AFFDL TR 69 42 Stress Analysis Manual

AD7591 99

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STRESS ANALYSIS MANUAL

TECHNOLOGY INC DAYTON OHIO

AUG 1969

U.S. Department of Commerce

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AD-759 199

AFFDL-TR-69-42

STRESS ANALYSIS MANUALbyGENE E. MADDUX Air Force Flight Dynamics Laboratory LEON A. VORST F. JOSEPH GIESSLER TERENCE MORITZ Technology Incorporated

Dayton, Ohio

REPRODUCED BY

U.S. DEPARTMENT OF COMMERCENATIONAL TECHNICAL INFORMATION SERVICE SPRINGFIELD, VA. 22161

AFFDL-TR-69-42

FOREWORD

This report is Under Project 1467,

the result of a combined in-house and contract effort. "Structural Analysis Methods" and Task 146702

"Thermoelastic Stress.Analysis Methods" an in-house effort collected and categorized available analysis and design techniques. This collection was a comparison

further reduced and through an automated search technique

of approaches and references was made under Contract F33615-67-C-1538 which was initiated and sponsored by the USAF Flight Dynamics Laboratory. contract with Technology Incorporated, period 30 April 1967 to 30 April 1969. Mr. Gene E. Maddux, of the Flight Dynamics Laboratory, For Technology Incorporated, served as the Dudley C. Ward, Dayton, Ohio, covered the time This

Air Force contract monitor.

Mr.

manager of the Aeromechanics Department, was the project directr-; and Mr. Leon A. Vorst, senior research engineer, was the project engineer.

The authors are grateful for the assistance and the contributions of other Technology Incorporated personnel, particularly Mr. junior research engineer; Mr. Mr. Harold P. Zimmerman, Thomas J. Robert R. Yeager,

Hogan, scientific programmer; and

scientific programmer. approved.

This technical report has been reviewed and i

Chief, Solid

h

nics Aran

Structures Division Air Force Flight Dynamics Laboratory

UNCLASSIFIEDSecurity Classification

AD-759 199DOCUMENT CONTROL DATA - R & Dof title, body of abstract and indexing annotation m,-t be entered when the overall report Is classified)

(Security classitication,

1. ORIGINATING ACTIVITY (Corporate author)

Z&a.REPORT SECURITY CLASSIFICATION

Technology Incorporated

Unclassified2b. GROUP

Dayton, Ohio3. REPORT TITLE

N/A(U) Stress Analysis Manual

4. DESCRIPTIVE NOTES (Type of report and inclusive dates)

Final Technical Report - 30 April 19675. AUTHOR(S) (First name, middle initial, last name)

-

30 April 1969

Gene E. Maddux Leon A. Vorst6. REPORT DATE

F. Joseph Giessler Terence Moritz77..

-'

NO. OF PAGES

17b. NO. OF REFS

August 19698a. CONTRACT OR GRANT NO. 9a. ORIGINATOR'S REPORT NUMBERIS)

F33615-67-C-1538b. PROJECT NO.

Report No.

TI-219-69-24

1467C. 9b. OTHER REPORT NO(SI (Any other numbers that may be assigned

Task 146702 d. ,10. .I;IrnT nIItINI STATEMENT

this report)______

AFFDt-TR-69-42

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._NOTES

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11- SUPPLEMENTARY

12.

SPONSORING MILITARY

ACTIVITY

Air Force Flight DynamicsoLaboratory

lAir Force Systems CommandWright-Patterson AFB,13. ABSTRACT

Ohio 45433

This analysis manual is issued to provide a general purpose structural analysis capability and to serve as a source of data. It represents a collection of techniques from a wide variety of industry sources, textbooks, periodicals, and government agencies. Attempts have been made where applicable to give appropriate recognition to each source. If any omissions or corrections are noted please contact Mr. Gene E. Maddux, AFFDL(FDTR) Wright-Patterson AFB, Ohio 45433. This preliminary issue of the manual will be followed by periodical updates which will be distributed to the original requestors. -

Based on the evaluation of the stress analysis and design techniques and procedures collected from numerous sources, this stress analysis manual covers the principal structural elements of aircraft construction. The manual proper consists of eleven chapters devoted to the stress analysis of beams, columns, bars, trusses, frames and rings, plates, membranes, pressure vessels, lugs, shafts, and bearing surfaces. To make the manual as functional as possible, the analysis methods presented are straightforward, and detailed derivations of equations and methods .are purposefully omitted; still, such derivations may be obtained from the references listed in the Introduction. Sample problems are liberally interspersed to illustrate the analysis methods, and much design data are presented in the form of nomograms and tables to aid computations. To anticipate updating and improvement of the manual, the methods presented follow current design and analysis practices. The development of the manual also sought to anticipate the introduction of machine methods for stress design when procedures become sufficiently standardized. To facilitate the use of the manual, a comprehensive keyword index includes all significant words of the section headins of each chapter.

DD,

FOV

14 7 3

UNCLASSIFIEDSecurity Classification

TT'T" .A qqT1 T1 T Security Classification14. KEY WORDSROLE LINK A WT LINK ROLE B WT LINK ROLE C WT

Stress Design Stress Stress

Analysis Techniques Handbook Manual

UNCLASSIFIED*U.S.Governmnnt Pilnting Office: 1971 -- 759-080/258 Security Classification

Whe Goernentdrawvin's, specificatiops, or other data are usdfor pup-ihrta cn in -on~ion wihadfinitely related C overnrreient pro.curemn-i-t operationi, the UitdState.s Gove~rnmnent thereby incurs no respon-sibility Pnor anY obligation whatsoever; ancl the fact that the GovIernment maiy have formulOated, furni,'sh el, or in any way supplied the saidj~c drawing10s, speci-flcations, or the daais not to be rogirded by implication or C)newxs as. in any niauner liecen-singc~ the holder or any other pl.,,rsoln. or cor1poration", or conve-,(-ying any rights or permi ssio'n to m.-anufacture. u.Se, or se-ll! an~y pa~tentc-d invontion t'hal. mnay in any waym bereae thcreto.

