrock and the containment. This may be a conservative assessment.
I' The last paragraph contains "For consistency with NUREC-0396, only releases during the acute accident time of 24 hours2.777778e-4 days <br />0.00667 hours <br />3.968254e-5 weeks <br />9.132e-6 months <br /> were considered."
Although I have no trouble with a consistent comparison, as I have commented previously, I don't believe we should !!ait the assessment to a completely consistent basis from the viewpoint of public risk. (Further, there are inconsistencies anyway.) A public risk assessment should be achieved, and items such as the above should be justified in order to be escluded.
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Capcdy D. / k.urtM/y n F bxur a 9/ ~ gtr y 0 Lntd Ms.
E.l Hab.ial % pufie F./ s-,ycof e t w 1A e
1 88M NX If TITLs g
sY gp e47s i, STRUCTURRL mECHRniCS PAGE couveny, CF Job N:-
- v. 4 i i
j CHKO. 3Y DATt. I I "y ammmmmmmuna RS,S,O,,C,,I,RTES , ,,,,
(4ppunx R . Cale-fcJ& of &o.- spao~c a f Rps<
(seau tiry of lff'ri dtQt1. a l Bars a/ Op ex e
I \ \
'. et, Ns .
i N T M
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9
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i
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i
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tm.E 6 cr
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STRUCTURAL Pact MECHRnlCS coWWENTS J:b N3-CHKD.BY DATE- I I W" RSSOCIATES 0$C4.lQAO%-
f WWiH M& $4 W
- a. = R ccn L
6= a. n B =
R cm e s~ 9 -
C =
NSL .
/
e - a cot & = R a>p*L ln ,L /
p= R- c =
R(I-n s) '
h, 63&
,b - ~"E d/ #" # # ## d ' I~*
p2z j,g g $ BO4 d && D cc5L 4 sSL -w L
=
g, x Rmasa6 O _
!. s ~ a. , g, g ,
cmL fg y A I ~ #" A
.R= CO* d-su @ -
p dm 0 -
l- n g a m 1- a a w/f = ex ccip0
~
=-
+ Z8 cm cm a
~
coob 4s- x 6 = l- 4A 4 og p
> 09 m'9 wL fH IN 2 ) fg
f CD9 0 d2 d9
=. _P** .
l+ p 2 .on'8
. . . , ,1 a ca. < up TITLE sv W DAT: i l li 62. g STRUCTURRL mECHRnlCS PACE b CF couuturs 83b Ne-CHMD. sy DATE- 1 I =WMRSSOCIRTES **** ***-
Jn RA9 =
& .opa w n g af p p x RA-9 =
be spacag u apx afm m
f = maRo of hw spacirg m & /
a pux / cau
- a. = 60 o l- M d6*
- > p -
go =
'6. 2G B a3' e 2 nke
/x 9=0 gg j,c,g 9
- =
- 0. 21o V sf ~sai fr 8 45 o d2 dg = -
.24% a ts" - =- D. 1 % % -
11 242 2 (V2)
(spang wq f+ afx - )
aks b 8=45
/A 9 - . 26% 45 m 2 = 10. ; l- ret ~t 9t gnd af apex) .
l
sv bk cars i G i B2. hECHAnicoSut is cmo. sy para 1 i m AS,S,0Cl,ATES ,,,
s' hypc rt a'ix 0 Eon.uwu, 29 las m ja py,n a g
,(Q + dQ )(<a d,-) d'9
, p edG&
I6 d~
{hr+dH<]{<<a'
,- ' W & ,ae.
, , , , ne O '
as (n e m)(n a'r) sir, r de. n s, e a < dH1 dB vu/id ro,w :
[9 ' dO){ w + dc) d8 = p rd8dr -1 Q r d8 l + Q<d 9 + Q dr d9 s do.r dB = p r dr d 9 4 g,- y'g O+w #0
='
9 pc ('sI)
$ { Q< ) =
pc <
TITLE STRUCTURRL PACE b G F- fab N2:
sy- M oars l '2 lC2- mECHROICS couusnis-cHuo. sy oATE I I RS,S,g,g,1,RJ,ES
%6 E9 ~ ssw .
He dnD He d<d9 49 ,
Y' H g de Mg a's dB = H, ct, a'e 1 <r a'M de C'
4 0m a'9 & r +
O(Q.)3)
=> Mg - M,r r a ag' + Qa- fe2 a) ne = A l< k,- ) s ar tr>2i,)
mor - .m p'=p,=n et.
l 4
h r f " 0 ) " f}* T z
=> TD= h fo 4~ + (,
o/ [)
- W/.
> Q
f po T4 gir. o, a w => G-0 O '
Y (Jo T fSS
tivi.e STRUCTURAL PACE CF J2b N s y- S DATs 1 0 1@2 mECHRnlCS coWWENTS CHKD.BY DATE- I I W" RSSOCIRTES a c.'ie. c.ee-Check Ove v ol{ eqvoli briu m :
~~
(( S O
, w ,'po :-
g
'{ h e cwate spa.
Aa//4h '.4g b/ ,
ara f.
9, 826 ->
~~
r Mr = f(wg -
o i) &
- q (so, S 83 C }Q-ro'<=ll(27 o Olr =
{ fo T v Hr -
4 []Mg di +Q ] - f po r (ss) or ./ lig= n t. = %
H, = Moo + hn f po T (SG) u.
bfo !
H eo ( , ,
. ~
Tir u av SP CATE I l2f E STRUCTURAL PAtt mECHRniCS couwenis CF J:b Ni caxo. sY DAva I I a c9. .'s. .ES
[Os a.
l&y l0a LY.LW LVr C<<far 4Ad n.s& + ve ~c~a~/ capa cd j - ve u n y M, M.
M Ng,o = N, Hoa - f p; R' = -H.
m H, + M. - _ f, po R po G(H M I
=>
)/ R' b) 1 g
f.
9 SI -> Oc -
lp "k - l,p, ' s c&r n (, .
/ S
=> Q_r -
f /4, 5 + C i Q =
f p,'<*- 7-[ci-o n- u (D r .
a p~a )
2 7 84 : r Mr =
f(Me - oc) a'r + c e td Me = Hoo =
m fa 2
<%= <r M>-
ec f N fo T d'r 4
[2-
=
a Moc, -
$ pc, '9
- n Q
f ,po ' v ' +
M,, - M oo - }' h?)
TITLE STRUCTURAL ' Ate I cr J:b Ni av b cATE 17-i92_
3 mECHR0lCS couwsuis-CHKD.3Y DATE I I W" RSSOCIRTES (H'Avh 4 Sh $ h$ y ff Mr =
%+h h&T -k (k Y (69) p- p- po r p'<
q Me ~t ~M apqce Meo 6 OG "
NG U~
WO 4J kg E % Y W T0 YA 4l A.
V 1
1 l
GY g DATE II21 g STRUCTURAL mECHAnlCS PAIE CF 'bN comufnis CHKD.BY DATE I I AS.S,0Cl,RTES Oppem. dix C YNfd % f% / f%al % Copac<is u
e ee L t)twh aa n-
/
, p
~
~
'T*O f$t'O%- = $
v i -
. i
- f. i bh - - _ 1 i L6 2.
'Kfaliv< rofa/ih el. b @ ,
R
/d M. = wpise aowat ~ n / cap. orr=R M4 = p,,itiu&,q m g , up
( M ,, = Vf_ a f aa R, x / - a e g ti h e s Hg =- ff, &)-
=
hy (d H.{Rh6) + ol{0 R f1+
y H_ E (2r) 4 j . 2 tr X%
= 2 rih,+Ft.)
9 po~ p soao' p i M a n i 'ir R
l l
l CV P cATE IM2 g g STRUCTURAL mECHAnlCS PA E O CF A b N ?- l couvents cao. sY DATE I I RS.SOCI,ATES e ,,,
c f R_ R po =
2it(W,iW_)
po -
el'tt,i+M.)/R A&-
a, o mi$ ~ ~ a , ,
a gar y I
^
3 P- ts *~
-, as a'p y toad l l- {)~ f 21 reds v,
~
Y'f A' @ k Wl410 ua
[ L I- i)po' z w r' a'r
=
2r po
("l-f})-yrpo'R' 3
=
f W 0 fo -
.'.. fo,- p- po + po r , sa voA u o, m zoa a' a .
I b 2 h T fo $
- f Y S.fo
7:TLs
,y /2. 8 ,, yg _ l111 B2-STRUCTURAL Pare CF __J:b Na mECHAnlCS COMMENTS-axe. sy_ oats- 1 I
'Ir M W O 4 % l0 0 Wf =
.h~lMaf &gg So&W
=>
b Tr(Jo R +
f y 2 x f6 =
2pr (H, 1 M.)
-> po ' R + 2 po R -
12 / M, + M.) (C2) l e
t
SY g DATE I l g STRUCTURRL
( Ql PACE- CF t'ab N2 COWWENTS-CHKO.SV DATE I l WM a con c....
Appe nclix D
%certaiatv
~
in F cxuntl Clrem & of Coacret e m e nbus
.es vC-h g
h 7 q />tc/sk &$ = b
(~ -
+
> T = Rs 4, Inin feu n
'- ~ -
.ig g'
% /leurateopouyy fu a .ucAk w& /rin O otut % ~a' ~
~M /~ u , a , a~~g hwin fu k Ma =
? g a'
- w/ p= l-ii 3 T=94 3 a = l
- o. t s q, b- 6)i)
Q =
T fi- h o,gg; y({) d [0 r,-
r~ s - a, -- J ,c.o.v=p, f ~ b y al, c o - t c,c.o.v. jQ; Asa dn ( S .,. e ( &s /q<<l
TITLE sY b CATE il I i g g STRUCTURAL PAte 5 cr J:b No MECHANICS couvents !
CHKD.gy DATR- I I """"""
WM ASSOCI ATES a ce m. c re.
v gu Ta T, mpf [r) = C l H Er ].
v
$c ._ he V>Cy f E;;) ~ b bI+ bl) f (93 i
& Er -
n m at'l m =0,d.aw. -
$7 )
n "
. [6, = .
foi D2 & D% @
v v Mw
? dit Er) Td( t- f &g ((, '; )
- c v' T V! # "
o, &5 cf' b Dh O n gz 7 04 z.,. )- i j / z. 2z, - eq )
=
k + Td [ Er O- k )+ t % E sa (n) n,s k =
Y {-d (DG) d
= 1 L .
tor) zo' Ma= Ne {l + 2 ,. {'~ v" Eg{
]a g thn ce.
R[neli-ik)+ r v
egg ();
big 7 rmal fmn Q , S. & = ~
Ya /0- [ai @r'+(fade
TITLE STRUCTURAL PATE GF Ab N2-sv b cats i I21 9 2 mECHROICS couwents-caxo. sv ._ para iI AI.S,g,g,RTES o,r Mg
- lyeal wAA < 4 COV*
(3 x
=
0~dff*hghc.f bOS
" " ^
fMa 0
r i b 2d[
- WP < r I0 bO t Q fd[)1 br -
J ~
- 0. \ .B W .6Gl .35 .oss . 4%
D . 2. .%3G .0% .B . ii t .760 0.3 .%1 . 6% .B5 .ITG .G7%
0.4 .7 W (.DGl/ .B . 150 ,GCS x x valuu of [ g [ [ 7 Table - 91 as calcula/tK % 2. 9 D9.
1t fotAcw /s ra R e - 0/ , t4at 4 a accep/cBee
%d u&dh %inm//ec fo t% A a.
R i ..e. k C.O. V.
//$r
=
F% ' A /.Jh~.oz '
\ capatub o$ ^/ki^# #4 eso e,e n */*SAao
ms 0610'00 N CF f;b N:
STRUCTURAL PAos
,y EP car, e imi S 1-- mECHRnlCS cCMMENT4 RSSOCIRTES CHKD.SV DATE I I W" *****'*-
9PPENDIX - E M ". -
Mdvial kpedits g
.- . . . . . . . 5 30 --
j g 28.5 2s - . l.
C~-r Stul SR 51G-G< GO '"
- 1 g ,y $?) <{o
% hp. 5 vatm fx Sg u c/ mx> m, t e'%p.. S 3 = S2 ld.
2 al DI F 7 2 6 ,. 5 N G
3 .. . _ ..
/_. h [m l ."j y } '
_.) & nfts of Ink af ro n 14ua/ac.3. .=: ; .: . ._ .
}Jid Clagk _ _ _ Luh S/qfA C%
1
( hi ) { fr )
(h4 . . _ . -
Uu) ..
L 9,)
W.4 ._ c.2 . _ 6 5. 7 .._- n _ ~
31 gg _
.T . g .p ~ ~
~-
g
..: .. . . . . : ~
4S.S . . . .____
- G7.5 -----
S\.
. \ p S . . . . .. . . . . . . : - 1%. 9 ______- - - - - - - -
45.4S M to = GG bz pg)+ 5%.t w y'da' dipA. - ;
t.o.v. . .t.4,9o L. O. V. = 4.'LPo ,
c,g, y .gp, i.p _. 6.1"<
.y 271* F 24 5 m d/ipG._3ida' 4/9 4 .A -
u g - ogS y .
_) .fy = eg - 4 5.+3 . = - 40. 5% -
57, uusl y i Lp. Od - m c .o.v = - G. 5 % ---- - -
im.t 6"^ l ' -b sv 0 Pid DATE'T II71F ~
g STRUCTURAL PAff Cr Jab Nc b '"
mECHAnlCS COMMENTS bEP ' f' hr k
CNMD.3Y DATE I I w- RSSOCIRTES j a c.us. c.... cNr"ud f <
ff b.n r 4 13 4es4s hvere c- Iel sfress
- 72.3 ks; Sho< el deda h.'ou = 2.0 4 k s:
\/ = rg = jf,#[ : e. o 28 ==> He)l- y.cl) sfress - 72.3 ks,'
Su n-.e sr .'
I Le s:>e Mel y' ell n
tr
- 4 70.5 ks: 0.03l
- r 67.'l 0.031
' fo 67.9 0.03'1
- 7 70.o o.035
'S 69.b O.034
- 4 70.3 0.040 O
- 10 70.9 0.037
- (1 70. h 0.040
" 14 73.6 0.03l
- 18 72.,3 0.028 To k.',. 3 s ;e e s "4
'11 as a <3 rose Me):n y,el) s4ress = b'1. 2 ' ks:
and ru = 0.o'10 Bdoi Leof Q2/c4. aW% a6% y w&A 4 d* cA 3 de 76 . g s~ Y. l(o ,
tv
.g _
oAre _.h t g_ ~mECHA0lCS STRUCTURAL.f_^jf_ .
