ML20148F444

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Design Adequacy Program DAP-E-P-070, Review of Calculation GENX-023
ML20148F444
Person / Time
Site: Comanche Peak  Luminant icon.png
Issue date: 05/08/1987
From:
TEXAS UTILITIES ELECTRIC CO. (TU ELECTRIC)
To:
Shared Package
ML17303B208 List:
References
RTR-NUREG-0797, RTR-NUREG-797 DAP-E-P-070, DAP-E-P-70, NUDOCS 8803280164
Download: ML20148F444 (199)


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COMANCHE PEAK DESIGN ADEQUACY PROGRAM ENGINEERING EVALUATION COVER SHEET TITLE Review of Cale GENX-023 EVALUATION ID.NO.DAP-E-P- 070 NO. OF SHTS.

2/R DAP DISCIPLINE: Pioina and Suocorts DAP ACTION PLAN NO.

SUPPORTING ENGINEERING EVALUATIONS:

CONT. ID.NO.

DAP-E-TITLE:

DAP-E-TITLE:

DAP-E-TITLE:

DAP-E-TITLE:

SUPERSEDES ENGINEERING EVALUATION NO. DAP-E-PURPOSE: To verify that SWEC generic calculation 15454-NZ(c)-GENX-023, Revision 2 complies with appropriate acceptance criteria.

SCOPE:

Those portions of this generic calculation which address external source concerns identified in ESIS-P 021.

CONTENTS (SEE SECTION 4.0, DAP 8) 1.0 ABSTRACT 2.0 REVIEW PROCESS BASES FOR SAMPLE SELECTION (Not Applicable) 3.0 REFERENCE DOCUMENTATION 4.0 ACCEPTANCE CRITERIA 5.0 EVALUATION

6.0 CONCLUSION

S 7.0 ATTACHMENTS (Att.1/8 pgs, Att 2/12 pgs, Att 3/11 pgs, Att 4/67 pgs, Att 5/73 pgs)

REVIEWED APPROVED REV. NO.

REVISION ORIGINATOR DATE s EW DATE BY DATE o

k.tO nJn D. sh/En&WA shl% F/,W~ Sh/r7

,,-~-

8803280164 880331 Page I of 2f'8

{DR ADOCK 05000445 PDR J

l.0 ABSTRACT SWEC generic calculation 15454-NZ(C)-GENX-023 provides the development of CPPP-7 procedure for evaluating local stresses in pipe support members.

Local stress topics which have been identified as concerns of external sources (see ESIS-P-021) are addressed by this generic calculation and include:

(1)

Tube steel to tube steel connections (2)

Rear bracket to tube steel connections (3)

Rear bracket to tube steel end piste connections (4)

Web crippling of I-shape members (5)

Flange bending of I-shape members (6)

Bolt and U bolt nuts bearing against washer plate / tube steel cord (7)

Main member edge distance at structural connections.

2.0 REVIEW PROCESS The SWEC generic calculation GENX 023, Revision 2 (Ref. 3.1) was reviewed in considerable detail with respect to the external source concerns, compliance with codes and standards, application of engineering mechanics, and numerical accuracy.

Each of the topics reviewed in this calculation is discussed in depth below.

The extent and method of review, applicable codes and standards, acceptance criteria, evaluation of calculation /

methodological development, and conclusions are discussed as appropriate for each topic.

General acceptance criteria are identified in Section 4.0 below.

3.0 REFERENCE DOCUMENTATION 3.1 SWEC Generic Calculation, 15454 NZ(c) GENX-023, Revision 2.

"Development of the Method for Evaluating Local Stress in Pipe Support Members" Page 2 of 28

t 3.2 SWEC Generic Calculation, 15454-NZ(c)-GENX-023, Revision 3,

"Development of the Methods for Evaluating Local Stress in Pipe Support Members" 3.3 SWEC Procedure CPPP-7, Revision 2 3.4 SWEC Procedure CPPP-7, Revision 3 3.5 SWEC Generic Calculation, 15454 NZ(c)-GENX-073, Revision 0,

"Evaluation of NPSI Rear Brackets' Dimensions for Design Calculations".

3.6 American Welding Society, "Structural Welding Code " AWS DI.1-80.

3.7 American Welding Society, "Structural Welding Code," AWS D1.1-85.

3.8 American Society of Mechanical Engineers, "Boiler and Pressure Vessel Code, Section Ill".

3.9 "Formulas for Stress and Strain, 4th Edition," by Roark.

3.10 RLCA Report "Local Stress in Pipe Supports, Verification of Allowable Capacity of Tube Wall," RLCA/P142/01-87/012, Revision 0.

3.11 "Hollow Section Joints," Delft University Press, Netherlands,1982 by J. Wardenier.

3.12 "LOTUS 1-2-3" by LOTUS Corporation is a general electronic spread-sheet which runs on IBM Personal Computers 4.0 ACCEPTANCE CRITERIA The general acceptance criteria for the topics addressed in SWEC calcula-tion GENX-023 are covered in the AWS Structural Welding Code, AWS DI.1:

Page 3 of 18

l the ASME Code,Section III, Subsection NF and Appendix XVII; and the AISI "Specification for the Design of Cold-Formed Steel Structural Members".

Detailed acceptance criterta for each topic are defined in the evaluation below.

5.0 JVALUATION The following evaluation is divided into sub-sections covering each topic of the SWEC generic calculation GENX-023.

Each subsection.'ddresses:

(1) Description of the topic (2)

Background

(3) Acceptance Criteria (4)

Review Process (Occasionally addressed within the evaluation)

(5)

Evaluation 5.1 Tube Steel to Tube Steel Connections 5.1.1 Description These connections consist of two ('or more) structural tube members welded together.

Generally, the centroidal axes intersect and the principal axes are parallel.

The connected tube members may be equal or unequal in size.

The connection may be classified as "matched" or "stepped."

The welding may consist of combinations of fillet welds, grove welds, and flare-bevel welds.

Tube member chords and radii may or may not be welded depending upon problems of fitup, clearance, and installation sequence.

Page 4 of 22 T ------

5.1.2 Background Tube to tube connections were identified by CASE as a concern.

CASE alleged that these connections had not been evaluated.

As the ASME Code,Section III does not specifically address such connections, CASE recommended that these connections be evaluated by the rules of the AWS Structural Welding Code, AWS 01.1-80 or later editions.

5.1.3 Acceptance Criteria The AWS Structural Welding Code, AWS DI.1-80 (Ref. 3.6) and later editions provide rules and requirements for design and evaluation of tube to tube connections.

Chapter 10 of this code addresses design of tubular structures.

5.1.4 Review Process 5.1.4.1 Fully Welded, Stepped Connections (B s 0.8)

Pages 9 through 25 of GENX-023, Revision 2, provide a

development of tables and an implementation procedure for stepped tubular connections where:

(1)

B s 0.8 l

(2)

The branch member is fully welded to the main member i

l This work was reviewed in depth to confirm that AWS Dl.1 rules of section 10.5.1 were properly applied.

Tables 4-13.lA through 4-13.lJ (pp. 16-25) of GENX-Page 5 of 28 l

023 provide utilization ratios, U, of normal stress 1

to allowable stress to evaluate adequacy of the tubular connection when B s 0.8.

These tables and punching shear calculations are thoroughly checked.

Computer spreadsheets were developed using LOTUS 1-2-3 to verify that the U1 utilization factors of tables 4-13.lA through 4-13.lJ guarantee that the ratios of Actino V to Allowable Vp are not greater p

than 1.0.

5.1.4.2 Welded, Matched and Stepped Connections Pages 35 through 39b and pages 51 through 74 of GENX-023, Revision 2 provide a development of tables and implementation procedures for matched and stepped tubular connections where the branch member is welded on:

(1) Two sides across the main member (2) Two sides parallel to the main member (3) Three sides consisting of two sides' parallel to the main member and one side across the main nomber (4)

Four sides This work was reviewed to confirm that AWS D1.1 rules of Section 10.5 were properly applied.

The developmental work on pages 35 through 39b was thoroughly reviewed to confirm correctness of assump-

tions, p' oper application of engineering mechanics Page 6 of 28

principles, correctness of algebra and arithmetic, appropriate interpretation and application of AWS rules.

The procedures for matched and stepped connections are described on pages 51 through 53b.

They were reviewed for compliance with the rules of AWS D1.1-80 and -85 (Refs 3.6 and 3.7).

The tables used with the procedures for matched and stepped connections are given on pages 54 through 74.

The numerical accuracy of these tables, which are based on the developmental work on pages 35 through 396, was thoroughly -checked.

Computer spreadsheets were developed using LOTUS 1-2-3 to compare all values in Tables 4-13.5A through 4-13.5J and 4-13.7A through 4-13.7J.

Table 4-13.6 was checked by hand.

5.1.5 Evaluation 5.1.5.1 Fully Welded, Stepped Connections (B 5 0.8)

Pages 9 through 13 of GENX-023 summarize the AWS code rules, equations, stress allowables and parameters for evaluating fully welded: stepped tubular connec-tions.

This work was reviewed and complies with the AWS D1.1-80 rules of Section 10.5.1.

Pages 14 and 15 describe how the procedure tables on pages 16 through 25 were developed.

The method used to develop these tables involves defining a utiliza-tion factor, U1 for each set of joint geometric (p,

n, T, T ).

parameters When the calculated utilization factor exceeds 0.44, the SWEC method Page 7 of 28

_,.,-w a

w

corrects the stress interaction term, Qr (initially set to 1.0) in accordance with the expression Qf -

1.22-0.5U1 and recomputes the value of U.

This 1

iteration process continues until the calculated U 1

corresponds to assumed U.

The SWEC method for 1

developing the procedure tables is correctly based on the AWS D1.1-80 code rules of section 10.5.1.

Pages 16 through 25 provide tables for evaluating adequacy of fully welded, stepped tubular connec-tions.

LOTUS 1-2-3 (Ref. 3.12) spreadsheets were developed to independently check the numerical accuracy of Tables 4-13.1A through 4-13.lJ.

These spreadsheet analyses are provided as Attachment I to this evaluation report.

The spreadsheets compare the tabulated values of U1 in Tables 4-13.lA through 4-13.lJ to that computed by LOTUS 1-2-3 which was programmed to follow the SWEC methodology for computing U1 and the LOTUS computed U1 is 1.02, but this is considered acceptable due to other conserva-tisms built into the calculation.

Overall, Tables 4-13.lA through 4-13.lJ are acceptable; they are properly based on AWS DI.1 and are numerically accur-ate.

I 5.1.5.2 Matched and Stepped Connections with Limited Welding l

5.1.5.2.1 Weld Equivalent Methodology l

l Tube connections with limited welding are described above in Section 5.1.4.2 and may l

consist of welds on two, three, and four l

sides of the branch tube member.

l Pages 35 through 39b of GENX-023 provide l

Page 8 of 28

\\

s the methodological development of the procedures and tables used to evaluate these types of connections.

SWEC develops a weld equivalent methodology based on the rules of paragraphs 10.5.1.1 and 10.5.1.3 of AWS DI.1-80.

The SWEC methodology involves limiting the branch member direct stress on the welds to a value which will produce a joint load equal to the joint capacity determined by AWS rules.

Although the AWS rules of Section In.5 do not directly address connections with limited welding, the AWS DI.1-80 rules of paragraphs 10.5.1.1 and 10.5.1.3 can be used to develop a method for evaluating them.

Since the AWS rules provide expres-sions for evaluating punching shear in two parts as punching shear parallel to the main tube axis and punching shear across the main tube axis, it is reasonable to perform the two punching shear evaluations using geometric parameters based on the i

smaller weld. lengths instead of the actual branch tube section dimensions.

SWEC uses this approach for tube connections with limited welding as it overestimates punching shear stress in and underestimates 4

joint capacity of the main tube member.

Pages 54 through 74 of GENX-023 provide tables for evaluating tubular connections with limited welding.

Tables 4-13.5A through 4-13.5J apply when welding is on 2 opposite sides, 3 and 4 sides and are Page 9 of 28 l

l

derived from the rules of paragraph 10.5.1 of AWS Pl.1-80 which define Allowable V - 0A Of x (basic Vp).

Table 4-13.6 applies when /3

> 0.8 and welding is parallel to the main member axis and is derived from the rules of paragraphs 10.5.1 and 10.5.1.3(1) of AWS D1.1-80 which limit Allowable Vo to 0.4 Fy.

Tables 4.13.7A through 4-13.7J apply when @

> 0.8 and welding is across the main member axis; these tables are derived from the rules of paragraph 10.5.1.l(2) and 10.5.1.3(1).

All of these tables were independently checked.

LOTUS 1-2-3 spreadsheet analyses provided in Attachments 2 and 3 were used to check Tables 4-13.5A through 4-13-5J and 4-13.7A through 4-13.7J.

Comparison of the tables with the spreadsheet results shows that the tables are essentially accurate.

There are several errors listed below which are to be corrected in a future revision of GENX-023.

(1) Table 4-13.5A:

The Fw entry for te=

0.50 and $ - 0.75 should be 2500 and not 2994.

l (2) Table 4-13.5J on page 63:

The table I

should be called 4-13.51 and not 4-13.5J. [shouldbeequalto6andnot i

5.

Basic Vp shculd be 10,000 psi and not 12,000 psi.

l Page 10 of 28 l

l l

(3) Table 4-13.51 on page 62:

The table should be called 4-13.5J.

should be equal to 5 and not 6.

Basic Vp should be 12,000 psi and not 10,000 psi.

(4) Table 4-13.7A:

The value of W for tc

= 0.1875 and n - 0.80 should be 0.107 and not 1.07.

Table 4-13.6 was checked by hand and is numerically correct.

The SWEC approach of limiting the member direct stress on the welds to a value which will produce a joint load equal to the joint capacity computed by this alternative approach is therefore conservative.

5.1.5.2.2 B > 0.8 and/or 8 > n l

Pages 39a and 39b of GENX-023 address the requirements of paragraph 10.5.1.3(2) of AWS DI.1-80.

These requirements stipulate that when B>0.8 and/or B>n, the heel /too capacity (F ) of the connection computed by 2

the rules of paragraph 10.5.1 cannot exceed l

the heel / toe capacity computed by the rules i

of 10.5.1.l(2).

I I

The two capacity equations of 10.5.1 and 10.5.1.l(2) differ only in the expressions l

used to determine the value of the georetty modifier.

In the 10.5.1 equation, the Page 11 of 28

F geor.etry modifier is called QB and depends only on the value of B.

In the 10.5.1.l(2) equation, the geometry modifier is called Qq and depends only on n.

On page 39a of GENX 023, the values of QB and Qq are correctly tabulated for 0 s B 10.99 and 0 s n 11.0.

SWEC notes on page 39b, that the value of Qq is less than or equal to QB whenever 5 o'r n 2 0.8789.

This is not completely accurate since when B 0.878 and n=0.95, Qq=2.438 and 0 2.249.

But this inaccuracy has no 8

bearing on the SWEC procedure.

As imple-mented in the SWEC procedure description, on page 39b, whenever 0.81 B < 0.9, the heel / toe capacity is defined in accordance with AWS D1.1 as the smaller of the two values computed using the 10.5.1 (based on B) and 10.5.1.l(2) (based on n) equations.

5.1.5.2.3 0.725 s B < 0.8 One point not discuss'.d and accounted for in GENX-023 is that when 0.725 i B < 0.0 and n s 0.2, the heel / toe capacity (F ) 15 2

limited by the 10.5.1.l(2) equation of AWS D1.1-80.

This SWEC oversight is not considered -significant because the un-conservative error is about 6Y. when the SWEC procedure is used.

Although the theoretical error is about 257., the SWEC procedure reduced the error because i

capacity values must be taken from tables Page 12 of 28 y-

9-for discrete values of B.

For example, when 0.75 i B < 0.8, the capacity value used must be that given for B = 0.75.

5.2 Rear Bracket to Tube Steel Connections 5,2.1 Description These connections consist of a rear end bracket (usually part of a sway strut or snubber subassembly) welded to the flat cord face of a structural tube.

If the bracket fits entirely within the flat cord face of the tabe, it may be welded all-around or welded along two ' opposite sides of the bracket either across the cord face or parallel to the edges of the tube.

If the bracket extends beyond the flat cord face of the tube, it is usually welded across the cord face.

The loading on the rear bracket (usually through a strut or snubber) may occur at any angle and will be offset from the face of the tube wall.

5.2.2 Background 4

Rear brackets welded to structural tube members were identi-fied by CASE as a pipe support, local stress concern.

CASE alleged that these connections had not been evaluated.

5.2.3 Acceptance Criteria Evaluation of local stress is based on a rational application i

of the Chapter 10 design rules and requirements of f

AWS Dl.1-80.

l Page 13 of 28 l

5.2.4 Evaluation The procedure ar. associated tables for evaluating local tube stress at welded rear brackets are provided on pages 42 through 50 of GENX-023, Revision 2.

The theoretical develop-ment and code bases for the procedure are provided on pages 40 and 41.

Fundamentally, the SWEC procedure involves limiting the applied bracket load to that fraction of the bracket load rating (Kg) which will produce punching shear stress equal to the AWS D1.1 80 punching stress limits.

To evaluate punching shear stress, the rear bracket connection is assumed to behave like a tube to tube connection,.1d the rules of Section 10.5 of AWS DI.1-80 are used.

Because the bracket may be welded only on two opposite sides either across' the tube face or parallel to the edges of the tube, SWEC uses the Weld Equivalent methodology discussed above in section 5.1.5.2.1 of this evaluation.

Use of the Weld Equivalent methodology is justified because the connection behavior of the tube at the rear bracket will, in fact, be similar to that at a branch tube joint.

Justi-fication for the Weld Equivalent methodology is provided above in Section 5.1.5.2.1 for matched and stepped connections with limited welding.

On pages 44 through 50, are Tables 4-13.4A through 4-13.4G which list (by bracket type, loading orientation, and weld pattern) the permissable fraction of bracket load rating for various sizes of tube steel for which a tube connection just satisfies the punching shear stress rules of Section 10.5 of AWS DI.1-80.

Lotus 1-2-3 spreadsheets were developed to inde-pendently check the numerical accuracy of these tables.

These Page 14 of 28 I

screadsheet analyses are provided as Attachments 4 and 5 to this engineering evaluation.

The set of spreadsheets in Attachment 4 are for the load Type A condition where the load is normal to the tube steel face and does not produce an overturning moment on the rear bracket.

With the exception of two small errors, the Ki values for Load Type A conditions of Tables 4-13.A through 4-13.G on pages 44 through 50 are numerically correct.

These two errors are in columns 1 and 2 of row 1 of Table 4-13.4D.

The correct values are 0.72 for the two K; values.

The set of Lotus 1-2-3 spreadsheets in Attachment 5 are for the load Type B condition where the load is not normal to the tube steel face.

Since the end bracket and tube member will be subjected to an overturning moment which deper. 's on the direction of loading, values of Kg for each comV.iation of bracket size and tube member using several load.ngles and two orthogonal bracket orientations are calculated to determine the appropriate (smallest) KI values for Tables 4-13.4A thru 4-13.4G.

Comparison of Tables 4-13.4A thru 4-13.4G with the spreadsheet results of Attachment 5 shows that the Tables are generally correct.

There are, however, some errors in the SWEC Tables for Load Type B condition.

There errors are summarized below:

(A)

Table 4-13.4A l

The K1 value in column 5 of row 1 (TS 2x2xl/4) should be 0.80 and not 1.0.

l l

Page 15 of 28

I (8) Table-4-13.48 The K]. values in columns 4 and 5 of row 1 (TS 2x2xl/4) should be 0.12 and 0.50, respectively, and not 0.26 and

.0.65.

(C) Table 4-13.4C The K] value in column 4 of row 6 (TS 4x4xl/2) should be 0.46 and not 0.57.

(D)

Table 4-13.4D The K] value in column 5 of row 1 (TS 3x3xl/4) should be 0.31 and not 0.40.

(E)

Table 4-13.4E The Ki values in column 5 of rows 1 (TS 6x6x3/16) thru 5 (TS 6x6xl/2) and row 7 (TS 8x8x3/8) should be 0.30, 0.41, 0.51, 0.61, 0.81, and 0.66, in row order and not 0.34, 0.45, 056, 0.68, 0.92 and 0.70.

(F)

Table 4-13.4F The Kg values in column 5, rows 1 through 3 and 5 through 6 should be 0.33, 0.49, 0.66, 0.63, and 0.92 in row order and not 0.39, 0.60, 0.82, 0.70, and 1.0.

Column 6, row I should be 0.53 and not 0.57.

These errors will be corrected in GENX 023, Revision 3 and Page 16 of 28

CPPP-7, Revision 3.

Overall, the Tables are acceptable.

On page 43 of GENX 023, Revision 2, the weld symbol defini-tions for ll and are incorrect.

The correct definitions, incorporated in Revision 3, should not include WI and W2 weld identification for welds parallel to or across bracket ears.

The procedure on pages 42 and 43 of GENX-023 Revision 2 does not correct the KI values in tables 4-13.4A through 413.4G where the joint utilization ratio U exceeds 0.44.

Since these tables are based on the rules of section 10.5 of AWS DI.1-80 using a stress interaction term Qr value of 1 (corresponding to U s 0.44), the KI values in these tables must be corrected for the reduced values of Qr when U > 0.44.

This has been identified to SWEC and will be corrected in a later revision to GENX-023, 5.3 Rear Bracket to Tube Steel End Plate Connections 5.3.1 Description Snubber and sway strut rear end brackets may be connected at the ends of tube steel.

To facilitate construction, an end plate is welded to the tube end, and the rear bracket is welded to the end plate.

Generally, the end plate size is slightly larger than the tube section.

Also, the rear end bracket size is smaller than the tube section.

5.3.2 Background CASE has identified local stress at welded attachments as a technical concern. Although rear end brackets of snubbers and sway struts welded to end plates of tube members were not Page 17 of 28


..-,..--,m.---,--w--,-e

-y-w--.

,~,-,w,

specifically identified by CASE as problems, local stress in the end plates can be quite high.

TUGC0 e.gineering did not explicitly evaluate this local stress.

Consequently, SWEC procedures require that local stress in these end plates be assessed.

5.3.3 Acceptance Criteria local stress evaluation is based on analysis using accepted engineering mechanics principles, modeling approximations and equations.

Local stress allowables are based on the code rules of ASME,Section III.

5.3.4 Evaluation On pages 75 and 76 of GENX-023, Revision 2, SWEC develops a procedure and table for evaluating local stress at tube end plates with rear bracket attachments loaded along the longitudinal axis of the tube.

The procedure and tables development is based on the reasonable assumption that the rear bracket uniformly loads the rectangular tube end plate.

SWEC uses Case No. 38 of Table X (page 226) of "Formulas for Stress and Strain, 4th Edition", by Roark (Ref. 3.9).

Case No. 38 provides an equation for maximum stress (i.e., bending stress) and parameters for evaluating a rectangular plate (the end plate) with all edges supported and uniformly loaded over a central rectangular area (the rear end bracket).

Since the maximum stress is bending, SWEC appropriately uses an allow-able of 0.75 Sy which complies with the ASME, Section 111 rules of paragraph XVII-2214.3 for minor axis bending of solid rectangular sections.

The table on page 76 of GENX-023, Revision 2 was completely Page 18 of 28 I

checked.

Two minor errors in columns 1 and 2 of the last row of the table were found and identified to SWEC.

SWEC has agreed to correct the table.

The correct values in columns 1 and 2 should be 123,000' and 14 x 14, respectively.

On page 75 of GENX 023, Revision 2, SWEC states that tube end plates at rear brackets not loaded along the tube longitudinsi axis (e.g., skewed strut / snubber designs) maY be evaluated by the procedure for stepped tube anchors in Atachment 4-15 of CPPP-7.

This approach is reasonable as the loading on the plate in the stepped tube anchor design and its geometry are analogous to that of the tube end plate with rear end bracket.

5.4 Web Crippling 5.4.1 Description Concentrated piping loads normal to the flange of I-shape members can produce high local stress which may result in structural failure.

5.4.2

Background

Web crippling was identified by CASE as a local stress pipe support concern.

CASE alleged that the ASME,Section III rules of XVII-2213.5 and XVII-2261.2 were not being used to evaluate pipe supports for web crippling under concentrated pipe loads.

i Page 19 of 28

i 5.4.3 Acceptance Criter.in ASME,Section III provides rules for evaluating web crippling in I-shape members.