Preceding page blank

TABLE OF CONTENTS

1. .1: 1.2 1.3 1.3.1 1o3.1.1 1.3.1.2 1.3.1.3 1.3.1.4 1.3.1.5 1.3.l.6 13ol..7 1.3.2 1.3.2*1 1.3o2.2 1.3.2*3 1.3.2o4 1.3.2.5 1.3.2.6 1.3.2.6.1 1.3.2.6.2 1.3.2.6.3 1*3.2o7 1.3.3 1.3.3.1 1*3.3.2 1.3.3.3 1.3.3.4 1.3.3.5 1.3.3.6 l13.3.7 1.3.3.8 1*3.3.6.1 1.3.3.8.2 1.3.3.8.3 1%3.3o93 103.3.10 1.3.3.11 1.3.3.12 1.3.3.13 1,3.3.14 1.3.3.15 1.3.3.16 1.3.3.17 1.3.4 1.3.4.1 1.3.4.2 1.3.4.3 1,3.4o4 1.3.4.5 1.3.4.6 1.4 1.4.1 1.4.2 1.4.3 1.5 1.5.1 1.5.1.1 1.5.1.2 1.5ol.3 1.5.2 1.5.2.1 1.5.2.1.1 1.5.2.1.2 1.5.2.1.3 1.5.2.1.4 1.5.2.105 1.5.2.2 1.5.2.2.1 1.5.2.2.2 1.5.2.2.3 1,5,2.2. 1.5o2.2.5 I.5.Zo.26 1.5.2.2.7 1.5.2.2.8 l.5,23

btAMS INTRODUCTION TO THE ANALYSIS OF BEAMS NUMENCLATURE FOR THE ANALYSIS OF BEAMS INTRODUCTION TO BEAMS IN bENDING SIMPLE BEAMS IN BENDIAgG SIMPLE bEAMS IN ELASTIC BENDING SAMPLE PRoBLEN-SIMPLE 6LAMS IN LLASTIC BENDING SIMPLE BEAMS IN PLASTIC BEIwOING SAMPLE PRudLEM-SIMPLL BEAMS IN PLASTIC BENDING 1NTRO"UCTION TO LATEkAL INSTABILITY OF OEEP BEAMS IN BENDING LATERAL INSTABILITY OF DEEL RECTANGULAR BEAMS IN BENDING LATERAL INSTA6ILITY OF OEEw 1 BEAMS INTRODUcTION TO SHEAR AEB BEAMS IN dENDING INTRODUCTION TO SHEAR RSlbANT BEAMS IN BENDING UNSTIFFENED SHEAR RESISTANT BEAMS IN BENDING STIFFENED SHEAR RESISIAiiT BEAMS IN BENDING FLANGES OF STIFFENED bhEAR RESISTANT BEAMS WEdS OF STIFFENED SHEAR RESISTANT BEAMS RIVETS IN SHEAR RESISIANT BEAMS "EB-TO-FLANGL RIVETS IN SHEAR RESISTANT BEAMS hEB-TO-STIFFENER RIVETS IN SHEAR RESISTANT BEAMS oTIFFENER.TO-FLANGE" RIVETS IN SHEAR RESISTANT BEAMS SAMPLE PRuBLEM-STIFFE;,ED SHEAR RESISTANT BEAMS IiTRODUCTION TO PARTIAL TmNSION FIELD BEAMS IN BENDING *EBS OF PARTIAL TENSIuN FIELD BEAMS EFFECTIVE AREA OF THE UPRIGHT OF A PARTIAL TENSION FIELD BEAM i4SIGN CRtTERIA FoR THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM MOMENT OF INERTIA OF Ih UPRIGHTS OF A PARTIAL TENSION FIELD BEAM COMPUTED STRESSES IN THE uPRIGHTS OF A PARTIAL TENSION FIELD BEAM ALLOWABLE STRESSES IN THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM FLANGES OF PARTIAL TENSION FIELD BEAMS RIVETS IN PARTIAL TENSION FIELD BEAMS *EB-TO-FLANGE RIVETS IN A PARTIAL TENSION FIELD BEAM aEB-TO.UPRIGHT RIVETS IN PARTIAL-TENSION FIELD BEAM UPRIGHT.TU.-FLANGE RIVETS 11 A PARTIAL TENSION FIELD BEAM ENDS OF PARTIAL TENSION FIELD BEAMS WEBS AT TwE ENDS OF PARTIAL TENSION FIELD bEAMS UPRIGHTS AT THE ENDS UF PARTIAL TENSION FIELD BEAMS RIVETS AT THE ENDS OF PARTIAL TENSION FIELD BEAMS SAMPLE PROBLEM-PARTIAL TENSION FIELD BEAMS PARTIAL TENSION FIELD BEAMS WITH ACCESS HOLES WEBS OF PARTIAL TENSIuN FIELD BEAMS WITH ACCESS HOLES UPRIGHTS oF PARTIAL TLNbION FIELD BEAMS WITH ACCESS HOLES RIVETS IN PARTIAL TENSION BEAMS WITH ACCESS HOLES INTRODUCTION TO REACTIOti FuRCES AND MOMENT5 ON BEAMS UNDER'TRANSVERSE LOADING REACTION FORCES AND MOMENTS ON BEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT SAMPLE PRiBLEM - REACIlUNS ON BLAM WITH ONE FIXED AND ONE PINNED SUPPORT REACTION FORCES AND MOMENTS ON BEAMS WITH BOTH ENDS FIXED REACTIuN FORCES AND MuMENTS ON CONTINUOUS BEAMS APPLICATION OF THE ThWEE MOMENT EGUATION TO SOLVING FOR THE REACTIONS ON CONTINUOUS BEAMS SAMPLE PRALBLEM . REACiIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EUUATION INTRODUCTION TO BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS APPROXIHATE METHOD Fu, UEA,4S UNDER COMBINEO AXIAL AND TRANSVERSE LOADS . BEAM COLUMNS LXACT METHOO FOR DEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAN COLUMNS SAMPLE PROBLEM-BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAN COLUMNS INTRODULTION TO BEAMS IN TORSION CIRCULAR hEAMs IN TORS1UN uNIFORM CIRCULAR 6EAM4 IN TORSION NUNUNIFuR,A CIRCULAR BtAMS IN1 TORSION SAMPLE PAoBLEM.CIRCULAR BEAMS IN TORSION NUNCIRCULAR BEAMS IN TORSION NONCIRCULAR OPEN BEAMS IN TORSION ELLIPTICAi BEAMS IN TORSION RECTANGULAR BEAMS IN TORSION NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION SAMPLE PRoBLEM-NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION NONCIRCULAR OPEN BEAMS WITH VARIOUS CROSS SECTIONS IN TORSION NONCIRCULAR CLOSED BEAMS IN TORSION SINGLE CELL NuNCIRCULAR CLOSED BEAMS IN TOkSION SINGLE CELL NONCIRCULAR CLOSED BEAMS WITH UNIFORM CROSS SECTION IN TORSION SINGLE CELL NONCIRCULAR TAPERED CLOSED BEAMS IN TORSION EFFECT OF STIFFENERS ON NONCIRCULAR CLOSED BEAMS IN TORSION SAMPLE PROBLEM - NONCIRCULAR CLUSED STIFFENED UNIFORM SECTION BEAM IN TORSION eFFECT OF CUTOUTS ON CLOSED SINGLE CELL BEAMS IN TORSION MULTICELL CLOSED BEAMS IN TORSION SAMPLE PRoBLEM-MULTICELL CLOSED BEAMS IN TORSION EFFECT OF END RESTRAINT ON NONCIRCULAR BEAMS IN TORSION

v

TABLE OF CONTENTS (continued)