C
_ f__ '2 b N2-couuante-CHKD.BY DATE I I """"""
WN ASSOCI ATES a cene. c.r..
del ~an-al<n g"wk A' _i;% dud -Abw
,/w ufhmab d & K M. -f /g & _..- _
__ _ _ la/_ d n u s k j /e.~; &.-.s a . N.ht.):: ~ F..
g 109. 410.23.us.% G - - )114 . 4 f" s)111.llii~.li R) tiol._ .iii .4s)iii.4 109 ~~ 5- 4) 7)I no.4- i 1.0 10 t , S 10b.0 no o tos.% - 110.0 t o 1. If i1c.6 10 5. 5 no,S -
IIO .0 -
tos .G -10 S.6- ietTS ----10 8.C - - uc.s
__to%.S 109. G 10 % , 6 10 9 O i n__.o 104.5 107.5_. 102.3 i i G. _0__
109 0 107 5 .
ut. S r :104.G .:.10B . 5. . .__. It6.9 a C. O 10E6 10 3. 4 -110 , 5 105.0 107 5 _ ions - 100.4 tn.0 tid.4 tog.S in.s tos.s 104.1 ns.3 in .o
_. tu.t- 109.1 no;S n2.5- nico 110 5 -
107.3 u s. S : .105.5 n 1. 5 . . . _ wt . S i to .e
). 3).__IiD.S_.__S[110.0H I ._0.__ ~
~
~
110 3 . . . . 107 . 5_1t_). l0.9.5.
10N)_.lo 0. 17 3 --In.9,.0 . ,0. .. ). a u, .c _ . . _ . . _
- 1 i o .o- .o 0 ,:S ... ;_ _i 1 0 . 4 i t 10 0 110. S _. 110 6 n..:10 % S ._ -
i t o. S - 110.-$ 10S .0
_1u . 0 1H . -9. . M 1. 0 10 107.6
_ to . 0 .. : . :in . : S _ 10 5.5. :_;.ca o% .1. -
t 31. - 167. S _ ..
._ .105. 5 H C . S _ _ 1 0 7. 0 : _ 1 0 5 ,:S . r x ._-
.10 5, 6 10 % . 0 - - : :107 .~O - -
110 .3 ___ _ .
10G.5 10 b. B 1. .:los . 4 . Ito.%
_1C6 5 lot.G .
~l.01 S .
110 B -
~
ht Z /s xt Z (A x} f ~ .[: :~:N ~r# #'#N' " 1 IlOC' .
..) _T M . St -3N,.IS__T (=~a&A = wp 32. x
~
1 4
_ jd[_4f .
~
_ _ [qh, fo _ 3 q__ 544.07/n -
~
10 S.9 E Z it hG.G% 11+;O'l : / '
- 4C.Bo 116.91 0 u--== } - - l.h_.)t-~~--h Z/mxj[
G 4't.oS n l /S t . -
7 (0.05 111.34 - 1551.sg . _/.544.07-9 b . .. AC .% . - I. ! u .-._ .~t u s,._ /
. _ . 2 1.1 0 J4 S ._.__
q(;,,g) io ho, , .
bp A /AMs &m .
n 4G.S1 119 .2.%
n_ <2.s.oS ist.tS Q $% .0 7 - -
_ 155 t .M - -
- -Tm.s
~ ' STRUCTURAL PAQs CF -':bN ey ~~ k E ~~ oAri 3 1 W mECHRnlCS '~couweEs ~"
CHKO. SY DATE I I """"""
W- ASSOClRTES a ce m. c....
. mpta/ ba. DO&ve..- bMLdM Q - 20 0 :. _ __
W Z.{4 - 10CD 4-. Z. (xi - 106f .
-A .- . . .
in M 10 7 cM .. % 7- - -
_ .._26..-...._... IGoh.3 D -
- lGD.9.,_C4 -
30 2.7. G . 4 0 _ . . . . . . . .?.% % . 10 :.-
. 40 _. 3 4 4 ,'f D _ . ...
. %7- G .% -~'
. . :50 ~ ~
4 %.00:'~~-.- 42.1%.% - -
(3c SS S . 2.0 5 % 4.51_
. . . _ - 70 _I,4 L.SC fo4.30m 7O._._ __ _ _ . _ . .. _
SO ~7 2. 9. 7_O . _ : : 7 2. '+ 7, n - - -
. . 90 . _.
9Ao. so ~ ~ - ' %% 2.~1. % _. ..-. .. .:. . .
loo B o s . so - - --- :-~ 3007 4 g --- --~ ----- -~ ~ -
.,,o - . __. . . _.. . - .
. . . . . .1 L G . .
' 10 4 G % 0 - -
-- -10_. SO 4_.7 S ._.._ .. . - _ . . -_. _ _ . .
~
_. T- r. .: :: . :
- - ~
.a f4. -
toe.o.J ~L . . ..-. _.. L_
. .. = _ . . _
1_ _.
o q._ ._ h 3 0 7 ..pi.o 2. f ' ~ _ _) a l - l A. . .
~
~~ ~
c . o. v -- -f2.;. i2[io i.o~ :M c2s--------
v -
=~ .. : -lD 0 2.
.[._
- h. = ._\.G.
0 - ~ ~
~~
q - . _-. . . - . . . - . . ._ .- . .. ... --.. . . ._.
~ ~
h.4 f. =
ch _ ._ .O. . .== . . 02.5.
. - . - - _ _ - _-.p A & M - -- ._.- _- -
- . 9 _ . - __ . - . .
w . . . e
= w. e.p. ..h.
.p.
M enemmum .= .a. .- _m_.m. , , , , . ,
. w . - - . . . . . .
p.ms- m .
dem.-_ =
x.w.w M enum e _ -e.s w .--_.,.%
. m
--u.w.,m e . . . . . . . . . , ,
g
- e.m .9-h r. h ..pe.-.-.+
em__ e hpme.gmm.-e ...a .-, e .. .m, ,,
._:.. - _.z::
-~-
- -- --- _ : ~ ' _ : . :- - .. _. .
--tm. -- - - - - - - - -
CF ~ --- t;b NO
-~5TRUCTURAL TAGE
- --cY k OATE I - mECHRnlCS couusnis -
""""""" RSSOCIATES I _.I . _ .. - T CHKO.SY DATE a c m. c....
_3, .30 vl,C rEN, ._ ~ --- ~ ~ - ~ ~ ----'
z--.- . .. . - _. = = _ = = --- --;_ - ---
-~
-bbhib) f
} k & --
x p n x 2 9 _' __._t e_ _ . _ -
- ~_b N u. ,...
-.Y^__
.*..e..e_q.. e .o ..
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- f
~ -~
.ap ,_e -_em_ 4'r= * "*** -
-. .--_e.==u-*=.m-_
-~~-
'.-- ---_----.~~.~.~-..__- -
-~~~ ^ ~ ^ --
- ~: _ . _ _
, ,g . . ._4h'_6. . _ . M m. e ._w_ , , ,, _
.z_
~- -- - " - - - - -
__ l . _. _ ____.~1~_ _.__ __. J.- ~ - ___ .
Z____z--
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- --- . :-- - ~ ~ ~. : ~ - ~ T. - _
-- -~~
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W _*
- - ~ ~ '
-- - - ~ . _ . _ . .
,._gy ... e .m___=+.*'__-6* . .__4.
, p _ . . - ..e __us. . ._N.u. u. ,e_e. m m
_ _ _= = u = . . . ._ _ . .. _.
l t
- c. ::nor- . . .
-:- -._x x_________
- - --~ - -
i . . l. _ . .~ .-
1_ _ _ _ _ _ T_T_ ]__ _. ___
-- - = = .
a .. .. * ' ' ' ._ =* -*6* "* *"* " " - ' " " h . . -_ " N 8._ .__. ..e '
.. -- '.~. T : : _ ~ :_~~. ~- ~ ^_ . ~- _ -~
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-~
- ~~ -~ :_ _ -_._ . _ _ -~ . _.._ : : L-
.-_ zL }. ::_:-~ ._. ___ _ _. . . _
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~.:. Ym.s Sedroo b
_ - . . . . . . . . . . _ . . . . . - .-. . STRUCTURAL PAos .. .GP..... . . . fs b No P .
.1 av RB rd - ~~ oars 9 OJJ C2. mECHRmCS couutusi onece h
~
I emo, sy oate 1 I w ummum m RS.S.OC..I.RTES Cu or es s,. u %J . .... u .
.;...._. H000 hs: chesl$ ._ .. i .s .
s.k. ren . .; d (wkalw eeh . . ...
. .r . .. -: H:< class n e (1s D, . r- ._ . .. ..w (90
..& : .; . ;I -
H AWR b7 (H.48)
- 76. . S.400.. . ::"2.'i :- b370 U 5 :~."
. . . . . . ' ' I. '. ' 4AW67}M.is7sulel . _ . . . .
Pi . 5360. =I ' ' . 6 tov _
' j; ;:
. . . . 3: -_ ._ 4 W R 6 7 (M .50)_ ..__..
7f . SG O - IS - 6450
-.L. _. .
. . . .H . . .
HAS67.(n.h b...... . .. 30 ..
.. .Sb 40...
.. - C . . b%o
--+.h. = 5_'H.M..f s L. (24 ja y . .- ._ . . - -- ---. ... . - -_--
~,.l
~[~.~..
. _ ' . . . . . . . . - .' (..Wer6~.
FW8 d . . . Or e$e ~
. . fCS. . . .
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. . . . . _ ' . .O k_ e.
g ..
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8 d. Or . b@ eb es H OO .f. ..d i 4_es f s"- 9...... _ ...
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;r w
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Af var d "- 1.::-i.ofdh....N.l$Y..N:.... 6 v : coefflc?th...-.......!O!W.O. coeffl &. . .of
. _r - . _ _ _
'verlah.l W : f o f.- Ci O 8 . W il l.e~ assumelJ.for: .4.b.'sz cas eiz_. ..
7 - __1: . . _ _ . . . _ . . . . . . = . . - . . . . . . . . .. .. _...........%- y _q. .,g_..,. :a o g .. _ 4... .. . &..) ;, g. . . . g },- . $ 15_q yn ,- S45g 9,;
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. _ _ _-- ._- . ._y c a r e s 5; _.10-
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.ive...5450 y..
. _ _ _ _ . . . _ . - - . _ . . . . .-. . . 4 ..
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kr 'L6 Tiri.e k STRUCTURAL Paos Mcr J b No: 'I ' ' sy k r> o47s a D31 D MECHANICS COMMENTS-[ C v ' r # 44 CHKO. av OATE I I """""" WM RSSOCI ATES a c.in. c.... C e v. c r e r e. ,* c $ f , g ,. .. J !, Frc r.. p y , 4Le age foe 4er fo r 2 s -),7 c,<c, ele is I.20 T Ll, hcs s< e s 4:noked =0.IO. For + L e. c. < So l.. ,,. c 4 , vec cc h.:<I y of (3 a 4he 2 t-)ag comerele sSce,94L w;Il he use) dva to ll,a s , t) number of fes45 perfor-el on 44e 90-Joycovercle. For 4Le 3000 io : Jes:as r serere+L come re le : y a f = l. 2 0('l750) = _S700 o < l
, @u=No.tc'ro.If=O.I7 Fo e 44e Hooo os: de s l.< de a4L conteele folhe s4codoces):
v _ f,e= l. 2 0(5590) = 67(O o s .' hv = f o.tc',0.to ' = 0.14 Fo r- 4Le 4000 os; A s'm sb~a4L concrefe(MR brels3: s J J f = l.20(5780) = }9 40 os u' l$v = Yo.to% 0.0%*
- O.I4 G Fo r- +ke Hooo .ps: des,'aw s sbeevah
.a cceerede (cokol<~e<4):
= l.10(5450) = b540 os: hv=h0.l0%0.08'=0.l3 l
*e I
1 l l
TITLE " ' ' 2 ' ' ' 2G STRUCTURAL PACE M CF- hb N3 'F ' < OY h" DATe i191#~ mECHAnlCS couuants w A-~u w-re.< % CHKO. SY I I ' DATE """""" W ""EmmASSOC..I a c. ATES e.,.. ( I Coce+e. b tsee.+ hs.he. wemM . ..
% e. cif reet tem's w. hd M A % ten,its, I be % N's. ACI Sit-TT. 4 bee ver, taf.52. et'-h %
gkw- dietA:k %ilt- Skee h. % b a b.4 b h O h h cb Jic.ie.ed d verhiten d 0.15 Cae+ ActvdMg voetch %
%K m.e.w., istues elll be. on.eci .
v ' 4.g 6.4[E1,. ' gg-lo nN Cihn')* _
'h.06 k Od.
3000 os, corercle . . r . . . . . . .
- q. .
- fe,n
- b.A5 700. " 4 5 0 D s ' _
h[';N0-l'Vr(%T.*0Ih_ l_ _ _ L _* _ ' Q : . H000 es' ccecreke (c4Ler s4-roclaresh q.I , _ .f,g = b.4 Tb710 ' 520 fs: _
-fg(cNo.n%(?qf*0.IC 4600 es: c ove reke (H V % eels) a .
Sep = b.'l %%6 = 530 csl fg =40.Ifr(*4 T = 0.tf 4 00 0 p s ,' coe e r.e4 e. (c o Aa,'a edh 1 fe,p c t,,9 ys se - = saops: (3q = Mo.it. (*4 T =_o,tr l l i l - l l
TITi.s c.* -->'-< G- . STRUCTURAL PAGE M CF Ab N; 4"U C l ov M cats 9 1231 D- - - mECHR0lCS couwtNTs h* ant wer d< e CHKD. sY DATE I I "WMRSSOCIATES a c ene. ce,.. Y ( C6cMt. EtexOr<:st TeAvdIt Sh% u h Mt.50r6IM%51%.Sh h dCOnpM1%% W b be, G 8k QAOt ~a6-T1 R4 52 9eb.%. medfsg ht M,)M hkilt bbMgk % ht. %.S a. (AJ U h 4 C O M O.3 d a wa. % a o.te. h w w = msec a . 4.,c. = s.s A -
/k g do.tDN-G\.M Q'-
s. N 0.0% + \ St ~
, 300 0 PS t COHC reht .
'~ .
V _
.f,g
- s. -
.S.3 V5 700 " 2630 osl. fp, Vo.zoN(ff f = 0.'2.1-
.. 4000 05: Cor & rehe k6Ner shroNore<\ O
-M.c I p 4.. r.:S.3% 7 (O = : BED 95l .r i)D.2 c5 [M'[ - 0,7 l . .;
C. . Tour,Is)
~
NO O 'O e C C H o t-
. . O ' . ' '. . ! ~ _:... ... . . .. ..
44 '8.3'fb H O "' Y O A5b hp 7.YC.20*, N [.r C , '2. l _ 4060 os: , c.o..e r e 4 e. (c cAer,'m ed)
.i
)} * *3 (5 Y0
- b>50',AS f # YC.'bf s-(
~
' D.YI
c >
'L TiTLa s * "" ' ,
STRUCTURRL PAoa@% CF 8:b Ndl" f j cv M cAra9iPI's mECHROICS CCWWaNTS M '-M % %' A t I CHKO. SY DATE ! I W" RSSOCIAT.ES a cesse. c . . ( Che W. Modolos, o+ %e'dA. , .