Allowable stress is defined in paragraph XVII-2213.5.

Evaluation methodology is defined in paragraph XVII-2261.l(a) for interior and end loads.

Stiffeners design requirements are provided in paragraphs XVII-2263.1; the width to thickness requiremer.ts of paragraph XVII-2224.l(b) for unstiffened stiffeners on plate girders provide more conserva-tive alternate design requirements for bearing stiffeners.

5.4.4 Review Process Pages 79 and 80 of generic calculation GENX 023, Revision 2 provide the development of an expression to evaluate web crippling in an I-shape member under a concentrated pipe load and define the stiffener design requirements when web crip-pling may occur.

This developmental work was reviewed for compliance with the ASME,Section III rules as defined in Section 5.4.3 above.

Algebraic manipulations, numerical accuracy and interpretation of Code rules were also evaluated.

5.4.5 Evaluation The expression developed on pages 79 and 80 of GENX-023 to evaluate web crippling in 1-shape members for concentrated pipe loads is properly based on the ASME,Section III rules of XVII-2261.2(a).

SWEC correctly assumes the bearing load is applied as a line load of zero width and will occur at a distance greater than k, the toe of fillet dimension, from the end of the member.

SWEC conservatively follows the ASME rules of XVII-2224.l(b) for design of ihe unstiffened bearing stiffeners.

SWEC, on page 80, also requires that the Page 20 of 28

stiffener thickness should be proportioned to the I-shape flange and web dimensions.

This is a good design practice which facilitates installation (fitup and welding) of the stiffeners.

5.5 Flange Bending in I-Shape Members 5.5.1 Description Structural attachments to I-shape member flanges can produce high local flange stress.

Generally, these attachments are located along the member where there is no stiffening /

reinforcement.

5.5.2 Background Flange bending in I-shape members was identified by CASE as a local stress pipe support concern.

CASE alleged that local flange bending effects of structural attachments (e.g., strut rear brackets) were not being evaluated and could, under certain conditions of load and geometry, impact safety.

5.5.3 Acceptance Criteria Evaluation of local flange bending is based nn ASME, Sec-tion Ill stress limits and appropriate analysis of stress using appropriate principles of engineering mechanics.

5.5.4 Evaluation On pages 77 and 78 of GENX-023, Revision 2, SWEC describes a procedure for evaluating local flange bending effects of Page 21 of 28

l rectangular structural attachments.

This procedure involves limiting the local flange bending stress at the toe of the web-flange fillet to the ASME,Section III stress limits of XVII 2214.3 for solid rectangular sections bent about their minor axis.

The effective section modulus expression for computing flange bending stress is appropriate and can be derived by a simple analysis of the stress expression and Km coefficients for a wide cantilever slab given on page 135 of "Formulas for Strass and Strain, 4th Edition" by Roark (Ref. 3.9).

The models for five rectangular attachment c&ses are defined on pages 77 and 78 of GENX-023 from which critical local flange bending moments (at the toe of the web-flange fillet-are calculated.

These models realistically approximate the load transfer behavior of the I-shape flange at the structural attachments and will provide sufficiently accurate determina-tion of critical local flange bending moments.

5.6 Bolt and U-Bolt Nuts Bearing Against Washer Plate or Tube Steel Wall 5.6.1 Description Tube steel is commonly fastened to concrete surfaces with expansion anchor bolts and threaded rods at Richmond inserts.

Also uncinthed U-bolts connected to tube steel are used as two-way rigid pipe restraints.

Both anchorages and U bolts involve transferring loads to the tube steel at the location of bolt holes.

Because of the high intensity of load under the relatively small nut or bolt head and the section dis-l continuity at the hole in the tube wall, high local stress will occur and must be assessed.

l l

Page 22 of 28 l

5.6.2 Background During the ASLB hearings, CASE identified as a concern the local stress effects of loaded fastener heads and nuts on tube members.

CASE alleged that these effects could be significant and had not been assessed.

5.6.3 Acceptance Criteria Evaluation of local stress in tube steel at loaded fastener nuts and heads complies with the code rules of ASME,Section III.

5.6.4 Evaluation On pages 84 through 106 of GENX 023 Revision 2, SWEC develops procedures and tables for evaluating the local stress effects of loaded fastener heads and nuts on tube members.

The procedure involves using tables to establish maximum fastener loads su:h that tube member stress will not exceed ASME,Section III code limits.

The procedure includes an expression to account for the reinforcing effects of large rectangular washers used mainly at tube to-Richmond insert / anchor bolt connections.

Pages 86 and 87 provide justification for the expression used to account for the reinforcing effects of rectangular washers.

The expression is derived from conventional beam deflection equations using compatibility principles.

Both tube wall and washer plate are modeled as simply supported beams with identical elastic deflection curves for this purpose.

This Page 23 of 28

approach, although not precise, does satisfactorily approx-imate the behavior of the washer plate and tube steel system in the region of fastener.

The derived expression is acceptably accurate.

However, in Revision 2 of GENX 023 the meaning of t1 on pages 84 (note at bottom of page) and on page 87 is mixed up.

t} should be the thickness of the "thicker" section.

(This will be corrected in Revision 3 of GENX-023.)

Also on page 87, the value of M 1

is incorrectly defined as the capacity of the "thinner" section.

M} should be the capacity of the "thicker" section.

(This too will be corrected in Revision 3 of GENX-023.)

The capacity tables on pages 91 through 106 are based on the derived capacity expression for the simplified beam model on page 88.

The effective section width is assumed to be the tube width less the diameter of the fastener hole.

This approach is quite simplified and approximate.

Several detailed elastic finite element analyses were performed by TERA to validate the SWEC approach.

These analyses failed to validate the SWEC approach for cases where the ratio of tubing width to hole size exceeded 6.

To validate the SWEC approach, RLCA performed for TUGC0 and TERA a limit analysis of the anticipated worst case connection:

a 1 inch fastener in a 10 inch wide tube.

The RLCA limit analysis was performed in accordance with the rules of paragraphs 11-1430 and NF-3221.4 of ASME,Section III.

The results of the RLCA analysis are documented in RLCA report, "Local Stress in Pipe Supports, Verification of Allowable Capacity of Tube Wall",

RLCA/P142/01 87/012, Revision 0 (Ref. 3.10).

The RLCA results demonstrate for the anticipated worst case connection that the SWEC approach is conservative and provides an acceptable ASME,Section III evaluation of local stress in the tube and washer plate at fastener locations.

Page 24 of 28

i 5.7 Main Member Edge Distance 5.7.1 Description Structural connections to tube steel members may occur close to the open end of the member.

When this occurs the connec-i tion capacity may be greatly reduced.

5.7.2

Background

At CPSES, many structural connections to tube steel occur close to the open end of the tube member.

These connections may consist of a tube, pipe, channel, angle, wide flange or bracket welded to the side of the rectangular tube steel member.

Because the capacity of the connection is influenced by the edge distance of the branch member, the effect of edge distance must be evaluated.

5.7.3 Acceptance Criteria The methodology for evaluating structural connections to tube steel for effects of edge distance is based on rational engineering analysis and accepted codes.

5.7.4 Evaluation Pages 26 through 34 of GENX-023, Revision 2 provide the development of a method for evaluating effects of edge distance on capacity of structural connections to tube steel.

This method involves adjusting the full capacity evaluation values for tube-to-tube and bracket-to-tube connection by an edge reduction factor.

Edge reduction factors are summarized i

Page 25 of 28

in graph form on page 34 as a function of the ratio of edge distance to main member width.

Edge reduction factors are developed by yield line analysis following the rules of paragraph 10.5.1.4 of AWS DI.1-80 and the approach of J. Wardenier in "Hollow Section Joints" (Ref.

3.11).

The yield line analysis approach of J. Wardenier is correctly presented on pages 26 and 27 of GENX-023 for evaluating full joint capacity.

On page 27, a conservative yield line model is presented to evaluate joint capacity as a function of edge distance.

The energy method development of expressions to establish capacity as a function of edge distance on pages 27 through 33 was reviewed for correctness of yield line energy equations, mathematical manipulation and simplification, and numerical accuracy.

Clearly paragraph 10.5.1.4 of AWS Dl.1-80 permits the use of yield line analysis for stepped box connections when B<0.8.

Consequently, for B<0.8 the reduction factors developed by yield line analysis can be applied to the full capacity values used to evaluate structural connections to tube members.

Both reduction factors and full capacity values are developed in accordance with the AWS 01.1-80 rules of section 10.5, When B10.8', AWS 01.1-80 requires that connection capacity be based on the punching shear rules of paragraph 10.5.1.3.

Based on the graphical results in Figure 4-13A on page 34 of GENX-023, it can be seen that as B increases the reduction factors increase.

This trend is quite logical and can be expected to continue for 0.8 811.0, since load capacity is 1

increasingly influenced by web crippling.

Use of these reduction factors for B 0.8 with the full capacity values for structural connections (based on the AWS rules of paragraph 10.5.1.3) is conservative and acceptable.

Page 25 of 26

~ ___

6.0 CONCLUSION

S 6.1 Generally the work of GENX 023. Revision 2 is acceptable and meets acceptance criteria.

There are several problems and errors sum-marized below which SWEC has corrected or agreed to correct in later revisions of GENX 023.

6.2 Several K] values in Tables 4-13.4A through 4-13.4F are incorrect, as identified above in sections 5.2.4.

These values will be corrected in GENX-023, Revision 3.

6.3 The weld symbol definitions on page 43 of GENX-023 for II (vertical parallel bars) and (horizontal parallel bars) are incorrect as identified above in section 5.2.4.

The correct definitions will be incorporated in GENX 023, Revision 3.

6.4 The local stress procedure for rear brackets welded to tube steel does not correct for the value of Qf when U>0.44.

SWEC has agreed to correct this in a later revision of GENX-023.

6.5 Two minor errors in Table 413.8 on page 76 were found.

SWEC has agreed to correct them in a later revision of GENX-023.

t 6.6 The parameter t,

used to develop. an expression for the local i

capacity of a tube with washer plate bolted connection, is incor-rectly defined on pages 84 and 87 as the "thinner" element; t} should be the "thicker" element.

SWEC will correct this in GENX 023, Revision 3.

6.7 Several errors in Table 4-13.5A, 4-13.51, 4-13.5J, and 4 13.7A were four.d.

SWEC has agreed to correct them in a later revision of GENX-023.

l l

l l

Page 27 of 28 l

l

i 7.0 ATTACMENT A. - 8 sheets (1)

8.

12 sheets'(1) i C. - 11 sheets (1)

D. - 67 sheets (1)

E. - 73 sheets (1)

Note (1):. Includes cover sheet for each attachment.

I i

h 4

4 l

I Page 28 of 28

W. 5 - 2.o 4 7 ATTACHMENT 1 (DAP E P 070)

(1)

Procedure for Computing 1 sheet (2)

LOTUS 1 2 3 Results for 6 sheets Tables 4 13 lA through 4 13.lJ 7 sheets 4

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1

ATTACHMENT 2 (DAP-E-P-070)

(1)

LOTUS 1-2-3 Results for 10 sheets Tables 4-13.5A through 4-13.5J (2)

LOTUS Spreadsheet Cell Definition 1 sheet 11 sheets O

E N V -02 *$

OV2 TARE 4-13. S I

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4. 168 0.197 8.268 l

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1. e4 1,33 1.39
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8. P59 8.864
8. 972 8.085
8. IE 0.2*M INI 1971.43 !$&?.25 !!!6.07 lin.39 1275.51 1428.57 1674.!! 210e.84 IW I 0.072 L 873
0. 875 0.979
0. M6
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0. P90
0. P91
0. 994
0. P99 0.107 0.120 0,141 0,j77 0.3758 I W I 1687.14 1623.38 1674.!! 1766.99 1913.27 2142.86 2511.16 3151.26 IW l
0. l M 0.1P9 0.113 0.!!9 0.129 0.144 0.169 0.212 i

l 6.580P I W I 2142.86 2164.58 22 2.!4 W.79 2551.t? 2857.14 3348.21 4291.68 IW I S. 1 44 8.146 0.1W 0.159 8.172 8.192

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0.1875 IFVI 937.5e 946.57 9.'6. 56 1839.22 !!!6.07 1250.M 1464.64 1838.24 IW I 0.863 6.f64

8. 866
8. M9
8. 975
8. 884
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IW I 0.A64 0.865

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8. P93
0. !N 0.112 8.132 0.165 0.3125 IFW' 1 52.50 1578.28 1627.60 1717.83 1867.12 c'983.33 2441.41.W63.73 IW i 1.195 C.106 0.110 0.116 0.125
8. 144
6. 1 64 4.296 0.3754 IFWJ 1875. W 1893.94 19'J.13 2%7.44 2232.14 2500. M 2923.69 3676.47 IW l 0.126 0.128 8.132 0.139 9,158 0.168 0.197 0, 248 0.'.A9 IFVI 25M.W 2' 5.25 2684.17 2747,25 7376.19 3333,33 3'.E.25 4%!.%

2 iW 1 8.168 9.179 8.175 8.I85 9.21 9 8,225 8.263 8 33P 6

t t

m esmv ere

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13.33 3 ETA I S. 50

0. S5 0.68 8.65 8.78
4. 75
0. 8#

0.85 Db i 1.00

1. Pl
1. e4 1.19

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1. 13 1.56
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8. 959 9.P62 I.P68 9.976
0. N9 8.!!!

8.25M IWI 1125.26 1834.65 !!72.17 1236.57 1339.62 15N.38 1758.25 2286.43 IW l I.F76

8. P71
0. P79 8.P&3
8. P9P 0.101 8.!!8 0.149 8.J125 IWI !4E.68 1429.8! 1465.21 1545.72 1674.53 1875.47 2197.82 2758.64 IW I 8.P95
8. P96 d.999 8.184 8.!!3 8.126 0.148 0.1E l

8.3758 IWI 1687.T 1764.97 1758.25 1854.E 2993.43 2250.56 2637,38 33r9.65 IW I 3 114 8.115 8.:18 0.1 25 0.135 8.152 0.178 8.223 0.5Me IW I 2250.56 2273.33 2344.34 2473.15 2679.24 30M.75 3516.58 4412.87 IW I 8.152 9.153 8.I'd 0.167 8.188 8.262 0.237 f.297

w. e.

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10.67 OAI 4.M 8.55

0. 6#
p. 65
p. 7e
e. 75 g.y g,35 h1
1. M
1. pl
1. M
1. j p 1.19 1.33 1.56 1.96 te 1

el

=mm e 0.1875 I NI 1964.36 IM5. f! ItM.29 1158.64 i255.19 14M. 81 1647.43 2067.37 IW l

8. 971 0.072 0.974 8.078 0.885 f.P95 8.111 0.139 8.25N INI 14M.81 1429.01 1664.39 1544.85 1673.58 1874.41 2t E 58 2756.49 l

IW l 8.P95. t. P96 f.P99

8. ! M 8.113 0.126 0.148 8.186 i

it.3125 I NI 1757.26 1775.01 18Jt.48 1931.06 2P91.98 2343.82 2745.72 3445.61 IW I 8.118 0.129 8.123 0.130 8.141 0.158 8.'85 8.232 8.3750 I NI 2168.72 2130.82 21 % 58 2317.27 2510.38 2811.62 3294.87 4134.74 IW l s.142 s.143 0.168 0.156 s.169 a.189 e.222 e.278 0.5Ne INI 2811.62 2644.82 2928.77 3889.69 1347.17 3748.83 4393.16 5512.98 IW i 1.189 0.191 8.197 0.298 8.225 0.252 8.296

8. 371 m

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TABLE 4 13.5F W

10. N CAI 8 58 8.55 0.68 8.65 0.78 8.75
0. 8e 0.85 Ot I
1. N 1.91
1. e4 1.jp 1.19 1.33 1.56 1.96 te i

=======3 1 -

.... m====.....

mera rs-s=======.n n n a n==

0.187: IFWI !!25.N 11E.36 !!71.88 12 %.26 1339.29 15N. N 1757.81 2285.88 IW I 0.976 8.f77 8.F79

8. M3 8.P90 0.181 0.118 0.149 0.2*.4e IFWI !$N.N 1515.15 1562.58 1648.35 17as.71 2fM.N 2343.75 2941.18 IW l 0.191 8.182 0.185 8.!!!

8.129 0.135 0.158 0.198 8.3125 IFWI 1875. N 1893.94 19'3.13 2868.44 2232.14 25N.te 2929.69 M76.47 IW l 9.126 8.128 0.132 0.139 0.154 0.168 8.197

,8.248 9.3758 IFVI 2254.80 2272.73 2343.75 2472.53 2678.57 3000.N 3515.63 4411.76 IW l 8.152 8.153 0.158 0.167 0.188 8.2f2

8. 237 8.297 0.5me IFWI 38N.te 303e.38 3125.00 3296.79 3571.43 44N.se 4687.54 5882.35 IW l 8.2&?

8.2S4 8.210 0.222 0.241 8.269

8. 316
8. 3%

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...n si mummmunnn.n -nm n e TAM 4 13.5G 64*9=

9.33 BETA i 0.50 9.55 0.64 0.65 0.70

8. 75 0.8e 0.85 Ob i 1.N 1.01
1. 64 1.18 1.19 1.33 1.56
1. 96 te I

========1

..._... n n 8.1875 INI 1295.79 1217.97 12 %. 63 1325.64 1435.46 16e7.72 1864.64 2364.29 IW l

8. N1 0.8&?
8. 485
8. N9
8. P97 8.188 0.127 8.159 0.25N IFWI 1647.72 1623. % 1674.71 1766.72 1913.95 2143.62 2512.06 3152.39 IW l
8. lN 0.lP3 0.113 f.119 8.129 f.144 0.169 8.212 0.3125 IFWI 2999.65 2029.95 2993.38 2268.40 2392.44 2679.53 3164.07 3940.48 IW I 8.135 0.137
0. 141 8.149 a.161
8. 180 0.211 8.265 1.3758 IFWI 2411.58 2435.93 2512.06 2650.08 287P.92 3215.43 3768.09 4728.58 l

IW I 8.162 8.164 8.169 8.178 0.193 0.217 0.254 0.318 8.5G M IFWI 3215.43 3247.91 3349.41 3513.44 3827.98 4287.25 5424.12 6384.77 IW I 8.217 8.219 s.226 a.238 p.258 s.289 s.no s.425

r. ::. T :.

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8.Se SETA I 8.58 8.55 8.68 8.65

0. 78
8. 75 8.88 8.85 Ob i
1. N

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1. k4 1,18 1.19 1.33 1.56 1.%

te I

l-....--..._.._..._...mm.,,,....._...

8.1875 INI 1486.25 1429.45 1464.84 !$45.33 1674.11 1875.80 2197.27 270e.N IW I

8. 995
8. 096 8.P99 8.184 8.113 8.126 0.148 0.182 8.25N INI 1875.N I893.94 1953.13 2868.64 2232.I4 25M.N 2929.69 3600.88 IW I 8.126 8.128 8.132 8.139 8.158 0.168 8.197 8.242 8.3125 INI 2343.75 2367.42 2441.41 2575.55 279e.18 3125. N 3662.11 4588.88 IW l 8.158 8.159 8.164 8.173 0.188 8.218 8.247 8.383 8.T758 INI 2812.58 2644.91 2929.69 3P30.66 1348.21 3754.N 4394.53 5488.88 IW I 8.189 8.191 8.197 8.288 8.226 8.253 8.296 8.364 8.5N e I N I 3758. N 3787. 88 3986.25 4129.88 4464.29 5Ne. N 5859.38 72N.Se ili I 8.253 8.255 8.263 8.278
8. 381 8.337 8.395 8.485 ef

[

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TABLE 4-13.51 GMMs

6. N ETA i
e. 50 e.55 e.66 e.65
e. 7e
e. 75
e. 8.

e.85 Ob I

1. #

1.el

1. e4
1. le 1.19 1.33 1.56
1. %

te 1

1

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45ee.e.

\\u o e.21.

e.213 e.21, e.231 e.nl e.nl e.x3 e.ua

..me im v5e.* 2n7.u 29 6.a un.u 4464.2s 5me.= 5.n.=

5=..

uw I e.n3 e.n5 e.e63 e.2n e.nl e.3n e.364 e.364 t

e.5m im 5=.=

5 50.5 5ne.u 549.5i 5952.x 6666.67 nm.= nn.m iw i. 3n e.us e.35:

e.m

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e. 4e

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TARE 4-13.5J Bes@s 5.N DI 0.50

0. '2 0.60 0.65 0.70 0.75 0.80 0.85 Ob l
3. M 1.01
1. 04 1,lp 3,39 1.33
1. 56 1.%

te I

=r21-...._

m.m.m m-.

=

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=

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8. 242 8.242 8.3125 IFWI 3750.80 3787.88 3906.25 4 lit.88 4464.29 4580.se 4500.80 450e.80 IW l I.253 8.255 0,263 8.278
8. 301 8.303
8. 303
8. 303 0.3750 IFVI 4'A0.M 4545.45 4687.50 4945.05 5357.14 54W. M 54M.M 54M.M iW I S. 30J
0. 306 8.316 0.133
8. 361 8.364 0,364 8.364 8.5 N e irWI 6M e. M 6064.61 6250. M 6593.41 7142.86 7200. M 7290.M 7290.St IW I
0. 404 0.408 0.421
0. 444
0. 481 0.485 0.485 0.445 l

,..h. _.. _. 6 _..C. N.. _. h Y C.

/[h 67

a.. n. :.

LL 1

l l

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l

IET ENi-423-2, ELL F08ML8tS 1ABL ' 4-13-M T)eJ 5J Dl: 'c====

D3: (F2) 16 04: (F2)

DS: (F2) 9.5 06: (F2) 0.25/(D5et!-05))

06: (F2) '

D}: (F2) M ! N ( ( *A9e D% +6MN /lDl 3 ), (144Ne lA9) )

Dlft (F3) +09/(0.797*21000)

D11: (F2) MI N ( ( +Al l 6 M6 +6MW / S Dl3 ), (144 N411 ) )

D12: (F3) +Dil/(0.7076210N)

Dl3: (F2 ) M I N ( ( +A 13 e D66 +6MW / S Dl 3 ), ( 144 N +4131 )

D14: (F3) +D13/(0.797*210er)

D15: (F2) MIN ((*A15+ D666680# /lD13), (144N +415) }

D16: (F3) +D15/(0.797*21080)

D17: (F2) MIN ((+A176D66+6MW/lDl3),(1444F-bi. :

D18: (F3) +D17/'t.707e210N)

D19: (Fil *

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ATTACHMENT 3 (DAP-E-P-070)

)

(1)

LOTUS 1-2-3 Results for 9 sheets Table 4-13.7A through 4 13.71 (2)

LOTUS Spreadsheet Cell Definition 1 sheet 10 sheets 9

l MC CALC. W. GEht-N3 REV 2 ENGG. EVALUAllCh l

meer=======3 :sre ssver==== =res e========: r====

r==s 3====

1 TARE 4-13.7A GW

16. M ETAted 1
0. W
9. 68 9.79 0.80 0.99 1.0e Gt i 1.88 2.M 2.13 2.5 2.38 2.M te i

emessawra i swan-==sram arra s surs s e r==res======ses s e =====3 r..

===,3 8.1875 IFVI 1318 14 %

1494 1582 1678 175e IW I D. N3

0. FT.,

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IW l 8.148 0.158 0.168 8.178 0.187 8.197 8.T758 IFWI 2637 Q813'; 2988 3164 3348 3516 iW i.. in

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MC CALC. W. 6D0 423 IEV-2. DE. EVALUATim

= = = = = = = = = = = = = = = = = = = = =. -.