1.5,0. 1.5.3.1 1.5o3.2 1.5.4 1.5.4.1 1,5.*42 2. 2.1 2.2 2.3 2.3.1 2.3.1.1 2.3.1.2 2.3.le3 2.301.4 2.3ot.5 2.3.1.6 2.30.* Z.30108 2.3.l19 2.3..10 Z.3.1.11 2.3.1.11.1 2.3.1.11.2 Z.3.1.11.3 2.3.1.11.4 2.3.1.11.5 2.3.1.I1.6 2.3.1.11.7 2.3.1.11.8 2.3.1.11.9 2.3.1.12 2.3.1.13 2.3.2 2.3.2.1 2.3.2.2 2.3.2.3 2.3.2.4 2.3.2.5 2.3.2.6 2.4 2.4.1 Z.4.2 Z.4.3 3. 3.1 3.z 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 4. 4.1 4.2 4.3 4.3.1 4.3.2 4.3.3 4.3.4 4.3.5 4.3.6 4.3.7 4:4 4.4.1 4.4.2 4.4.3 4.4.4 5. 5.1 5.2 5.3 S.. 5.5

ANALOGIES FOR BEAMS IN TORSION MEMBRANE ANALOGY FOR dEANS IN ELASTIC TORSAUN SAND HEAP ANALOGY FOR BEAMS IN PLASTIC TORSION HELICAL SPRINGS HELICAL SPRINGS OF ROUND WIRE HELICAL SPRINGS OF SUuARL WIRE CULUMN ANALYSIS INTRODUCTION TO COLUMN ANALYSIS NOMENCLATURE FOR COLUMN ANALYSIS SIMPLE COiUMNS PRIMARY FAILURE OF SIMPLE COLUMNS COLUMN DATA APPLICABLL TO BOTH LONG AND SHORT COLUMNS SAMPLE PROBLEM - COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED LONG COLUMNS COEFFICIEwT OF CONSTRAINT FOR END LOADED COLUMNS DISTRIBUTED AXIAL LOAUS SAMPLE PROBLEM - CONCENTRICALLY LOADED LONG COLUMN IN BENDING BENDING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS EQUIVALENT ECCENTRICITY FOR IMPERFECT COLUMNS SAMPLE PROBLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EQUIVALENT ECCENTRICITY BENDING FAILURE OF SmuRT COLUMNS bENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS TANGENT MODULUS EQUATION SAMPLE PROBLEM - USE OF TANGENT MODULUS EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS REDUCED MODULUS EUUATION JOHNSON-EuLER EQUATION STRAIGHT LINE EUUATION SAMPLE PROBLEM - USE oF STRAIGHT LINE EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS CRITICAL EFFECTIVE SLENDERNESS RATIO BENDING FAILURE OF ECCENTRICALLY LOADED SHORT COLUMNS SAMPLE PROBLEM - ECCENTRICALLY LOADED SHORT COLUMN IN BENDING TORSIONAL FAILURE OF bIMPLE COLUMNS SAMPLE PRuBLEM - TORSaONAL FAILURE OF SIMPLE COLUMNS INTRODUCTION TO CRIPPLING FAILURE OF COLUMNS CRIPPLING STRESS OF MuUND TUBES SAMPLE PRcBLEM - CRIPPLING STRESS OF ROUND TUBES CRIPPLING STRESS OF OUTSTANDING FLANGES CRIPPLING STRESS OF ANGLE ELEMENTS AND COMPLEX SHAPES SAMPLE PRuBLEM - cRIPPLING STRESS OF A COMPLEX SHAPE CRIPPLING STRESS OF I BEAMS COMPLEX COLUMNS STEPPED AND TAPERED COLUMNS SAMPLE PRObLEM - STEPPED CULUMN LATTICED COLUMNS bAR ANALYSIS INTRODUCTION TO BAR ANALYSIS NoMENCLATuRE FOR bAR ANALYSIS STATIC TENSILE LOADING OF BARS SAMPLE PRjBLEN - BAR UNDER STATIC TENSILE LOAD CYCLIC TESILE LOADING OF bARS SAMPLE PROBLEM - BAR UNDER CYCLIC TENSILE LOAD LOMPRESSIvE LOADING OF BARS "bENDING LuADS ON bARS TORSIONAL LOADING OF oARS LACING 6AwS IN COLUMNS TRUSSESINTRODUCTION TO TRUSStS NOMENCLATURE FOR TRUSSES STATICALLY DETERMINATL TRUSSES INTRODUCTION TO STATICALLY DETERMINATE TRUSSES APPLICATION OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES SAMPLE PRC;BLEM-APPLICATION OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES APPLICATION OF THE MEIHuD uF SECTIONS TO STATICALLY DETERMINATE TRUSSES SAMPLE PROBLEM - STATICALLY DETERMINATE TRUSSES BY THE METHOD OF SECTIONS DEFLECTIONS IN STATICALLY UETERMINATE TRUSSES SAMPLE PRuBLEM-DEFLECIIuNS IN STATICALLY DLTENMINATE TRUSSES STATICALLY INDETERMINATE TRUSSES iNTROUUCTION TO STATICALLY INDLIERMINAIE TkUSSES STATICALLY INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY SAMPLE PR0BLEM-STATICALLY INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY STATICALLY INDETERMINATE TRUSSES WITH MULTIPLE REDUNDANCIES FRAMES ANO RINGS INTRODUCTION TO FRAMES AND RINGS NOMENCLATURE FOR FRAMLS AND RINGS SOLUTION uF FRAMES BY THE METHOD OF MOMENT UDITRIBUTION SAMPLE PRoBLEM-SOLUTION OF FRAMES BY THE METHOD OF MOMENT DISTRIBUTION RECTANGULAR FRAMES

vi

TABLE OF CONTENTS (continued)