.__ ."h. bveuks. eccerrvneN3b kgEt4teence I . Im htWeVed to U pc.The besd edimete.d 'ihe. secard.coh Mulus.M e.M.sh'es'g b%e. dresa, levels.t8_.irdercsi,,_ThA#ormule N p in Egn. Qh Wo.. T.eVeeenee. $1, repeh. %+%e. coef41 clew + et varts+ fo n d % S e c e d rvc & Oti o f e W 5 5 le st. . '50 *t? 09 uhimate. A is 0.11.4. This, vetue, ccin&med wMK.'ths.speced due % .conere.'H:. .'
iifscg'W,.tew% .M.W.gn .C,')_WNc.h_k. .osed_.h colc.ute.+e. he_. . ..' .
.-- .ce44icieni o% .vdvdsh % . _l __.. ._. _. ._ _ _ . _ . . _ _ . . . _ . ..
_ _Ec.2. enedioruerceek.e. snedulus e9. ele.nAfcig. ' K1.000 Tc,. 4st> ._ -...(,s>..
...___......l p
5 g- --
', .CO U. '. T.0.17.4 4. Qccy
. g }T _. _ _ . _ _ . - 2
.. .. . '. 9 41.?t 0.ts (COM n, f _ (.t). _ . _ _[
. _ z. . , . 4 ..r.. i. g . ..: .... . .. . . . _ . . . . - - - . - - - . . .. . .*
- i. '3Ob o A((_c50HcE5f[ ~ I-' ' '
k hpoo~uftw5 =i 9. so< toys:- pg, =Vo.11s cwt = o.ir 4000 os a roocre4e [04 Ner sbuhreh h e = 5 70coYb710~ = 4.b 7s IO' f s: he.e =YO.I1 6 ( W f = 0.f4 4000 os coverelt [bk L u e !sh he = 5 70cCNbMO~ = T 'B ' 10 ' 0s , fe,'YO.Ith(W$0*'4 gooo n: ,- acca u:~ A k
$c = 5 70 OVG sNo= *b l< Io gs: @ec do.izA M " D I4
TITLE STRUCTURAL PACE CF Jsb N; sv b oATE IS N mECHAnlCS coWWENTS cmo. sy oATe i I N . c9.f.I.ATES Qpe na'ix F S~ of Log +at Rua'n m'at4 X- 109 ~ 4 l Y, .) fx .
~ &p A & /
Y- topw J ( Y , j3, ) oa. x42 = --a q - ggf e7px )2 e q_a _ h<f*{frf f2 h" fEI) o s-~~ ,- n -u . /, l e
4 O e ea r 5 c
**w Io .teum
=
.s
=
9' - ee e
*
- u
*e
. ..+,
%. . ...n._T. .
e e p , , . * **
- h v. .- seew e e *%se =+ = w e e,- de e e .4' s.
gg +-4m 6 .es me o. Pee
- b. 4
- c. e. -,
J n' e te y e b 4
- e. .
g i 8', 9 y * *- d .
- wen e d
- 9 4
*.T7 **?* t ,**;
.g e %..?e e *em
\ 4. e J. 4 .
.e.s so ,
- S ## b b
4 g > ee .m 9' &W . tog e ,
.. %g
, - ce M4 9 se . ~ ~ . ..
- *%a s. w . .
- ee
. e. , - -w e 3,.-+..s~- : *4--., e' gs-A e, > f, 9'-
. wy -- -
s ery
... _ay.p' ., . <
N
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.e - . - * * * .'t
%.D- 4,, -', .
e e - .... g 94
*gg -.g
* ** .;9;. " . 4, # ._
9 9 g =
* 'Sta-s*$ " w 4 B'4 en e*++ ,
ss,
- n h
TITL.E S CF Ab N: STRUCTURAL PACE cv DATs I Edl MECHANICS couwenis CHKD.BY DATE I I W" RSSOCIRTES a c o n'. c o's. RE@erewces 9 o-
$. fu&-rd Stalin, Final S@ty' &q.+4 /Qort, Paoc % ce %pgy /w HnpsL u .
~
2.. wta, f. & hw, R. H. , " % y y GQ
,Lk, 8 " .ow f u , M' gras M g.
S. lx oGlikaf Rm&a&'&//es of .%~c . L 4 cc < Fa u for Lots & LW4 ge As zin NacLear fa-<as~g k< w , ,. l Mf p a d fo-r fica 4 r W % k ( w d 4 ) SPfl4, Oct. / 9 go . ( f -cs w ,f .og ) I+. ' Rwfo>bc Seu ~c. dwp ' Mar & y /kju,
'VaButs , %a' QA ?9 ', NURECr /CR- 215'+.
- 5. A GM E &~h ka' kom Z% sed 6 cte ,
[(4tJS T RGHE BPV- Ill 14 ) J ' Sechn B , ' D< & sin d- Affro4cas , !97;2 , G. () STt1 DS - 5 S 2. , ./2r WW cf De "4ald kuk, Oeu p k ol b?up/u %3% y of & q noh f M d, 3 /C ,32 / ua' Sf7 SA hu m a of % p ar o m '; n e a ~ kc . of fe N r g Na/ n b h .
Y DATs l ECHR0lCS uusuis cao. aY DATE- I I - ac e.. c.,,
- 7. " S/chsRcof Decdph n cf S/Ag#. O,9 M eto l Vliez a.,s. R. 3 Nahzin Aorm ,M. pe(
Hac ljegor T. G . ; ] w al of ou Sf d w at Dmsn of the f-7SCE; fm 197 9, pp. /02.1 B. " Afwat )?resu ' Fail %c Capaes/g y 44c HiaA' nd Acl<st C}dat~g ffagn con fm - j
~ z~ t % c/m , furpm ol fx PL G 4, SMR>
St @- /CJ 8 l .
?. f%ifeacl h td % ct w ', Arf & f% .
9 ID . " Va -cea' l% ca te 29mg , Vd 1, 9 S. bester II . D~b S \ D \ , Coh cf Bra ckce /sc du .s%*p of loue4 %c/m I2. 61 Data powd 6 OE & C { D. D. So,,& , fd . (115) 4n 39 % ) l$ . I'lowjoi a , H. 7. , " 0+ch fd iOWces of fil. aOcf Tu p d.-a , f. Lp'+'g/rak &a-/ rm . , (JS if E , Vae. 97,- T)c/ 4ll,9 p , Mo .2, l975 , pp. /56 -/&l.
%u
T' STRUCTURAL PAfa CF tab Na av k DATs ilh mECHRnlCS couvenTs i CHKD.sY DATE I I -Wm RSSOC..IATESa c. . c.... ( 1 Ill . P k die9 D / & y Rpirg due /c Pipe-Wkip Wp, n L. Creebw, Prea m Jae&c.,-
%26 o~d Ath9 N.erra a.st4 Qiw3. O na/wofs divain p'z%
19 S M E, Miaur Beack , % n k , Tone N - 2G,
fxpuinfad S f a G f ? t a , /i c ~~ %p
~ ~
I5.
//
of Pipe Elfcws, V L. Q m fm 6
- - -- Erpmt ORNLlNU RECr- 2I I , %d. Ca/qq M?c-5, pcpaa e' q % 0v2 page. AU& Ka6oca -
O , Oak Ridge., 19.ae __ S7950 _ lG . Catcdafin Q R. S. Harv&r, SMR, for E< S%'c. 19%w cy zk Bu bewt W^~} SICl'k - .:
. 1 m * '-
*-emee gmemo p-M-- e e-4 Wi
- = . e
~.-~~
e eps
787'E ' cr STRUCTURRL Pair . Jab Ni CY DATs i20_ 1 mECHR0lCS couurnia CHKD.SY OATE I I W- ASSOC..IATES a e.u c .. .. SE P.bRDO K PRESSURIl AT1.Obl RNRLVsIS 06;< eti oe : To esA ~ a h kas ma w a p~ak.yo ' M fxMM & Bu meet %M y M. _t . Hetuoal: f a ce A a s 7 ' B u avaaay La. f yw; o,f tL cnfaim/ o,e mf ov ai.fcA & & llc. R4 .9f.hy&&4 /&pi F SR R , Wpl</ud sekcas' M o u a' tb Motu Ba mar 9K c f .s o, N f f o ,- en % lkk ~wa'u> . Vh aa'o'A2 M-t%h, 9 a/-ro&M h app 6 conn pe' 44 e4 aff9rexi-rah % 4 acSun'u/ n Ou' k eer/s 4 g t>Nnalc . L 14. frat u ov/MA4 Aaf wll 6c .ts/inchof cours/ k ree&+ce of Q lw Mu,- anals4. y
- 2. . eda.d.s Coa si dere al k ntwA /ws.<re capac</g x.i .b>n u.a4W x tk p a v A u c;r'
- o. ) Dead. Loads b) Acculmf T h.e v % a l Lo a o( [y. ESSR, pp EE
%c to na'e/n (kbon cy' sArcu.es , h at Loaa's a'o n of m ,/.4 a ~ ac du d/in-ore
T' 3S J:b N SY k DATE I g STRUCTURAL PACE CF mECHRnlCS couuEnis CHKO.SY DATE I I Wm RSSOCIATES a c. n. c.... Oaf 0 C4 [0% f0$ % NClf f f hA a/Lwnce of /wpua/m n ~va/ mat M+,5 S. M e mbro.vte 9 %ctLv 9s 09 Cox hiw %.e d
& bQ fwsm a ass & fo &c a/wpAac.
M Hu Mfaint ka%m A r 'fa'u~o , a n cy' d
& capac<Yg for- aluot paw 9/ Ae -
ccutoint a w&q'. 3.1 M a b r o m e. Fa.i ture. Modes e u /kmphw : a.)No/ % A e w d
- 6) & .% g %su W 54tu aw /c duw -
h uu Wes of &ax & op~gQ m at wicbud 6tue. (Lum & daa,- A to ox w&ca' spara/ce, A 4.- ),/w w . c) Tla ba w p10b a af 271
- l~ _
d.) % & M af vw fup.em f.u,re ( tupuahve- vna6n e Ain wm (, 4 Rg . S. B -% of FSQ R, e cuikcf fo k-ve. a. ut Bu)Dgi(4.- !tcfon dced kia. ., cm-uni ~alt.c p,.cu m) cecse b
vnts STRUCTURAL PAfE CF J:b N
, y, R [- oxy, il2 S2 mECHRnlCS COMMENTS DATg I I RSSOCLRTES CNKU.gy WM a cem. core.
- s. 2. Determiu aex c4 Hexorame Foree.s S. '2. . \ Jr & %%dar :
YA Tu- g g g /Ax/x 9 a) T- ~ - cc< a k n
/w -F A f A l'4,p/~or)
V=, pr' og dw
~
o g :g , Aot nE% . . fo a x cy? y. se.- 1\;I r
^
awe -aw w y c v v v M/w/- t l
, r_ in ~j Lg A)
L a t rR 3 R = u+w ca a'im cf my L o&r-P= Gtwal paum
'Uldical E p s u n apaw -
2r R T_ + w - 1r R* P b)'-pog 1 "
\d
- 2 W k E c Tc 1 + 1T k Irq Tc + j [2_j te - sn pysz = 4'9"-54"j 4 0 . an y % - ss.ns - u. ns <
~wml qre - oA mrg Jcf a~c,<d -Iso FA/p% 0.0 9 &liace. 3
TITLE STRUCTURRL CACE CF J:b N; cv CATE I Ill 2'2- mECHA0KS coWWENT4 CHKD.By DATE I I ASSOCIATES WN a cour. c***. t E = d<dxce /<w spmg k.i do secA+~ 92 uhast. R= TO'= ShD 7 (% Dtv4- 10/951,) 67 . f ->
~
-d
- g. 2.
2tr R T_+ 2x R te gc.f-t 'Zir R' /d 9c - rg P
- 2. T
=> P- f + 2- 7tc 1 qrc.+ 2_ Ig cyc,
=
- 2. ( p+ y a <tSc. + td '6c. )
b + 54 x .on + I2. -y15
= 2. [ Mo 240 1 f oQ D "
~
P- P" > F ' tups 4' m , s & x P= + l'2A g + 7,% / l [3}
+kA P pa , T, -
Idps:/ac4, 2 - fui' . G. S atof.u 4 ~owdmaA /un T ,~ b nkaf pmsun . % fcm& cal />r z.=-6 A 44ucA. cou ~ P= [g + M &u ). A)
T8 M [ STRUCTURAL PAGE- CF Jsb N - SY b OATS i E - mECHRnlCS COMMENTS CHKO.BY DATE- I I """"" W- RSSOCIRTES a c em. c.... I
%) WJr oop Fwk Ja,.,
}L dx -
A:n.n y nfmn um adnf A Joy +gc
-+ T(
c
, P x 'lR 2Tg =
7_ P R e P=Tg/R=$f.% [S)
- c. i e- vs , r - re i-ca)
i av d cats Idib ECHR0lCS cuuants CHK O. 3 Y DATE- I I """""" WN ASSOCI ATES a cane. c. .. f L '2. 2.. 2d n e don of Han %
- L Dn. c a ) Asop 6ac/<k :
%wg ufm 4xp fr~ax K & re Gt e at & C,x ek ; gd
/~
, y RTt- I2-w R2 P m'x t+vp.
/._._,, -7
/ /j m. b; d
. - - 1, .y _t y c
a y==
\ .
%: Stwen a.~atx p ~ tao n s w b<d && da-Acf ut 9-
^'
wqf+ A Cpr jsn.
$9et/ % /uwp k~,rn b) w zt'< w a l W a c d A Cw&
txtu a flat ad<k of k d~ as .sL an V zz r-u mm P v_s T N ' (z$ i
.v EF e4n s 2,s 2_ N E ,7 & jff3' ,l^[(f,
eux.. .v .ni i F assRa,azes ,, ( x<il. etpdm Tm A& P r [R A L)' = 7w R[~ A) + w' [7.) V- w/9%/ agu /wh p he x 2dRw9)Rd94 ta ye r (z . o-h 2v t 2 -
-s /*~ vu )
- cme ,
ti re.
=
2v W Lg_ rye {\- cos L ) (g) 27 7 + sr R2 e d i ,3-
- , P- 2.TQR+ V/&A2 a)r eP= 2 T~ / R + 2 4 gc 6 ga) 7
- A.