====

Tra.f 4 13.7B N

14.00 ETA N 1 0.56 0.6e 0.79

c. 8e 3.9e 1,3s De i 1.M 2.88 2.13 2.25 2.34 2.58 te 1

rela-

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0.1875 INI 1587 1687 1788 18N Igu 2,e9 IW I 8.181

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8. lM 0.3125 INI 2511 2679 2646 3f13 3181 31'8 IW l 8.169 8.188 0.192 0.293 S.214 0.226 f.375e IFWI 3813 3214 3415 3616 3817 4018 iW i 8.2u

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8. 271 8 289 8.307 8.325 8.343
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g. 3e g, gg g, g, De i
1. 88
2. 8P 2.13 2.25 2.38 2.9 te i

8.1875 I NI 1566 1692 1737 1993 29P3 2115 IW l 8.387 0.114 0.123 8.128 8.335 0.142 0.2588 IFWI 2115 2256 2397 2538 2f;73 2829 IW I S.142 0.152 0.161 0.171 g.13e 3.19e 8.3125 IFWI 2643 2829 2996 3172 3348 3524 IW I p.178 p.lge 3.2g2 p.214 0.226

8. 237 8.3758 i W l 3172 1383 3595 38f6 4818 4229 IW l 8.214 0.228 8.242 S.256 e.271 8.285 0.5888 I N I 4229 4511 4 733 M75 5357

$631 IW l 8.285

8. 384 8.323 8.342 s.361 s.36p o'

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9EC CALC. M1, KN1423 EV-2. ENGG. EVALLETICN mm.

TABLE 4-13.7D swc=

12. 00 ETA W I 0.58
8. 6f 0.70 0.80 0.90
1. 09 Db i
1. 88
2. 0F 2.13 2.25 2.38 2.50 te I

sme s mme l e===== =..-

0.1875 INI 1758 1875 1992 21P9 2227 2344 IW l 0.118 0.126

0. 1 34 0.142 0.19 0.1%

0.2500 IFWI 2344 25M 2656 2813 2969 3125 IW l 0.158 0.168 0.179 0.189 0.298 0.210 0.3125 IFWI 2930 3125 3320 3516 3711 3906 IW I 0.197 0.210 0.224 0.237

0. 2M 0.263 0.3750 INI 3'16 37M 3964 4219 4453 4688 IW l 8.237
0. 253 0.268 0.284 0.300 0.316 0.5eN INI 4688 5000 5313 5625 5938 L".A IW I 0.316
0. 317 8.358 0.379
8. 400 0.421
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1. 88
2. 8e 2.13 2.25 2.38 2.56 te I

t 9.18'5 I N I 1977 21P9 2241 2372 2504 M36 IW l 0.133 0.142 0.151 0.16e 0.169 0.178 8.25M I NI K36 2012 2987 3163 3339 3515 IW I 0.178 0.169 0.201 0.213 0.225 0.237 0.3125 IWI 3295 3515 3734 3954 4174 4393 iW l 8.222 8.237 8.252 8.266 0.281 S.296 0..T754 I W I 3954 4217 4481 474',

5888 5272 IW l I.266 0.264

0. 382
0. 329 0.337
8. 355 0.5000 IWI 5272 5623 5975 6326 6678 7029 IW l
8. E5 0.379 0.442 f.426
8. 450 0.473 e

c p... ' *)...~ e W'n-_

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i

SEC CALC. M). GEhM23 EV-2. DG. EVR. TAT!>

=

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18. M ETA (nl 1 0.50 9.64 8.79 8.84
0. 90 1.N De i
1. 88
2. Se 2.13 2.25 2.38
2. '4 te I

========l=====.-======-

. - - m er m= =.

m 8.1875 IFWI 21',9 2258 2391 2531 2672 2700 IW I

4. i d 0.152 0.161 0.170 0.18e 0.182 F.25fe IFVI 2813 Jefe 3188 3375 3563 360e IW I t.183 0.202 0.215 0.227
0. 240
0. 242 0.3125 IFWI 3516 3750 3964 4219 4453 4500 IW l 8.237 8.253
8. 264 8.264 8.JSP 8.383 0.375f IFVI 4219 45fe 4781 5863 5344 5488 IW I S.284
1. 303 8.322
8. 341 0.368
8. 364 8.5Ne IFWI 5625 6000 6375 6754 7125 7200 IW l 8.379
8. 444 8.429 8.455 8.488 8.485 O

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Q.t P 7 A. p.: o W N v.

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9EC CALC. W. KNI-423 EV-2, IG. EVftuATICN

...-._r==n TABLE 4-13.76 Ime 9.33 ETAf r.1 1 0.50

0. 60
0. 70 0.80
0. 90 1.m Ob !
1. 00 2.00 2.13 2.25 2.38 2.50 te i

.l

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8.1875 Iml 2261 2412 2562 2700 27M 2700 IW l 0.152 0.162 0.173 0.182 0.182 0.162 9.25M IWI 3014 3215 3416 36N 36N 36M IW l 0.203 0.217 0.230 0.242 0.242 0.242 l

0.315 IWI 3764 4019 4270 4500 4500 4500 IW l 3.254

0. 271 0.26a 0.10t3 0.3a3
0. 303 0.3750 INI 4522 4823 5125 54a0 5400 54N Ik l 0.305 0.325 0.345 0.364 0.364 0.364 0.5000 IWI 6429 6431 6833

- 72N 7290 725t IW I

0. 4%

0.433 0.460 0.445 0.485 0.445 4

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= = = = = = _

- -.m==== ========== m em em===

74RE 4 13.7H Efet%:

8.N ETA N 1 0.50 0.64

0. 70
8. M
t. 96
1. 0e De i 1.88 2.00 2.33 2.25 2.38 2.58 te 1

- I --

= = = = = = = = = = = = = = = = = = = = = = =. = = = = = =

0.1975 IFVI 2637 27N 27M 27CP fin 270e IW l 0.178 0.182 0.182 0.182 S.182 0.182 0.2549 IFWI 3516 368e 36N

.%M 36N 360e IW I 0.237 0.242 0.242 0.242

0. 262 0.242 0.3125 IFWI 4395 45N 45M 45M 4540 4580 iW l 8.296
8. 303 11.383 L 383 8.383
8. 303 0.3758 IFVI 5273 564p 56M 54M 54M 548F IW I
0. 355
0. E
0. E
0. E I. E
8. E 0.5Ne IFWI 7831 7200 72W 7200 720e 7200 fiI 8.474 8.415 9.465 8.485 8.485 8.485 j

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GApsen

6. N

[TA(n) 1 0.50 0.68 8.79 0.87 0.W

l. N On i
1. 88
2. M 2.13 2.25
2. 38 2.58 te i

I 9.1875 INI 27N 27N 2700 2700 27N 27N IW l 0.182

0. 182 0.182 0.182 8.1 82
0. 182 8.F5N INI 36N 36N 36N 3606 36N 3609 IW I 0.24 0.24

'J. 24 0.24 0.242 0.24 l

0.3125 INI 4500 450(r 4500 4500 4500 4500 li8 1

0. 383
0. 383
8. 383
8. 303 0.383 1 303 8.3750 IFWI 54N 56N 5AN 54N 54M 5400 IW I
0. B
0. B
0. D 0.364 0.364 0.364 0.5009 iWI 72h 7298 7200 7290 7290 729e IW l 8.485 '. 8.485 8.485 8.485
8. 485 8.485

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MC CR.C. ML EN1-423 EV-2, III.L FDALRS FDR TAR fS 4-13-7A THPJ 71 01: '

03: (F2) 16 D4: (F2)

D5: (F2) p.5 06: (F2) 1.25*(1+D$5) 00: (F2) '

-=

D9: (Ff) P ! N ( ( l*Yv e D66 *64999 / lM 3 ),14449 t l A9)

C10: (F3) +D9/(f.7978210Pf3 Lll: (FI) >!N((talle&S644000/lDt3),146M+6412) 013: (FJ) +Cl2/(0.787s21000)

C15: (FI) PIN ((SA15+D64+64800/SDl3),1644*+6415)

D16: (F3) +D;5/(f.707*210Ps) 018: (FI) MIN ((6410*D6666Mee/lDt3),1648&olA18)

D19: (F3) +C18/(f.707s210001 021: (FI) PINiflAlltD66400$f/l?t3),1644946A21)

D22: (F3) +021/(0.707*21000)

D23: (F2) '

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LOTUS 1-2-3 Results sfor (able 413.dA; '.

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u sheet.5-Type A Load

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(2)

LOTUS 1-2 3 Ress1ts for Table 4-13.48,

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Type A Load 4

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(3)

LOTUS-?-2-3 Results for Table 4-13.4C, 3 sheetss.

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(4)

LOTUS 1-F3 Results for Table'K-13.4Dx s

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,1 b-($) l'107U'i 1 2 ') Resa'.ts for Tabl.a 4-13.4E, 8 sheets i

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(6)i LOTUS 1-2 3 Resultr 'for Table 413.4F, 8 sheets

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LOTUS 1-2-3 Results for Table 4-13.4G, 8 theets 1

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2. W t.2A 1.6N 1.375 1.We 1.375 4.750 1.000
1. 8N 4.750
2. 7 1.63 2.7e 2.34 2.19
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TS 313I1/4

3. N 6. 258 1. 8N 1. 375 1. 9N 1. 3 %
4. 756 1.375
1. 0N 4. 0
2. 7 1,63 2.7 P
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TS 41413/16 4.W t.1881.tN 1.33 1.pN 1.375 4.750 1.375

1. 9N 4.750 2.7 1.63 2.79 2.34 2.11
1. 5:

TS 4:4al/4 4.N f.25e 1.DN 1.375 1.8ee 1.375 4.758 1.375 1.000

4. N 2.7 1.63 2.76 2.34 2.19 1.9)

TS 41415/16 4.W t.3131.tet 1.375 1.9N 1.375 4.758 1.375 1.eN 4. &

2.7 1.63 2.78 2.34 2.19

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TS 414I3/8 4.fe 0.375 1.fW l.375 1.Ne 1.375 4.75e 1.375 1.000 4.758 2.7 1,63 2.70 2.34 2.19 1.5; TS 41411/2

4. te 0. 500 1. 900 1. 375 1. tee 1. 375
4. 75f 1.375 1.epe 4.75e
2. 7 1.63 2.79 2.34 2.19 1.91 TS 51513/16 5.00 8.168 1.fN 1.375 1.000 1.375 4.758 1.33 1. tee
4. 754
2. 7 1.63 2.70 2.34 2.19 1.91 TS 51511/4 5.W 9.25e 1.tN 1.375 1.Ne 1.375 4.750 1. 3 75
1. tN 4.75e
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TS 51513/8 5.fe 9.375,1. tee 1.375 1. fee 1.375 4.750 1.375

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4. D 2.7 1.63 2.79 2.34 2.19
1. 9; TS 51511/2
5. N 0. 5W !. 9N 1. 375 1. 000 1.375 4.75e 1.375 1.000 4.750 2. 7 1.63 2.70 2.34 2.19 1,91

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!! 61513/16 Lee 0.1881.0N 1.375 1. 8N !.375 4.75e 1.375

1. 0N 4.754 2.7 1, 63 2.79
2. 34 2.19 1, 91

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2. 7 1.63 2.7e 2.34 2.19 1,91 3

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1. 9)

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4. 750 1.375 1.99e 4.750
2. 7
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2. 7 1.63 2.76
2. M 2.19 1.51 TS tlo!!/2
8. W I.See 1.08e 1.375 1.000 1.375 4.75P 1. 375 1.009 4.754 2. 7 1.63 2.79 2.34 2.19 1.51 TSlfilf13/8 If.te 8.3751.0001.375 1.800 1.375 4.754 1.375 1.000 4.754
2. 7
1. 63 2.78 2.34 2.19 1.9:

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2. 7 1.63 2.79 2.34 2.19 1.91 TSilI'fM/F If.M 8.6251.Ne 1.375 1.999 1.375 4.75e 1.375 1.Ne 4.754
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1. IN 4.754 2.7 1.63 2.79
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0.4 8.33

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9. 34
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4. 00 1.N 7.58
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0. 34 0.25 L 44
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5. N 1.00 12.N 1.N
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3. 84
4. 39 8.17 0.23 0.23 0.17 ILee 1.00 1 75
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3. 44
4. 39 0.17 4.23 0.23 0.17 9.64 1.N L 25
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3. be 4.39 0.10 8.14 0.14 0.10 13.33 1.08 4.54
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1. 35
3. 84 4.39 0.10 8.14 0.14 0.10
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1. M 7.50
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3. 80 4.39 0.M 0.11 0.!!

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LOCAL STRESS PRZd7(1.f*II.3n'livif-Q LO4 TcFLE 413-4A 092' W1 SK' W3

%4 SC S4 21.5 12,4 23.6 LCR Tytt-c 9 & TEP (EtlWMci ELD LOGR 90RTER ALLP3M 904fER LONSER R LR'JN SECTION CLUS OF WELD

= = -


* m = =

mm ACROSS ELD ELD ELD ELD ELD ELD F Wl/te F W nt F4h: l'J ~ei?

7UPE ACROSS K+R,tLEL ACOSS NRALLEL (SO.!N) (53.!N) (SO. !M uso Dsn 8 in olf!%

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m s n.........=m -

mummmn 11 w,sn nun.

W GG M

Al AJ M

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m A0 AG M

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=======m ma mm==.........-a r n

mm mm m

.m n.mmmemumun

1. 88 0.33 1.38 1.71 1.00 0.33 1.71 0.33 1.0e 1.71 5.4 5.4 2.27
7. M 1.67 0.33
1. 38 1.71 1.38 0.33
1. 71 0.33 1.38
1. 71 5.40 3.93 2.27 7.5 1.56
0. 33 1.38 1.71
1. 38 0.33
1. 71 0.33
1. 38 1.71 7.20 5.24 3.02 7.%

1.56

0. 33
1. 38 1.71 1.38
f. 33
1. 71 0.33
1. 38
1. 71
5. 48 3.93 2.27 7.E 1.56
0. 33
1. 38 3.71 1.38
0. 33 1.71 0.33
1. 38 1.71 4.32 3.14
1. M
7. E 1.56

' t. 33 1.38 1.71

1. 38
0. 33 1.71
0. 33 1.38 1,71
3. 68 2.62 1.2 7.E 1.56
0. 33 1.38 1.71
1. 38 0.33
1. 71
0. 33
1. 38 1.71 2.70 1.%

1.14 7.n

1. 'J
0. 33 1.38 1.71 1.38 8.33 1.71 0.33
1. 38 1.71 7.29 5.24 3.93 7.75 1.50
0. 33
1. 38 1.71
1. 38
0. 33 1.71 0.33
1. 38 1.71
5. 4 3.93 2.27 7.71 1.50
0. 33 1.38 1.71
1. 38
0. 33

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1. 38 1.71
3. W 2.M
1. 'J 7.n 1.5e 0.33
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0. 33 1.71 0.33 1.38 1.71 2.70
1. %

1 14 7.M 1.4

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0. 33
1. 71
0. 33 1,38 1.71 7.29 5.24 3.03 7.n 1.4 0.33
1. 38 1.71
1. 38
0. 33
1. 71 0.33
1. 38 1.71 5.40 3.93 2.27 7.n 1.4
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1. 38 1.71
1. 38
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3.14 1.M 7.75

1. 4 0.33 1.38 1.71
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1.46 0.33

1. 38
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1.14

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1.41 0.33 1, 38 1.71 1.38 0.33 1.71 0.33 1.38

1. 71 5.4 3.93 2.27 7.E 1.41
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0. 33 1.71 0.33 1, 38 1.71 3.W 2.62 1.2 7.3 1.41
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1. 38
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1, 38 1.71 2.70

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1. 38 1.71 2.70 1.%

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L0AD 1 Y P E -P FORCEON WELD m.

m.n m.neme.m mmm.mn-m.n n.msne==m-----...nn = nnn 15Feh5 15FW3e 15Ne FWBt 24Mit 26N45 24M3e 24r H FWB2 36fWM4 36 M 45 36 M !t 3U.a r.H mnn (KI M/ I N MK I M/ I N M K lM /INMK IPS /] N HK IPS /lN 1 (K !M/I N H KI PS / l N H k ! P m.mmnmn mmm. m m..mmum

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r=mt r====rren s.m :an

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2. D
16. M 12.87 13.16 13.16 2.45 2.%

1 25 3.19 3.5 1.78 2.22 2.51

2. !?
2. D

!$. 26 12.97 13.16 13.16 2.45 2.95 3.25 3.19 3.25 1.78 2.22 2.51 2.D

2. D 18.M 12.97 13.16 13.*6 2.45 2.95 3.25 3.19 1 25 1.78 2.22 2.51 2.57 2.D
18. 26 12.07 13.16 13.16 2.45 2.95 3.25 3.19 3.25 1.78 2.22 2.51 2.D
2. D II.26 12.07 13.16 13.16 2.45 2.95
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5. N 3.54 TS 4:4:l/4
4. N 8.250 1.548 3. fee 1.5M 3.efe 9.000 3.000 1.500 9.000 5.0 2.00 5.00 4.33 5.te
3. 54 15 4I415/16 4.00 8.3131.5N 3.Ne 1.5N 3. K4 9.888 2.758 1.500 9.000 5.0 2.00
5. 88
4. 33
5. se 3.54 TS 4I413/8
4. N f. 375 1. 5M 3, Ne 1. 5N 3.008 9.000 2. 5N 1.5 N 9.000 5.0 2.64
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4. 33
5. 00 3.54 TS 414I1/2 4.00 0.500 1.500 3. fee 1.500 3.889 9.000 2.ase 1.500 9.000 5.0 2.98
5. N 4.33
5. se J. 54 TS 5I!!3/16 5.00 8.1881.5N 3. fee 1.50e 3.see 9.80e 3.000 1.580 9.tes 5.0 2.00
5. 8P 4.33
5. N
3. 54 TS $1511/4 5.00 0.258 1.500 3.000 1.500 3. tN 9.tre 3.088 1.500 9.spe 5.0 2.00
5. 00
4. 33 5.N 3.54 T5 5I513/8 5.08 8.3751.500 3.Ne 1.5M 3. 000 9. fee 3.000 1.500 9. 000 5.0 2.00
5. 00 4.33
5. N 154 T1 515I!/2
5. N 0. 5de 1. 5N 3. 000 1. 5W 3.000 9. IN 3. 000 1.500 9. 9N 5.0 2.08
5. 00 4.33 5.fe 3.54 TS EI613/16 Lee 4.1681.500 3.Ne 1.5N 3.000 9.000 3.000 1.5N 9.000 5.8 2.98 5.08 4.33 5.N
3. 54 TS 61611/4 E. N f.254 1.5N 3.000 1. 5N 3. 9N
9. ON 3.000 1.500 9. tee 5.0 2.00 5.N 4.33 5.fe 3.54 TS 616I5/16 L N B.3131.5N 3.IN 1.5N 3.efe 9.f# 3. fee 1.588 9. tM 5.0 2. 00 5.M 4.33 5.N 3.54 TS 6I613/8 L ef I.375 1.500 3.000 1. 500 3.000 9. 088 3. 999 1. 500 9.000
5. 0 2. M
5. M 4.33
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3. 54 TS &I611/2 L GI 8.5ep 1.500 3.800 1.Sf6 3.006 9. 000 3. No 1.588 9.800 5.0 2. 08 5.N 4.33 5.N 3.54 TS 81411/4 8.00 0.250 1.500 3. Ne 1.5N 3. tee 9.000 3.000
1. 5N 9. 0N
5. 0 2.00 5.00 4.33
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3. 54 TS SISI3/8
4. N 0. 375 1. 5N 3. eN
1. 588 3.Ne 9. 889 3.880 1.548 9.008 5.0 2.se 5.N
4. 33 5.N 3.54 Tl 818I!/2
8. N 0.500 1.5ef 3.000 1.5fe 3.0fe 9.000 3.000 1. 5N 1.000 5.02. es EN 4.33
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5. 9 2. N
5. M 4.33
5. N 3.54 T510!!0!!/2 10.00 0.5N 1.5W 3.800 1. 5M 3. 0N 9 Ne 3. fee 1.5M 9. 000
5. 0 2. M 5.00 4.33 5.N 3.54 1510110I5/810.M 0.62*, l.5N 3.000 1.500 3.0fe 9. fee 3.tN 1.50e 9.804 5.0 2. 00 5.M
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5. 0 2.te 5.00 4.33
5. se 3.54 TS1211211/212.N 0.5fe 1.5N 3. fee 1.5N 3.see 9. fee 1 000 1. 5N 9. fee 5.I 2.IB
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2. 0 5.M 4.33 5.N
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s LOCAL STIESS BRADI!(1.5'I3' inst 4 LOC TAfq.t 413 4P ft K SIIE FES45 FSIN3P F C S3D F E SS KTA) K1A2 ITAL ETA 2 EMI Df Vc OH TWICNEC 545 Fv38 m38 Me el n2 rl (IASICI LCDG 8 (14) Fy/.k 0.0 AC8055 (!N) (I H !P) (XIP) (! M IP) (! M IP) (ps0 TVi( A R S T U V W I Y Z AA AF AC TS 212I!/4 7.07 2.54 8.H 10.00 0.54 8.58 1.50 0.75 4.00

1. 00
15. N 1.80 T5 31311/4
7. 87 2.50 4.M
18. to
8. 50 0.67 1.00 0.54 L to I.le
10. N 1.fe T5 41413/16 7.97
2. 54 4.64
10. 00
0. 38
0. 75
0. 75 0.38 10.67
1. M
5. 63
1. N T5 4:4st/4 7.97 2.50 8.66
10. 0P 0.34
8. 75
0. 75
8. 38
8. 08 1.80 7.58
1. N T5 41415/16 7.07 2.54 4.64
10. 00 8.38 8.69
0. 75
0. 34 6.40
1. 00 9.38
1. N TS 4I413/8 7.07 L50 LM
18. 08
8. 34
8. 63
0. 75
0. 34 5.33
1. 08 11.5
1. N T3 41411/2 7.97 2.54 L 66
10. 08 8.M
t. 50
0. 75 0.34 4.83 1.10
15. N
1. N T3 5I513/16 7.07
2. 58 L 66 10.00
0. 30 6.64
8. 60
8. 30 13.33 1.N 4.58 1.N TS 51511st 7.97 L58 L 66 10.00
6. 38 8.64 8.64
8. 38 18.00
1. N LN
1. 00 TS 51513/4 7.07
2. 50 L 66
10. 00
0. 38 8.64 8.64
8. 38 L 67
1. N 9.00
1. N T5 515I1/2 7.97 2.5A 4.E
10. 00
8. 30 0.64 0.64
8. 30
5. 08
1. N 12.ep
1. N TS 61613/11 7.87 2.54 S.E
18. 00 8.25 8.50 L 50
8. 25 IL M l.00 3.75 1.N TS 61611/4 7.0
2. 50 L 66
10. 00 0.25 0.54 0.50 0.25 1.2. N

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7. 87 2.50 AE 18.88
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8. 50 8.54
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1. N T1 61613/8 7.87
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10. 00 8.25 0.50 0.54 0.25
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10. 00 0.25 0.50 0.50 0.T5 L 88 1.08 IP. N 1.N TS 41411/4 7.07
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SWC, 21,5 22,4 73.6 THIDMSS SORTER L(NGER SORTER

(!NI ED ED ED LOKER 90RTER ALR33 90RTER LOViER ALlant SECTim ICLLUS CT Ct ACROSS ACROSS ACROSS ED ED ED ED ED ED (IN) TLK TlK TIM ACROSS f%RALLEL ACROSS PAR.'LLEL (90.!N) (SO.IN) (50.1 0 ...==n-4 AD AE F AG m Al M M AL 2 m sc --.nn TS 21211/4

1. N 2.58 2.19 0.33 4.54
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1. 33 2.19
1. 72 0.75 4.50 5.25 4.54 8.75 5.25 8.75 4.5p 5.25 TS 4:4:l/4
1. 33 2.19 1.72 0.75 4.50 5.25 4.50 9.75 5.15 8.75 4.50 5.25 TS 41415/16 1.16 2.19 1.72 8.75 4.54 5.25 4.13 0.75 5.5 0.75 4.13 5.25 TS 4I4I3/8 1.07 2.19 1.72 0.75 4.50
5. 25 3.75 4.75 5.25 0.75 3.75 5.25 TS 4I411/2 1.00 2.19
1. 72 0.75 4.50 5.25 3.00 0.75 5.25 0.75 3.08 5.25 TS 5I5II/16
1. 44
2. 00 1.13
0. 75 4.54 5.25 4.50 0.75 5.25
0. 75 4.50 5.25 TS SI5II/4
1. 94
2. 00
1. 0 8.75 4.54 5.5 4.50 0.75 5.25 0.75 4.58 5.25 TS 51513/4
1. 04
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1. 0 0.75 4.58 5.25 4.58 8.75
5. 5 0.75 4.58 5.25 TS 5 011/2
1. 44
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0. 75 4.58 5.25 TS 610 3/16 1.00
1. 44 1.%