5.6 5.7 5.8 5.9 5.10 6. 6.1 6.2 6s3 6.3.1 6,3.2 6.3.3 6.4 b.4,1' 694.2 6.5 6.6 6.7 6.8 6.8.1 6.8.2 6.9 6.10 6.11 7. 7.1 7.2 7.3 7.4 7.5 7.5.1 7.5.2 7,5.3 7.5.3.1 7.5.3.2 7.5.3.3 8. 8.1 8.2 8.3 8.3.1 8.3.1.1 8.3.101. 8.3.1.1o2 8.3.1.1.3 8.3.01.2 8.3.1.2.1 8.3.1.2.2 8.3.1.2.2.1 8.3.1.2.2.2 8.3.I.2,2oZ.I 8.3.1o2.2.3 8.3.1.2.2.3.o 8.3o..2o2.4 8.3.1.2o2.4.1 8.3.1.3 8.3.1.3.1 8.31.3.1.1 8.3.19.32 8.3.1.4 8.3.1o5 8.3.1.5.1 8.3.1.51.1 8.3.1.5.1.2 8.3.1.5.2 8.3.1.5o2ol 8.3.1.5.2.2 8.3.1.5.3 8.3.1.5.3.1 8.3.1,5,3.2 8.3.1.5.3.2,1 8.3.1,5,4 8.3.1.5.4.1 8.3.2 8,3.291 8.3.2.1.1 8.3.2o2 8.3.2.2.1

SAMPLE PROBLEM-RECTANGULAR FRAMES F0R FORMULAS SIMPLE FRAMES SAMPLE PROBLEM-FORMULAS FOR SIMPLE FRAMES CIRCULAR RINGS AND ARCHES SAMPLE PRoBLEM-CIRCULAR RINGS AND ARCHES ANALYSIS OF PLATES INTRODUCTION TO ANALYSIS OF PLATES NUMENCLATuRE FOR ANALYSIS uF PLATES AXIAL COMPRESSION OF FLAT PLATES BUCKLING uF UNSTIFFENED FLAT PLATES IN AXIAL COMPRESSION BUCKLING oF STIFFENEU FLAT PLATES IN AXIAL COMPRESSION CRIPPLING FAILURE OF PLAT STIFFENED PLATES IN COMPRESSION BENDING OF FLAT PLATES UNSTIFFENED FLAT PLAILS IN bENDING bEAM-SUPPORTED FLAT PLATES IN BLNUING SHEAR BUCKLING OF FLAT PLATES AXIAL COMPRESSION OF LURVLD PLATES SHEAR LUAnING OF CURvtD PLATES PLATES UNDER COMBINED LUAuINGS FLAT PLATES UNDER COMbINED LOADINGS CURVED PLATES UNDER CUMUINED LOADINQS BuCKLING oF OBLIQUE PLATES SAMPLE PROBLEM-PLATE ANALYSIS BUCKLING oF SANDWICH PANELS MEMBRANES INTRODUCTION TO MEMBRANES NOMENCLATURE FOR MEmuRANES CIRCULAR MEMBRANES SAMPLE PROBLEM - CIRCULAR MEMBRANES RECTANGULAR MEMBRANES LONG RECTANGULAR MEMBKANES SAMPLE PROBLEM - LONG RECTANGULAR MEMBRANES SHORT RECTANGULAR MEMBRANES THEORETICAL RESULTS FwR SHORT RECTANGULAR MEMBRANES APPLICABIl ITY OF THEUOETICAL RESULTS FOR SmORT RECTANGULAR MEMBRANES SAMPLE PROBLEM - SHORT RECTANGULAR MEMBRANES PRESSURE VESSELS INTRODUCTION TO PRESSURE VESSELS NOMENCLATURE FOR PRESSURE VESSELS THIN PRESSURE VESSELS SIMPLE THIN PRESSURE VESSELS MEMBRANE STRESSES IN ZIMPLE THIN SHELLS OF REVOLUTION MEMBRANE STRESSES IN THIN CYLINDERS MEMBRANE STRESSES IN THIN SPHERES SAMPLE PROBLEM - MEMbRANE STRESSES IN THIN LYLINDERS AND SPHERES HtADS OF THIN CYLINDRICAL PRESSURE VESSELS MEMBRANE STRESSES IN MEADS OF THI1 CYLINDRICAL PRESSURE VESSELS DISCONTINUITY STRESSES AT THE jUNCTION OF A THIN CYLINDRICAL PRESSURE VESSEL AND ITS HEAD INTRODUCTION TO DISCONTINUITY STRESSES DISCONTINUITY STRESSES AT ;UNCTION OF THIN CYLINDRICAL PRESSURE VESSEL AND HEAD SAMPLE PROBLEM - DISCUNTINUITY FORCES IN CYLINDRICAL PRESSURE VESSELS WITH DISHED HEADS DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH FLAT HEADS SAMPLE PRoBLEM - DISCONTINUITY STRESSES IN PRESSURE VtSSELS WITH FLAT HEADS DUSCONTINUITY STRESSES IN IHIN CYLINDRICAL PRESSURE VESSELS WITH CONICAL HEADS SAMPLE PROBLEM . DISCoNTINUITY STRESSES IN PRESSURE VESSELS WITH CONICAL HEADS BUCKLING uF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSURE BUCKLING oF ThIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE SAMPLE PROBLEM - BUCKLING oF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE bUCKLING OF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE STRESSES IN SIMPLE CYLIDkRICAL PRESSURE VESSELS DUE TO SUPPORTS CRIPPLING STRESS OF PRESSURIZED AND UNPRESSURIZEC' THIN SIMPLE CYLINDERS CRIPPLING STRESS OF SIMPLE THIN CYLINDJLRS IN COMPRESSION CRIPPLING STRESS OF UV"IpKESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CkIPPLING STRESS OF PKLSSURIZEU SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN BENDING CRIPPLImG STRESS OF UNPNESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLIiiG STRESS uF SIMPLE THIN CYLINDERS IN TORS1ON CRIPPLING STRESS oF UNPMLSSURIZED SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION SAMPLE PROBLEM - CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION INTERACTION FORMULAS FOR THE CRIPPLING OF PRESSURIZED AND UNPRESSURIZED CYLINDERS SAMPLE PROBLEM . CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING STIFFENED THIN PRESSURE VESSELS THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE SAMPLE PROBLEM - THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE THIN CYLINDRICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE (STRINGERS OPTIONAL) SAMPL. PROBLEM - STIFFE14ED THIN CYLINDRICAL PRESSURE VESSEL WITH INTERNAL PRESSURE

vii

TABLE OF CONTENTS (concluded)

8.4 6.4.1 8*4.1.1 8.4.1.2 6.4.1.3 8.4.2 8.5 9. 9.1 9.2 9.3 9.3.1 9.3.2 9.3.3 9.3.4 9.3.5 9.4 9.4.1 9.4o2 9o4.3 9.4.4 9.5 9.5.1 9.5.2 9.5.3 9.5.4 9.5.5 9.6 9.7 9.7.l 9.7T2 9.8 9.9 9.10 9.10.l 9.10.2 9.11 9.12 9*13 9.14 9,14.1 9.14,1.1 .9.14.1.2 9.14.1.3 9.15 9.1501 9.15.2 9.15.3 9.15.4 9.15.5 9.16 9.17 9.18 10. 10.1 1O.2 10.3 10.4 10.5 10.6 10.6.1 10s6.2 11. 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.7.l II.72