2.5 / R + /g g 1 ]) / [b fx J = TS *>
[!x=tJ g_ m g 'l - (. l pg + Tl't g '
i k#*O ~ 64 2 [g_ .3 1 5 y 1 - 45" -> (*?'[ = Pjyk = Q = ,56 so. a iw m ~ e,. g, R = go' = sw & ; Q = 42.12s" (a p, tp 2 ), \ w on v.e/ud 5 P ,
- 2. /[g + 42. l25 . O B7- [ljj) f do) I ym Pu pg & T~ ~ p~G/s e
I TITI E STRUCTURAL PACE- CF- J:b N2 av b cats I A 82 - mECHRnlCS couwents ! CHKD.SY DATE I I W- RSSOCIRTES ! a c e sie. c.... b 6el) [/) p, + V,s
.Q 'n"7*L .-
fe ~n os:rnod,. n.,, k Tn L Ljn/a A . / ww 9a em j e d i I 1
TITLE STRUCTURAL PArt M' CF Ab N2 oy E oArt ibb mECHR0lCS couwenis CHKO.SY DATE I I """"""" W- ASSOCI ATES a c ene. c.... 3.3 DeEexwuw. oho o c4 Me.% bro.%e Ressfa s ce.g : i2cudAa. duc lo: w &x Aces A & g Acer Aet Aam% oeuc Xo
&. Laop .sfue /xeoa e sww.c )
- 2. weat slut
- s. dio p 4 ofre
- 4. Le 1%u plafe.
'b.h.\ D.e/ % %
J
% s h.e t s / m a s aa N & @ f%
f w= %cn w & sluss m' Aw h a & lt ut jg i L , dm4 ~ eww A I ar" ll l' il Ed " " " did$""#
- 3. s. 2. % Vindid Buka a ce, L cc-v a.) ok.a for aarW aA9fut; fou.. Voce to i 4 S 5 : 4/8 @12",2 d a t e.s /
= 2[ 6A /^G)*
g <ca. p e a t< / Ag ts f% 1a/a a',.) a L. s77agg = 12 Ma cy" 60r < tI. & ~ cA' fo,f/. 2 .h_ ,, 12-p ^~
, a 1 4~ {k- Ese
T'T sY p CATS i 21 8 STRUCTURAL PACE CF- J:b N: mECHRnlCS couvents-caxo. sY oATc I I 08.9,9.A7,0 ( h) 6<L b dagc 4 s/ led : d<c<gc~al 9/af px.f o a., fo4 % x [ q p v g tot +35,
# IB Q ll " E. W. W dem c 80 ' /
S '8 0 NT afsm ele =8c! j
# /// $ 22
- S u ce llu wegM dat a w4 cpi % d usoj4 x lla xn /wn fxec fue n f ./%,,. &
A y eacA A.
., /><reper %/IAf A m wo6 Aag 3 6WchA
=
4.Olll x Eg =.56f' t < Sg . ; - W dw. = SC '
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T8TLE CF J:b N1 STRUCTURAL PACE sv cars I I mECHRnlCS couwsuis CHKO. oY DATE I I """""" Wm RSSOCI ATES j
- 4. rat t.vtr or Tat 9,p s e SLAS Fl.wwd capa/ci/g 0;f Ale 6m.e .s/a#.4 11/i4 a/44' wp pd.tfd bm duexy . fpmy #a Qm ,
- acAn f Ma w ag gin a2r a w e-u b mic ca p ci/p y /09 p2sy was. toc & e d .
w ar oa toAek ,&cu M/m /Ae m g giec&r M Bu traae M .ts, cojncify a casim to B a 7 % / Aa/ Ak n. a of 7
& bue s la b a a f co ~>/a w a V /c /c fjt & MNeaf & & m eck
T TLE bbO STRUCTURRL 'FAGE @ crJ:b N1
,y /89 347, / e 4 83 mECHAnlCS coWWENTS CNKO.sy DAfg ii wm a c.io RSSOCIRTES c....
- 4. F LE X UR A L CR PACITY OF SGSE 5 L f4L e
$bct f4W biM 0 -
& 1%%
aam 9t sa M s .- Fech rg y
& Lfns.J L e&vm Bail'W'3 u& ww<kd &. 27u rwdd, ox w a h d' ,/or z%
f ut u Af& /2 u aly h a L u e/n w .a - & - S # 9? S a~f as co-w sa' ou/. .H 9 <es A sl<aput appw trn e'. // w --Li n of .
- ipui& fui m (quaA6~s a% do,ozd'si appu six l.3 . & vas 7to d m /A.o- , # n; csa
^~ ^
/+ /<n fu A eo m,cc.g s/ .
TITLs 69
" CF f--
STRUCTURAL PACE J2b Na sY c4Ts Il l3102 mECHRnlCS COMMENTS-CHKD.sY OATE I I W" RSSOCIATES a c as.e. cere. l I. FL E KvRAL FAILURE OF SME Mh7
- b. I Moueaf Copaciife s n) F&<urat Capca,' of Cyb n o<e, a / Su e 6 . . a -
F.mn Sul,n IDI11 S S S .
~
T *
! Stap 4/s (d 12" L .ic.
eoe A',, w . (' j I lb-f 4 la /2 ,, p acoa r ? /9 ('f,// ,_ , p , _,_
- '; c ~
3.; ~
# z-k S#pJ.i,.._p 5" i
du ; _ ,, 1, e.Lu s.v5" u W1$ C5.6" ; z [Over /0 OnIs0t W f /%s& N~OM
=
y(3 E.75 + 2. G . 2 5 + S. 75 )
= /0. 2 "
G2cAn levnfaxin C/.u f f4 c o-a' ago~1[ 4.0/ II -
. % k .- i '/ ~ x
+. ~ cer ;. . . o. /
.n; . .
lo M G97 r d/- ~ (l,< c. T k 6 0 ,. Ru % cf b < 4.0 < . c/ .*//2 r or
=
- 1. 6 .. e /.c :- .I k.c- k G /,ca'0; ~ (c . , p, . %g c
, g 7 ( , S lt 1. 6 L . R 6 4 . % '%.2-5 + G.25 ')) = 10.1
YlTLE 9 SY DATE I I EC R I S ouufnis CHKO.8Y DATE- 1 I """"""" wm A S,S,OC, I,A ,, T E S 1 Sidion o, pg 2,3: 1 Nef Ts,.;i o r u 9 Tm = . 4 2. P . /S 4 a - 7. 5 ] 4po ;j/ A l P, & n tnas ps,- l fm Sec/ S. 4 : P= l6 7 psi 1= a'u .w . u p,-:~ /p.,-y,., . s 6ax t',4ei /j
= /4 9 '
r , L.c = , & 2 / /6 7 . / s0 . /0 g - 7. 3 J
= 54.4 9 Lip / ~ oG.
19 ~. m cs,our> n s/at d Rss--a fur i r..
&l.t&/ $ %c,- <,s't/W
-, T ,. .
- 1. O & y 4 .37 5 S gy -
. S 5 o_ 4"c.
E r. 7 2 . S lsi , E ty - 40. 5 ki / . gj,. j
;[ G. 54 la .e=V' = 5. 6G u-e 6.SG ( =
72.s 4 . $M 40.5 - SK 49
= n.s 4 /5./9 -
St. f S a- sS.CO c a- 5.94 It C= a[.8 " ?. O
av 6, g oAva iSI42 g STRUCTURAL mECHRnlCS PAGE CF J:b Ni couusure w 4 c/ /.e . .,./
cHxo.sy cAva 1 i M.6,9,9,RJ,6 dd AW. p yu 9 w hof Qxu . a cup /a% fo ig m en/v. n/.al q.i 15. 5 5 F1
~
n 14 . 1
?.o t vi35j v 'f
; 33.m 15 l'5 n.3 s5.5 >
= 2 17,76 lm al->:< c&o4cc.~ 8 %pxut'ed n+ +f Ma ,
<~ n.zu/ a(wt f (f 4 :
C Mg - 72.3 I'6.65 4 2.7. 7 5 IS. le 4 24.7:;
- St .oo
.- 079 + 4'L'l + 917-2'2- [ S hipo &:4/.<a cA- ( 4.1 i
i W a ,1 9p Ca . :m /,x k'd coupsuin w c4 ==n puAbc n.. c>.- ,.. g
\
f/- y.-/o.a/S:
. 2 . .4.~ a : Q,3,1s.g ytn.s 2.g.t ps.ip s.5)^
=
- 2. 6 /.
1
TsiLE (,I sv d# b oxygM 162. 1 EC A ICS co ugnya CHKD. BY DATE I I bbSOCl,ATES b.fflCNral [Qpoci'y Of lbaG2 bbQb l bah. . EJr>i: - eef D\VG-Di Acpc" rad fjn?2 ud. 4 / 8' & 8 E. W. , 2. Srp ,4,- T= 5 9 ' - M . =; ' / E JG.y . , fm so e/s pd fa c - 54 foc Pu &cm el
/.oop : f /B $ /2 , /c,- 7 > 44.5
/
if II 6) IC) f: . - 7< !/ 4, G , (* u, ct;onal : 4 I8 & 12 ju 5 4 ' c -r < 7 5 ' 4 19 6) 2 4
& T c S4 '
4 14 (O(2_ /g- 55' < r e 75 ' ffp . y cy' -ra cLiel 60 M u-sa.w W 0-) T= il 7 9
TITLE STRUCTURAL PASE CF Ab Na av cATE I I N - mECHAnlCS COMMENTS 8"""""" caxo. sv cars i I w- RSSOCI ATES Pco. /iu Nc f aps en'g
. Dy% p: >.. //M w~/ Jo be n/7asih b.: M (A.L ,
$1g b $ "Jf lb b -v % bMC O'. -L l0 .4 NO,- O} 6-2. .C c/ cy/m e,-
l9..o.c h - p.is.u k. Med 2 RS = S x 1L / o - I. 5 n 02 /m J (,4,- r<54') 1 = [4 (
=
l.5472.S~ = 2.0 ll
.45Q . S$ < C. 54 hpk 99 frax = lt - - 10 ' = 120 C
//
Q4 C&ta-r /fo %lxM N ::~ 5. 5 v' n_5 4.5
/
//
O -
=7 d- //1. 5 ..
S.O r ww co .u.c -S
/ eu DU Cr /CI C41 ) efe Z3)
Ma 9 = 1.5-725{ll2.5-10) If & {a u,11& fips n a )~ A (4.2.) p- n O' me 2/s y a cap as I ak&c~9 4 . k b Bu ~ wase i a 41 a c.4 a/ 2l,a c4o 2, s.c ut..e , _ /.. 4,- 9.- )
TITLE STRUCTURAL PACE CF J3b No: SY M8 DATE 1213 1% 2- mECHR0lCS COMMENTS CHKD.SY DATE I l vm RSSOCIRTES a c.ne. c... . C./ Ga %t . &s. nak o
$12 fAtf.4 f%f Y4'& /bg +40 $ M f4Y Or W ha' kaa m/ .a cd.xoAg nachpaa/.e fo ak dcp
& Jh2 CQfputg ( Ala baskaf .
& capac< ks for vzwn ana ngue y La - gnb fs- opning ~4 ax Krn Fg.4.f.
t
// .sth . CrQ ck/)
# //
- 11. 2 5 = 13 5 x- w 1_
4 y l' r ', . l Ol Y M s' , g (( -
> s inw wmsf to e,:s//
{ (4' // S 8" A f /S gj 8 " ') I, e '
- c. z . ,
T= R 3Qy
=
*D*I-@xq2,bc 50,1 '
C s , M.1
< = T //
a 8 E'c = 6 . 6 9 l i Fig. 4. 2
.s* <
.1
- s. ,
Bene Colume Jeimas
', ' , a g the best solution that can be provided in small members with 3.] 4 o
'j.,*g*
g g 3 reinforcement. Swann's specimens had a flexural steel co better performance would have been obtained if a smaller reinf
' :i
, h* .,
R g a 2 y had been used.This is evident from Nilsson's work,82 2' which < even with as litti as 0.5 to 0.8% flexural steel content and
~e similar to that in Fig.13.55f, only about 80% of the flexus y$
!j.
.'.' F s 0 attained.The investigation was prompted by observed failures
{
.f
[. - M
i cracking at the junction of wing walls of bridge abutments i:
Fig.13.54). (:i.' '. . { Clearly the use of secondary reinforcement to resist dia dj ,. .
. i.
cannot be avoided in structural members of major frames. In s i.,- 4 y B
'E secondary reinforcement, failure of thejoint after the early ons.
(I. i&{*- g g j O as in Figs.13.53a and 13.53c, will be imminent. Even in small 3 improvement wa observed'2 2' '2 2' when tiglit fitting stirre g g ;) V.7 1 3 3 q 4 the diagonals in Fig.13.51f, were used. p y.,' ! _g A suggested solution for a largejoint appears in Fig.13.56.
} c, e-! w mental studies produce a more precise design technique,it is 3 yf;i
- ~( '
gy " g 1
,-~,~v_
.a. .,6 ; Q :
%- t > . . .
f,; ': o ' g, - " n. s .:.' i ii dj ! - c 4 r- h 7 :1,. g dR J n-. ig m t i j3 e a S g
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g
- t. N ,
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g e ++ ; n. y
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4.f.
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. g$ M s if
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< :a
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g / a { 4 1] Nl >
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v c:(. ' e g g: ,. g
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- t. .
y d V,-
i.- Tiii.E sy /b l/ DATE Ihb^gg STRUCTURAL mECHR0lCS PACE W ecuusnts OF Ab N2 CHKD BY DATE- 1 I """""" W- RSSOCIRTES a c eiie, c.... To cotodon 8x cepaa /3 /f, au m ne g t.a b o n n a , 4 fi c/ A - & 4. 5 (# //G 2 ' S #l2 &' '"] d 4;xffC{. NU M 0160 A acikgdu %)OMC'*- felock , a, dw a Fy. / /. 5, wk a. cnp&ni I dau, cf .15 fc i
,i r
.=> a. = -
- B /, / 6 - 5 3 //
.1 5 Sc_ f
=) l0$
lCl= IS S - 29 = m M - Tj d = 50 .2. < 10 8 = S4 2. 2. 1.p.o 2d en~, ~ m ea.,naue to a ci is " ll 9# 9
-> jd =
90
=> H =
$ ) 502 2 - /r 6 / 8 94 9 ero4 9' be eC / 6/9
/ - =
o.4 0
/k. ca,aw/y cf bcu.c.ds6- !!> !I G
.. hfza. & = 0. G ao a m os u van aso .x 9 =
kgnal d d.
& catz.-~ ~ a j$ q aan., ing n x, c. 55
! cw kt 9a su Aa- Lqv 2, w -. q.oAc
+ 5 l/4)/j; = 0.05 a A2./s- f l.G W =3 4=0.W.
t it 3 v DATE I ECHR0 CS cu a s CHMD.PY DATE I I W- RSSOCIATES a cam. c.... I.2 t %ddFb.i fx ,.m iM c~.sq.m 4 fia de?of .src,af 4 s.<u co -, d & , If b latined b give c, ra%r deep ypsr Wc( is da /sM /w<xa ,*, T/s guld ba ps#w 4Ln a Rgm 4. S. Rassaf era ots occar-~ xgin Si & a~d &.
'P 4 son ([] 6 & ax. agidptahs.