0.75 4.50 5.25 4.50 0.75 1 25

0. 75 4.54
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1. 8p
1. 84 1.%
0. 75 4.50 5.25 4.54
4. 75 5.5
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4. 54 5.5 4.58 8.75 5.25 8.75 4.5e 5.25 TS 616I!/2 1.00 1.84 1.E
t. 75 4.58 5.25 4.54
0. 75 5.25 0.75 4.50 5.25 TS 81811/4
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5.25 l TS SISII/2 1.00 1.72 1.44

8. 75 4.50 5.25 4.50
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1.41 0.75 4.50 5.25

4. 58
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LCCAL STRESS PA04T(1.5'!3')TM-4 L(MD TAILE 4-13-49 T N $!!E LO@ T M -A L0AD T V P E -8 THIOvfSS (ACTING-Vp) F0RCEON WELD (1N)

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2. 86 17.17 22.98 27.23
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8. 89 4.44 2.%

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18. 61 12.38 13.33 13.33 1.83 2.16 2.34
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13..?J 13.33 2.00 2.36 2.55 2.42 TS 414I3/8
4. 44 2.67
1. 48 8.11 18.61 12.38 13.33 13.33 2.20 2.59 2.81 2.67 TS 41411/2
3. 33 2.50 1.11 Lil 10.61 12.38 13.33 13.33 2.75 3.24 3.51
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3. 33 1.67 1.11 8.11 10.61 1L38 13.33 13.33 1.83 2.16 2.34
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7. 82 1.95 2.39 2.67 2.67 2.67 129. M 28.09 10.67
14. 46 14.48
14. 4 TS 313II/4 3.51 1.43 1.74 1.93
1. 90 1.13 53.33 14.85
7. 71 It. N
11. 25 t e. N TS 4I4!3/16 2.34 1.43 1.74 1.93 1.99 f.93 71.11 12.49 18.28 5.63 7.54 5.63 TS 4:4:1/4 2.34 1.43 1.74 1 01
1. 90 1.93 51 33 9.E 7.71 7.50
10. M
7. M TS 4I415/16 2.55 1.43 1.74 1.93 1.90 1.93 42.67 8.17 6.17 9.38
18. 91
9. 36 TS 4I4!3/8 2.61 1.43 1.74 1.93
1. 90 1.93 35.%

7.49 5.14 11.25 12.se 11.2' TS 4I4II/2 3.51 1.43 1.74 1.93 1.98 1.93 26.67

7. 02 1 85 14.4e 14.40 14.4e TS 3r513/16 2.34 1.43 1.74 1.93 1.98 1.93 71.11 12.49 10.28 4.50 4.69 4.5e TS SI511/4 2.34 1.43 1.74 1.93 1.98 1.93 53.33 9.1
7. 71 L 00 6.25 6.N TS SI513/8 2.34 1,43 1.74 1.93 1.98 1.93 35.56 L 24 5.14 9.00
9. 38
9. N TS 5!511/2 2.34 1.43 1.74 1.93
1. 90 1.93 26.67 4.68 1 85 12.ge 12.5e 12.te TS EIu 3/16
2. 34 1.43
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1. 90 1.93 71.11 12.49 10.28 3.75 3.75 3.75 l

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1. 98 f.93 53.33
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1. 90 1.93 42.67 7.49 L17 L25 6.25 6.25 TS U613/8 2.34 1.43 1.74 1.93 1.14 1.93 35 %

L24 5.14 7.50 7.50

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L24 5.14 5.63 5.63 5.63 75 sit!!/2

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1. 9p 1.93 26.67 4.68 3.85 LM LW 6.K TSittitI5/6 2.34 1.43 1.74
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1. 9F 1.93 E 67 4.68 3.85 4.29 4.29 4.29 p g g.g

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LOC 4. STIESS 84ACXETi!.5'I3') TYPE-A LOC TABLE 413-40 TUBE S!!E I SLL0dAKE Yp IIE1Alf.8) I ALLQd4RI Fl (MIDED CIN(CilCh)] TNICN(SS I ICAL(11 ATE IF LI 04 L2)=Ca.-t 1 (!NI F1 FI' NIN F2 F2' MIN m!N(Fl F2 Fl" Fl N!MFl" alhtFl'+ m (th) Iksi) (ksi) FI,Fl' (F2 MfCH CIN ALSO F2,F2', tFl' 42' ) Fl"'I F2), tFl"I(1 A (p. t

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14.44 14.44 14.44 25.29 0.06 IL 29

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10. 00
14. 44 14.44 14.44 24.44
0. 00 16.29
0. 00 14.44 1.N TS 4I413/16 7.50 563 E63 L 92
18. 84
6. 92 14.42
0. 00 4.00
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5. 92
0. 63 75 4 4:l/4
10. 00 7.50 7.58 12.30 14.44 12.30
21. 90
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9. 38 14.44 14.44 14.44
23. 70 8.N
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14. 4 1.te TS 4I4I3/4 12.00 11.25 11.25 14.44 14.44 14.44 25.65
0. 00 8.N 0.00 14.40
1. et TS 41411/2 14.44 14.49 14.44 14.44 14.44 14.44
28. 00
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5. 06 8.23
5. 06 9.75 0.00 0.00
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14. 40
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9. 00 14.44 14.44 14.40 23.44 0.00 0.00
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1. N TS SI511/2 12.58
12. N 12.80 14.44 14.44 14.44 26.40 0.00
f. N 0.N
14. 4f 1.N TS 61613/16 3.75 3.3 3.75
3. 96 L59 3.96 7.71 0.00
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11. 72 7.83
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0. 00 0.00 4.00 10.99 1.N TS EIGI3/4 7.54 7.54 7.50 14.44
14. 44 14.44 21.90 8.80 8.80 8.N
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7. %
10. M 11.67 12.44 12.44 3.03 4.44 4.74
4. D 4.74 2.41

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4. 00 1.83 9.61 12.55 14.64 15.75 15.75 4.07 4.71
5. 04 4.57
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LOCA. STRESS PRACKEl(2.25'I2.125'Ifyrf-A LOG TAKE 413 4C TtM $1!E LLO4KE Vp tK1A)9.8) 1 ALLOAE F1 (MTDED CONNIC710N)1 UT !'61!P;0'. FZ,:1' THICNESS ICALCl) LATE IF Ll CR L2)*CDL-P 1 (Iki LOM I M F2 F2' RIN MINIFl.F2 Fl" Fl"' MIN (Fl" MINIFl"+ UI U2 U3 UI' U2' (IN) (F2 ETCH CDi ALSO F2,F2',(Fl'42') Fl"'I F2),(Fl"K1 A(P.8 KTA(0.8 KTA(f. 8 (D.fi (b 4 2')==================rrs======= 3 (ksi) (hs I (hs ) ( k i : )============ - -- = A 70 PR BS PT SU SV BW PI BY BZ CA Cl C5

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11. 89
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1 1 LOCA STRESS PRXXET(3.8'I3.25')T1Ti-A LQQ TAP E 413 4D TW S!IE LDC TYM-A L0AD T Y P E -6 THID M SS (ACTING-Vpt F0REEON WELD (lh) se m esservorrswa sa rus ses re mresu rz = =res a ss s essus s a u rs so n ss e rs F A2/te F W3/te 15M60 15M45 l'JWI3e 15MP M1 24M6e 24M45 24M3P for ~rf Fu JU H2 (lk) (ktal (ksil (KIPS /IN)(KIPS /IN)(K!PS/IN)(KIPS /thi(KlM/lN1(K!P5/IN)(KIM/lN)(MIPS s usessesse m e M RaC marses enws rurr===rs asru rs e ese ss==33 : sesseum s es s as s eses amars e s s e s 5 'It A A0 AR AS AT AJ AV AW AI AY A2 BA K _......=...... mmisrarm s,. m m arm.m .ma.,m.m mm e m s omm,,H TS JI311/4 15.79 5.23 23.64 31.49 37.82 48.48 4e 48 7.9e 9.14 9.75 8.M

9. P,
3. 3i

,,,,,,,,,m, TS 41413/16 12.88 L 78 11.26

14. D 16.89 17.95 17.99
4. E 5.62 LN
5. 'A 6.R
3. N TS 4:4:!/4 18.47 5.82

!!.26 14.57 16.89 17.91 17.99 5.26 6.99

6. '4 6.N 6.'.4
3. N TS 4I415/16 9.13
4. 82 13.18 17.16 19.97 21.41 21.41 5.74 6.64
7. F3
6. 'A
7. e,
3. N TS 414!3/8
4. 37 3.35

!$.67 29.54 24.00 21 91 25.91 6.32 7.31

7. 8f 7.29
7. 8f
3. M TS 4I4I1/2 7.85 2.51 23.64 31.48 37.82 48.48
46. 48
7. 98 9.14 9.75 8.M 9.75
3. M I

TS SI513/16 12.88 6.78 !!.26 14.57 16.89 17.99 17.99 4.E 5.62 L Pe 5.54

6. M
3. N TS 515I1/4 9.66
5. 82

!!.26 14.57 IL 89 17.99 17.99 4.E 5.62 L ee

5. 's 6.M
3. N T5 51'13/8 L 44 3.35 11.26 14.57 16.49 17.99 17.99
4. E 5.62 L fe 5.54 6.M
3. N TS !!511/2 5.23 2.51
11. 26 14.57 16.89 17.99 17.99 5.26 6.99 L5e LN
6. 55 3.2e TS 61613/16 12.88
6. 78

!!.26 14.57 IL 89

17. M 17.99
4. E 5.62
6. M
5. 54 6N 3.29 TS 61611/4 9.66 5.82 11.26 14.57 IL 89 17.99 17.99
4. E 5.62 L 80
5. 54
6. N
3. 29 TS 61615/16 7.73
4. R2

!!.26 14.57 16.89 17.99 17.99

4. E 5.62 L 80 5.54 6.N 3.29 TS 616!3/8 L 44 3.35 11.26 14.57 16.89 17.99 17.99 4.E 5.R LN 5.54 6.N
3. N TS GI611/2 4.83 2.51 11.26 14.57 16.89 17.99 17.99
4. E '

5.62 L 89

5. 'A
6. N
3. N TS SI8!1/4 9.66 5.82 11.26 14.57 16.83 17.99 17.99
4. E 5.R LN 5.54
6. P2
3. N TS 818I3/4 6.44 3.35

!!.26 14.57 16.89 17.99 17.99

4. 86 5.62 6.M
5. 'A 6.P2
3. N TS 41811/2
4. 83 2.51 11.26 14.57 16.89 17.99 17,99 4.25 t.62
s. M
5. 'A 6.M
3. N ISitI!8I3/8
6. 44
3. 3'

!!.26 14.57 16.89 17.99

17. 93
4. E 5.62 6 to
5. !4 6.tv 3.N TS19I18t!/2
4. 43 2.51
11. 26 14.57 16.49 17.99 17.99 4.E4 4 62 6.M
5. 54 6.H
3. 2f T51911815/8 3.E
2. 8) 11.26 14.57 16.99 17.99 17.99 4.86 5.62 6.80
5. 54 6.N
3. 29 1512112 0 /8 L44 3.35

!!.26 14.57 !! 89 17.99 17.99 4.E 5.62 L 88 5.54 6.N

3. N TS!211211/2 4.83 2.51 11.?6 14.57

!6.89 17.99 17.M 4.E 5.62 6.M 5.54

6. N
3. N 7514I141!/2 4.13 2.51 11.26 14.57 16.49 17.99 17.99 4.E
5. 62 LN
5. 54 6.M
3. 29 i

I \\ r.h?.cdcrio L.H.b. ' I 3 I. bf$.... -.. 3.2 'p. u.. l l r t

1.0 CAL STRESS NOET13.f *I3.2i'1 TYPE.4 Ltm TAKE 4-13-4D P TM SE LDAD TYM-P ALLOW 4F.E Yp (BETA (f.8) 3 ggg: ACTING-Vp

]N) ememnenessiemessiersmme 36Fd 45 36FWP3f 36F@f FWI.3 FVP!/tc FWS2/te FW93/tc Ypel V A2 RIN F1 Fl' F!*.

f IIN) (MIM/]N' (KIPS /IN: (KIM/IM (KIPS /IN) (ksi) (ksi) (ksi) (ktil (ktil VoA!/VpA2 (6tn fest) F1.Fl' arrse mes esen e s reresservernm en ee rs erremerem (( s gL g hg s,,sesswasuss==.-.~...... A fD DE If BG PH Il E K M k K' M r m arrer

t. g o me sswesen raseress a-......... -. re==rrass............ -........ e=BJ

===ss.. ... _............erves-TS31311/4 4.11 4.55

4. 5e 4.55 161.91 39.01 18.29 11.25 11.25 11.25

!!.25 !!.M !!.it . =rerrerrsennsre TS 41413/16

3. 88 4.29 4.23 4.29 9L94 32.81 22.9f 7.50 9.23 7.5e 9.23
7. W
7. M TS 4:4s)/4
3. 88 4.29 4.23 4.29 71.%

26.01 17.17 II.N 10.0f it.8e If. N le.N lt. N TS 4I415/16

3. 88 4.29 4.23 4.23 68.51 22.78 13.74 14.91 If.91 It.91 19.91 1t. 9; It.11 TS 4I413/8 1 88 4.29 4.23 4.29 69.88 N. 88 11,45
12. 00
12. M 12.00 12.02
12. N
12. N TS 4I4I1/2 3.88 4.29 4,23 4.29 St. E 19.54 8.59 14.49 14.4f 14.4f 14.42 14.4f 14 tf TS 51513/16 3.88.

4.29 4.23 4.29 %. 94 32.91 22.98 4.69 4.% 4.69 4.% 4.69 4.69 TS 515Il/4 3.88 4.29 4.23 4.29

71. %

24.41 17.17 6.25 6.51 6.25 6.59 1.25

6. 2' TS SI513/8 3.88 4.29 4.23 4.29 47.97
16. M 11.45 9.38 9.69 9.38 9.89 9.38
9. 34 TS 51511/2
3. 86 4.29 4.23 4.29 35.98
13. N 8.59 12.M
12. 2 12.M
12. M 12.T 12.M TS 61613/16
3. 88 4.29 4.23 4.29 9L94 32.01 22.98 3.75 3.78 3.75 3.76 3.75
3. E TS 61611/4 3.M 4.M 4.23 4 29 71.%

24.01 17.17 5.00 E93 5.8f 5.03 5.N

5. M TS 61615/16
3. 88 4.29 4.23 4 29 57.57 19.29 13.74 6.25 6.29 6.25 6.29 6.25 6.25 TS 61613/8
3. 88 4.29 4.23
4. ??

47.97 16.M 11.45

7. 2 7.55 7.W 7.!5
7. M
7. M TS 61611/2 3.88 4.29 4.23 4.29 35.98 12.fe L59
19. 98 18.07 f f. M If. f 7 I f. f f it. N TS 81811/4 3.88 4.29 4.23 4.29 71.%

F4.01 17.17 3.75 3.75 3.75 3.75

3. 7'.

3.75 TS 81813/4 3.88 4.29 4.23 4.29 47.97

16. M

!!.45 5.63 5.63 L63 163

5. R L63 TS 81431/2
3. 88 4.29 4.23 4.29 3L 98
12. M 8.59 -

7.58 7.54 7.W 7.5f 7.W 7.M 7510110!3/8 3.88 4.29 4.23 4.29 47.97

16. M 11.45 4.50 4.M 4.54 4.5e 4.5f
4. 9 i

7510!!t!!/2

3. 48 4.29 4.23 4.29 E 98
12. N L59 6.M
6. N 6.M
6. M 6N
6. N I

TSittil15/8

3. 88 4.29 4.23 4.25 2L 78 9.6e 6.87 7.50
7. 5d 7.9 7,5e 7.9
7. M TS1211213/8
3. 88 4.29 4.23 4.29 47.97 16.Se

!!.45 3.75 3.75

3. 75
3. 75 32 3 73 TS12Il211/2
3. 88 4.29 4.23 4.29 E 98
12. M 8.59
5. M 5.M
5. M LH LR
5. N

~ TS1411411/2 3.88 4.29 4.23 4.29 EM

12. N 8.59 4.29 4.29 4.29 4.29 4 ??
4. 21 E. t. :T~~

q i SDQ bh b me.BMi-j m m a-u p

l i LutA $1RISS BmEll3.P*I3.25')TYTI-f LO@ T4.E 4-13-4D TUIC SlIE LLOMK! Yp (KTA)t.8) 1 AJ0WAF F1 (MTCTC CINECTION)] LU I. !!" l'A Ft'". W TNICATSS 1%.CtLME IF L1 OE L2)*CD.-6 1 (Ili) Lor W F2 F2' MIA M!N(F1,F2 Fl" Fl"' M! hit" MINtFl"+ L'l U2 L'3 Li' (l'd) (F2 PAICat CCN ALFO F2,F2' ,(Fl'+F2') Fll F2),(Fl'MTA(f.0 P!TA(0.8 KTI(f.B ti. 6) (F. 6, esserversen (kst) (kst) (ksg) (kgg)=== rursrers m m szsevesse +f2') sermersserrerwarmsmaururarissennezums s A BC PR FS F1 FU PV I6' 0! PV PZ CA CF C: .w3........... es er==== =3................- = senessrea r==........... res ess eri rrezrrr rrr : ::::: TS 323I1/4 14.40 14.49 14.49 25.65 35.16 32.49 32.40

46. 8P 0.72 9.72
1. M
t. 52
f. 51 TS 41413/16 14.34 14.4 14.34 21.90
0. N
0. 00 0.00 14.34
0. 'A 0.58
1. M
t. 65
9. '4 15 4:4:!/4 14.49 14.46 14.49 24.40
0. P8 0.N 4.N 14.40 f.%

0.56

1. N
t. 9i
9. 9i TS 4r4I5/16 14.49 14.44 14.40 25.31
f. N 0.M
8. N
14. 44 1.N

!.N

1. N 1.N 1N TS 41413/8
14. 4
14. 4 14.4 26.4 0.M
t. 00
0. N
14. 46
1. M 1.N 1.N
1. N

!. N TS 43411/2 14.44 14.44 l'.40 28.8f

0. N 0N
0. 0f 14.40
1. 0$

1.N

1. M 1.N 1.N l

TS 515I3/16 IP. 44 10.97 10.44 15.39

6. M
8. N
f. 00 10.44
p. 34 0.36
f. 7e f.3:
0. 3i TS 515t1/4 14.4 14.49
14. 4 29.65
0. 00 0.00 0.N
14. 40 0.68 8.65 1.M 6.63
e. 6!

TS 51513/8 14.44

14. 4f 14.4f 23.78
f. M 0.N 0.00 14.40 1.N 1.te
1. N 1N
1. 62 TS 51511/2 14.49 14.44 14.40 26.99
8. te 0.N
0. N 14.44 1.N
1. M
1. M
1. M
1. t?

TS 61i13/16 8.13

6. 57 8.13

!!.9)

9. M 0.N 0.M 8.13
f. 27 0.29
9. '4 f 27 P. 25 TS 61611/4 14.44
14. 40 14.49 19.49
0. se
t. Se 0.M
14. 4 0.48 8.52 1.N t.4!
9. '.2 TS 616I5/16 14.40
14. 4 14.4 29.65 P.N
f. Pe
8. N 14.40
0. 75 f.81
1. N
t. 7!
f. 5:

TS 61613/8

14. 4 14.44 14.44 21.9e
0. 8e
0. N
0. te
14. 4 1.M

!.Ie 1N

1. M 1N TS 61611/2 14.48 14.4
14. 4P 24.4f
f. R 0.N
0. 0P 14.44
1. N 1.N
1. N 1.N

!.N TS 4I811/4 9.81 10.47 9.81 13.64

8. N
0. N 0.00 9.83
f. 36 0.31 0.75
f. 36
f. T.

TS 81613/8 14.40 14.46 14.48 2f. 03 0.N

0. M
0. N
14. 4
f. 81 B. 87 1.M
t. 61
f. D TS 81811/2 14.40
14. 44 14.64
21. W
0. N
0. N
0. N
14. 44 1.00 1.N 1.H
1. N 1.N T51611913/8
14. 4
14. 44 14.4f 18.9f
0. 00 0.00 0.f0 14.49
0. 64
f. 7f
1. N f.64 f.??

TS10titti/2 14.44 14.40 14.40

20. 4f
0. N
f. 0f
0. f9 14.40 1.N
1. N 1.N

!.D 1.N TSil1915/8 14.40 14.44 14.40 21.9e f.N 0N 4.te 14.46

1. N 1.H 1.N 3.f?
1. N TS12112I3/8 13.60 14.28 13.40 17.15 0.N
0. N
0. M 13.44 0.54 0.58 1.M t.!4 f.

1512I12I1/2 14.44

14. 4 14.40 19.4#
f. M
0. N 9.N 14.49 P. %
1. N 1.N t.?!