THICK PRESSURE VESSELS THICK CYLINDRICAL PRESSURE VESSELS THICK CYLINDRICAL PRESSURE VESSELS UNDER INTERNAL PRESSURE ONLY THICK CYLINDRICAL PRESSURE VESSELS UNDER EXTERNAL PRESSURE ONLY SAMPLE PROBLEM - THICK CYLINDRICAL PRESSURE VESSEL THICK SPHERICAL PRESSURE VESSELS ANISOTROPtC PRESSURE VESSELS LUG ANALYSIS INTRODUCTION TO LUG ANALYSIS LUG ANALYSIS NOMENCLATURE LUG AND BUSHING STRENbTH UNDER UNIFORM AXIAL LOAD LUG BEARING STRENGTH uNDER UNIFORM AXIAL LOAD LUG NET-SECTION STRENGTH UNDER UNIFORM AXIAL LOAD LUG DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD bUSHING BEARING STRENUTH UNDER UNIFORM AXIAL LOAD COMBINED'LUG-BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD L.UBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD LUG-BUSHIiG DESIGN STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FUR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG TANG STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD SINGLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD LUG BEARING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS LUG NET.SECTION STRENGTH FOR SINGLE SHEAR 40INTS UNDER UNIFORM AXIAL LOAD BUSHING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR SINGLE SHEAR JOINt5 UNDER UNIFORM AXIAL LOAD EXAMPLE OF UNIFORM AXIALLY LOADED LUG ANALYSIS LUG AND BUSHING STRENGTH UNDER TRANSVERSE LOAD LUG STRENGTH UNDER TRANSVERSE LOAD BUSHING STRENGTH UNDER TRANSVERSE LOAD DOUBLE SHEAR JOINTS UI1OER TRANSVERSE LOAD SINGLE SHEAR JOINTS UNDER TRANSVERSE LUAU LUG AND BUSHING STRENGTH UNDER OBLIGUE LOAD LUG STRENGTH UNDER OBLIUuE LOAD BUSHING STRENGTH UNDER ObLIQUE LOAD DOUBLE SHEAR JOINTS UNDER OBLIQUE LOAD SINGLE SHEAR JOINTS UNDER OBLIQUE LOAD MULTIPLE SHEAR AND SIiGLE SHEAR CONNECTIONS AXIALLY LOADED LUG DESIGN AXIAL LUG DESIGN FOR PIN FAILURE AXIAL LUG DESIGN FOR PIN FAILURE IN THE SHEARING MODE AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE EXAMPLE OF AXIALLY LOADED LUG DESIGN ANALYSIS OF LUGS WITH LESS THAN S PCT ELONGATION BEARING STRENGTH oF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION NET.SECTIoN STRENGTH UF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION STRENGTH oF LUG TANGS IN AXIALLY LOADED LUGS WITH LESS THAN S PCT ELONGATION LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR JOINT WITH LESS THAN 5 PCT ELONGATION BEARING STRENGTH OF TRANSVERSELY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION STRESSES DUE TO PRESS FIT BUSHINGS LUG FATIGUE ANALYSIS, EXAMPLE PROBLEM OF LUU FATIGUE ANALYSIS TRANSMISSION. SHAFTING ANALYSIS INTRODUCTION TO TRANSMISSION SHAFT ANALYSIS NOMENCLATURE USED IN TRANSMISSION SHAFTING ANALYSIS LOADINGS ON CIRCULAR TRANSMISSION SHAFTING ANALYSIS OF COMBINED STRESSES IN TRANSMISSION SHAFTING DESIGN STRESSES AND LOAD VARIATIONS FOR TRANSMISSION SHAFTING DESIGN PROCEDURE FOR CIRCULAR TRANSMISSION SHAFTING SAMPLE ANALYSIS OF CIRCULAR TRANSMISSION SHAFTING GENERAL DFSIGN EQUATIUN FOR CIRCULAR TRANSMISSION SHAFTING BEARING STRESSES INTRODUCTION TO BEARING STRESSES NOMENCLATURE FOR BEARING STRESSES bEARING STRESSES IN RIVETED CONNECTIONS SAMPLE PROBLEM - bEARING STRESSES IN RIVETED CONNECTIONS ELASTIC STRESSES AND LEFoRMATION OF VARIOUS SHAPES IN CONTACT SAMPLE PROBLEM - ELASTIC STRESS AND DEFORMATION OF CYLINDER ON CYLINDER EMPIRICAL TREATMENT OF ALLOWABLE BEARING LOADS EMPIRICAL FORMULAS FUK ALLOWABLE BEARING LOADS OF A CYLINDER ON A FLAT PLATE EMPIRICAL FORMULA FOR ALLOWABLE BEARING LOAD OF STEEL SPHERES IN CONTACT

viii

KEYWORD INDEX Introduction This Keyword Index is based on the headings in Chapters 1 through 11. In the preparation of this index, first all significant words in these headings were extracted and arranged alphabetically. Words closely related such as "loads, " "loading, " and "load" were denoted by the single word "loading." The resultant significant words are presented on this page. Second all headings with significant words were grouped alphabetically under each significant word. The following pages present the grouped headings, each with its number identification, under the respective significant words.

ACCESS ALLOWABLE ANALOGYANALYSIS ANGLE ANISOTROPIC ARCHES AXIAL BAR BEAM BEARING BENDING BUCKLING BUSHING CELL CIRCULAR CLOSED COEFFICIENT COLUMN COMBINED COMPLEX CONCENTRICALLY CONICAL CONNECTIONS CONSTRAINT CONTACT CONTINUOUS CRIPPLING CRITERIA CRITICAL CROSS CURVED CUTOUTS CYLINDER DATA DEEP DEFLECTIONS DEFORMATION DESIGN DETERMINATE DISCONTINUITY DISHED DISTRIBUTED DISTRIOUBLE N DOUBLE ECCENTRICITY EFFECTIVE ELASTIC ELLIPTICAL ELONGATION EMPIRICAL END EQUATION