Onec ki wis of cofa.Cn of & u spwf.<? cf, Jh skapt q? Mpi n & u c/ @ w ,. 6e ch, Lad (3 Gu a9&+nt tAat' Ha agace of LGe en x el ~ ngdom (@)~ , & or & lie icng ts 14e aapace-J jdoni afu @,@), (S) or $. 02.s! a bA a7uie n t 6' tat 24m be u ecfan k n f% 2 - A ,, % - A , 3 - 8 , 4 - B , 4 - C o,- 5-C. 74 nysu n -i 2 a sa/4/ud 9 p apLb en fe e/ik om Rg i.t S. fl.i. t.urg3 alewSed Q plak. mo/afin u #4m a.) the u gy almdxd a ma o&ut cro clu r npe~, R, 8 i c lakohd % Ex) b) th sw 99 oko4ccf al M 9-o, 8-c>,c-O , (Ec ) c ) #2. A w g eh o.6c( of A as / 'l , / - 3, / - 4 8 /- S E 7 th e w as M fi< d Q x s94C% n oA.s<s , &~ 6L 9; sics a loven bowd .
L. ....-.,
/
/
,r' j e
t
/
(6: e
- t,t } .
1
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/
I , y ,y ,
~
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= e es e e e a /
r u t =V
/ m,t
/ e ho't=1 - - -
- 'I .
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^
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- I \ **-
a p
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g.
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j \ p S E i , i G , O fr6 g ,a Ks l f W h \ g r yn ~., r~y Kx am N , e..
- co x g_ .
TITLE B Y- k- DATs $1221 31 = g STRUCTURAL PACE Of Jsb N2-mECHRniCS COMMENTS ASSOCIATES CHKO.BY DATs I I Wm a c ne. c.f..
-4.2,/ A aA,w of
, , A.. scc / w cc/ w e A -
"y 0
/ .
o <fl9 g / l e/ xN'.. = 7 1
/ efoBw rela x dM l -
, if - p a
/ '
/ K' ,
/ / s
!h
_ /j - -' l P ,46?m. e m'K ~~~ .. I , I
/ l g
/
l' d.G j... I i
/
/
/
E + d d., eL i f f h
. ' h c{ y ,
(b Fiq . 4.4 2ofaRx a e/on
T87'E STRUCTURAL PACE OF---- Jab N3 av b cAva INI Sb _ MECHANICS COMMENT 4 CHKO.BY DATE- 1 I """"""" WM ASSOCIRTES a c m. c .... (
%i& roc 4af en eA paj'm x R g 4. V. _ , 2acang uch 4 fad af p / P , vAicr. w wq
.n n ni d,.69
=3 dg~k4 of rofank wear of /3 pi g M w faA M f .<o A- h ,
- w - <s u ~
dY- A d8 L d9/tm(3 g4 s ~ u n a ,; a w a a u , w u dE,,.== [~H dr dV n, , a v/ Ho = a k q g m ca,m a /p l ## - k ##
- p. ,an,a -s ,s to H.
") #
g 7 ) 0 - tou ,, w,,p. o
~ -a na ran l e.r Mo b % gg ,
l ,- 2 cm/$ l l -_ _]
ii m STRUCTURAL PACE CF- Jab N2 cv kk oats 9 21: n 1 mECHAnlCS ocuueNTs eno. sy oATa- 1 I sumummma . 9.fI.AI.ES fofaA 92 Augg a'U Q?</2 d n WWl% Wal 9ltbW % Ee =
}g' Me L RdB
L a4-cial y eM ~mt l'- zie Mn /) Ec= "e, Mc A E Rd9 MRA c f'fdB 2= PC1 .e v/ e- coo 8 2 +
~
n Bf
~'
P0 = R e - 59 m /3 - f - z/ lP3 / = 2/5 WoA a% : Q. wfn fwsm P W= 6 Aa. P
~~ ~~~
~
2 9 {A ugc9.fzRd8P-fbRPk2s d6 x- , O 1 O f Ee = Me A R l3 fd6.If,gg[g,.g,)lf _ w= i AR P l 2 dB - l A P Pt (6 - 9,') z'g ),k) W O/'6)2 P A , A - t Me r
vir u flo/#2 STRUCTURAL 'Are H CF Jeb N3
,y 28 oxyg 2:61 82.
1 mECHArilCS couwenis CHKO. gy DATe l I WM ASSOCIATES
. a**"'**'*-
. l m ud th e/~ a. A zL -
/G i
is p. ._ L 's u u.ed m w n -/ po _ L; d< _
. M' 4;u ma w/ . y fece , _q _7% _
e d/iy p.as m cyaei/p l hsl4* G x saa$ s caedaw ~puide -- . e + .em em h m-m. __-~_ ..__l. ~ ~ ~- - : .- . _ . . _ _ _ e-u.
-eem eeo
- e. %. w ei.m
_ ___~ . _ _ ~ - ~ _ _ . _ . . _ - - e
.- e=* *6 W.
- _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ , , . _ _ _ _ _ - . , , _ . , , _ , , , , , __,._,_9_,,
TITLE O#3' " STRUCTURAL PAos CF- hb N2 cv S 8 ' cara /2,6 62- _ mECHRniCS cevuewis i cHxo. av oA7e i I - numummm Abb9bRTES ae ,,, Rc9i>~ @ .
~
4 k!b~'o) 5 (L'o) ng('A h i Tcff /2 1 7.05 1.55 G.G8 -. .I.OI z e.s7 G.so _ G.os 3 6.10 G.35 S.53 4 6.03 G.cG 6. 2G
. s 6.05 G.05 5. 2.5 G 6.15 6. 3S 5.52. ] 7 6 60 G.ts G. cc -
9 7.10 7.B G.65 9 7.70 B. U 7. 3B tid 53.55 / 6 )q - 6.G2. / i (j. ),y - o.15 1 (= 1/G.5%) v' [E229)aug = 0. 945
/
9, 9, /lG
= =
//C- h - 2_.015 enoG % /
l 4-a = {R let - G, ) l a )ay - f R G 5 - 2.oz.G ~< G .6 2 l (R-9.GStr),i = G 4. 7 ll / \ l
T T a' on STRUCTURAL P4er CF- Jcb N1
.,y 12 8 cATE /2 6192.
1 mECHAnKS ceuwenTs CHKD.py DATE- I ASSOCIATES 3 D'M ^**'"**'*- (' Ffo = toe ~,n f capwty II, II G
= Ay>o .
tfrn ac/4.)) {/ an.-J; He .nA capaca'y y y ya waAf (/ w ~d 22.16 kfsi A= 4 L.
-r E, = Mo A (9t - S ) i ff2') ~
'I
/ /, / / 6 - 4 < 2. 0 2.5 < 0. 9 4 5 5'; B5,0 47 4/po - A v E- c lie A R (9z - 8,)lf )aq' - 228 4 < 9.G5 2.02.5 . I 5 2.
2.G 35 2. Ar>o - A v' . n a' Ec E.,
- ll k k 'P49"*/' s u _ .
E:r- be _a o & f-u y a ,xee ~~a
&A no/.
~
fross W- L s aPR g 04 ) G 4.7 P '= ' oG . 2.? P b_ ._. . _. o me
~
Tii c la'f"n'd CF STRUCTURAL PAGE J:b No: oy N[ o4Ts /2i G 1 02. mECHRnlCS COMMENTS cHuo. sY DATE- I I EEEEEEEE ae 'c.!. ( g g,. Q . - . - ._ ne <-2 = G.is
~ ~"~
rg = 5.S0 7 Oz - 9, = /3.5 0/- 13.5 7ge, -
- o. 2 3 G < m ~ v 9- i R (92 - 6, )Q { 9.65 < . 23G G.15 = 7. 0 0 A "
%*lioAl6-R)fz?) 2 -
l1,1/& S.0%.2% O*' Q 6,9 7 3 4p - A . ec 3 - Q n iet- ei) & ) 9 - /
- 21 i t s.ow . zs -O/G. 6) - 250 ou - A /
w= 4hpP=4 s. c4 - 7. co P < 7.es P / Y e
m, n S/QW Af j STRUCTURAL PA!E * # CF J:b N:- av - DATE/2 0iS2 1 mECHRniCS csuuEwis CHKD.SY DATE- 1 I m aci c. . Sepik h ' k .. . l.98 2.\$ l.43 1 11_ 1,% 1,57-1.55 '6.~f5 2.50 , S/$5 5.50 %. O 1 ),. = /. 2.1 : (2) q = 2. 5 0 - h )ug = 1/2.10 v 4 9z- S - 5D.5 i 0. %B C% t, G - Pio A let- e, ) (%j) / t), II C - I. s 3 a o. g s a _ j, 2. l , ., 2.j,G G O lups _ g g E=H e e A R (Oe - 8, ) ll}& - 21 l s < l.ss 9.65 0. ssl 2 . 40
=
I4, SG2 Ays k. / La . R= t R l9z -8,) (a)
~
( < 9. 65 0. SBC 2,56' = lo. 6 A 2 - V-{ARP= g < 1, % D 16 , G P = G . 4 '2. P. ' 6
, , , . . .$rnfand <
L
,,Y}p
~ ~ ~ ~
DATE g g g STRUCTURRI. PACE N cr J:b No: mECHAnlCS csuutNTs-CHKD.3Y DATE- 1 I m bb,SOCI,ATES Totab /u bein R,&EC E) Ec W - - A R SS,OB7 2.G ss 2. SG.n P G4,7 E G, t? S 259 7.0 % P 7. O C- 11,CGO 14, SG1 G.4 2 P lb. G 4/af //5, G 20
, 4C, 9 7 3 S B.M P B 2.S
.s VM We n agm . i 4 5
- 0) y pmm P:
Rmor a g a. a v. aisp. kArk (q 2.9,54.5? 12.83 S. 52. / h 5.tG P f6 y ?.85 5.45- 7.6S e i(2s.09-+.ss).- 1 0 . 11. P ic. I < /.$ 6.'45 - 3.5 4 4/2.i.g3,s,o4) 73) p 4/&4 (up._f) 14.00 t' 3 ,. g 9 1 { 2. tS 4 7. S5 '= 10 lO / { b<4) '- 2..G 7 17. 6 S P S {<4.5=5.75- 11 . 9 4 - g (4+ 3&) - 2.SS' so.SC P 4 i-5.55 4C5 = 15.6% g(3.04tl.gs)=1.G1 15. 4 5 P s p i.s 2.1 ' = i. n uza.gs)=i.n I . G7. e 4fs, 34.4c ' 15 %.6 0 P
, , . . . Gno. nJ - , -
y E oars M $~1 S2- ECHRniCS o un cMKD.SY oATE I I - ,,{l,RTES calcula/c VM of mmd - c;. b - n c a l w a f t :
~
- m c3' < S
- 4. 5 ' < 2- w - 7 2. 25 ' = SC4 , S96 #
10' baa s tat, t 4 ' b a u n a t. 3
'r (7G) x Of -
2_54, o42 // do-m ( s' wig" L'c4. ) : 3 2.<ir (71.7 G)9_S.6 ) x
. =_ LiS ,;5 G7 //
o idd - . 171,us/
. W .ts<,Se9 = 1Do,.76g Lys
=_.._=_.__
' ' ~ ~ ~
C - l
TITLE IMOOb STRUCTURAL PA48- GF -3:b No av M CATE EOUI I mECHRniCS couunnis CHKD.sY RSSOCIATES DATE- 1 I Wm a cem. c.... OcA a%c % na clik /o dia d f6a d: -
=
AM/ .S.51< [Vq c /1) VJg folal o gA./ y m f umf & M A -
.a 100 798 4/>o .. .
m kla = kJ = - 3. 52 < 1007 9 %/L= - [77, 4 04 . Aqu A._ Luo "p VA+pdt/ A Lp> af m e/or pr2' : Ar A
+o /d<k . .
4 - 9_ 2.95 .775 . . ) i-s 1, 4 5 .44h._.. . . . .. 1-9 5.G 5 ~39 5 -- 1-5 1.'60 ._.652 ... . _ _ . . _ . . . .
/
E &Sh ' " N"
' .*:.TT .!. . .
wg3 0%9324 cf pd, . Eg _. . m , b Epa= 7.2S //, ud y (6765g - Aujkm/ _ tspac< / . 9.ee Jut. 91, D S G 'y ' li ps- k ) 3 L ot. fofat m . - ----
%2.'s + G4.5 -- I42.3 -
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sY CATE- 1 g STRUCTURAL PAEE _ CF- J:b N2-mECHRnlCS ccuunnis- 1 cano. sY DATE- 1 I m e ,, c .,,
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TITLE av W DATE h 192- ' g STRUCTURAL mECHR0lCS PACE cowurnis C F- J:b No CHKO.sY DATE- I I WN RSSOCIATES a com c ... . A=2sf e / ~t. s- n yang fg = cove lo cu/.ccec/ cy' oikh-er
% = R emp f bo<s
[n Dw& IOll/ S 5, 'Secf& f D
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tg <t.75" s = /2 s=2 ts - 8.75" l 60, obw far s.75 - 2. 2.5 - 6. 5 " D o (-? - Y < /2 9.45 /1 = 105 .., c4 2 e w - 2. 51 ( G . 5 ~ < 105 )" t g = 2. 0." Eg pr cy L. a ~ d. aS ecAh t,- B.75" ; s - /2 " ; s= f fs - s .7 5
-3 4 12-S.75 -
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4, = 4 6
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-> R- 2 /2 G =
/92 c a(2 v- 2.Si - ( fs <
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2.7" E 3
cv b oATE bI g g STRUCTURAL mECHRnlCS PAGE @ CF- J:b Nr-CSWWENTS-CHKD.SV I I RSSOCIRTES DATC WM a c.us. c ... 1 5,5 Fm Fo~.Aca i B mk (W. /0) kp h,- 4
%L /%ix epwoketof n )Gib& 5.2
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- 6. c.7 .133 < 8.7 5 < 2 8 2 s =
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/e. v = . /3 5 - g 28 E 3 -
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TITLE 43h my caTE 121 1 92._ - mECHRnlCS cauunnye cHxo.sv cats- 1 I 7 M AS.S,0Cl,RTES , ,,,
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= l l IS. gl,
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D= E@ _ i 120-i*) 15(l-s*) t~ x3/ red usit' 63p/Wf % fc jmm og = gP{ a= pg
? tt R- 0s [l- { }
= -
P{ GJ = R 6 g = - P f [ 1- { } 9= 0
=3 Cl = 4 $ r) << /
= <P (l 2h -
r - 4 M 12.(l- v ) V 2 t 7/ (b - la. 9:.t 144/1%.s s = II .. kg yes ape.a pg.