!.N TS14Il411/2 14.44

14. 44 14.40 18.61 0.N
f. 00 0.N 14.49 0.82 8.81 1.N
t. 52
f. 81 7 - ~

b d,N k.p2DJ. N .... 8 $ .I -..Akl g)y}g[ =.94. a.bb p u

LOCA. STRESS PM:xE113.f*I3.25')1M-A LOC TABLE 413-4D TUPi SilE OW:P.E Yp/A"TING % s FI ML U'S FOR T M -A L W THIchtSS -A (9W.13131/4;1re.E 413.4D) (IM ~~~ g3+ y}it (pii g3.s y}is' U2 U3 tlk) (P). 8) (MTA(f.8 ard PI)r.1) er seswo mewus==== s rs s eu rsass re essassesss s enes e sse _....... reews o me n su m ma A CD E CF CS Di Cl CJ . =. =.. TS 313tl/4 1.N

1. N
1. N 1.N
f. 72
0. 72 1.00 TS 414I3/16 1.06 0.66
0. 58 1.M
0. 54
0. '.e

!.N TS 4:4:1/4

1. N 0.%

1.N !.N e.%

0. %

1.te TS 4I4I5/16 1.N 1.ge

1. 06 1.M

!.N

1. N 1.N TS 41413/8
1. N 1.N
1. N 1.00
1. N 1.M

!. 0F TS 414I1/2 1.N

1. 00 1.N 1.N 1.06
1. N 1.00 TS 5I513/16
8. 70
8. 35 8.M 0.70
8. 34
8. 36 8.70 TS 5I511/4 1.N
0. 63 0.65
1. ft
0. 60 0.65 1.0F TS 5!513/8 1.te 1.N 1.N 1.fe 1.00
1. N 1.00 TS 52511/2 1.0e 1.te
1. Be
1. 0F 1.00 1.00
1. 00 TS 61613/16 0.%

0.27 0.29 0.56 0.27 0.29 0.56 TS 6I611/4

1. 00 0.48 0.52
1. 00
0. 48 0.52 1.N TS 61615/16 1.00 0.75 0.01 1.M 0.75 0.01 1.Ge TS 61613/8
1. 0F 1.N
1. 00 1.00 1.Be 1.fe
1. 00 T5 GI611/2 1.C0 1.N 1.00 1.N
1. 00 1.N 1.N TS 018I!/4 0.75
0. 36 0.39
0. 75
0. M 0.39 0.75 TS 81813/8
1. 0F 8.81 0.87
1. 06 0.81 0.87 1.fr TS 818I1/2
1. N 1.N
1. 00
1. 0F

!.N 1.N

3. Be T510110I3/8 1.00
0. 64 0.78
1. 00
0. 64 0.70 1.00 TS10!!III/2
1. N-1.C4

!. 00 1.N !. 00

1. ft 1.00 T51011025/8
1. 00 1.00 1.N 1.N
1. N

!. 00

1. 00 TS12Il213/8
1. 0F
0. 54 8.58 1.00
0. 54 0.58 1.N TS12Il211/2
1. 00
0. %

1.N

1. N
0. %
1. ft 1.00 TS14I1411/2 1.N 8.82 0.83
1. N 0.82 0.89
1. 00 i

4. x de .~. i5 .~/A 'l S)7IA v.: A2 e a P l L

LCCAL STRESS PRA>fi(6.0'I7.0')1tTT-4 LORD TABLE 413-4E UTill!ATION FACT 0A(ALLGAPLE Yp/ ACTING Yp) FINAL U'S FOR TWE-A LOAD TUM S!!E LOC TYM -A (Bh i 6'I7'liAK E 4-13.4El THlCNESS tlM UI W U3 U1' T' U3' U1" U2" U3" U1'" W'" U3"' M'TA(f. 8 K1 A (P. 8 f(TA(0. 0 (P). 8) (9).8) (P).8) (0ETAff.8 se illn!) (lo S_ WWsar33rsrvBTerptst3* PY el CA CB CC CD E CS Di Cl CJ O' O.50 0.50 1N

0. 85
0. 85
1. 00 0.58 8.67
1. 00 0.50
0. 50 1.tr TS 61613/16 0.67 8.67 1.06 1.00 1.N
1. 00 0.81
8. 94 1.00 0.67 8.67
1. M 15 61611/4
0. M 0M

!.N

1. 00 1.00 1.M
1. 00 1.00
1. 00 0M 0.M 1.00 TS 61615/16
1. 8P
1. 00
1. N 1.N 1.00 1.80
1. M 1.00 1.00
1. M 1.N

!. 00 15 616I3/4

1. 00
1. 99 1.N
1. N 1.M
1. 00
1. 00 1.00 1.N 1.00 1.00
1. 00 TS 61611/2 9.45 8.52 0.97
8. 77 0.52 0.97
0. 77 0.52 0.97 0.45 0.52 0.97 TS 818:l/4
1. 00 1.00 1.N
1. M

.l. N

1. 00
1. 00
1. 00
1. 00
1. 00 1.00 1.00 TS 81613/8 1.00 1.00 1.N 1.00
1. 00 1.00 1.M
1. N 1.N
1. 00 1.00 1.N TS 81811/2
8. 63 8.73
1. N
t. 72 8.73
1. N
8. 72 0.73 1.80
8. A3 4.73
1. 00 T51011013/8 1.00
1. 00 1.N

!. 00

1. 00 1.00 1.00 1.N
1. 00 1.00 1.00 1.N TS19110!!/2
1. 00
1. 00 1.00 1.N
1. 00 1.00 1.00 1.00
1. 00
1. N 1.N
1. M TS!tillI5/8 8.50 9.59 1.M 0.52 0.59
1. 00
0. 2 0.59
1. N 0.50 0.59
1. 00 T512I1213/4 8.19 1.95
1. 06
8. 92
1. N
1. 80
0. 92 1.N 1.00 0.90 1.00 1.00 TS12It2I1/2 8.77 4.90 1.00
9. 77
0. 90 1.00 0.77
0. 90 1.00
8. 77
0. 90
1. 00 TS1411411/2 l

5;l e.: IQ A . T..I. 60 (' A d l ,b -....,... sN. F7,..,1

i. M ' _._. 5hin-!

c. 4J.. /,g g' ,,-,we- ,-w v-- ~w "'"Y ' * ' ~ * '" '

LOCA. STRESS PRACXET(L P'I7.f'litT(-A LOC TfRE 4-13-4E TWE SIZE TUlf $17E I/D THK I.DACKET S!!E W: W2 W3 W4 W'., W6 F Elfra FS M ? F5:%? f.'iw Th:CwISS Th! M ESS Fm F.ic ap (!N) (IM (Lil (Lil P (lN) (IM (IM (!NI (!N) (K!F) ( n r.) (VIF) ( !I s (I n,.* :', ..erv eres==.rrassaws s=strarsanwass nerveres se-russerwursta rsan33 rrrunterres.ruuss ara rsersra ama rmes a A A B C D F. F S H I J K L M N O 5- _m.nw.=rren =w - =r===rs ,=.. ww.n un ...rranens. TS 61613/16 TS 61613/16 6.M t.188 6. pee 7.9N 5.25e 7.N7 26.N7 5.25e 6.e# 24.000 33.5 4. M 33.5e M. fi

67. N 15 6I611/4 TS 61611/4
6. M 8.25e 6.8N 7. Nf 5. NP 7. pee Effe 5.Ne LNP 24.Nf
33. 5
4. M
13. M M. fi 6". K TS 6161'/16 TS 61615/16 L N 9.313 6.PN 7.9N 4.759 7.0N 26. fed 4.75e 6.9N 24. M 33.5
4. N 33.59 n.f:

67.t? TS 61613/8 TS 61613/8 L M 8.375 6.Mt 7.Ne 4.5ee 7.8N &SN 4.5N 6.000 24.Ne

33. 5
4. M 33.50 25.91
67. N TS LI611/2 TS 616tt/2
6. N 8. 5N 6. 9N 7. 9N 4. M 7.Nf E PN 4.00f 6. M 24.000 33.5 4.M 33.M ti.fi
67. N TS 8I8I1/4 TS 81811/4 4.M 8.254 6.fN 7.ter 6. tee 7.#7 & #7 7. W LWe 26.M 33.5 4.N 33.M
5. fi
67. N TS 81813/8 TS 8I813/8
8. N 0..T75 6. tei 7. 8e9 6. 9N 7.PN 26.Ne f.5N 6.W26.We 33.5 4.00
33. M 21.91

( 7. M TS 81811/2 TS 818I1/2

4. M 0. 5M 6. NP 7. ON 6. fee 7.Ne 26.Se? 6.fre 6.0Pt 26.000 33.5
4. M 33.'.e 21.f:
67. N TSitt!#13/8 TSIFIleI3/8 le. M t.375 6. R 7.8N 6. N7 7.tet 26.Ne 7.Ne 6. Set 26.efe 33.5 4.fe 33.5e M. fi
67. M 151PI1011/2 TSif tle!!/210.M f.5N 6.

7.N, 6..M 7.,* 26. f.e 7..N 6.

26. N.

33.5 4.M 33.5e n.fi 67.N TsifIlfl5/8 TSitIlt!'/819.9e f.625 6.0fe 7.Ne 6.fe? 7.tN 26.800 7. tee LDN 26.8N 33.5 4. M 33.M M. l!

67. M TS12I12I3/8 TS12Il213/812.# 8.375 6.fN 7. Set 6. lef 7.000 26.960 7.PN G.9N 26.000 33.5 4.fe 11.54 M. 91
67. W

~ TS!!Il2II/2 751211211/212.M 8.5N 6.PN 7.9N 6.Ne 7.Ni 26.N7 7.fM 6.M 26.tet 33.5 4.N 33.'.4 M.t: 67.N 7514I1411/2 TS1411411/214.M l.'.Ae LMP 7.900 E.fet

7. Pee 26.9N 7. Pee 6.000 26 Me 33.5 4.P2
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1. 33 TS 81813/8 23.69 94.75 16.75 !!6. E 134.se
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THICkESS SOFFER LCh3E8 SFCETER - (IN' CD WELD RD LOGER SrOTER ALLR3.hD SKRTER LOGER ALL R'A SfCTICA CJ.' ' Cr*.6 i

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$4.M 7.44 ( T51211211/2 1.83 1.98 1.88

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19. 86 12.57 14.23 14.*1 14.51 4.89
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!!.t3 17.19 17.82 17.82

5. 44 5.82 5.83 4.75 5.61
2. W 15 61613/8 9.93 3.72 13.15 16.67
19. P5 19.85 19.85
5. 71 6.14 6.16
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6.16 2.64 TS 61611/2 8.37 2.79 16.19 29.73 23.85 25.13 25.13 6.62 6.91 6.93 5.58 6.93 2.62 TS 818I1/4 9.57 5.15 8.M 9.87 11.07 !!.17 11.17 3.67 3.95 3% 3.19

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LOCAL STRESS BRACVT(6.f*I7.f *)TM A LOAD TAP'.E 413-4E TUK $!!! LLM!tt Yp (Kf Alf.8) I ALLOMPLE F1 (MICED COST:110 Nil L"1. !m !'.A FV.T A.. THICh4SS JCA.Cd. ATE IF L104 L2)=CDA 1 LE TG.' g;y F2 F2' MIN MIN (Fl.F2 F1" FI MIN (F1" MIN (F1"+ U1 L2 U3 U:' Ci' (IW1 (F2 MTCH CDN ALSO F2,F2', (F l' +F2' l Fl"'I F2),(Fl"MTA(0.8 MTA(f.8 PETAff.8 (0.6) (b.D (ksil (ksil (ksi) ( k s a l===== rr==== =rr---- -- - -- * +F2' l=== r=======r==rr=rm====n e n= = m e re s =rs a n

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8. N 8.5N 7.pN 9. M 6. N ? 9. M 32. M7 6. Ne 7. PN 30. DN $4.6 5.25 54.6f 43.82 IM.63 2. 76 751f11f13/8 If. N 9.375 7. M 9.8te 7. M 9.f M 32. Ne 8.5 N 7. M 32.9N 5t.6 5.25 M.M 43.82 1 2.83 E. 76 75191911/2 If,N f.5N 7.Nd 9.807 7. fee 9. N t 32. Mi 8. M i 7.DN 32.fW $4.6 5.25 5t.M 43.82 12.63 E.7E T519:1915'6 19.fe 8.625 7.9N 9. Ne 7.99f 9.pfe 32.0ff 7. 5N 7.000 32.884 5f.6 5.25
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a LOC 4. STRi$5 PROET(7.p'19.9*lTYli-Q LN' TAF.E 4 !3-4r T W $1!E OR G71' QR' Swl S';? SW3 S4 SW5 %E 21.5 72.4 22,6 THIDK!S SORTER LDiU STA1ER (IM WE.lD EC WRD LGGR SHp Es ALLRDLAD SHORTER LGGR ALLROLAS SECilGi G.LL'i (r LIM KCSS ACC5$ ACCSS Wi;D WE'C ED WE.0 CD CD (IM TE TE TUii M OSS PA R LEL ACOM PGRLEL 50 (53. !M C. !N n r.mmemw. .nn..._....,m.m nm mmen.nmann.mu mm an nm.m...(n u. ! M n m. m m n n u.., A AD E F R M Al AJ AK At M 4 m nm.e -- - . -..n.. _........... n nm......_. _........ n n n n. n......n.. ., n. TS 81f11/4 2.29 2.5e 2.34 16.13 63.00 79.13 49.0P 16.33 72.33 16.33

49. M 72.D TS 81813/8
1. 64
2. 57 2.34
14. N 63.pe 79.33 4! 50 16.33 72.33
14. M
45. 9 72.33 TS 81611/2
1. 33 2.50 2.34
12. M
63. f9 79.33
42. te 16.33 72.33
12. N
42. N
72. M TS!PilPI3/8 1.%

2.34 2.13 16.33 U. M 79.33 D. 58 IL13 79.33 IL 33 59.5e 75.33 TSil11f11/2 1.56 2, 34 2.13 16.33 63.9e 79.33 56.9e IL 33 79.33 16.33 '4. M 79.33 T!!sritI5/6

1. 33 2.38 2.13 16.33
63. 00 79.33 52.2 16.33 79.33 JL 33 2.9 79.33 TS1211213/C
1. 33 2.19 1.98 16.33 U. tf 79.33
63. W 16.33 79.33 IL 33 63.te 79.33 TS1211211/2 1.33 2.19 1.98
16. 33
63. 0P 79.33 0. 00 16.33 79.33 16.33 63.89 75.33 T514I101/2
1. P9
2. 85 1.84 IL 33 63.8e 79.33 U.te 1L33 79.33 16.33
63. N
79. 33

! 654 6,. 9. fg. _ ' td 2..{. 4 .5'p_/_M..q OC. - i - ~ ' JWC Shl13 - rt. d 5.6 cr M f. t i I 1 l l i i _ - ~ _ _ -

LOCA STTdSS PUC tT(7 e 19.e-) Tnt.A LW Tre.E 413 4r idE $1?i DCOS*5 (Sth3e FCSM ncSe ETAl f(TA.! ETA! ETQ 64 w11 Qf Vc TMitx'ESS 545 Fv3e M34 lee r1 g r] (p;;p, :,..9 (lu p f, g, 4,g y COM E (thi (I M IF) (KIP) (!%-MIP) (INelf) ggg;,

==m m m m,3,=m .. u m... ms m,3 m n,==u m,, m nm un n,m,m mmm.....,,,m

m....,,,,,,,

A R S T U V W I y 2 m A cr. ............_......n,.. = m or m._ a.. m. u,,o n, m u,,n,,,m,,,,,,,,,,,,,,,,,,,,,I. TS 81811/4 167.84

25. 30 2W.E 265.65 0.88 0.88 1.13 8,88 16.99
1. W 3.75
2. 23 TS 8I813/8 187. fA 2* 30 23e.% 265.65 0.81 4.81 1.13 e.88 19.67
1. N 5.63 i.64 TS 81811/2 187.84 25.30 230. E 265.65 0.5 0.75 1.13 e.88 8.H 1.w
7. *A 1.21 TSlf!!Pf3/8 187.84 25.30 23F. M 265.65 9.70
8. 85 0.9e 0.78 13.33 1.96 4.5e 1.19 TS!PI!ftl/2 187.84 25.3r 23e. M 265.65 9.70
8. 8#

0.90 0.70 18.80

1. 00 6.pe, 1.19 TSIFIlf!!/8 187.84 25.38 23e. M 265.65
f. 79
8. 75
8. 99 9.76
8. M 1.M 7.Se 1.19 TS!!Il213/8 187.84 25.39 23e.E 265.65 0.58
0. 75
0. 75
0. 58 16.00 1.se 3.75
1. t2 TS12Il211/2 187.64 25.38 238.M 265.65 8.58
0. 75 8.E 0.58
12. M 1N
5. N 1.93 1514114I1/2 187.84
25. 39 230.E 265.65 0.50
0. 64 0.64 0.58 14.8e I.W 4.29 1.N r

O \\ 6 -Qb[ Q f.-(T70 Y.. c

~.

s - P " 'i ... T . WC "~ ~ S/7//P, PA3; C O' [b p l l l

Lu(A STRESS 9%DIT(7.P'I9.P')TYM A LOC TAAE 413-4F TV K SilE LOC TYM-A L0AD T Y P E -6 s Tw!CKNES? (ACTING-v;) F0RCEDN WfLD (lN) wwwmewsersese nserstsen ses ssu res seres s ess ess..... -.......s==.....-. _ _ ..wesessamure n nere FWA!/te FA?/te FM3/te l' d68 l'J445 l'J43e l'/WM FVP! 24FWIG 2 WWF45 24F 4 37 26F4? J (1M Iksil (kso (ksil (k!ss/INHKIPS/INHMlis/INHkirs/IN)(K!PS/INHk!PS/IN)(KliS/IM (K]fG/IM Ull* *!O .m - 11 ALL R0th*. mn====a ru n a n==== men === = = n e= rr==== s a n n e n== u s e n A AP AD AR AS A7 AU AV AW AI AY Al M ...-.........-.._..-.................... mum- ........ m m - - n.o.n,u TS 41811/4

14. 66 14.46
6. 75

!!.26 14.85 15.89 16.26 IL 26 5.84 6.39 6.5e 5.42 TS 81813/8 1 9. 34 18.38 4.5e 12, 88 16.P9 18.28 18.86 IL 86 L 29 L 88

7. h?

' 64 TS 81811/2 8.43 8.43 3.37 14.72 18.64 21.28 22.14 22.14

6. 81 7.45 7.59 6 33 TSittl813/8
9. 64 7.94 4.22 11.26
14. E 15.89 16.26 IL P6 4.81
5. 2o
5. 3*
4..'6 7519118!!/2 7.23 L 33 3.16

!!.26 14.E 15.89 16.26 16.26

5. !!

5.59 5.69

4. 7*

TS1811815/8 5.78

5. 48 2.53 11.26 14.8e 15.89 16.26 IL 26 5.45
5. %

L e7 5.E T51211213/8 9.64 7.58 4.22 11.26 14.P6 15.89 16.26 16.26 4.54 4.97

5. E 4.22 TS!!!!!!!/2 7.23 5.62 3.16

!!.26 14.86 15.89 IL 26 16.26 4.54 4.97 5.M

4. H TS14Il4II/2 7.23 5.62 3.16 11.26 14.86 15.89 IL 26 16.26 4.54 4.97 5.M 4.22 A

a 7 y a i"ht" . sin-! It:0 g.ce !/;? I / <2 p l l l -~-- ,-..,-..n-..- , - - - + - -,

) 1 LOCA STRESS P%"OTT(7.r*19.p*)Tyrf-A L(g0 TG' E 413 4r ft M S!!E LO@ TVTT B ALLMiLE D (Kn f.6-THI:xNESS Kilks-vp-(th)

==================m=======

W12 364cLP 36Trc45 ' 36r.'P30 36h?P F' T3 Frel/te Wr2/tc W13/tc Wil VW Pl% m (lo (x!r$ '!N) (k!PS/l N) (M !I$/]N) (K!f$/l%) (klPS/!h) (KIPS /IN) (htti (ktil (ktil (htd (ktu VtM./V W a ri s m a mm.m==3 .........== = m e me=,.m .. ]) AtR:pc nnemnenamnmie. A BP BC BD BE BF M D( II Ej BV BL 1* .n m. ,r n -=

==.-a r m .. - me==,.-i -mn m.. -..... m mm m u s. TS 8I811/4 6.5e 3.3r 3.79

4. 82 3.67 4.82
65. M 26.01 16.18 8.57 6.57 6.57 15 818I3/8 7.et
3. 30 3.79 4.82
3. 67 4.P2 50.38 h 67 18.73 9.23 9.23 9.23 TS 81811/2 7.59
3. 30 3.79
4. 42 3.67 4.82 44.26 15.17 a.95 If.et IJ. R le.N TS1911913/8 5.35
3. M 3.49 3.69 3.5 3.61 4 3. 37 14.20
9. D L36 8.N L 36 T51911011/2
5. 6'i 3.64 3.49 3.69 LE 3.69 32.53 11.38
  • 30 7.14 9.38 7.14 TSlfIlf!5/8 6.87
3. H 3.49 3.69 3.E 3.69
26. 92 9.71 5.*

L93

19. M 8.93 7S1211213/8
5. 86
3. f 4 3.49 3.69 3.E 3.69 43.37 13.49 9.64 3.E 5.00 3.E TS1211211/2
5. 06
3. M 3.49 3.69 3.E 3.69 32.53
18. !!

7.38 5.14 6.67 5.14 TS1411411/2 3.E

3. H 3.49 3.69 3.E 3.69 32.53 10 !!

7.38 4.29 4.67

4. P9 e

s t i t . c.. . a i.. !b.C2 k_,'.bi. I. v..-)(%:, u t.. :.si,lin i N CF bb Ft.GE p r 1 1 s

t i i ,( LOCAL STRESS NWOITO.p*19.8')ffF(-4 LORD TAPLE 413 4F TLE SIZE I 4.LWARE Vp (pef 4:e.8) ! A.LO4KE F1 (MTOC CDNIC'ICr..! THIDMSS 1 1CA.CULAff IF LI OR L2)= COL B (161 F1 F1' MIN F2 F2' MIN MIN (r),F2 Flo FlH ' MINIFl" MIN (f!"* L1 (!N) (ksil (kst) F1.F1' (F2 MTDi CON A.90 F2,F2', (Fl' 42' ) Fl"') F21,(Fl'EI'Uf.6 .s s=-r===== =

= = =

(ksi) (ksi) (ksal (ksi) (k si) emes====rs a r== =rs s e rrs= rs 4 2') ressimarv A DN 30 BP 90 58 PS 97 P; DV 16i 61 6, ..__.._.m.n nnmem.m n m.nsms.m e n nnaeammmune,. TS 81811/4 8.57 8.57 8.57 14.49 14.40 14.49 22.97 0.M 7',. 6e 8.07 14.42

f. ' i 15 81813/3 L 2.3 9.23 9.23 14.40 14.49
14. 4 23.63 0.N

!!3.49 0.00 14.4e f.63 TS 81811/2

19..
10. N
10. W t o. tt
14. 44 14.40 24.48 0.N 151.20
9. M 14.4e
1. N TSittitI3/t
8. 62 5.%

5.X 14.44 24.40 14.40 19.76

0. M
8. M 0M
14. 4f
f. '.4 YS1911011/2 9.38 7.14 7.14
14. 4 14.4#

14.49 21.54

0. N
3. N e.te 14.4e
0. 9) 7319I18I5/8
18. tr
8. 9J S.93
14. 4 14.49 14.49 23.33 6.N
0. M
8. N 14.49
1. N m,u2m.

5.. 3.. 3.a

14.... i 4. 4.

i 4. 4 28.26 i4.4, . 4, m2u2m2 6.n 3.i4

5. it i4. 4 i4. 4 i 4. 4.

i9. 54 i4.;. .. n 151411411/2 4.67 4.29 4.29 14.44 14.68 14.44 18.69 8.N 8.M 8.N l 4. 47

f. '1

( e. 9 4 . s e.. O g$ip.'d-f707o- -.. - - -. A 0. b. =g ...t. .u j g.,g e f% /.A p 8 e f ~.,.-

' 4. \\ ' ' 3' s s-i V . s, g g' \\a, \\. 4 .) LN151 CSS SNChil(7.p*19.p ;ty pfig ;g igptg 4,33,4p s z W 512E UTILllATION FA:70%L0 walt.E Yp/A: TIT vpl FINA. It'$ FOR TWi-4 L0c: N. MSS l0AI TYli -A tila j QWT 719' TAFLE 413.4T) T U3 UI' . t2' U3' 01 ' U2" U3" Un'" 12" ' C'" 'P).81.,(Is.8f (Kfa't.8 at4 Illnl) (Ih) EfG(f.8 KTC(P.8 (B).81 i avere seers rusas==.3r::erassesssan=3einers a ru ss anns a ses.rer==s ee rs axes s. ram a.s sars e res a as A 92 CA D CC CD E CF 04 C1 CJ j _ _.. _ r . _ e..., _ .. r..l'G .r . rs. TS 11111/4 8.59

1. N 0.59 1.0f
1. Of 8.59
4. T6
1. M 1.53 0.53 1.N TS 818 9,8 8.89
1. le 6.89

!. N

1. N
0. %

1.Se

1. M
9. 8) 9.83
1. P4 TS 818II/2
1. If
1. N 1.N
1. N 1.N

.:. N 1.N 1.M 1.99

1. N
1. tt T5191191.*/8 8.67
1. M L 92 0.67 1.N 0.T A 71 f.N
p. 56 0.67
1. N l'ill.';9G.'? -

1.M

1. M LN
1. 99
1. 9F l.00 f.N 1.M
t. 93
1. N
1. tr' TSitt1M'./8
1. M
1. M 1.00 1.N 1.19
1. N

!. 0P 1.w 'N 1.00

1. N TS124.43/8 0.51 0.91 0.52 0.51
9. 91
0. 52 0.51 8.91 8.60 0.51 0.91 TS12I1?;1/2
4. 91 1.N
0. 92
f. 91
1. 0f 0.92 6.91
1. 00 8.71 0.91
1. M 1314t tut /2 0.76 1.fe
0. 65 0.76
1. M 8,65
0. 76 1.N 0.59
f. 76
1. M t

s 4 m ."1 P_...............- I hh.l-f- ?0.... b'Yt.. - ....... - @. -/F7j l' s. Myi: @W) 7.~~ I G R r o .,4 =- --. iv. ,mw-g t

i O NSS NT(!!.5'Ill.5'lig.A LW TME 4 % UILII8IIM FAC70R(ALLargg y fe, y FI R U.S FOR T M.A L e I p L W TrPE 4 ( - 2*Ilt 1/2*:Tagtg 4 33, 4 ( J ai) Ut U2 U3 me U3' Ul U2 u3si g.,, U2... . m.,,.,,',',,,,,, EAG.0 MTA(8.. KTA(p.3 (33, 33 i>..> (IM U 3I CA D C CD g g CI CJ y


*=======

8.4 8.4 3,gg g,3 , 88 8.67

8. 6 3,go g,4 3'I3'8 86!

8.61 1, gg g, p 3'N 0.95 0.95 3,ge .61 8* $ I 8' 7538318Jl/2 0 1.'00 T51,11f15/8 0.76 s.76 3, 33 g, g, j, 8'" 3'88

f. 0F 0,76 8' 7,*

8E 8 35 .de

8. 92 gg 1.00
0. 65 g,65 g,g g

g3 4.'73 ( 73 g,,,

    • II 8'93 1.80 07
3. 88 f511I1213/8 1.