EQUIVALENT EXACT EXTERNALFAILURE FATIGUE FIELD FIT FIXED FLANGES FLAT FORCES FORMULA FRAMES HEAD HEAP HELICAL HOLES IMPERFECT INDETERMINATE INERTIA INSTABILITr INTERACTION INTERNAL JOHNSON-EULER JOINT JUNCTION LACING LATERAL LATTICED LOADING LONG LUG MEMBRANE MODE MODULUS MOMENT MULTICELL MULTIPLE NONCIRCULAR NONUNIFORM OBLIQUE OPEN OUTSTANDING PANELS PIN PINNED PLASTIC PLATE PRESS PRESSURE PRESSURIZED PRIMARY RATIO

REACTION RECTANGULAR REDUCEDREDUNDANCY RESISTANT RESTRAINT REVOLUTION RINGS RIVETS ROUND SANDWICH SECTION SECTION SHAFT SHAPE SHEAR SHELLS SHORT SIMPLE SLENDERNESS SPHERES SPRINGS SQUARE STATIC 5TATICALLN STEEL STEPPED STIFFENERS STRAIGHT STRENGTH STRESS STRINGER STRINGERS SUPPORT TANG TANGENT TAPERED TENSILE TENSION THICK THIN TORSION TRANSMISSION TRANSVERSE TRUSSES TUBES UNPRESSURIZED UNSTIFFENEO, UPRIGHT VESSEL WEB WIRE

ix

KEYWORD INDEX (continued)

ACCESS PARTIAL TENSIUN FIELD BEAMS WITH ACCESS HOLES RIVElS IN PARTIAL TENSION BEAMS WITH ACCESS HOLES UPRIGtITS UF PARTIAL TENSION FIELD BEAMS WITH ACCESS HOLES WEBS OF PAkTIAL TLNSION FIELD bLAMS WITH ACCESS HOLES ALLOWABLE ALLCJ.ABLE STRESSES IN THE UPRIGHTS OF A PARTIAL TENSION FILLD BEAM EMPIRICAL FURMULA FUR ALLOWABLE BEARING LUAU OF STEEL SPHERES IN CONTACT EMPIkICAL FuRMULAS FOR ALLOwAULL BEARING LOADS OF A CYLINDER ON A FLAT PLATE EMPIRICAL 1KEATMLo4T OF ALLOWAULc. BEARING LOADS ANALOGY ANALUGIEb FOR bLAHS IN TORSIOl MEMbRANE ANALOGY FOK BEAMS IN ELASTIC TORSIUN SAN6 HEAP ANALOGY FUR BEAMS IN PLASTIC TORSION ANALYSIS STRESSES IN TRANSMISSION SHAFTING ANALYSIS OF CoMBINEL ANALYSIS vP LUGS oITH LESS THAN 5 PCT ELONGATION ANALYSIS &F PLATES BAR ANALYSIS COLUMN ANALY5iS EXAMPLE OF UNIFURA AXIALLY LOADLD LUG ANALYSIS EXAMPLE PkObLEM OF LUG FATIGUE ANALYSIS INTRDOUCTIuN TO ANALYSIS OF PLATES INTRODUCTIuN TO BAR ANALYSIS INTROuUCTION 10 COLUMN ANALYSIS INTRODUCTION TO LuG ANALYSIS INTRODUCTION TO THE ANALYSIS OF BEAMS INTRODUCTION TU TRANSMIOSION SHAFT ANALYSIS LUG ANALYSIS LUG ANALYSIS NOME,4CLATURE LUG FATIGUE ANALYSIS NOMENCLATUKE FOR ANALYSIS OP PLATES NOMENCLATUkE FOR bAK ANALYSIS NOMENCLATUKE FOR COLUMN ANALYSIS FOR THE ANALYSIS OF BEAMS NOMENCLATURE NOMENCLATURE USED IN TRANSMISSION SHAFTING ANALYSIS SAMPLE ANALYSIS OF CIRCULAR TRANSMISSION SHAFTING SAMPLE PRObLEM-PLATh ANALYSIS TRANSMISSIuN SHAFTING ANALYSIS ANGLE CRIPPLING STRESS UF ANGLE ELEMENTS AND COMPLEX SHAPES ANISOTROPIC ANISOTROPIC PRESSURE VESSELS ARCHES CIRCULAR RiNGS AND ARCHES SAMPLE PRObLEM-CIRCULAR RINGS AND ARCHES AXIAL BEAM COLUMNS APPROXIMATL METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS AXIAL COMPHESSION OF CURVED PLATES AXIAL COMPRESSIUN OF FLAT PLATES AXIAL LUG DESIGN FOR PIN FAILURL AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE AXIAL LUG DESIGN FOR PIN FAILURE IN THE SHEARING MODE AX'IALLY LOADED LUG DESIGN BEARING STkENGTH OF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION BUCKLING OF STIFFENED FLAT PLATEO IN AXIAL COMPRESSION BUCKLING OF JNbTIFFENED FLAT PLATES IN AXIAL COMPRESSION BUSHING BEARING STRENGTH UNDER UNIFORM AXIAL LOAD BUSHING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD COMBINED LUG.BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD DISTRIBUTED AXIAL LOADS DOUBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD EXACT METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS . BEAM COLUMNS EXAMPLE OF AXIALLY LOADED LUG DESIGN EXAMPLE OF UNIFORM AXIALLY LOADED LUG ANALYSIS INTRODUCTION TO BEAMS UNDER COMNSNED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS LUG AND BUSHING STRENGTH UNDER ULIFORM AXIAL LOAD LUG BEARING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS LUG BEARING STRENGTH UNDER UNIFORM AXIAL LOAD LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR JOINT WITH LESS THAN 5 PCT ELONGATION LUG DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD LUG NET-SECTIDN STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG NET-SECTION STRENGTH UNDER UNIFORM AXIAL LOAD LUG TANG STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG-BUSHING DESIGN STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD NET-SECTION STRENGTH OF AXIALLY LOADED LUGS WITH LESS THAN s PCT ELONGATION PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD

1.3.3.14 1.3.3.17 1.3.3.16 1.3.3*15 1.3.3.6 11.7T2 11.701 11.7 1.5.3 1.5.3.1 1.5.3.2 10.4 9.15 6. 3I 2. 9.6 9.18 6.1 3.1 2.1 9.1 1-1 10.1 9. 9.2 9.17 6.2 3.2 2.2 1.2 10.2 10.6.1 6.10 to. 2.3.2.4 8.5 5.9 5.10 1.4.j 6.6 6.3 9.14.1 9.14.1.2 9.14.1.1 9.14 9.15.1 6.3.2 6.3.1 9.3.4 9.5.3 9.3.59.3.15 9,4 1.4.2 9014.1.3 9.6 1.4 9.3 9.501 9.3.l 9.15.4 9.3.3 9.5.2 9.3.2 9.4.4 9.4.1 9.15.2 9.4.3' 9.5.5 9.4.2 905v4

x


SAMPLE PRobLEM-BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS SINGLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD STRENGTH OF LUG TANGS IN AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION BAR BAR ANALYSIS BENDING LOADS ON BARS COMPRESSIVE LOADING OF BARS CYCLIC TENSILE LOADING OF BARS INTRODUCTION TO BAR ANALYSIS LACING BARS IN COLUMNS NOMENCLATURE FOR BAR'ANALYSIS SAMPLE PROBLEM - BAR UNDER CYCLIC TENSILE LOAD SAMPLE PROBLEM - dAk UNDER STATIC TENSILE LOAD STATIC TENSILE LOADING OF BARS TORSIONAL LOADING OF BARS BEAM ALLOWABLE STRESSES IN THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM ANALOGIES FOR BEAMS IN TORSION APPLICATION OF THE THREE MOMENT EQUATION TO SOLVING FOR THE REACTIONS ON CONTINUOUS BEAMS APPROXIMATE METHOD FOR BEAMS UNDER COMBINED AXIAL ANU TRANSVERSE LOADS . BEAM COLUMNS APPROXIMATE METHOD FOR BEAMS UNDER COMBINED AXIAL ANI TRANSVERSE LOADS - BEAM COLUMNS BEAM-SUPPORTED FLAT PLATES IN BENDING BEAMS CIRCULAR BEAMS IN TORSION COMPJTED STRESSES IN THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM CRIPPLING STRESS OF I BEAMS DESIGN CRITERIA FUR THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM EFFECT OF CUTOUTS ON CLOSED SINGLE CELL BEAMS IN TORSION EFFECT OF END RESTRAINT ON NONCIRCULAR BEAMS IN TORSION EFFECT OF STIFFENERS ON NONCIRCuLAR CLOSED BEAMS IN TORSION EFFECTIVE AREA OF THE UPRIGHT OF A PARTIAL TENSION FIELD BEAM ELLIPTICAL dEAMS IN TORSION ENDS OF PARTIAL TENSION FIELD BEAMS EXACT METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANbVERSE LOADS - BEAM COLUMNS EXACT METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS FLANGES OF PARTIAL TENSION FIELD BEAMS FLANGES OF STIFFENED SHEAR RESISTANT BEAMS INTRODUCTION TO BEAMS IN BENDING INTRODUCTIO14 TO BEAMS IN TORSION INTRODUCTION TO BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS INTRODUCTION TO BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS INTRODUCTION TO LATERAL INSTABILITY OF DEEP BEAMS IN BENDING INTROOUCTION TO PARTIAL TENSION FIELD BEAMS IN BENDING INTRODUCTION TO REACTION FORCES AND MOMENTS ON BEAMS UNDER TRANSVERSE LOADING INTRODUCTION TO SHEAR RESISTANT BEAMS IN BENDING INTRODUCTION TO SHEAR WEB BEAMS IN BENDING INTRODUCTION TO THE ANALYSIS OF BEAMS LATERAL INSTA6ILITY OF DEEP I BEAMS LATERAL INSTABILITY OF DEEP RECTANGULAR BEAMS IN BENDING MEMBRANE ANALOGY FOR BEAMS IN ELASTIC TORSION MOMENT OF INERTIA OF THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM MULTICELL CLOSED dEAMS IN TORSION NOMENCLATURE FOR THE ANALYSIS OF BEAMS NONCIRCULAR BEA44S IN TORSION NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION NONCIRCULAR CLOSED BEANS IN TORSION NONCIRCULAR OPEN dEAMS IN TORSION NONCIRCULAR OPEN BEAMS WITH VARIOUS CROSS SECTIONS IN TORSION NONUNIFORM CIRCULAR BEAMS IN TORSION PARTIAL TENSION FiELD BEAMS WITH ACCESS HOLES REACTION FORCES AND MOMENTS ON BEAMS WITH BOTH ENDS FIXED REACTION FORCES AND MOMENTS ON BEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT REACTION FORCES AND MOMENTS ON CONTINUOUb BEAMS RECTA14GULAR BEAMS IN TORSION RIVETS AT THE ENDS OF PARTIAL TENSION FIELD BEAMS RIVETS IN PARTIAL TENSION BEAMS WITH ACCESS HOLES RIVETS IN PARTIAL TENSION FIELD BEAMS RIVETS IN SHEAR RESISTANT BEAMS SAMPLE PROBLEM - NONCIRCULAR CLOSED STIFFENED UNIFORM SECTION BEAM IN TORSION SAMPLE PROBLEM - REACTIONS ON BEAM WITH ONE. FIXED AND ONE PINNED SUPPORT SAMPLE PROBLEM - REACTIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EQUATION SAMPLE PROBLEM-BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS SAMPLE PROBLEM-CIRCULAR BEAMS IN TORSION SAMPLE PRUBLEM-MULTICELL CLOSED BEAMS IN TORSION SAMPLE PRObLEM-NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION SAMPLE PRobLEM-PARTIAL TENSION FIELD BEAMS SAMPLE PRuOLEM-SIMPLE BEAMS IN ELASTIC BENDING SAMPLE PROBLEM-SIMPLE BEAMS IN PLASTIC BENDING SAMPLE PROBLEM-STIFFENED SHEAR RESISTANT BEAMS SAND HEAP ANALOGY FOR BEAMS IN PLASTIC TORSION

1.4.3 9.5 9.15,3 3. 3.8 3.7 3.5 3.1 3.10 3.2 3.6 3.4 3.3 3.9 1.3.3.6 1.5.3 1.3.4.5 194.1 1.4.1 6.4.2 I. 1.5.1 1.3.3.5 2.3.2.6 1.3.3.3 1#5.2.2.6 1o5.Z,3 1.5.2.2.4 193#3.Z 1.502.11 103*39 1.4.2 194.2 1.3.397 1.3.2.4 1.3 1.5 1.4 1.4 1.3.1.5 1.3.3 1.3.4 1.3.2.1 1.3.2 lot 4.3.1.7 1*3.1.6 15..3.1 1.3.3.4 1.5..2.7 1.2 1.5.9 1.3.2.1.3 1.5.2.2 1.5.2.1 1.5.2.1.5 1.5.1.2 1.3,3.14 1.3.4*3 1.3.4*1 1.3.4.4 1.5.2.1.2 1.30..12 1.3.3.17 1.3.3.8 1.3.2.6 1.5.2.2.5 1*3.4.2 1.3.4o6 1.4.3 1.5.1.3 1.5.2.2.o 1.5.2.1.4 1.3.3.1 1.3.1.2 1.3.t*4 1.392*7 1*5.3.2