T'TLE "' I STRUCTURAL PACE CF-- - J2b Ni sv oAva l h Ik mECHAnlCS couwswis-cHxo.av oATE- 1 I ASSC)Cl,RTES ac, , 3 1
/3 4 R' P ( l '/ 2. )
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= /51.6 ~ct - P c.<
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STRUCTURAL PAGE ' CF J2b N? sY NI DATE f 25:92 1 mECHRnKS COMMENT 4-CHKO.BY ASSOCIATES DATE I I Wm a c.ne. c....
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acz coa.'e Q. ll - 2 : V=n Vt a V, Acz
- 9. lt-e : Vc - 2(it gy )$.f;b,d <
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-7 Vc -
1[ l- e.. q555.5 m .: ) v 0 6
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5
= -
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s - 3
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6 9. 9 /a< ( 49,) / -
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31.1 Q. il l h, Standard Specification for 9 3.1.2 N Q DEFORMED AND PLAIN BILLET-STEEL BARS FOR $'$'s'! CONCRETE REINFORCEMENT' 314 Dt i .g h 31.5 G: TLs star.dard u usued under the faed des: gnat.on A 6 t5. the n.imber inuned.atch f4eng the des.gr.anen tcd.um the 11.6 P.- {'s-3 s year of org.ca acopt.on or,in the me of re.aion, the year of tast reva.on A n mber Lc parenttenes ind.aes the year of.as 3. ] ,7 $ ,, - siree 3. and 1k.s speq%auen has been approvedfor aae by agenaer of nhe Depawnent of Defenue andfor Lsung m rhe DoD lades ( N03y ? g.eq Spenfocatwru and Standard 1;' los s 80 s . M' ban for u 7p$ +
than % Ln in dlafte:er sh&II be COrCputed on the Daid or;[ defs '
- 1. Scopc Y- of the sae in SpecMcanon A 510 ; SJPPemer dated _
l
- f. ,
1.1 This specification covers deformed and Non 2-A cortp:ete metnc ccmparuct to Spe - q' plain biliet steel concrete retnforcement bars. acauen A e15 has been descicped- A 615M, theit.
- h. ' 4. Materi.J '
, A deformed bar is deftned as a bar that is fore, no rcetnc egnaients are presented in tha '
e intended for use as reinforcement in reinforced 'P'f* " ^ 41 The concrete construction. The surface of the bar is identined t
- 2. Applicable Documents l . h'e prosided with lugs or protrusions (heretn after 2 I #M S'3'rdardr using the .
Y. called deformancru) w hich inhibit longitudinal e, tric-furnas h.
% ?.
mosement of the bar relative to the concrete which surrounds the bar tn such constructicn A 370 Methods and Deftnitions for Mecha:- ical Testing of Steel Products' ' t
- 5. Chemk.
A 510 Specification for General Require' 5.1 An .
'b' and conform to the provtsions of this specifi.
! M. cation. The standard sizes and dimensicas of ments for Wire Rods and Coarse Round ii made bs i l Y b deformed bars and their number designations Wire. Carbon Steel' A 700 Recommended Pracaces for Packag .!, q gateo p'rt-heats The shall be those hsted in Table 1. ' 1.1.1 A supplementary requirement (SI) of ing. Marki.ng, and Loading Methods fcr phospher.
.f'.
Ste:1 Products for Domesne Shipment
- 7t, p;,, q an optional nature is pr'ovided it shall app!v~
2.2 Mdaary Standardr not exceed i *8 on!v wben spectned by the purchaser. l'.2 Bars are of two mtetmum yield lesels: MIL STD-129 Marking for Shipment ar.d l i 5.2 Tht M;U namely,40 000 psi and 60 000 psi. designated Storage
- mined sha MIL STD-163 Steel Mtil Pr chaser er t
[s.' . as Grade 40 and Grade 60 respectively. tion for Sh:pment and Storage,oducts I t Prepara-5.3 An
,8J 1.3 Hot tolled plain rounds, in staes up to 2.3 federal Standard chaser fre
'h.';
- and including 2 in in diameter in coils or cut '
lengths, w hen specified for dowc!s. spirals and tent thus J K.V-structural ties or supports shall be furntshed ified tn 51 Y* Wha spaduuon u undu the JedAcn of AM , under this sPCcification tn Grade 40 and Grade Comznatee A i c>n SieeL 5ta.n;eu 5 tee: and Retated ALc' '
*s.
- 60 (Note 1) For bending properties, test pro- and a the e. rut respona.wy of Subccmm Hee A010$ a '&RW" visions of the nearest nominal diameter de. Sie{Re, nrQe n' 6.1 Dc 7].
4 > formed bar size shall apply. Those require- veen isu ong.caay pubLited as A 6t5 - 68 t.au pv . t bar at sub ments prosiding for deformations and marking w edunA615-D formauer j '*; , shall not be applicab!c. similar m - [ Ann.at Ana of ASN Sundad Pans I.2.3.41ad 6 2 Tht 1.4 The weldabthty of the steel ts not part of
- Ann.af so,a of Asm 5,andards Pan 3 a
'. this specificanon
- d a" al 3** */ d 3 N 3'**d3'.is Pa ns 1 3. 4. and $ '
respect te t
- Asadabe from **a.a'. PubLcanora and Forms Cena d' angle is n-
.[' Non I-The weight for p atn rounds srca'!er 5:31 Tabor Ase, Pb:ade.pba. Pt 19:20 l F deforman 4%. p
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y . U Q L N, 4tia h A 615 M.u/ /k /3 IcA"N M I Fed Std No 123 Marlung for Shipments axis of the bar of from 45 to 70 deg inclusive. 'Q (Cml Agenciesf the deformations shall alternately reserse in 7 direction on each side, or those on one side 1 Ordering Information j.s{ shall be resersed in direction from those on the d A 11 Orders for matenal under this specifica- opposite s de Where the hne of deformation is taen shallinclude the fouewing information.
'% *v' oser 70 deg. a reversal in direction a not re-F 3.1.1 Quantity (weight or length)-
3.12 Name cf matenal(defermed and plain quired. 63 The aserage spacing or distance between I bi!!et-steel bars for concrete remforcement). defermatiens on each side of the bar shall act - h*, , 3.1.3 Stre and length, exceed seven tenths of the nominal diameter i f . ..g 314 Defermed or platn- the bar. 2 31.5 Grade. 6 4 The overalllength of deforrnations shaU M -
..on indues the [ 3 I6 IACh3ElDE (500 bCCI50C Ibl- be such that the gap between the ends of the *N E d
mhe year or ks < 313 Supplementa y requirements (if de- defermations on oppostte sides of the bar shall 9-riedL and not exceed 12% % of the nominal perimeter of T~ a'~
,g ;r 318 ASTM designatien and date ofissue. the bar. Where the ends terminate tn a longi-Nm 3- A typica! crdent.g descnpace is as fel tudmal nb, the width of the lengitudinal nb -r
'~d less EW-Leear ft. deforrred and p;ain bCet-steel shaU be considered the gap. Where more than 1W j ba s fer cencrete remfercemem. No 8. 30 ft 0 in rJ on the basis i two IonEitudtnal ribs are involved the total leeg defer-ed. Grade M. it. secured hfts. trcludeg width of all longitudmal nbs shan not exceed d $ge-entan Recpurement S t. to ASTM A 615 . >g '
anion to spec- f I d2Td - ' 25 % of the nominal pertmeter of the bar. s 615 M. there- j furthermore, the summation of gaps shau not .- 1 enied in this 4. Material and Manufacture exceed 25 % of the nominal pertmeter of the bar. The nominal pertmeter of the bar shall be
-h
- j 41 The bars shan be roUed from properly -y 3.14 ttmes the cominal diameter. ..
g identified heats of meld cast or strand cast steel I useg the open-hearth, basic-exygen, or elec- 6 5 The spacing, height, and gap of defor- ,.y tnc furnace process. mations shall conform to the requirements pre- n. < I t 4han. scnbed tn Table 1. & i 5. Gemical Requirements
- 9 ral Require- 5.1 An analysis of each heat of steel shat be 7. Measurements of Deformations {
2 arse Round 7.1 The average spacing of deformations d, 4 clade by the rnanufacturer from test samples taker preferably during the pourtng of the shau be determtced by dividing a measured D'k
*gb f r Packag.
Methods for
.O heats The percentages of carben, manganese, length of the bar specimen by the number of individual defermations and fractional parts of p' ' . phespherus, and sulfur. shall be determined shipment
- dl[
The phosphe us content thus determined shall defanations on any one side of the bar speci- - 4 e upment and 'p not exceed 0 05 % men. A measured length of the bar spectmen
$ 2 The chemical composition thus deter- shall be considered the distance from a point 5' n i enned shall be reponed on request to the pur- on a deformation to a corresponding point on .
.Sf ,
icts hepara* - chaser or his representatise. any other deformation on the same side of the 53 An analysis rnay be made by the pur- bar. Spacing measurements shall not be made
?.k
; ta chaser from Tmished bars The phospherus con- os er a bar area containing bar marking symbols o }}
tent thus determmed shaU cot exceed that spec. involving letters or numbers. I. - ified tn 5.1 by more than 25 % 7.2 The aserage height of deformations shall /
*d Yo[ , m Aoios C 6. Requirements for Deformations be determined from tocasurements made on not less than two typical deformations Deter- [r([
lf 6.1 Deformations shau be spaced along the minations shau be based on three measure-p% % p '{4 .
- 6s tan pre- j bar at substantially uniform distances The de- ments per deformation, one at the center of the P fermaticcs on opposite sides of the bar shall be oseran length and the other two at the quarter , ' 1 * **d 'I sinular in size and shape potnts of the oseralllength. A 2 6 2 The deformations shall be placed with 7.3 Insufficient height, insufficient circum- , Q:;
M*{d/,' ; respect to the axis of the bar so that the included ferential cosetage. or excessise spacing of de- ';, { 1l angle is not less than 45 deg Where the Itne of formations shall not constitute cause for rejec- g-deformattens forms an tncluded angle with the tion unless it has been clearly estabbshrd by 1-
- 589
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- d
_.3 ( a f,q,p g , , , 4r
l I _ .. - - .. p< -.-w, , g y.s
. -^ Mi$.h#
a j h A 615 f M AIh-bf #
/
' - determinations on each tot (Note 4) tested that typ: cal deformaten height. gap. or spactng do 9.2.2 Ucrestricted movement of the speci . 12. Reteu men at potnis of contact mth the apparatus
- not conform to the minimum requirements pre- my senbed m Section 6 No rejectice may be made and bendtng around a pm a,p free to r 4 on the basts of measurements tf fewer than ten bendtng about a central pin on a simple spad y.r adjacent deformations on each side of the be with end supports free to rotate.
,y y c
- N. th=rd of t' cer m .:. red 9.23 Close wrapptng of the spm-rm -** i
- #_ i
.% , u it 3 W m c ::r w -f ze at:c.:4 me pn dc:=.g tie bem^rm cpr ==y - ,,
.Q_ r ra:rr.r ccace t :i a-tr rm =mr c U Ct e e w i 5:221-<:m 2m9e p.p g r. r :3.:a- r;e4 w cr m:r4 :ru= w:. b n 12I= nte e sxn m-h* shatma p N- :;r e- -
3 m.ss i r n--n- mg i IL Temile Requiremena - . ,#A ' p d *M '
'V{; H Bars of m h M and 18 shahM pg er t,m, g$ B.1 The matertal, as represented by the test subject to becd test requirements unless or- . . -
.' spectrnens, shall conform to the requtrements dered in accordance mth supplemental reque 2g ment of this specificanon.
for tensde propernes presenbed in Table 2. g;{-
.. T 8.2 The yield point or yield strecgth shaU be 10. Test Specimens
. do rand- e .
- t. determined by one of the foUowing methods:
10.1 Tension test specimens shaU be tU fut
- : gy resuhs cf M, F.2.1 The yield potnt shau be determined by 'M 9 'i S I2 'b4 g h drop of the beam or halt in the gage of the section of the bar as roUed except Nos.11.14 testu g machtce.
and 18 reinforcing bars in Grade 60Fbest which. : or l ' 512 Where the steel tested does not hasethe a option of the manufacturer. may be tested ". , D by one cf the reduced section type of.tesa t weU-defined sield potnt. the yield strength shall g indicated in 10.1.1. ' specifiej * ,
, T be determine'd b one of the methods tedicated "'C'E '
2- in 812.1 and 83 21 10.1.1. Reduced section specimens shall b'e " fI'S' 'E# l (, 822.1 Extension under load using dmders machtned frorn the bar to a dameter of 1.13 less , y tw with an 8-tn gage leegth The extension under
; 124 1 i t load shau be O N m , and shall be determtced in. (1 lessin'thancross sectioc) 9 in.. with (Ulets at the oser endsaoflecgth the***hana
' of n l
k* by scnbtng on the specimec ac 8-tn. gage turned-down section having a radius of b ia'9 :s
- I *5 ' '
- y. length. pvottng from a pnck pucch mark. The and using an 8 tn. gage length. The reduced M 'I "#}
yield load shan be recorded w hen the total gage section may base a gradual taperfrom the -"g ecas.- ~ I leng:h under load becomes 8 N in. as measured toward the center, with the ends cot more thu ,, . l by the dniders 1 % larger in diameter than the center (con (.. $ may be v, troutng dimension).
',,, 812.2 Extension under load ustng an auto. ,.,. *( **2'5#
graphic diagram method or an extensometer as 10.2 The unit stress determmations on ft.!) * - 13. Perr desenbed m 131.2 to 131.3 of Methods and size spectmens shall be based on the nocma! D1T
- k. Defininons A 370. However, the extension un. bar area. For reduced section spectmens the 4 {
ceed ( , hj- der load shau be 0.005 in /in. of gage length (0.5 9). yield strength and tensile strength s=aun be corrected by the ratio of as-roUed bar weight .y results t s af 8 3 The percentage of elongation shaU be as to nomical bar weight. . . . - , -
'L"3 p.*4 presenbed in Tabic 2. 103 The bend-test spectmens shaU be,the :],
basis q ..
*q fuU section of the bar as roDed m Spe; j' , .[ 9. Bending Requirements evatuste.
- 11. Number of Tests ~.,~ ~,
f!' : no ca'e ' f 9.1 The becd-test specimen shau stand being i1.1 For bar sizes No. 3 to 1I, inclusive,one : *3 **"5' N
.1 bect around outside of the bectaportien pin without crackteg on the tension test and one bend The requirements i test shaU be 7 for degree of bendtng and stres of ptns are the largest size rolled from each heat. If, bow- . IE .,,'
V presenbed m Table 3. ever. matenal from one heat differs by141 3 three T' er c more designation numbers, one tension and i fects and - B .* 9.2 The bend test shaU be made on speci. one bend test shan be made from 14 2 R both t
$f mens and of sufficient with apparatus length which provides: to ensure free bending highest and lowest designatien miU scah t deformed bars toUed.
911 Continuous and untform apphcation vided the
, 11.2 In the case of Nos.14 and 18 bars, one area, a d of force throughout the duration of the bendtng tension test shaU be made of each operanoc. brushed stze ro from each heat.
g . requirem
.e Y 590 t #=
n' _______- __n --
.j a n.