151,II,,,,, l 8.85

g. 35 1.88 8.85 g-i.-

3.88 751411411/2 r r. 3 l E. :.T"' I . u,. c .. ? b M f - 9 7 0 37,/@ ~ l jit ' ' s)74 C7 or O 0; n.s I 4-- g...--,.


.----,,y.

---,---,m.,

LOCA. STRESS PRACT1(12.**Il2.5')T1Tf4 LOC 1Rt 413 4s TUPE filt li/D T* PM>II Sill W1 W2 W3 W' W' W. F H[lWT FS!vN FSt% r.;;,;,. THlWSs FW Fdi eiP (!hl (Ll> (ty, tlN) llN) IIN) flN) (F.lt) (p) (k!N (Flf; (!w ::) an.. .= n..u. = n n==ms. ... m. m ======..=n n o........... n a A P C D E F 6 H I J K L M N O I ... m..- - - m= mm en.==== u mn s m.m n.. 151211913/8 If.N f.37512.5N 12.5N 8.50012.500 45.0N 8.5N 12.".M 45.N3 123.9 8.N 123. N lE 'J 4W. N TSlf!!!!!/2 If.N f.5N 12.5N 12.E' 8. Ne 12.5fe 45.0M 8.Nf 12.5N 45.0N 123.9 8.N 123.N l E J' 4H.N T516I1015/810.0e 0.L2512.5N 12.5N 7.5 N 12.5M 45. N 4 7.500 12.'. M 45. N0 123.0 8. N 123.N TS!211213/812.N f.37512.50012.5N 10.5N 12.5N 49.0N lt.5N 12.5M 49,tM 123.9 8.92 123.N IM. 'J 4U.92 T512I1211/212.N 8.5N 12.W 12.5N IP.DN 12.5N 49.fN It.N212.'.M 49.Nf 123.9 8. N 123.N IE'J 4M.P T514I1411/2 14.ge 0.5N 12.'M 12.5N 12.0N 12.5N 54.8N 12.8N 12.500 50.0fe 123.0 8.00 123.0F IE '2 4%.N r / - ~ _.6_f.- Q.N. V i~' w sp/r7; L2 :. i... g pg 6} [ l nu.227. oF.!.t.l2-l l l l i l I

LOCAL STRESS PROIT(12.5'Il?.5')T1Tf-A LOC TfJLE 4-13-46 TU K SlIE FS!h4' FG45 FSlkW FNCOSM FEt KTAI K TA"- ETAl ETA? WI Of v: THIChhiSS Fv45 M45 FvM RM N0 r.1 ti? Pl (f;*:D (th) F v'. i' (!N) (X1N (IHIN (K!N (lHIN (IN-KIP) (et:1 .. -...russ emm as sines er===...._ s ssanssurwes a rri s res e rnsarmes erressessemes se rs ras e rersa n en e ns a s s es s a.: A 0 R S T U V W I Y M 4 - rrre.... ...nerasesasussars=runswerersurserurseerses, _ _ -. _....... suuss i s s e s re a rs TS!PI:tI3/8 E. 97 69',.79 61.5e 852.17 964.W 8.85

0. 85 1.25 1.25 13.33 1.N
4. 9 TS!flital/2 E.97 695.79 61.54 852.17 M4.N
8. 80 0.84
1. 25 1.5 It.M

!.W E. N TS!*I!P15/8 E. 97 695.79 61.5e 452.17 964.N 4.75

0. 75 1.5
1. 25 6.N 1.M 7.'.#

751211213/8 E. 97 695.79 61.5e 852.17 M 4. M 0.88 0.88

1. M 1.e4
16. W l.W 3.75 15!211211/2 E. 97 69' 79 61.58 852.17 964.W 4.83
0. &3
1. 64
1. 94 12.88
1. W
5. W T514I!411/2 E.97 695.79 61.50 852.17 M4. N
0. E 0.86 0.89 0.89
14. M 1.W 4.21 e

...., _ q

.. 4. j.. C., f. 070..,.f. $_ t.\\.

2 s7,1 6 _ 4]+)k:l ....E r ...h/L mc_idm.fi 6

LE STRESS PReffil2.5.Il2.5')frPE-A LOC TARI 413 46 ftM Sl!E QP1 DP2 091' Off SW1 S4 SW3 SW4 SW5 94 II,5 22,4 in!CMSS 10Nta 5041ER LOWER SHOUER (IM ELD Et 20 EL LOKER 90RTER AaIO.rc 90RTER LC>dGEE A.LROLb3 SE0f!Ch C/.'.! 0: EROSS ER?SS EROSS EROSS ELD ELD ED ELD ED CD (IM TUlf M TUBE TUBE ACROSS PARAdEL ACROSS PARALLEL ISO,lM ($;. lu se nm. ...-== -ma m n ..m.m.-

m...m m m n== m m. m A
  1. C AE W

AG IM hl AJ AK AL AP 4 -========.i......_...--..=m.n... .mm.--.mm.mm -m TSitIltI3/8

1. %

1.%

2. 5t 2.50
24. M 1125 1 % 33
85. W 52.68 177.H 24.48 85.M tSitutst/2
1. %

1.56 2.54 2.M 21.33 1125 158.33 N.W

52. 68 177.48 21.33 N. N T519 1915/8
1. 33 1.33 2.M 2.5e 18.75 1125 158.33 75.N 52.68 177.t8 18.75 75.N TS1211213/8 2.29 2.29
2. 50 2.54 E 75 1 % 25 198.N 126.m 52.N M2.ta E 75 IM.N TS1211211/2
1. 6e I.M
2. 54 2.50 33.33 1 1 25 198.N iM.N 52.68 M2.48 33.33 IN.N TS1411411/2
2. 64
2. 64 2.37 2.37 48.00 1 % 25 268.13 IM.N
52. 68 2el.M
45. N l'.t. N l

l p.gg m mW e

  • 8.e*

9 ess'S t. - _ ,.i - c4 M 4: 07o i1 J I7 ..b.L Sh)[L

T

..*2 's. - l 1 p:.3-b2. w J.a. s

LOCA 31RESS MN(12.5'Il!.5"Mi-c LMD TABLE 413 4 R M 512E 23,6 LK TYTf-A L0AD 1YPt4 TH]CWSS (ACilNG-Vr) F0ACEON W[LD (IM ED

===== s em ==== ==== === = s u

n ma n e==

=.m.== = = =s en===== = n n n e rn e s FWl/te FE2/te IW3/te lYw%2 15 M 45 15 M 3e 15 Fbi 4 M1 24 M &# 24 M.! i.Foilt (10 S.lN) Iksi) (kst) (ksti (K!PS/]N)(MIPS/]N)(KIPS /]N)(K!fS/lN)(Klf$/ N)(K!f Aapaso. w= =.m .=mm ].nn S/INi(KlfS/IM D I.blY en _....... 1I .= n e m m u m e n na A A0 AC A4 AS AT AU W AW AI Av rd

===.m m.. ..-..--m.- TS1tilf13/8 1 % 33 19.29 19.29 7.29 N. 78 34.01 39.06 40.E 44.E 12.05 13.3r 11.64 151011011/2 158.33 15.38 l'. 38 5.47 29.72 38.05 43.79 4.13 4.13 12.81 14.13

14. 5f TSillitt'.18 1 1 33 13.12 13.12 4.37 33.34 42.91 49.55 2.48 2.48 13.66 IL. N
11. 4 E TS12tl213/8 198.00 15.62 15.62 6.69 18.4 23.87 M.!!

M. 78 M. 78 8.98 9.66 9.61 151211211/2 196. 88

12. 30 12.3P 5.82 M. P9 25.22 28.64 29.2
29. 2 9.43 18.15 It.18 f51411411/2 262.98 18.25 18.25 4.92 14.69 18.12 M. 32 M. 58 M. 54 7.72 4.26 8.24 pl-cnne.lbA.O.q

^ t i s ....es.w-.. ..s }{sfik $A h PAGE /2._.OF

LOCAL STRESS 88.DIT(12.5'Il2.5')W 4 LR TAR.E 413 46 TUK $!!E LOC TYPE-8' ILLCha*F.i ts (Fl4 THICh\\15$ ACllWG*VD (jN) es.esess saneeses.essese svnvesseurzwee.sw.entesraer ees 24rkT4 FhW 36146# 39 145 36/ 43e 3FWIf F43 FWFl/te Fh?2/te F 4 3/tr VS1 V 4d (INi (K IPS /l h MK !f5 /lkH N if5/l h MK !!S/l h ) ( Alfi/!N) (K IPS/!NHK!fS/ IN ) (ksti (htti (ht0 (6til bnD m er=== mer== m ru. m = n==.u. )) ALRotc=====remes riens, A M BP IC BD K IF B6 Di 8! 8J IE P. _...--...m=m.n..=m-........mm____ = = =. - -. - _. w.

me.n=====,.

TSjprjpI3/8

11. 58 13.64 5.47
6. 13 6.75 6.21 6.75 18L%

3L 38

18. H 8.82
8. 8:-

TSlf!!ft1/2 12.30 14.50 5.47 L33 L 75 L21 L 75 T. 25 28.99 13.50 9.38 9.36 7519I1915/8 13.12

15. 46 5.47 6.33 L 75 L21 6.75 83.97 24.74 10.8e it. N It.H TS12Il213/8 7.81 9.69 4.66
5. 29 5.%

4.97 5.% 71.40 25.84 14.82 8.57

8. 57 TS12Il211/2 8.29 10.18 4.66 5.29 5.%

4.97 5.56 59.64 M.35 11.12

9. M
9. M TS14Il411/2 L%

L 26 4.57 5.18 5.45 4.87 5.45 41.08 IL53 10.89 8.75 8.75 ( p M. *SP ' l!ag gg' =b 0 DL?*Q-f O]O S- ..v..e a j ~[ p L':a,:.* L L' . PML 60 II'F n..:.I,4. v nh-6

LOCA STRESS PROffill.5'Ili.5'Ifwt-4 LW TEE 4-13-43 EL M I VP (I(IA)P.8) l Aj,(hdyrJ f! ($1[>{p y;*.7;. umm i, u, u..a.., M!N F1 Fl' Mih F2 F2' M!N MIh(F1,F2 F1" Fl P!MFl" # N r:o. (lN) V$1/VS2 (ksil (ksil F1,FI' (F2 MTCx CEN ALS3 F2,F2', (F l' +F2' ) FlI Th, 8 8 )' ..seneseresers answeesis (httl (hlli (htt) (kst) (kg3) me.ssssevsaurserrasassansas .5 2. ; A let BN 10 F IC PR BS ST 10 PV led PI wax _.. TSIFIlf!3/8

8. 82 L 82
8. 82 8.82 14.49 14.40 14.44 23.22 29L.M 292.M 292. 2 216.W T510119!!/2
9. 34
9. 34
9. 34
9. 38 14.49 14.44 14.40 23.78 27t.M 278.99 27e. N 284.48 TS1911tI5/8 19.te ID. M lt. N
10. 09 14.48 14.40
14. 48 24.48 337.2 337.59 337.5e 3';. 90 151211213/8 4.57 L57 8.57 4.57 14.44 14.44 14.40 22.97 292.M 262.50 2ti.M 216.W 151211211/2 9.M 9.N 9.se 9.00 14.49 14.40 14.48 23.48 278.N 279.N 27f.N 264.47 TS1411411/2 8.75
4. 75 L7b 8.75 14.44
14. 44 14.40 23.15 0.M 0.N
0. se
14. 4f r

'%dd L 10 'T.J Qnk@.$. 070 P r s. ** .,.w g u a 4Q nu.s.w hh

< = im ss.. = >(>,. . m.::11 m < o, m 4.,,.., 7P !!E U71<!IAT10N FETC8hMOWN V;/ttflm VD) Fl*t. U'S FCs tc;.c tej; LW IUI *A gjg3 (Hv.1 12 1/2'!!2 1/2*:*tJ.F 4.;;,6., UI W U3 Ul' T' U3' Ul" U2" U3' t'l' " t0' " R'" (IN) KTA(0.8 KfA(0.8 PETAtt.8 (6). 8) (Pl.8) (B).8) (RfA(0.4 ard Blinii m eu. m .n muu==..m m nannessuas m n .msnenenmnin. A BY S2 C3 CC CD E CF CS D4 Cl Cl ..___nu-- a... .=m mmnnn T$ltlltI3/8 0.46 0.46

1. N
t. 75
0. 7' l.M
t. 67 8.67
1. 00 0.46
f. 4(

l.M T$19I1011/2

8. 61
0. 61
1. 09
8. 94
0. 94 1.af
0. 95 0.95
1. N
p. 61 f.61
1. p?

f$17I1815/8

8. 76
f. 76 1.80 1.pr
1. N 1.00 1.M
1. 00 1.Se f.76 0.76 1.N TS!!IntI3/6
8. "w
8. ",

l.ft 0.92

8. 92
1. N 0.65 8.65
1. N
8. 55
8. 51 1.H TS1211til/2 0.73 0.73 1.fe 1.00 1.N

!.N 0.91 0.91 1.M 9.73 0.73

1. M T514114I!/2 0.85
8. 85 1.88 0.85
p. E 1.ge 8.89 6.89 1.N 8.85 0.85
1. N i

,~ ~ _c.:...,

  • $* G A L. *

..mi i ;.. <. ,..g,,.m 4g l sa' s l l l l l

1 LOCR. STESS INDIT(12.5'I!2.5') TYPE-4 LOC TAitt 4-13-46 M (F2) (W12) '791011013/8 Me (F2) M) le C9: (F3) (W6) 8.375 Ms W3) M) 12.5 E9: (F3) M ) 12.5 F9: (F3) M) f!F(M(.(99-4CS),M, (99-4+C9)) Ma (F3) M) +ES M9: (F3) M) 2+(MIN (D9,M)495 19: (F3) M) flF(E9(=(99-4C) E9,(79-eC9)) M W3) M) +M K9: (F3) M) te(MIN (E9,M)+D9) LS: (FI) M J 123 Ms M) 8 W9: M ) 4 9WSIN(fol/2) 09: M ) 4 9dSIN(fol/3) Ms M) 49+#9eOS(fpl/3) M M) 49dS!NIOPl/4) M: M149+a9+CSIOP!/4) 89: 49etSIN(f01/6) T9: 49+#94CDE(fPl/6 1/9: 49+#9 W: M!N(49,M)/79 W9: MIN (*19,M)/M r9: 49/M Yli*M/M 29: *M/(2+CS) M9: 1 } Ar9: X/(0.6e!9) l ACS: 0!FM(0.5,l t.25/(V9+(1-Y91)) i 1 AD9: f!F M(0.5,1,0.25/(W9+(1 W911) .,,;,q ;, ~-y M : 0!F( (1.1. 25+ (1 + ). 5) j , - [ g*- j .5 ...mi3 AHS: 490 i---. q i _/ A19: (MIN (M,99)+E9)+(MIN (D9,99))*2/3 d '" h ) ) / AM: *ll* MIN (39,D9) I M9: 09'2)/3 ///Y (/")/fh 88.93 (MIN (E9,M)+D9hDt*2/3 pgg g g 4 i Apr9: MIN (AS9,M1) APf9: MIN (AH9, AM) 803: MlW(A19,4.9) j iP9: +$t9/I2*mlN(F9,MIC) A09: +W9/(MIN (69,19)+C9e2) A49: *W9/(M1NM,M9)*CS) fE9: +09/(24 MIN (F9,JS))@9/(M9) AT9: +09/(2*MINIF9,D))+M/M1 fU9: 49/(2* MIN (FS,JS))+19/M9 Mt M/MS AW9: MGI(AS1, AT9,8U9, AV9) A!9: +09/(2+fm!N(69,191)+P9/fW9 AY9: +09/(2+ MIN (69,19))+M/fW9 A19: *S9/f2* MIN (69,19)HT9/fW9

l LOCA STESS 84AC>IT(12.5'Ill.5'lifM-4 LMl) TARE 413 4 M9: +U9/AN9 BP9: M ItAI9,AY9,AI9, M9) BC9: +09/(MIN (W9,K9))+09/A09 K'9: +09/(MIN (H9,K9))+N/A09 E9: 49/IMIN(H9,M91)+i9/A09 IF9: +U9/A09 869: M I(BC9,BD9,E9,IF9) M *m 9/C9 819: +B89.'C9 119: +369/C9 M9 MIN ((*4C944V)+AP9),14.4) SLS: MIN (14D94R9dB9),14.4) M s MINIE9,3L9) M M IN((2+C9+0.4e X 4 9),IL9) 309: M IN((2*C9+4.4*E*D9),M9) F9: MIN (IN9,N09) 309 : M I N I ( 2 *C9+E9+@9df9*F 9 ),14. 4 ) DN: P !N((2*C9+W 9+AAS AP9419),14.4) BS9: MIN (109,8 N) 879: MIN ((+M IQ9), (+309+BMH BLS: f!F(D9)sp9,2eC949+0.6eXMQ9,0) M f!FIF9)=M,2K9eD9+0.6*Mo@9,0) Ms MIN (p),M) . BI9: MIN ((BU9+109),(9V9+DM)) M : MIN ((+ M /F9),1) 829: MIN ((+M/A09),1) CRS: MIN ((+M/AM),1) CP9: hl!NIMINIMIIIN9,M),809)/#9,1) CC9: M !N(MIN ( M I(IO9, M ), P91/A09,1) CD9: MIN (MINIMI(IF1 M),3511/AM,1) 29: M!N((MIN (ID9,IL91)/(W9/12*D9+C9)),1) CT9: MIN (MIN (*9,M)/l(W91/(249+C91),1) ][e, CE9 : M I N ( (MI N ( (IP()+ 309 ), k9 ) ) / ( (W9) / l (2 *C9) t (D949 ) ) ), D I GL f g,{,7 ;7 Q_s CH9 : p l W ( f !F (V9 (s t. N E4 V9 (s I 9, P Y 9, f l F (V9 (ef. N E14) 19,29, C99 H BY9 ) I. ' C19: MIN (flF(W9t=0.8,329,CC9) I!9) c9 : M i N i e l r (v9 (... u m m. I 9, CA9, e i r ia (... u m v9n 9, Cs9, m n, Cm) q f{ f Cx9 (r2) mu rSiin.Im .... j s g .. 4g i n:C _!.n cd.'E' l l 1

ATTACHMENT 5 (OAP E P 070) (1) LOTUS 1-2 3 Results for Table 413.4A, 9 sheets Type B Load (2) LOTUS 1 2-3 Results for Table 4 13.48, 9 sheets Type B Load (3) LOTUS 1-2 3 Results for Table 4 13.4C, 9 sheets Type B Load (4) LOTUS 1-2 3 Results for Table 4 13.4D, 12 sheets Type B Load (5) LOTUS 1 2 3 Results for Table 4 13.4E, 9 sheets Type B Load (6) LOTUS 1-2 3 Results for Table 4-13.4F, 9 sheets Type B Load (7) LOTUS 1-2-3 Results for Table 413.4G, 10 sheets Type B Load (8) LOTUS Spreadsheet Cell Definition 3 sheets 72 sheets

LOCA STRESS BRADITil Il 3/8')TWE-B LMD TAAE 413 44 UTILIZATI0h FACTORI ALLORE vp/CIE Ypl F!W U'S FOR TWE4 L%: TLM $1H L%D TWE -P (P%DIT 1 Il 3/8'l A0LE 413.4 nilDe T (lo Ut U2 U3 Un' LI2' U3i gl o go u3o ylo s Llai n g3 o KiA(P.0 OA(0.8 KTate.4 (8).8) (8).8) (8).8) (ETA (p.8 W pl)nt) (10 --==m = me= = m m m mm m _...r mu Bf II CA C3 CC CD E CT CS CN t! CJ A 0.27 L S8

1. 0F I.19 8.40 4.78 0.27 8.55
1. 00 8.27 0.te
1. 00 TS2r211/4 4.19
8. 77 8.97 9.17
0. 55 0.70 0.17 0.76 0.97 0.19 4.77 0.97 T1313rl/4
4. 68
4. 32 9.41
0. 05 0.26 0.26
0. 05
0. 32 0.41
0. 08
6. 32 6.41 T541413/16 0.14 8.58 0.73 0.12 0.55 0.61 0.12 0.58 0.73 0.14 0.58 8.73 T541411/4 L 22
6. 90 1.00
0. 22
8. 06
1. 0F 0.22
8. 90 1.08 8.22
8. 90
1. 00 T54I415/16 S. 32
1. 00
1. 00
6. 32 1.80
1. 00
0. 32
1. 00
1. 00 0.32 1.00 1.00 T542413/8
8. 55 1.00
1. N
0. 55
1. 00
1. M
t. 55
1. 00
1. 00 8.55
1. 00
1. 00 TS4ratt/2 L 86 8.26 9.33
8. 64 0.20 0.20
0. 64 0.26
8. 33
0. E 0.26 0.33 TS51513/16 Lil R.4 L 58
8. 99
8. 4 0.47
0. 99 4.4 0.58 8.11 0.46 0.58 T5515:l/4 8.5 1.00
1. 00 0.26 1.00
1. 00 8.26 1.00
1. 00 0.26
1. 00
1. 00 TS51513/8 0.4
1. 0P
1. 00 L4 1.M 1.00 0.4 1.N 1N 0.4 1.00
1. 00 T551511/2 L O5 0.22 8.27
6. 43 0.16 8.16 0.43 0.22 8.27 0.05 8.22 0.27 TS 61613/16
8. 99
8. 38 A 49 0.07 8.38
0. 37 8.67
8. 38 8.49
8. 99
8. 38 0.49 TS 6!6t!/4 4.15 0.64 8.76 0.14 0.64 0.73 0.14 8.64 8.76 0.15 8.64 8.76 TS 61615/16

(

t. 21 8.E
1. 00
8. 21 8.E I. 00 0.21 0.E I.M 0.21 4.E 1.00 TS 61613/8
8. 38
1. 00 1.00
0. 38
1. 00
1. 0F 0.38
1. N 1N
0. 38
1. 00 1.te TS 61611/2 S.07 L 29
4. 37
8. 05 8.28
8. 27
0. 05 0.29
8. 37 8.07 L 29 0.37 TS 81811/4 8.16 8.65 0.82 0.16 0.65 0.82 4.16 0.65 0.82 0.16 0.65 0.82 TS It!IJ/8 L 28 1.00 1.00 8.20
1. 00
1. M 0.20
1. 00
1. 00 8.28
1. 00 1.00 TS 81811/2 0.13 0.52 0.66 8.13 0.52 0.66 0.13 0.52 0.66 0.13 0.52 0.66 T510!!t13/8 4.23
6. 92
1. 00 8.23
8. 92 1.00 8.23 8.92
1. 00 8.23
8. 92 1.fe TS10!!PII/2
6. 35
1. 00
1. 00
0. 36
1. 00
1. 00 0.36 1.00
1. 00
8. X 1.00 1.fe T51#1191518 0.11 0.43 8.2
4. !!

8.43 0.2 8.11 8.43

8. 55 0.11 0.43
0. 2 751211213/8 0.19 9.77 8.97 0.19 8.77
0. 97 8.19 8.77 0.97 0.19 8.77 8.97 7S12:1211/2 8.16
6. 66 L 83 0.16 0.66
4. &J 8.16 8.66
8. 43 8.16 8.66 8.&3 751411411/2 k.

'h.. Ih -6* ~k SI?lYl t, J ;. : ) J.,;- - : '} Si] Pt.G E i ~! G f 0; 1 -~'

LOA STESS 84DIT(1 113/8'lTYW-P LDC 1ABLE 4-13-44 TUK S!!E 9/D T +. P4 0 E1 517f WI be W3 W4 W5 W6 F E !GHT FS!lf30 FS14e F C59 FSI%45 F <5. C TWithESS Fv90 Fv6e m6e F.45 (!Ni (Lil (L21 H (!NI (IM (!NI (INI (KIP) (iM (MIP) (KIP) (th4!C) (Fli) (t h-6 ti arass==nernesenerrassama rerson n essatnesessesses==u ssasss =sres e n smess a-e ssa ns a n s s aa n n-as s : A B C D E F 6 H I J K L M N O P Q s TS21211/4 2.N 9.25 1.999 1.375 1 Ne 1.375 4.750 1.000 1.000 4.750 2.70 1,63 2.70 2.34 2.19 1.91 3 li 1531311/4

3. N 0.251.IN 1.375 1. Ire 1.375 4.758 1.375 1.000 4.750 2.74 1.0 2.70 2.34 2.19
1. 91 3.1 +

T54I413/16 4.N 8.191.0001.375 !.Ne 1.375 4.75e 1.375

1. 8N 4.754 2.70 1.0 2.79 2.34 2.19
1. 91
3. :t T541411/4
4. 00 8.25 1.0N 1.375 1.000 1.375 4.75e 1.375 1.000 4.750 2.74 1. 0 2.78 2.34 2.19
1. 91
3. !?

T54I415/16

4. N 8.31 1.880 1.375
1. 000 1.375 4.758 1.375 1. 000 4.750 2.74 1.0 2.79 2.34 2.19 1,91
3. !?

154I413/8

4. M 8.38 1.000 1.375 1.0fe 1.375 4.754 1.375 1. 000 4.754 2.70 1.63 2.78 2.34 2.19
1. 91
3. lt 75414I!/2
4. N I.54 1.000 1.375 1.099 1.375 4.758 1.375 1.000 4.750 2.70 1.63
2. 79 2.34 2.19
1. 9) 3.It TS5I513/16 5.00 0.19 1.80e 1.375 1. tee 1.375 4.750 1.375 1.000 4.750 2.70
1. 0 2.78
2. 34 2.19 1.91
3. lt TS5I511/4
5. 00 9.25 1,000 1.375 1. 000 1.375 4.750 1.375 1.000 4.750 2.74 1. 0 2.78 2.34 2.19 1.91
3. It TS515I3/8
5. M 0.34 1.800 1.375 1.sN 1.375 4.754 1.J75 1.800 4.754 2.74 1.0 2.78 2.34 2.19 1.91 3.lt TS$1511/2
5. 00 0. 5e 1.ON 1.375 1.000 1.375 4.758 1.375 1. tee 4.750 2.70 1.0 2.79 2,34 2.19
1. 9)
3. It TS 616I3/15 6. N 0.188 1.0N 1.375 1 Ne 1.375 4.75e 1.J75 1.889 4.754 P. 70 1.0
2. 79 2.34 2.19
1. 9)
3. l t TS 616I1/4
6. 00 0. 254 1. 000 1. 375 1. 8N 1.375 4.750 1.375 1.000
4. 750
2. M 1. 0
2. 78 2.34 2.19 1.9) 3.19 15 61615/16-6.00 0.313 1.000 1.375

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1. 9) 3.lt TS 61613/8 6.00 0.375 1.000 1.375 1.000 1.375 4.750 1.375 1.000 4.754 2.M 1.0
2. 79 2.34 2.19 1.91 3.19
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'S 61611/2 6.te 0.5N 1.IN 1. 375 1.000 1.375 4.754 1.775 1.Ise 4.750

2. 70
1. 0 2.76 2.34 2.19 1.91
3. lt TS 818I1/4
8. N 0.2 9 1.000 1.375 1.000 1.375 4.750 1.375 1.000 4.750 2.70 1.0 2.79 2.34 2.19 1.91
3. lt TS 4!813/8 A ff 0.375 1.000 1.375 1.9N 1.375 4.750 1.375 1. fee 4.754 2.701. L3
2. 70
2. 34 2.19 1.91
3. It TS 41811/2 8.00 0.540 1.000 1.375 1.9 M 1.375 4.75e 1.375 1.ON 4.7502. 70 1.63 2.79 2.34 2.19 1,91
3. lt T51011013/8 10.00 0.375 1.000 1.375 1.00e 1.375 4.75e 1.375 1.0fe 4.754 2.70 1.63 2.79 2.34 2.19 1.9) 3.16 1510!!e11/210.00 0.54e 1.0N 1.375 1.000 1.375
4. 754 1.375
1. IN 4.754
2. 70 1.0 2.78 2.34 2.19 1,91 3.10 TS10!!I!5/810.8e 0.6251.IN 1.375 1.004 1.375 4.754 1.375 1.000 4.75e 2.74
1. 0 2.70 2.34 2.19 1.91 3.19 TS!?Il233/812.N 0.3751.0ft 1.375 1.099 1. 375 4. 750 1.375 1.See 4.750 2.74 1.0 2.78 E.34 2.19 1.9) 3.1t T5121121!/212.8e 0.5M 1.0N 1.375 1. 099 1.J75 4.75e 1.375 1.Ne 4.750 2.79 1. 0 2.78 2.34 2.19 1.91 3.16 T514114I!/2 14.80 0.582 1.000 1.375 1. 0N !.375
4. 754 1. 375 1.00e 4.754
2. 70 1. 0 2.78 2.34 2.19 1.91 3.17 1

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LOCA STRESS t#OIT(1 Il 3/8'lTWi P LGV TABLE 413 4A FStk30 DC0536 FG KTA! KW E7Al ETA 2 IIArmal Of vp 31 52 CE1' Ch?' Sa: Fv3e M3e N nl n2 rl (BASIC) LOGR $08TER L&Go 9(:it e Fy/,6r ELD ELD CD E.: LOU 5 ACROSS KPOSS AC 55 R o','59

4. :

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1. 25
3. 84 4.39
0. 50 0.50 0.69 0.54
4. 00 1.te
15. N 1.N 1.N 2.11 1.M
e. 33 1.35
3. Be 4.39
8. 33 8.46 9.46 0.33 6.te
1. 00
10. N 1.N
1. N

!. 82 1.61 f.3. 1.35 18e 4.79 0.25

0. 34
0. 34 0.25 10.67
1. N 5.63
1. 00 1.80 1.64 1.%
t. M 1.35
3. 8e 4.39 0.25
0. 34
8. 34 0.25
8. 00
1. 00 7.54 1.00
1. N
1. 68 1.%

t.M

1. 35
3. 84
4. 39 8.25
8. 34
8. 34 0.25
6. 44
1. Se 9.38 1.De 1.Se 1.6e 1 'A tU l.35 1 86 4.39 8.25
8. 34
8. 34 8.25 5.33
1. te

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1. se 1.6e 1,56
0. 12 1.35 3.8e 4.39 0.25
0. 34
8. 34 0.25 4.se
1. 00 15.0
1. N
1. 00 1.68 1.56 t.13
1. 35
3. 88 4.39 8.29 0.28 8.25 0.29 13.33
1. 00
4. 54
1. N
1. 00 1.59 1.M
0. M

!. 35 3.8e

4. M 0.29 0.28 0.28 8.20
10. 00
1. 00
6. Se
1. N
1. et 1.59
1. M
t. 31 1.35
3. 84 4.39
0. 20 8.28 8.28 0.2e 6.67 1N
9. 00
1. te 1.N 1.59
1. 9
f. M 1.35
3. 84 4.39 8.20 8.28 0.28 8.29
5. te 1.80 12.00
1. 8P
1. 80 1.59 1.9 f.12
1. 35
3. 8e 4.39 8.17 0.23 8.23 0.17 16.Se 1.00 3.75
1. M
1. N
1. 54 1.46 f.33 1.35 3.8e
4. N 0.17 0.23 0.23 0.17
12. N
1. N
5. 00 1.te 1.ge
1. 54 1.46
0. 33
1. 35 1 80 4.39 0.17 8.23 8.23 0.17 9.64 1.00 1.25
1. 00 1.N
1. 54 1.46 4.33 1.35 3.84 4.39 0.17 8.23 0.23 0.17 8.N
1. 00
7. 58
1. N 1.te
1. 54
1. 66
0. 13 1.35 18e 4.39 0.17 0.23 0.23 8.17
6. N 1.N
10. 00
1. N 1.N

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f. li 1.35 3.84 4.39 8.13 8.17 0.17 0.13 16.0F 1.te 3.75
1. N 1.N
1. 66 1.41
9. 13 1.35
3. 80 4.39 8.13 0.17 0.17 8.13 18.67
1. N
5. 63
3. 86
1. 80
1. '5 l 41 8 32
1. 25 3.te 4.39 0.13 0.17 0.17 8.13 8.ge 1.se
7. M
1. 00
1. M 1,46 1.41
0. 33
1. 35 3.88 4.39 8.10 8.14 8.14
8. le 13.33
1. N
4. 50 1.00
1. M 1.42 1.3e t.13
1. E 1 84 4.39 0.10 8.14 0.14 8.10
30. 00
1. 88
6. 88 3.88
1. 88
1. 42 I. 33

33 1.35

3. 84 4.39 0.10 8.14
  • 14 8.18 I.N 1.N 7.5e I.N 1.N 1.42 1.36
0. 33
1. 35 184 4.39 0.06 8.!!

8.11 8.N

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1. 00 3.75
1. 00 1.M l.M
1. 35 f.M
1. 35 1 80 4.39
0. 08 0.11 8.11
8. 8e 12.8e 1.M
5. te
1. N 1.N 1.35
1. 35
f. 33
1. 35
3. 84 4.39 8.07 0.18 0.10 0.07 14.00 1.00 4.29 1.8e
1. N 1.37 1.34
f. 33 r---.

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l LOCA STRESS BmEl(1 113/8')mi P LOC 1AR.I 4-13 64 M S3 M SW5 SE 21,5 22,4 23,6 LW mt-4 (Acil4-VD) SK8'I A ALLR3AD SKETER LOPCER ALIDAD SEttlCh PCXI.tS (F ELD

      • m=="==r'-

N u m a n s ** s m m n" ELD ED ELD ED CD F@l/te ret /te F%3/te 15fvra l'j.s. I'J.73p lej. :.. e N 4U.D. AC CSS N R LEL (SQ.lk) ($0.lN> (SO.!h) (ksi) (ksil (ksi) (K!CS/lhi n t:S tiki n !ssit hi b itS '! A = = - .une m==m. 1I e AtLtV;D

==m.

==r m m,= e num m AH Gl AJ 4 A M M AP M AR A5 AT A' G. .m n. n

====rrau mr.m mrs=i 1.38

1. 71
1. 00 0.33 2.01
0. 33 1.te 1.71 5.44 5.4 2.27 7.75 It. it 12.97
12. !!
1. 38 1.71
1. 38
8. 33
2. 81
8. 33 1.38 1,71
5. 44 3.93 2.27
7. E I f. 2i 12.87 13.li
1. 38 1,71
1. 38 4.33 2.01 0.33
1. 38 1.71 7.29 5.24
3. 83
7. M lt.it 12.97
13. !!
1. 38 1.71 1.38
8. 33 2.91
0. 33
1. 38 1.71
5. 44 3.93 2.27 7.75
18. M
12. P t
13. !!
1. 38
1. 71
1. 38
0. 33 2.01
4. 33 1,38 1.71 4.32 3.14 1.82 7.75
10. M 12.97 13.26
1. 38
1. 71
1. 38
8. 33 2.01
0. 33 1,38 1.71
3. 68 2.62 1.2 7.75 I t. M 12.07 13.li 1.38 1.71
1. 38
8. 33 2.41
0. 33 1.38 1.71
2. 79 1.%

1.14 7.75 II.M

12. f 7 13.15 1.38 1.71 1.38
0. 33 2.01 L 33 1.38 1.71 7.29 5.24
3. 83 7.75 II.M
12. 67 ' 13.16
1. 38 1.71
1. 38 8.33 2.01 8.33 1,38 1.71
5. 48 3.93 2.27 7.75 II.M 12.07
13. li 1.38 1,71 1.38
8. 33 2.01
0. 33 1, 38 1,71 3.68 2.62 1.9
7. 3 It. M 12.97 13.16
1. 38 1.71
1. 38
0. 33 2.s1 0.33 1.38 1.71 2.78 1.%

1.14 7.75 If. M 12.f7 13 li

1. 38 1,71
1. 38
0. 33
2. 01
0. 33
1. 38
1. 71 7.29 5.24
3. 83 7.75 It. M
12. f 7 13.16
1. 38 1,71
1. 38
8. 33 2.01
0. 33
1. *,8 1.71
5. 64 3.93 2.27 7.M lt.M 12,67
13. !!

1.38 1.71

1. 38
8. 33 2.s1
s. 33
1. 18 1.71 4.32 3.14
1. 82 7.75 II. M 12.97 13.1E
1. 38 1,71 1.38
8. 33 2.01
0. 33
1. 38 1.71 3.68 2.62 1.5e 7.75 II.M 12.f7 13.16 O
1. 38 1.71
1. 38
8. 33 2.01
8. 13
1. 38
1. 71
2. 79
1. 96 1.14 7.75 lt. M 12.97 13.16
l. 38 1.71
1. 38
8. 33 2.01 0.33
1. 38 1.71
5. 44
3. 93 2.27 7.75 II. M 12.97 13.16 1.38 1.71 1.38
8. 13 2.91
0. 33
1. 38
1. 71 3.68 2.62
1. 2 7.75

!#. M 12.87 13.16

1. 38 1, 71
1. 38
0. 33 2.01 0.33 1.38 1.71 2.7tr
1. %

1.14 7.75 II.M 12.97 13.16

1. 38 1.71
1. 38
8. 33 2.01
8. 33
1. 38 1.71 3.68 2.62
1. 9 7.75 If M lid 7
13. lt 1,38 1.71 1.38 8.33 2.11
8. 33
1. 38 1.71 2.78 1.14 7.75 It.M 1237 13.16 1.38 1.71
1. 38
0. 13 2.01 8.33 1.38 1.71 2.16
1. 57 B. 91 7.75 II. M 12.07 13.16
1. 38
1. 71
1. 38
0. 33 2.41 0.33 1, 38 1.71 3.68 2.62 1.2 7.75 I t. M
12. f 7
13. li
1. 38 1.71
1. 38
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0. 33 1.33
1. 71 2.78 1.%

1.14 7.75 It. M 12.f7 13.16

1. 38 1.71 1.38 4.33 2.11 8.33 1, 38
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2. 70
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1.14 7.75 It. M !!. 97 13.16 l l ..o. f. L: = ^ !.9 ?.....U:.."h '( Vl . p vl. i g 'i Pt.5 E C3 L; l,. 1 l l l

utA. STESS 5% Mill 113/8'lTM 9 LOC TRJLE 413-4A L0AD 7YPE-B LW IW4 W-F0RCEDN WELD 8CllMC m.m.n.,m .n. m.n... n u ..n== n m.m n.u s.n n..ur.w n.n==u M1 24Ni48 24M45 26M39 24WM N!Q 36 M 6# 36M45 ENP3r 3LNP9 M3 FWil/te FWM/te N3'te M iklSS /1hMklis/1% H klTS/ lh MKIPS/lN HKIPS/ l N) (kits /lH (K!fS / IN HK!r$ / !h MK!r$/ IN) (KII91N HKlfS/lN) und nio n50 usu m n..-.. !! c(%; n..nn GW Al A1 A7 8A DP IC 8D IE IF 8G 81 8J m. m._ _.... e u n m m m m m n n u.. n. n, m,,, 13.16 3.% 4.E 4.47

4. 39 4.47 1.78 L 2if 2.51 2.57 2.57 2. 65 17.99 19.27 14 *P 13.i6 2.45 2.95 3.25 3.19 3.25 1.78 2.22 2.51 2.57 2.57 52.65 13.03 12.27 IP. N 1116 2.45
2. M 3.25 L 19 3.25 1.78 2.22 2.51 2.57 2.57 70 M 17.36 13.76
5. 0 13.16 2.45 2.95 3.25 3.19 3.5 1.74 2.22 2.51 2.57 2.57 2.65 13.62 10.27
7. W 13.16 2.45 2.95 3.25 3.19 3,25 1.74 2.22 2.51 2.57 2.57 42.12 14.41 8.2?
9. 3E 13.16 2.45 2.95 3.25 3.19 3.25 1.74 2.22 2.51 E57 2.57 35.10
4. W 6.&5 11.2" 13.16 2.45
2. 95 3.25 3.19 3.25 1.78 L22 2.51 2.57 2.57 26.33 6.51 5.14 14.47 13.16 2.45 2.95 3.25 3.19 3.5 1.78 2.22 2.51 2.57 2.57 M 29 17.E 13.79
4. N 11 16 2.45
2. 5 3.25 3.19 3.25
1. 78 L 22 2.51 2.57 2.57 2. 65 13.52 18.27
6. N 13.16 2.45
2. M 3.25 3.19 3.25 1.74 2.22 2.51 2.57 2.57 E le
4. W 6.85
9. N 13.16 2.45 2.95 3.25 3.19 3.25
1. 78 2.22 2.51 2.57 2.57 E 33 6.51 5.14 li.fi 13.16 2.45 2.95 3.25 3.19 3.25 1.78
2. 22 2.51 LD 2.57 78.29
17. E 13.79
3. 7' 13.16 2.45 2.95 3.25 3.19
3. 5
1. 78 2.22 2.51 2.57 2.57 2.65
13. 0 1P.27
5. N 13.16 2.45 2.%

3.25 3.19 3.25 1.78 2.22 2.51 2.57 2.57 42.12 10.41

8. 22 L2' 13.16 L 45 2.M 3.25 3.19 3.25 1.78 2.22 2.51 L57 E57 35.10
8. W L 85 7.W 13.16 2.45 2.95 3.25 3.19 3.25 1.78 2.22 2.51 2.57 2.57

& 33 6.51 ' 14 lt. N 13.16 L 45 2.M 3.25 3.19 3.25 1.78 L 22 2.51 L 57 2.57 52.65 1 3. 02 19.27 3.75 13.16 2.45 2.95 3.25 3.19 3.25 1.78 L22 2.51 2.57 2.57 35.18 4.68 6.85

5. 0 13.16 2.45 2.E 3.25 3.19 3.25 1.78 2.22 2.51 2.57 2.57 PL33 L51 5.14 7.9 13.16 2.45
2. M 3.25 3.19 3.25 1.78 2.22 2.51 2.57 2.57 35.10
8. W 6.65 4.9 13.16 2.45 2.95 3.25 3.19 3.25 1.78 2.22 2.51 2.57
2. 57 E 33 L 51 5.14 6.R 13.16 2.45 2.M 3.25 3.19 3.25 1.78-2.22 2.51 2.57 2.57
21. E 5.21 4.11
7. 9 13.16 2.45 2.95 3.25 3.19 3.25 1.78
2. 22 2.51 2.57 2.57 35.lf 8.W
6. t' 3.75 13.16 2.45 2.E 3.25 3.19
3. 25 1.78 2.22 2.51 2.57 2.57 E 3J 6.!!

5.14

5. N 1116 2.45 2.95 3.25 3.19 3.25 1.78 2.?2 2.51 2.57 2.57 E 33 L SI 5.14
4. 29

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LOCA STRESS $4DIf f! 113/8')fM-B LCC TARE 4-13-4A vp (K1A(p.8) 1 A10ERE Yp (KTA)0.8) 1 Attnggt Fj (m100 cpect;%; ICAC11. ATE IF LI 04 L2)=CII. t V$2 N!% F1 FI' MIN F2 F2' N!N MIN (FI,F2 Fl' Fl RIN(Fl" M!OFl'* Ul ti* (ksil VS!/v$2 (ksi) (hsil Fl,Fl' (F2 MTCH CIN AI 50 F2,F2',(Fl'+f2') Fl"'I F2),Irl"KTMt.3 [ cot. !

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Im M 30 90 90 BR BS IT RJ DV BW B1 Bi 52 =-__.- _ _ _ =. .rre. _._... _ 14.48 14.48

9. 90 7.29 7.20
14. 4 14.06 14.06 21.26
0. 00
0. f6
0. N
14. 06
f. 27 f.9
10. M
19. 8e
9. 90 7.29 7.20 9.!!

11.46

9. !!

18,66 0.N

0. 00 8.N 9.11 0.19
f. "

5.63

5. 63 5.0
5. 44 5.44 3.54 4.53 3.54 9.17 8.M
8. 00
0. 00
3. 54
8. M
t. 3; 7.54 7.54
7. 50 7.M 7.29 L 30 8.06 L 3e
13. M 0.00 0.00 0.0e 6.3#

e.14

f. '4 9.38
9. 38
9. 38
9. 00 9.M
9. H 12.59
9. H 19.22
8. N 8.M I. M 9.64 f 22
f. 9 11.25 11.25 11.25 II. M lt. N 14.17 14.44 14.17 E. M
t. 00 0.00 0.08 14.17 0.32
1. W 14.44 14.44
14. 44 14.48 14.40 14.44 14.44
14. 40
28. N
8. 00
0. 00
8. 00 14.4e 0.55
1. 9 4.54 4.54 4.50 4.54 4.54 2.69 3.48 2.69 7.19
0. 00
0. 00 0.00 2.69
0. 06
8. M L ee L 99 L If LI6 L 90 4.78 L19 4.78 10.78
8. N 0.N 8.00 4.78 S. ll f 65 9.00 9.N
9. 00
9. 00 9.00 10.76 13.92 19.76 19.76
0. 00
0. 0e
f. fe 10.76
6. M l.N
12. te 12.00 12.fe 12.00
12. M 14.48 14.44
14. 44 26.44
0. 00
8. N
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f. 46 1N 3.75 3.75 3.75 3.75 3.75 2.16 2.82 2.16 5.91 0.80 0.00 8.fe 2.16 4.85
0. 22
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5. 00 5.88 L IG
5. 00 1h 5.01 3.H 8.M 8.80
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0. 60 7.58 7.54 7.54 7.54 7.54 8.64

!!.28 8.64 16.14

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8. 66
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0. 00 14.48 8.38

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0. M 8.N
8. N 2.75
f. 07 f 29 5.0 5.0 5.0 5.0 5.0 L18 8.16 6.18 II.N
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f. 65 7.54
7. 54 7.50 7.50 7.54
18. 99 14.44 18.99 18.49
8. N 0.ft 8.00 16.99 8.28 1.90 4.Se 4.50
4. 50 4.54 4.50
4. N L38 4.00 9.30 0.00 8.cf
8. M 4.6e 4.13
0. 52 L 00 L ee L 90 L 80 LN
8. 53 11.34 8.53 14.53
8. M
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f. l.'

7.58 7.50 7.54 7.54

7. 54 13.33 14.44 13.33 20.83
0. 00 8.fe
0. 00 13.33
f. 36
1. N 3.75 1 75 3.75 3.75 3.75 3.92 5.24 1 92 7.67
8. M 0.fe
8. ft 3.92 8.11
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8. se 0.90 8.00 6.97 0.19
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7. 99 5.88 18.17 0.00 9.se I.ft
5. 88 f.16 0.66 i

l I ~- ~ - - " ...G......... - -, r--. i.. ....L f r PAGE b Or M g l l

i LOCAL STESS BROIT(1 Il 3/8'lTM-B LOCC TARE 413-4A UTILl! Ail (N FsCTORtR.LOWAPLE Vp/ ACTING Vo) F144. U'S FOR TM 9 LOAD TUK $12E I OR D-41 ppi s pi LOAD TM -8 (pac,ET I Il 3/ge;TAgt 413.4 TH100ESS L t.6 4t t L2, t-4t: !!N) U3 Ul' U?' U3' Ul" U2" U3" Ul"' U2 " ' U3' " KT A tt.t (P). 8) (P).8) 19).81 (KIA(0.8 ard Blin!) (!N) r.m .....r .= m =mm run uremem CA CP CC CD E CF CS 04 C1 CJ A Q. Cu Di

1. 00 0.19 8.68 8.70 0.27 8.55 1.00 0.27
8. 84
1. N TS2I2Il/4 1.N
1. N
1. N 0.97 8.17 8.55 9.79 0.17 0.76 0.97 0.19 0.77 8.97 7531311/4 2.N
1. M
1. M
t. 41
0. 05
8. 26 8.26 0.M
0. 32 9.41
f. te 0.32 0.41 TS4!4I3/16 3.25
1. N
1. 34 8.73 0.12
0. 2 0.61 0.12 0.58 0.73 0.14 8.58 0.73 TS4I4II/4
3. 00 1.N
1. M 1.N 3.22 0.E
1. 00 0.22 0.90
1. 00 8.22 0.90 1.pe T641415/16 2.75
1. N
1. 36
1. 90 0.32
1. 00
1. 00
0. 32
1. 00
1. N
0. 32 1.80 1.00 T54I4I3/8
2. 50 1.M
1. 38
1. 00
8. 55
1. 00
1. 00 0.55
1. 00 1.00 0.2
1. 00
1. N TS4I4II/2
2. 06 1.N
1. 38
0. 33
e. 84 4.29 0.20
0. 84 0.26
8. 33
8. E 6.26 8.33 TSSI513/16 4.25
1. te
1. 36
0. 58
8. 09 0.4 8.47 8.09 8.4 0.58 0.11 8.46 0.58 TE'I5II/4
4. N
1. N 1.y
1. 00 9.26 1.00
1. M 0.26
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1. N 0.26 1.00 1.te TS51'.13/8
3. 9
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1. IP
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5. ge 1.N 1, 38 4.76 0.14 8.64 8.73 0.14
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0.76 0.15 0.60 0.76 TS 61615/16 4.75 1.00 1, 38

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1. 38 1.00 9.38 1.00
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1. N 1.00 TS 6161!/2 4.00 1.99 1.38 4.37 0.35 0.28 8.27 0.05
8. 29 0.37 0.07 0.29 8.37 TS 81811/4
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9. 65 0.82 0.16
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1. 36 1.00 9.23 9.92
1. 0e 0.23
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1. 38 1.00 4.E 1.88
1. 00 0.36
1. 0 1.00 0.36
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1. 3e 4.55 4.11 6.43 4.55 8.11 0.43 0.55 0.!!