-j% % cY , . $
-~ ~
- q. . s
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g-n 4 - g -- ~w ., I f h A 615 Yh . f the speci-e apparatus
- 12. Retests
- 15. Marking
/)du/ E/5 s ' . 4 l
a r tate, or i 121 If any tensile property of any tensien 'i l test spectmen is less than that specined. and 15.1 When loaded for mill shipment, bars 4 '* P cSPan { , any part of the fracture is outside the middle shall be properly separated and tagged with the third cf the gage length, as indicated by scnbe [J , ber. manufacturer's heat or test identincation num. specun e ~
; pnau
- sciatches marked en the spectmen before test-ing may be ing. a retest sba!! be allowed 15.2 Each producer shall identtfy the sym- ']
1 ds shall not 12 2 If the results of an ongttaltension spec- bots of hts marking system - men are less than speci6 cation but within 2000 153 All bars produced to this specification. '
' hall not be
" "I"5 0
psi of the required tenstle strength. within 1000 except plain round bars which shall be tagged psi of the required vield point. or withm 2 for grade.shall be identified by a disttnguishing h
,,,v.
cal require- percentage uruts ef'the mtntmum required set of marks legibly roUed into the surface of55 e elenga ten. a retest shall be permitted on ene order. one side of the bar to denote tn the following i randem spectmen from the heat or lot. If the g ., .- results of this test specimen meet the specified 1531 Pomt of Onpn-Letter or symbcl es- 'e . be the full requirements, the heat er let shall be accepted tabhshed as the producer's mill designation. ;' l g 3 3, g4 12 3 If a bend test fads, a retest shau be 153.2 Srce Designanon- Arabic number ,,.' i
- w hich, at correspending to bar designation number of [
permitted on ene randem specimen from the Table 1. ., t
. be inted tent er let If this test specimen meets the . . M-j *
,, or ,,3g3 spec 20ed requirements. the heat or tot shall be 15 33 Type of Steel-Letter N indicating "
;,'.3 accepted The retest shaU be performed en the that the bar was produced to this specificatien. , i 5 shaU be 153 4 Afmimum Mr.'d Dengnanon-For test specirnen that is at air temperature but not ,
.. f .
.,pfg,g;g less than 60*F. Grade 60 bars. either the number 60 or a single ;
.th of not ) 12 4 If any test specimen fat!s because of continuous longitudina line through at least 5
.ds of the 4
, of g g3 rnecharacal reasons such as failure of testing spaces offset from the center of the (barx. side.
eqwpment or impreper spectmen preparauon. (No marking designation for Grade 40 bars )
. k e.ed it may be discarded and another specimen 16. PacLathg Q' ,.
i ds tak en.
,g ,
wre than 12.5 If any test spectmen deseleps flaws. it 161 When specified in the purchase order. ner (con- may be discarded and another spectmen of the packaging shall be in accordance with the pro-
,3 ).;..w y
" full same size bar frcrn the same heat subsututed. cedures in Recommended Practices ,
A 700. 16.2 For Gosernment Procurement only- ' j
- 13. Permissible Variation in Weight When specined in the contract or order, and s y5 'p n
for direct procurement ty or direct shipment to
.nens the uits shau
, 13 i The permissible vanation shaU not ex-ceed 6 G under ccmtma! weight.except for bars the U.S govemment, material shaU be pre- g, 0k -
ar weight smater than 5 tn. platn round, the permissible sersed, packaged, and packed in accordance b
, lp k; vananon tn weight shau be computed upon the with the requirements of MIL-STD-163. .The -j f Il be the basis of the permmible sanation in diameter applicable levels shall be as tpecified in the , , ,-f in Specificauen A 510 Ret ferettg bars are contract. Marking for shipment of such mate- '.4 nal shall be in accordance with Fed Std. No.
esaluated on the basis cf neminal weights in 123 for civil agencies and MIL-STD ';G.fg, 129 for to case shall the overweight of any bar be the mihtary agencies, p m e,one made of cause for repctien , 'h ', if, how- 14. Finish 17 Inspection p,4 three or
; *{
141 The bars shad be free ofinjunous de- 17.1 The inspector representing the pur- .
- en and chaser shall base free entry, at all times while cih the fects and shau hase a workmanhke finish P .n.
14 2 Rust. seams. surface irregulanties, er work on the contract of the purchaser is bettg , , I, r of the performed, to su parts of the manufacturer's m211 scale shall not be cause for rejectten, pro- *
?"
vided the weight, dimensions, cress-sectienal werks that concern the manufacture of the . N. - art, one rnatena! ordered The manufacturer shall af- A e rolled area, and tensile properties of a hand wire J +t e brushed test spectmen are not less than the ford the inspecter all reasenable facihties toj'[ requirements of this specificatien sattsfy htm that the matenalis betng furnished , in accordance with this specification AU tests .,[$ - i 1 V,
.h E. '
591
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(- (except product analysisi and inspection shall . be made at the place of manufacture prior to tion based on rests made in accordance
/ { /6 mid 4
shipmem, unless ctherwise spectGed, and5.3. shallshau be reported to the manufacturer
,4 be so conducted as not to interfere unnecessar.
ples by the purchaser.within 5 working days frorn
%[
h ily with the operation of the works 17.2 for 18 2 Material that shows injuncus defects '. Tens :e
- Go$cenenent ProcrementOnh - ?
M. Except as othersne speciGed in the contract, subsequent to its acceptance at the manufac- Lea < - 7.~ . the contractor is respensible for the perform- turer's works wtll be rejected. and the } manu-E*[F,'( 77 acce of at inspecuen and test requirements facturer shall be notified , 3
.)'
i
- 4. ! -
y- . spetiGed heretn and rnay use his own or IU anySubstitution of bars produced te Sup-
- 7
, other suitable facthttes for the perfermance of plementary Requirement 51 (rnarkedoS) for
., the inspecuen and test requirements spectGed tars ordered to the basic Spectficanon (marked,'
E herein. unless daappresed by the purchaser at N) sbau not be cause for rejectien ( v 5 l; the time of purchase The pu'rchaser shall base 19. Rehearing
- li
- the nght to perform any cf the inspections and *
{ . crs
- 5. i tests at the same frequency as set forth in this 19.1 Samples tested in accordrece mid 5.3
*.Q.
speciGearien. uhere such inspections are that represent rejected matenal shat be 3 pre- 5(,[ y
;- deemed necessary to assure that matenal con- served fcr 2 weekt frem the date rejecuen is J forms te presenbed requtrernents. reperted to the manufacturer. In case ef dasat-;
- 18. Rej.ectron isfaction with the results of the tests, the man- 3 h*
,e ufacturer mas make clatm for a rehearu:g 7
181 Unless otherwise spectGed anv re;ec- withtn that time
,4
.( -T4Bti I Deformed Bar Deuccanon %umbert ons e Nommal u iahti. Noirumal ) Dunennst r-and Derormanon Requeenwets U.
- Nm.sa: D.trens: ens
- k ##4 I gu,, _ Defo ma: ice Reqwet cr.ts. ut - [
l 1... an 1 I D" E,nanet k*
- g, g, g q,,,v 3,,,
7 ! i a n D' Mautum y,L,u, y ply): 4* tions: yes. m I']""' wm 5p n g up t, Gap Che o,
$g )
~(, " 3 Hept gg l 0 3*e I'" b *f l ,,7 4 0 3'? O Ii
! C 655 051 t64 C.:e:
- b.'
- 5 1 043 07' I 5'l 0 0!! O 143 around . '
- C e:? 0 350 0 C20 i
, ,[ t 1.52 0 *50 0 31 1 963 0 43' 0 191 of the be !
7 C 44 0 02%
' , 2rm 38'S 2 35e 0 525 0 239 - -
gree d 5 OM
=I t 26'O IGi 0 *9 2 ?da 0 61 0 038 CCm 0 2n6 k' in tam-7-[-
l 10 9 3 eit 1 I:5 I OU 3 14: 0 *y 0 050 0 334' [ $ll < - N 7' 430 12'O 12' 3 544 C'% 0 056 0 353 . i il 39W specce b 5 3t3 l a te 0 859 0 411 } V ,e 14 7 65 l e93 1 56 44K 0 98' 00o4 car ' rolied g' . 18 l3 F 2.25 53: 00'l 0 4c
- s? 4& 1 185 0 0*!
7 09 0 648 '
'*[j
- The norua: d.mensions of a dere me4 bar see eqms:enilo those f 1.58 0 IC: 0 864 as the defermed bar e.F
- Bar currbe*n are based en the number of eghths of an toch included in th ;
erer orthe ba s r,
, [ ,
t ., s t 9 The A r-
*i * , . . . , _ .
,; g# , 7e i
.e; ,
6' l ^2 *
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ww u O bL $9
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l 6 . __ _ _ _ , _ _ _.-.-_y_-- 2,-_ m . N Y : --E ' ' " o S
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Jance with h A 615 *
-f
- nufacturer TABLE 2 Tensiir aniwemenes TABLE 3 Bend Test Requireameses ,.
I ipt of sam- crede e cr e 60 nn p..meier for Bend Tests .^ l
' (D ; {*
' Teme rreegi min. p 70 &c 90 om # " " "'"* l d '* **'" 'I
.us defects vieure Arrnr' *c av 6c ac B D" f " * "*" N *P'*'" -
N f *"o" 'a a m . m'" * *f ma nu fac-se so crude o Grade 60 -N ihe manu- 3 : , 3, s. 3 4g as
*'< ~
ed to Sup-a 5. 6 7 12 n 9 8 e 54 S' 54
'd
-lk i
3
.e 3 a 9. 10. I1 54 84
_ d S) for , ,10 , 2,, n (mark ed in s 7
- Tai wmts iso ceg unim amed memue ./
li 7 7 n \< ns 7 L= .g,Q , , g yf g j
.e with 5.3 l
I
- c..a 6: ers ce r.-n.3ud en.y m ues 3 m eugs it. D $. I / 2g "8 '
y 53 im iv..d' S'c # " * *) ic w censaed * *=evy
* '"dasica4 "w* J'Y ' * *J'"
y ,
,e 3
' ' 'l" " 15 ' ~ SUPPLE 31ENTARY REQUGE%fENTS e of dissai. * %, g , the man- l i+% reheanng l The fcuowing supplementary requirement shall apply only when specified in the ., purchase order or centract -
-Qi ,
t-St. For matenal ordered to this supplemen- 51.3 (replaces 11.2) In the case of Nos.14 , _ ;t. ta y requirement, articles 9 1, 9.3, 10.1. 10.1.1, and 18 bars, one tension test and one bend test
* " ,a3 i ,,,%,,,,,,
11.2, and 15.3.3 are replaced by the feuestng shall be made of each size roUed from each S* (au requirernents S1.1 through S1.5 shall ap- heat.
'.'i p.' '
' m ply) 514 If a bend test fails for reasons other ' f nord d a St I (replaces 9.1 and 9.3) The bend test than mechanical reasons or flaws m the speci- p e2% e or spectmen shall stand bettg bent, when at am- men as desenbed in 12.4 and 12.5, a retest shau r. t. ;.f..
henner
""'""" bient temperature but in no case less than 60'F be permitted on two random specimens from A
, around a ptn without cracktng on the outside the same heat or lot. If the results of both test M 0[ of the bent pertien The requireme::ts for de- spectmens meet the specified requirements, the [.f l.,
o;w 02% gree of bendtng and sizes of pins are presenbed heat or lot shau be accepted. y y, in Table 51 51.5 (replaces 113.3) Bars furnished to this ! A . I yf S12 (replaces 10 / and 10./.1) Tensien test supplement shall be designated for type of steel . 1 oen specimens shau be the fuU section of the bar as by the symbcl S. JV'p[t- , ; o#7 rolled : ' 05 3 < o 64: o kna T ABLE St Bend Test Req *ementi($vpplementero . 2.Is 9"- e Pir D.ameter for Bend Tesu* , 9 g, d = nomina: d.ameter or ' vni Ba Deugnaaen No specirnen gl g, Grade 40 crede 6C 4 h
- 3. 4. 5 3Nd 394 6 '. 8 Sd 5d .A '
- 9. 10. 1I $d 74 * *E*q 14 14 (90 degi 94 .
- Teu bends 160 deg un:cu noted othemse *
.s 4
The Amrewan $ocorrs fc Testing and Afare*sats tears ne posuron respeciseg the wahd ty of ans parrne erghts asserted un . gennert,ce n ok ans urn men:roned un uh.s s:andard Csres of tha trandard are esperssI> adnsed tha: derr=manaroon of the echd.ty af ans such pa en r gh's. and the rask cf onfrungement of such ergh's. are enturely thrur oss erryonsabnty a Th s stanJa'd a sQect to resssten er ans esme be the prepens.bir Irrhnwel remmutter and murr be reverwed evertfier yea *s -[*j *L 1 and olnot ernsed rohe* rearr*esed er methd a.n f ou* commen:s a*r unsured etthe*for resasen of th s standard orfor addstoonal , sanda'ds and shm'd be adarened tc 4STsf Hradqua tres four commen:s mu trerser re'e'ulconsiderainen at a mortong of the . rrsions.t,r re-knaat temmourr a ha> seu mas anend if rowfre! the scar commre s hase not rect'sedafar* hear ngs sou shou ld , h;e wa mes.. ,,r., sne.n to the A % rY (comnier on $:anda*JL 016 Note $t , Pho:cdefh c fc 191H mhwh mH yheduit a y. . furthe hea ,eg rep d>g scur remmenn forhng sa'ir'aeroon the*r sou mas afpra' te the A ST69 Jice d of De retors .'E-g . 593 ,.j ..
. *%m8av) l ,
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- _ - _ ____.ll TITLE STRUCTURRL PACE CF 43b N _;
av cATE ii mECHRnKS couutnis CHKD.SY DATE I I
-WMRSSOCIATES gf.jg/ f, /g :
Graducea' or okgef l[, 20 %D vk ab Q f g Ro un. 4. 6 of gne.e AVm/a~ & SJ m s - 9/ m m ,6,- coM &&d x&ar ( PS50$5) mM a 50011Pa e ? 2 ,5 Asi . 7% 9/dd drus of w n judpd /c- #u 8u w /J "fsci~ - : k/, vc
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For % jw.y>ost assM A66f ,/or s4 n s far gt,-
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TITLE Job No STRUCTURAL PAst D or sY DATs I I mECHRnlCS couusNTs i CHKD.sY DATE I I =W-RSSOCIRTES pfa/ l6, toJ As At .- )
.. Q- A2 0 & E3 -
A = Eo
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l l TITt.E STRUCTURAL PAGE bF Job No av DATE I i mECHRniCS couuENTs CHKD.SY DATE I I
-W RSSOCIRTES do/ /6*'() L 0lxC/) hl4% 0M f0-r &tl1r ny. 4. s cp D/w~a D 5
fy, 20 *C
~ _ _
/, o - as*c 299*
wo e - 99 399*
- Co-soo-06-o+- wo-o,_ f, e.,soes 4,,oz -senso --
a72..$ hi 70 0 *
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- r. . g g g.,, , w s.., .,.w v. so e ,,d soa.
gj y $,(3 ,,j_ 8 8t.re,ss.-s,tr.
- a. i e,... n.cu.rve for cold-worked st.et Ps to O 8 at pg.e # 72. 3 /.
9 I O _ - _ _ . _ _ _ _ _ _ _ - _ , . , - _ , _ , , _ , - _. _- ._ - ~ - - _ . . _
TITLE STRUCTURAL PAos G oF- Job No my oars I I mECHAnlCS COMMENTS-cuo. SY I I RSSOCIRTES 4 d/! Dart W EEEMENEE /6. 2 / To M(d}p ca l cu [a fia v> , a,s m 24a/ t% m u, -
<m a/nas A A 4 ar is p p m /; % a.L fo 4 sfrcu af 4.7/*o .okcu ~ ( ~4 %g jk M A edr<uon skak ). Tbs as.c ~ p /i k <vdcf be xa c/ l #s d rus-s/e n mm m 6 '.far %d
#x Ir n d sfaues tamar.m &a p ,e n /a y
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_ 4 [ ' 7 'o - fr > T) kr f ( 4,7 /o#
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& L f. , T ) = gra, .dek
/w a. L anc/ /kp c -
rn/.wc T a: o4's f /5. 2. 0
.o6/M.cci fcn RT = ec m /upua/m
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- of Pumps, Valves, and Piping i
Prepared by E. C. Rodabaugh, Battelle Columbus Laboratories K. D. Desai, U. S. Nuclear Regulatory Commission Battelle Columbus Laboratories . Oak Ridge National Laboratory Prepared for U.S. Nuclear Regulatory Commission O w
e ft .- p.c w/ L TABLE A1. SOSiARY OF STATISTICAL DATA Ss. S. a Sa o, Ref. Material Strength ksi No. of ksi Ys ksi (a) (b) (c) Sa=ples (c) (c) ( 1) A285-A Y.S. '24.0 21 32.62 1.36 1.463 A285-B 27.0 70 36.14 1.34 1.959 A285-C 30.0 220 37.44 1.25 1.53E A201-A 30.0 26 37.31 1.24 1.435 N A201-B 35.0 34 44.18 1.26 2.176 (*) A106-B 35.0 38.0 102 33 45.68 45.42 1.31 1.19 4.245
- 1. 8 9.'
( 1) A212-B (*) A516-70 38.0 52 48.62 1.28 3.525 (*) A299 9 41.0 98 51.45 1.25 1.20 2.821 (*) A106-B 'U.T.S. 60.0 70.0 102 52 71.92 77.04 1.10 4.175 3.47 A516-70 9 A299 4 75.0 98 81.38 1.09 3.13: (a) These are plate materials, except for A106-B, which is a seamless pipe material. The present designations of A201-A, A212-A and A212-B are A516-55, A516-65 and A516-70, respectively. (b) Y.S. = yield strength, U.T.S. = ultimate tensile strength. (c) S, = specified minimum strength S,= average strength
~
e = standard deviation For A516-70 and A299, maximum L'.T.S. of 90 ksi and 95 ksi, respect are specified.
- Data from Farr.
A-3
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l'o~ - (d/5 Table 1. Nominst dimensione end esteristo properties of 6-in. elbows used in ilmit-load teste" ( _ Specimene b Modulue 0.22 offeet I'I""*I Description y p p II ' ' Tenette e of eteettetty yield stress 1 t Og /t (pet a 10-6) (pag) t e strength (in.) (in.) (p,g) (in.) (Pel) FE-1 to -6 Sched-40 LR 6.625 6.065 0.280 21.64 ASTM A-106 S4401 30.1 grade B 50.000 73.600 PE-7 to -9 Sched-80 la 6.625 5.761 0.432 13.34 ASTM A-106 S3147 30.2 37.800 65.000 I arede B FE-10 to -14 Sched-40 SR 6.625 6.065 0.280 21.64 ASTM A-106 S4521 31.3 grade 8 39.600 74.100 PE-15. -16 Sched-40 LR 6.625 6.065 0.280 21.64 ASTM A-312 type 304L SS SFPM 28.8 37,700 13.500 87.800 k PE-17 Sched-40 SR 6.625 6.065 0.280 21.66 AS1H A-312 14247 29.8 type 304L SS 35.600 16.000' 96.600 SScw PE-18 Sched-90 LR 6.625 5.761 0.432 13.34 ASTM A-312 15526 29.7 type 304L SS 35.400 18.000 88.100 SSAY PE-19 Sched-40 SR 6.625 6.065 0.200 21.66 ASTM A-106 Nest No. 33.0 grade B 46.000 68.000 M51352 PE-20 Sched-80 SR* 6.625 5.761
- 0.432 13.34 ASTM A-106 28.4 34.600 70.400 ar.d. : p 1 in. = 2.54 = 10-7 ,; g ,,g . 6.895 = toi re. D SR = short redine; La = fong redive.
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Plastic limit load tests on 6-in, elbows # 1 f Loading conditions Elbow j Moment Wall Bend Pressure, a Number thickness radius In planed Out of plane P 'A (schedule) (in.) g ' E E Y *- PE-1 40 9 I
'4 PE-2 40 9 h X
PE-3 PE-4 40 40 9 X j 9 I PE-5 40 9 X X PE-6 40 9 X PE-7 X X 80 9 X . , PE-8 80 9 g X PE-9 80 PE-10 9 X j 40 6 PE-11 PE-12 40 40 6 6 I X X f g PE-13 40 6 , X PE-14 40, 6 X E.
# X PE-15
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# X PE-18 80 9 X k
PE-19 40 6 .7 X PE-20 80 6 # X a 2? , 1 in. = 25.4 mm. 3 b 3.g 7E stands for plastic collapse, elbow.
# 4 See Fig. 3 for sign convention.
d A positive in-plane moment (+H tive in-plane moment (-H,) causeseth,) elbow to close.causes the elbow to open; a ne L # Type 304L stainless steel elbow. 'l3-i d. obtain the vertical and horizontal displacements at the veld at the loaded end of the elbow. With the additional information provided, the
.[
y-rotation 6 of the pipe extension in the plane of loading could be used in determining the collapse load. { ( Forces were applied by hydraulic ram, 'j' and the magnitudes were measured using a strain-gage-based load cell. Figure 4 is a photograph of specimen PE-16 under test. I'
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h .b 1 otrLECTioN (m.) 3 n Fig. 10. Load-deflection curves for in-plane bending (+M*) of specimen PE-1 (1 in. = 25.4 m; 1 lbf = 4.448 N). . - - . - Om%.0*G 70-04346
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4000 J' "f" i e DAL INDICATOR No. t t 3000
- DAL INDICATOR No. 2 2000
/'/-
O O.1 02 0.? 0.4 ,0. S 0.6 0.7 0.8 0.9 t.0 1.1 1.2 t.3 t.4 , DCFLECTioN (m ) Fig. 14. Load-deflection curves for in-plane bending "(-H ) of C"*"*"'"-""-'""-'"'")- 0%-DwG 70 84320 9000 l .. y.
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9/0 Gor/ 6 A d to
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3000 g , l 2000 , , 4000 [ l 0-i 0 01 02 03 04 05 06 0.7 0.8 0.9 to 1.1 1.2 t.3 t.4 # DCFLECTION in) l Fig. 15. Load-deflection curves for in-plane bending with internal l pressure (ME + F) of specimen PE-13 (1 in. - 25.4 mm; 1 lbf= 4.448 N).
- ~ - - ,
e :b n-
'(.y*~
l i
(Lf 'h..,- 28 positioned as phown in Fig. 2. Load-vs-angle curves are shown in Fig. 28, where fa and Or were obtained from indicators DI 1 and DI 2, respectively, f Circu=ferential strain at the midplane (45' plane) is plotted as a function of surular position in Figs. 29 and 30 for PE-18 and -19, re-spectively. Thi* circumferential strain is the maximum principal strain, and the angular locations are as shown in Figs. 7 and 8. The curves shown are for constant loads as indicated on the' curves for the inside surfaces. The load ranged from 15.57 to 44.26 kN (3500 to 9950 lb) for PE-18, and the range was irom 6.67 to 22.24 kN (1500 to 5000 lb) for PE-19. These picts shw that the maximum strain occurs on the inside surfaces near the 90' location. oRNL-DWG 77 20095 R-5/2.
, ,p tyi so n s C ' '
<xo x, f %d4'o, M p O e,
/
d *2 1 p g som </ c I
= .
64.99 c ,: 20 30 40 so so
, m.,,, 7o <x toh T4 26. 1,oad-angle of rotation curves for in-plane bending (-H )
cf spe.iw: T!-15 (1 lb f = 4.448 E).
- g.
TITLE g STRUCTURAL PAGE CF J:b Nr-3Y b DATE I fDECHROICS couuants CHKO.gY DATE- 1 I RSSOCIRTES WM a c ene. c.... E.) add k saaG L x-2s [ K == 2. " . SRslG Gr GO
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7878 E PAst av l, DATE I 1%2 g STRUCTURAL OF Job No mECHA0lCS couwenTo CHKD.SY DATE- I I """"" Wm ASSOC..IRTES a c. c... t o-dy , ou prps Aalf a/ fa:L , & ~ a is>0.E.
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I" PAef 0F-sv g,j- DATE b I g STRUCTURAL Job No-mECHA0lCS coWWENTS-cHKO.sY DATE l i m 8e , ' .,,ES s G . 'l Pvt. X-2C or,f. Okdr F60025/
&la, , x w/ caja c<hks u m . w s / (a ~ dab, C /3 M- 42.3 &p -/f 9.dg ~ny /1 - 18. 7 4x-p D/'t = 2 I. 9 /9l. 53 / - G.48 ea copss,e an) l4. I) 9 9 = l. G. OnG.84 5 = l.55 (hnM, ed)
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TITLE STRUCTURAL PACE CF- Job No sY DATs 4 1 - mECHRnlCS couvents emo. oy oATa I i AI.S0,CI,ATES 5 Pipt to End Plate Welds ou far k /wuik bh, a a tmf.4 / gps
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" PAet oF Job No sy g oATE II I g STRUCTURAL mECHR0lCS couvents cmxo. y oaie iI U.S,g,{1,RT6 G. DebevwiaaLion oP Rpe Fevces a/ Peden c/6r i g & kkW % esses 945 per X- 2% , F- 10379g Pcr x- 2G : F 800 26)
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TITLE sY ' DATE l EC A CS cano.eY DATE- I I O AS,SOCl,AT,ES
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9t/' 59 G. /: 40.5 + zzg 229-40.5^ E' ~ us. n + , g, i g
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p STRUCTURAL PAme or Job No sv DaveI b I g mECHAnlCS eDuvente CHKD.BY DATE- I I """""" WM RSSOCI ATES a cam. c.... d d- M 40.5 hp- fk 3 7 P- 36.3 dy e L 9
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TITLE STRUCTURAL PAes oF 'ob No-sv DATs k i N _ mECHArilCS couuanTa CHKD.sY DATE- I I """"" W- RSSOCIATES a c.in. c.... t Colcafo/e forcu n 6G x A u de 989 PEN X-2.$ : cas~ tat myzwf WM'% E/ M al 2,03' nfd,ipt.
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787 ' ' j STRUCTURAL PAGE OF t'ob No sv DArsk iS mECHROICS couuturs-CHKD.SY DATE- I I m ae. c .. . OCuf6l6 NWb h Np:
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3Y j DATE 11 I g g STRUCTURAL mECHR0lCS PAfE couwents CF Job No CHKD.BY DATE l I wm RSSO..C..IATES a c. c...
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sv g-cAirbl I _gg STRUCTURAL mECHAnlCS PAGE / couunnis-OF Job No CNMD.SY cATE I I AS.S,0Cl,ATES 5 failure. of Sleeve k Edt7 tale Ve/cl (o< PeneVvcdiai X ~+ \ . ror s4 % pvha&N 1-Apdde /c pyre +x/W a m / en lica l. b r m u< f/j,& ju a tr' a den ~ 2 % . 9 owt aa caso,Ap so . - 9 lini/in9. anutibor (ce the end pla/e to pipe wild is obtaired Q au~~g cff . pyre Kac6-u p i.e A L g a /nin n u od'e f 4 Wpr<tden o~ 2L of4cr ( .'. naa/ lo upu /o/a/ dd wea lo blaf pye
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/-7, M R. I)p, fg Q =
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= "J e /ca'd a 12//5/9%
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7878 E my k oAveIb ifd
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B.1 Per & 23 [ 120420 -
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2,-ff l x . 04' 3 = 0. 0 2 9
=> w g p, 0 - og (E)~ R pcm/m os & r yw -
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y= 62.9 [ 02.8 = 5l. 9 Au
T'TL" av b gj oATE 11 IS1 STRUCTURAL PAGE oF- Job No mECHRnlCS couwsmis CHKD.sY DATE- I I WmAS. SOC,.IcuATES c.... ff2c/9 /6< /fn/x du a-, M.'e : M cc Bu du 9, . behr A ,c,;,.6 & s & c ,. c7n Gu nuac ua' po z% s.teve o'o ~f p o via% ~ n al. sofananat +4-m f Aag94h an/ af kga mia%- 6 c~ d g a le . Ghfd' %w o%c 6 f44
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l av gp o4TE 11 I g STRUCTURAL PAGE- 0 F- Job No mECHRillCS couufurs-can. sY DATE- I I m .SOCl,ATES RS c ,,, I S.4 De/w4k of pc6. of fa<& v (u k-MSC wM a%u V W- = rdd.dsp L , At F= x [ alaoC v L f(lU = lm. ( + L lf+ k.S - An W .
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*' g p sv cATE Di STRUCTURAL PAGE g mECHRnlCS couuEmis
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OF Job No cao. sy oATE l I m Ab,b,0Cl,AT,ES
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8Y gg DATE I I g STRUCTURAL mECHRnlCS PAGE OF Job No eouwingt_ cao. sY DATE- I l g Sb,SOCl,RTES 10 Plate failure Flexural Viela' of. Ilx e&pla/c probe lxy' aceer '/ leact d> Pailuu 2 ea2y eve r l rebeve sIvesces or /Le (npe 6 era'plare' uictd To9ef or idea. Of wGa/ /S goi~f 04, CQ l'culd /c. 64 pla/e aylaci?y' b k. K2$ 1 6 Ah4 7 7 b,Mcf /upe . 575 " a'<n. 9e dua - # #win H (Ducr 265~572)
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T'TL' STRUCTURAL PAGE 7 OF Job No sY k o ATs b i S 2. mECHAnKS couuture cano.sY DATE I I M
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