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10. 00 1.N 1.38
8. 43 8.16 8.E
3. 83 8.16 0.66
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LOCA STRESS PROET(1 Il 3/8*)7M-P LOC TABLE 413-4A Win N".4 M,16 W1 Sw? W3 Sa plN Sr., SE $7 54 r:A M-1 SCT LN AL *3JC SWi-Su E1.D ELD ELD !.! ~wi S ETTF3383538 tWE3 85 tW Wt tT EstrTrt et t t t t ttt tst a t a.tWTsamartstrer333rrgrt 3 33,333 rg s g 3 33 33333 333 33r&S$ trt t3 Ers t rT3 8 B**Ft 34ser333333343333333t-CD CF CQ CA CS CT CU CV CW CI CV C2 tt DC n=r.nn.. mmenm r==== m.msn===n mm n num Fm.m m u m am Fm Br==.m. 3,n n n n. - 2.M

2. M 4.75 1.38 8.33 0.33 1.N 4.33 1.99
f. 33 0.63 1.M

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2. t.

2.N 2.75 4.75 1.38

8. 33
f. 33 1, 38 8.33 1.38 8.63
8. 63 1.3e
1. 3e i.e:

2.N 2.75 4.75 1.38

4. 33
0. 33 1.38
0. 33
1. 38 8.63 0.63
1. 36
1. 3d
i. P ;

2.N 2.75 4.75 1.38 t.33

9. 33
1. 38
8. 33 1.38 0.63
0. 0
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1. 38 2.f:

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4. E 1.38
0. 33
0. 33
1. 38 8.33 1.38 9.63 0.63
1. 38

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2. e.
2. te 2.75 4.75
1. 38
8. 33 0.33 1.38 8.33
1. 38 f.63 0.0
1. 38 1.3e i.e:

2.00 2.75 4.5 1,38

0. 13 0.33
1. 38 0.33
1. 38
0. 0 0.63
1. M
1. 34 2.e;
2. 00 2.75
4. 75 1.38
8. 33 8.33
1. 38
0. 33
1. 38
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1. 38
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2. 00 2.75 4.75 1.38 8.33 0.33 1.38
0. 33
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0. 63
1. M 1.M
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f. 33 0.33 1.38 0.33 1.34
8. 63
0. 63 1.M
1. 36
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4. 5
1. 38
8. 33 0.33 1,38 8.33 1.38 0.0 0.63
1. 36
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8. 33
0. 33
1. 38
8. 33 1.38
0. 0 9.63 1.3e
1. 38
2. f; 2.M 2.75 4.4 1, 38 0.33 0.33
1. 38 0.33
1. 38 0.0 9.63
1. 38
1. 35 2.t:
2. at 2.75 4.75 1.38 8.33 1.33
1. 38 8.33
1. 38 8.63 8.63
1. 36
1. 36
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2. 00 2.75 4.75
1. 38
f. 33 9.33 1.38 0.33 1.38
0. 0 9.63
1. 38
1. 38 2.f:

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2. N 2.75 4.75
1. 38
8. 33 0.33
1. 38
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1. 38 0.0
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1. 38 1.34 2.01
2. 00 2.75 4.75 1.38 I. 33 0.33 1.38
0. 33
1. 38
0. 0 9.63
1. 38
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8. 33
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1. 38 8.33
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f. 63 f.O
1. 38 1.3e 2.f:

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2. 75 4.75 1.38 8.33 8.33 1.38
0. 33 1.38
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1. 38
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f. 33
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8. 33 1.38 8.63
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1. 38 0.33 1.38 4.63 1.63 1.3e
1. 36 2.t:
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f. 33
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1. 38 8.33
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2.89 2.75 4.5 1.38

0. 33 8.33
1. 38 0.33 1.35 0.63 8.63
1. 36
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2.8e 2.75 4.75 1, 38 9.33

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10. 90 12.74 13.75 13.75 4.07 4.82 5.24 5.M 5.24 2.59
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10. 90 12.74 13.75 13.75
4. f 7 4.82 5.24
5. M 5.24
2. 54 3.25 3.6:

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8. 32
10. 90 12.74 13.75 13.75 4.07
4. 82 5.24 5.M 5.24 2.59 3.21 3.11 TS'6I613/16 L 32
19. 99 12.74 13.75 13.75
4. f 7
4. 82 5 24 5.N 5.24 2.!9 3.21 3.61 TS 616II/4
4. 32
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2. !9 3.21 3.61

^ TS 61615/16 L 32

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19. 90 12.74 13.75 13.75 4.07
4. 82 5.24
5. N 5.24 2.59 3.21 3dl TS 81811/4 8.32 18.90 12.74 13.75 13.75 4.07
4. M 5.74 5.M
5. t4 f.59 3.11 3 61 TS 81813/8 L 32
10. 98 12.74 13.75 13.75 4.07 4.82 5.74
5. N 5.24 2.59
3. Pl
3. (:

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8. 2 10.90 12.74 13.75 13.75 4.07
4. 82
5. P4 5.N 5.24
2. !9 3.21
3. 6 TSlf!!f!3/8
8. 32
19. 98 12.74 13.75 13.75 4.07 4.82 5.24
5. N
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3. 2:

3.61 751011915/8 L 32

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5. N 5.24 2.!9 3.21 3.61 751?!!!!3/8
8. 32~ 18.90 12.74 13.75 13.75
4. f 7
4. M 5.74 5.M 5.24 2.!9 3.21 3d1 T517112I!/2 L 32
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4. 82 5.74 5.N 5.24 2.59
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27. M
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7. 33
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9. 00 9M 9.00 9.te 9.M
9. M
14. 4
14. 4 1S51511/2 3.67 3.67 27.50 18.48 7.33 IF. M
12. M
12. M

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5. M 5.M 5.M
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5. 63 5.63 5.63 5.63
5. 03 9 i?

8.61 l TS 81611/2 3.67 - 1 67

27. 58 II. 48 7.33 7.54 7.5e 7.54 7.5e
7. f4
7. M
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7. 33 6.M 6.M LM
6. M
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7. 54 7.58
7. 54 7.54 7.M 7.58 14.47
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f. !J TS5I5I3/16 3.77 0.27
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f. 29
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0. 92 0.25 0.64
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0. N 14.48 0.44 1.N 1.N f.44
1. N l.N t4 TS 6I613/16
3. 02 6.77
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5. 37
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f. 53 f.14

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f. N 0.08
f. N
12. M 0.29
f. 54 P.17
f. 2f
f. !d
f. 77
f. ?f TS 61611/2 14.4
24. 49
0. N
0. N f.N
14. 47
0. 36 0.95
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f. 36 0.95 1.N
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7. 54 f.M 0.N 0.N
3. 83
f. f 7 f.10 f.M f.fS f.18
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f. M f.M 14.49 0.27
0. 72
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8. N
0. N 6.67 f.12
0. 32 0.46 0.12 0 32 0 45 01)

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f. 57
f. 82
0. 22
f. 57 8.0
f. 2!

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0. M
0. ee
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1. ff
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f. M AN 5.44
f. l f
f. 27
f. 38
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LOD 1 STRESS fRACKPil 1/2Il 3/8')TM4 LDAD TABLE 4-13-48 jtW S!7E pt F1 AL U'S FOR TM4 LOC TLFr( S!![ I; OR D-4t m!N m!N TH!> NESS SPKT 1 1/21s 3/8%21/l6 TAB 4-13.40 THICFTSS L1,D-4te L2,D-4t; A.r. 6 w: M :p tim (19) SWI tD6 m'.' T" U3" Ul " ' T'" U3' ' C0 C !!NI p.8 ed f!)nl) (IN) .mr _..........=w mn. _..................m. _ _ ___.... nnun m mmn v m m m m= m n A CF CS 01 Cl CJ A Q. Cm CN CC CI' C: u _. _ _. m = =.n-u m =. = m m m. m m m n TS21211/4

f. 34
p. 98 0.12 0.58
f. 98 TS?I2t1/4
1. M
1. N
1. N
2. N 2.f?
5. n TS31311/4 0.47 0.68 0.18 0.48 0.68 T5313I1/4 2.00 1.5e 1.38 3.pe 2.75
5. 75 T54I4I3/16
f. 29
f. 29 0.97 0.29 0.29 TS41413/16 3.25 1.5e
1. 38 3.N i.E

!.. n TS4I411/4 0.36 0.51 0.14 0.36 0.51 T5414II/4 3.se 1.50 1, 38

3. N
2. ':

5.n T54I4I5/16

f. 56 8.84 0.21

.t S6

f. 8f T54!415:16 2.75 1.50 1.38
3. N i 75
5. E T541413/8 0.81
1. 00 0.31 0.81 1.00 TS4140/8 2.9 1.50 1 38 3.M
2. 75
5. 75 T54I4I1/2 1.M
1. N
e. 52 1.M 1.N T54I411 +

2.M 1.58

1. 38
3. N i.E

!. E TSi!!I3/16 f.16 0.23 0.06 l'.16

f. 23 TS!!!!3/16 4.25 1,54
1. 38 3.N e.'t
5. "

2.?$ j 5.75 TS515II/4 0.29

f. 41 0.11
f. ?9 f 41 TS5IIII/4
4. N 1.9 1,38
3. N TSSI5I3/8 8.64 0.92
0. 25
9. 44 0.92 7551513/8
3. 50
1. 50
. 38 3.M 2.0 in TS'ISII/2
1. W
3. M f.44
1. fe
1. M TS'.,15!! /2 3.M

< l.58

1. ;&
3. N 2.75
9. n TF 61613/16 0.13
0. !!
8. 04 f.13 8 19 TS 616I3/16 3.25 i.54 n.M
3. N
2. %
5. 75 TS &I6I!/4 0.24
4. 34
0. 99
f. 24 0.34 TS 61611/4 5.99 1.50
1. 38 3.N 2.75

' 7! TS 6161!/16 0.37

0. 13 0.14 0.37 9.53 TS 61615/16 4 75
1. 54
1. 38 3.N 2.75

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p. 54
8. 77 5.29
8. 54 0.77 TS 61613/8 4%
1. e
1. 38
3. N 2.75
5. 7!

TS 616!!/2 0.95 1.N 6.36 W. 95 !. N 75 616I1/2

4. M 1.50 1.38 3.N 2.7'

'M TS 81811/4 0.18 0.26 9.07 .t.18 8.26 75 8ItII/4 7.N 1.58

1. 38
3. N 2.5
5. 75 T3 81813/8
0. 4f
0. 58 C. !$
s. nf 0.58 TS 8I813/8 6.M 1.5#
. 'a 3.N
2. 7!
5. E T',81811/2 0.72
1. M -

0.27 S. 72

1. M TS 818tl/2
6. N 1.M

!. 33 3.N i 75 'E TSif!!f!3/3

0. 32
0. %

0.12 0.32 0.46 1 9 7I1013/8 8.50 1.9 1.38

3. N
2. "
5. n TSip!!DII/2
0. 57 8.82 0.22 0.57 8.82 TS!PIlf!!/2 8.M 1.5e
1. 38
3. N
5. '5

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0. 34 0.89 1.00 TSlfl1915/8 7.5e
1. 5f
1. 3A 3.N
2. ~5
5. ~2 7512!1213/8 8.27
0. 38 0.10 0.27 f 38 75121!2I3/8
10. 54 1.54
1. 38
3. N

!. 75 TS1211211/2 0.48 0.68 0.18

0. 48 0.68 75!?I!211/2
10. N
1. 58
1. 38
3. M 2.75 5.'

15'4I!411/2 0.41 0.58 p.16 0.41 0.58 7514114t!/2 12.00 1.5e

1. 38 3N
i. 75
5. 75 l

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1. 34 9.33
0. 75 2.E 0.33 1.50
0. 13 0.63 2.E I.50 2.69 2.6:

2.61 T5313It/4 2.E

0. 75 9.75 2.E
p. 75 2.E p.O 9.63 2.N
2. M
2. (S 2.81 2.61 7541413't!

2.E 0.75 0.75 2.M

f. 75
2. E
0. 63 0.63 2.E 2.E
2. 6 ?
2. 6:
2. 6:

TS4I4ti/4 2.M

f. 75
0. 75 2.E 0.75 2.M 8.63 0.63 2.M
2. E 2.69 2.81 2.t:

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2. M
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0. 75 2.E
s. 75 2.M 0.63
p. 63 2.M
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0. 75 2.E
0. 75
2. M 0.63 6.0 2.E
2. N
2. 0 2.61
2. il TS5I!I3/16 2.M
0. 75
0. 75 2.E I.75
2. E
f. 63 f.O 2.E 2.E 2.69 2.6; 2.f:

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2. M
f. 63
0. 63
2. M 2.M 2.69 2.5!

2.f: T551513/8 2.E

p. 75 9.75 2.M
8. 75 2.M
f. 63
p. 63
2. P6 2.M 2.69 2.81 2.61 15575 4 /2 2.E I.E I. 75 2.E
f. 75 2.M f.O 0.0 2.M 2.M 2.69
2. P:
2. f!

TS 61613/16 2.E

f. 75 0.75 2.M 9.75 2.M 0.0
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0. 75 2.E 0.53 0.63 2.M
2. M 2.69
2. E:

2.81 ~ TS 616I5/16 2.E

f. 75
9. 75 2.06
f. 75 2.E p.O P. 63 2.E
2. M 2.69
2. e!

2.8: TS 616I3/8 2.06 0.75 0.75 2.M

0. 75 2.06 0.0
0. 0 2.N 2.E 2.69 2.81 2.61 TS 61611/2
2. 06
p. 7!
f. 75 2.E f 75 2E P. 63 0.63 2.N
2. N 2.69 2.81 2.81 75 01811/4 2.e6 0.75
f. 75
2. 06 9.75
2. M
f. 63 0.0
2. 06
2. N Pc69 2.e t
2. 6 : '

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2. P6 2.69
2. B !

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8. 63 0.0 P.M
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0. 75 2.M 0.75
2. P6
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2. P6 2.69 2.f:
2. f:

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0. 75 2.N 0.75 2E 0.0 0.63 2.E
2. 06 2.69
2. f:

2.8: 75 W IPI5/8 2.M 0.E

0. 75
2. 06
9. 75 2.E 0.63
p. 63 2.E 2.P6 2.69
2. f ;
2. 8) 751211213/8 2.06 P. 75 0.75 2.06 0.75 2.M 0.63 0.63 2.M 2.N 2.69
2. f :
2. f!

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2. %
0. 75 0.75 2.M P. 75 2.M P. 63 p.63 2.M
2. M 2.69 2.61 2.61,

fS14tl4I!/2 2.06 0.75

0. 75 2.E I.75 2.%

0.0

0. 0 2.N
2. %

2.69 2.f:

2. 6:

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LOCA STPESS Facif(! 1/2113/8'IT@F LO@ TABLE 413-4p M t SIIE MIN MIN THI M SS W!! PIN L1, P L 2. P (thi S4-Sm12 (llo

======-r== -......... renn en n e nss enn n n A Dr DG IN DI - - n== - u rm====e n,=== n un. TS2t!!!/4 2.69 2.81 1.50 1.38 T531311/4 2.69 2.81

1. 54 1.38 75414I3/16 2.69 2.81 1.5e
1. 38 75414II/4 2.69 2.81 1.54 1.38 TS41415/16 2.69 2.81 1.54
1. 38 T5414I3/8 2.69 2.81 1.M 1.38 T541411/2 2.69 2.81 1.50
1. 38 TS515I3/16 2.69 2.81 1.5e 1.38 TS51511/4 2.69 2.81 1.5e
1. 3e TSSISI3/8 2.69 2.81 1.58 1.38 TS515II/2 2.69 2.81 1.50 1, 38 l

TS 6I6I3/16 2.69 2.81 1.54 1.38 TS 61611/4 2.69 2.81 1.58

3. 38 TS 61615/16 2.69 2.81 1.54
1. 38 TS 61613/8 2.69 2.81 1.50
1. 38 TS 6I611/2 2.69 2.81 1.58
1. 38 TS 818I!/4 2.69 2.81 1.50
1. 38 l

TS 81813/8 2.69 2.81 1.50 1.38 TS 81811/2 2.69 2.81

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4. 39 4.74 2.41 2.9 3.27 n.

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f LtA STRESS PCET(21/8121/4'ITYM-B LW TAft.E 413-4C TLW $17E LOR TWE-P ALLOW"I4 F vp (PETA (P.81 1 ALLO.M V: ( Ef't. TH! MESS ACTIE-Vp I (lh) 36 M e M3 M 1/te FW/te M3/te V$1 VpA2 p!N FI FI' MIN F2 F2' (In (K!M/INi(K!PS/lN) (ksil (ksil (ksi) (bsi) (ksil YpA1/VpA2 (kril (bsal F1,Fl' (F2 coa CD W IJ At exg) _ _ _ _ _. . - - - (65g 6gg n,g A F BG BH $1 BJ IE BL IW BN B0 10 PO F T531311/4 3.25 1 27 63.fe

29. 68 13.97 11.25 11.25 11.25 11.25 11.25

!!.25

14. 4
14. 4 T5414I3/16 3.25 3.27 66.37 25.31 17.43 5.71 5.65 5.65 5.65 5.71 5.65 9.05 8.75 754I4t!/4 3.25 3.27 49.78 18.98 13.07 7.62 7.53 7.53 7.53 7.4 7.53 14.4 14.49 T54I4I5/16 3,25 3.27 39.82 15.18 18.46 9.52 9.41 9.41 9.41 9.52 9.41
14. 4
14. 4 T54I4I3/8 1 25 3.27 33.19 12.65 6.72

!!.43 !!.29 11.29 11.29 11.43 11.29

14. 4
14. 4 154I411/2 3.25 3.27 31.50
10. 44 6.54 14.40 14.44
14. 44 14.44 14.44
14. 48
14. 4 14.4 15:1513/16 3.25 3.27 66.37 25.31 17.43
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4.54 4.58

4. M 4.58
4. 5e 6.76
6. 9 TS5t!!!/4 3.25 3.27 49.78 18.%

13.07

6. M 6.se 6.Se 6.00
6. M
6. M 12.90 11.5:

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9. M
9. M 9.M
9. M 9M
14. 4
14. 4 TSSI511/2 3.25 1 27 24.89 9.49 6.54
12. M 12.80
12. M 12.00 12.00
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14. 4 14.4 TS 6I6I3/16 3.25 3.27 66.37 25.31 17.43 3.75-3.75 3.75 3.75 3.75 3.75 5.36 5.14 TS 61611/4 3.25 3.27 49.78 18.98 13.87 5.0e
5. 00 5.00
5. 00
5. M 5.fe 9.52 9.13 TS 616I5/16 3.25 3.27
39. 82 15.18 10.46 6.25 6.25 6.25 L25 6.25 6.25
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' 6!613/8 3.25 3.27 33.19 12.65 8.72 7.50 7.54 7.54 7.54 7.50 7.58

14. 4
14. 4 61611/2 1 25 3.27 24.89 9.49 6.54 It. M IP. M
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14. 4 TS 81811/4 3,25 3.27 49.78 18.98 13.07 1 75 3.75 3.75 3.75 3.75 3.75 6.67
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odA STRESS PROF 1(21/8121/4')TVM P LW TARE 413 4C 1 TUK S!?E

p. 81

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( k s i ) - --. -. -... 42 ) _ _.... __... A SS BT BU PV BW gg py g; CA gg gg cg gg . _...====== m m r=== = =. - ,o 1531311/4 14.4 25.65 0.N

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1. fe 14.48 0.18
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0. 75 14.47
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4. 00 8.75 0.01
0. 22
0. 32
0. 09 0.23
f. 32
0. 6 T5414II/4 14.40 21.93 0.fe 0.38 0.00 14.40 0.15
0. 44 s.58 0.15 0.48 0.*e f.15 T541415/16 14.44 23.81
0. 00 0.00
0. N 14.44 0.24 0.62 0.90 0.24 0.63 0.9e 0.24 T414I3/8 14.48 25.69
0. M f.M
0. M 14.48
f. 34 0.89 1.M
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0. 34 T54I411/2 14.44 28.00
0. 00 0.00 0.00 14.40 0.4 1.00
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f.17 TS 01811/2 34.44 21.9e 8.te

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I udt STRESS PMCyIT(21/8I21/4')TM-P LOC TABLE 4-13-4C TUBC S!!E pt F14L U'S FOR TM-P LCR TUR SIZE P 04 D 4t Mit >!N THltMCSS ($m>ET 21/8121/4';TAPLE 4-13.4C THICWESS Ll.D-4tr LP,0-4tc Ale M4 V. IP (jh> (lN) SW1 LC8 *: ft. MD: LP" U3" Ul"' LE' " U3"' WLC W.I W. (!N) 0.8 a t $1)r<ll (!NI ss=== swerusens= =sressus==wserv es....---- an=6== =r sw===s s --. -==s ruz am e r=====s rs==sm m e====rm=====are s :- : m e ss. A CF CS Di C1 CJ A 0. Cx Cx CD CS CO CD ...m _ m m rv

a m e = = m em e = = = === m== = =

TS31311/4 0.54 8.86 0.18 0.54 0.86 7531311/4 2.0e

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p. 33
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TS41415/16 0.62

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8.24 8.62 8.9e TS4:4r5/16 2.75 2.25 2.33

4. M 4.25
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4. M 4.25 f.75 T5515I3/16 0.18 0.26 0.07 0.18 8.26 7551513/16 4.25 2.25 2.13 4.50 4.25
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0. 32
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TE1511/2 1.09

1. 00 0.48 1.M 1.M TS$1511/2
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4. M 2.25 2.13
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1. Ge 1.00
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$ Ar811/4 0.29 0.29

0. 08 f.Pe 0.29 TS 81811/4 7.00 2.25 2.13
4. 5e 4.25 6.75 TS 8r813/8
8. 64 8.65 0.17
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4. W 4.25 8.75 TS 81811/2 0.79
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4. 9 4.25
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0. 63
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4. 5e 4.25 8.4 T51011815/8 8.99
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1. M TS!PIl015/8
7. 50 2.25 2.13
4. 58 4.25
8. E 7S1!!!213/8 8.30 0.43 0.11 0.3e 0.43 TS12 12I3/8 10.50 2.25 2.13 4.50 4.25
6. E 751211211/2 0.53 0.76 0.29~

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TS14tl4II/2 8.45 0.66 0.17 8.45 0.66 TS14rl4II/2

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T5414I3/8 4.78 1.69 1.69 4.78 1.69 4.78 1.51 1.51 4.78 4.78 6.29 6.47 E.47 T54I4I1/2 4.25

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6.47, TS51513/16 4.78 1.69 1.69 4.78 1.61 4.78 1,51 1.51 4.78 4.78

6. P3 6.47 E.47 TS51511/4 4.78 1.69 1.69 4.78

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TS*I411/ 4 0.15 0.41 0.72 0.15 0.59 8.72 0.15 9.41 0.72 0.15 0.41 e.1:- 754I415/16 f.17 0.51

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0. 71 7514I1411/2 S.13 p.2
0. 68 0.13
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f. 52 0.64 f.13 f.2
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0. *2 0.81 0.29 0.52 0.81 0.14 0.52 0.81 0.14
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0. 64
1. M
f. 21 0.64 1.N 8.16
f. 64 1.M 9.16
0. 64
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0. 55
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0. 63
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0. 34
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0. 76
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0. 64
f. 83
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f. 44
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f. 39
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f. 78
1. 88
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