xi

KEYWORD INDEX (continued)SIMPLE BEAMS IN BENDING 1.3.1 SIMPLE BEAMS IN ELASTIC BENDING 1.3.11 SIMPLE BEAMS IN PLASTIC BENDING 1.3.193 SINGLE CELL NONCIRCULAR CLOSED BEAMS IN TORSION 1.5.2.24 SINGLE CELL NONCIRCULAR CLOSED BEAMS WITH UNIFORM CHOSS SECTION IN TORSION 1.5.2.2 SINGLE CELL NONCIRCULAR TAPERED CLOSED BEAMS IN TORSION 1.5.2.2.3 STIFFENED SHEAR RESISTANT BEAMS IN BENDING 1.3.2.3 STIFFENER-1U-FLANGE RIVETS IN SHEAR RESISTANT BEAMS 1.3.2.6.3 UNIFORM CIRCULAR BEAMS IN TORSION 1.5.1.1 UNSTIFFENED SHEAR RESISTANT BEAMS IN BENDING 1.3.2.2 UPRIGHT-Tu-FLANGE RIVETS IN A PARTIAL TENSION FIELD BEAM 1.3.3.8.3 UPRIGHTS AT THE ENDS OF PARTIAL TENSION FIELD BEAMS 1.3.3.11 UPRIGHTS OF PARTIAL TENSION FIELD BEAMS WITH ACCESS HOLES 1.3.3.16 WEB-TO-FLANGE RIVETS IN A PARTIAL TENSION FIELD BEAM 1.3.38 WEB-TO-FLANGE RIVETS IN SHEAR RESISTANT BEAMS 1.3.2.8.1 WEB-TO-STIFFENER RIVETS IN'SHEAR RESISTANT BEAMS 1.3.2.6.2 WEB-TO-UPRIGHT RIVETS IN PARTIAL TENSION FIELD BEAM 1.3.3.8.2 WEBS AT THE ENDS OF PARTIAL TENSION tIELD BEANS 13,3.10 WEBS OF PARTIAL TENSION FIELD BEAMS 1.3.3.1 WEBS OF PARTIAL TENSION FIELD BEAMS WITH ACCESS HOLES 1.3.135 WEBS OF STIFFENED SHEAR RESISTANT BEAMS 1.3205 BEARING BEARING STRENGTH OF AXIALLY LOADED LUGS WITH LESS THAN S PCT ELONGATION 9.1501 BEARING STRENGTH OF TRANSVERSELY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION 9.15e5 BEARING STRESSES 11. BEARI,4G STRESSES IN RIVETED CONNECTIONS 11*3 BUSHING BEARING STRENGTH UNDER'UNIFoRM AXIAL LOAD 9.3.4 EMPIRICAL FURMULA FOR ALLOWABLE BEARING LOAD OF STEEL SPHERES IN CONTACT 1T.7*2 EMPIRICAL FURMULAS FOR ALLOWABLE BEARING LOADS OF A CYLINDER ON A FLAT PLATE 11.7.1 EMPIRICAL TREATMENT OF ALLOWABLE BEARING LOADS 11.7 INTRODUCTION TO BEARING STRESSES 11.1 LUG BEARING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS 9.5.1 LUG BEARING STRENGTH UNDER UNIFORM AXIAL LOAD 9.3.1 NOMENCLATURE FOR BEARING STRESSES 11.2 SAMPLE PROBLEM - BEARING STRESSES IN RIVETED CONNECTIONS 11.4 BENDING AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE 9.14.1.2 BEAM-SUPPORTED FLAT PLATES IN BENDING 6.4.2 BENDING FAILURE OF CONCENTRICALLY LOADED LONG COLUMNS 2.).1.3 BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS 243.1011 BENDING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS 2.4.1.7 BENDING FAILURE OF ECCENTRICALLY LOADED SHORT COLUMNS 2.3.1.11.8 BENDING FAILURE OF SHORT COLUMNS 2.3.1.10 BENDING LOADS ON BARS 3.8 BENDING OF FLAT PLATES 6.4 CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING 0.3.1.5.2.2 CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN BENDING 8S*3019.2 CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLINDERS IN BENDING 6.3.1.52o.l INTRODUCTION TO BEAMS IN BENDING 1.3 INTRODUCTION TO LATERAL INSTABILITY OF DEEP BEAMS IN BENDING 1.3.1.5 INTRODUCTION TO PARTIAL TENSION FIELD BEAMS IN BENDING 1.3.3 INTRODUCTIUN TO SHEAR RESISTANT BEAMS IN BENDING 1.3.2.1 INTRODUCTION TO SHEAR WEB BEAMS IN BENDING 1.3.2 LATERAL INSTABILITY OF DEEP RECTANGULAR BEAMS IN BENDING 1.3.1.6 PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD 9o4.3 PIN BENDING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD 9.5.5 SAMPLE PROBLEM - CONCENTRICALLY LOADED LONG COLUMN IN BENDING 2.3.1.6 SAMPLE PRobLEM - CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING 8.3.1,.4.el SAMPLE PROBLEM - ECLENTRICALLY LOADED SHORT COLUMN IN BENDING 2.3.1,11.9 SAMPLE PROBLEM-SIMPLE BEAMS IN ELASTIC BENDING 1.3.T02 SAMPLE PROBLEM-SIMPLE BEAMS IN PLASTIC BENDING 1.3.1.4 SIMPLE bEAMS IN 1ENDING 103.1 SIMPLE BEAMS IN ELASTIC BENDING 1.3.1.1 SIMPLE BEAMS IN PLASTIC BENDING 1.3.1.3 STIFFENED SHEAR RESISTANT BEAMS IN BENDING 1.3.2. UNSTIFfLENED FLAT PLATES IN BENDING 6.4.1 UNSTIFFENED SHEAR RESISTANT BEAMS IN BENDING 1.3.2.2 BUCKLING BUCKLING OF OBLIQUE PLATES 6.9 BUCKLING OF SANDWICH PANELS 6.11 BUCKLING OF STIFFENED FLAT PLATES IN AXIAL COMPRESSION 6.3.2 BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE 8.3.1.3.1 BUCKLING OF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSURE $.3.1.3 BUCKLING GF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE 8.3.1.3#2 BUCKLING OF UNSTIFFENED FLAT PLATES IN AXIAL COMPRESSION 6.3.1 SAMPLE PRObLEM - BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE 0.3.1.3.1.1 SHEAR BUCKLING OF FLAT PLATES 6.5 BUSHING BUSHING BEARING STRENGTH UNDER UNIFORM AXIAL LOAD 9.3.4 BUSHING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD 90.3

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BUSHING STkENGTH UNDER OBLIQUE LOAD BUSHING STRENGTH UNDER TRANSVERSE LOAD LUG AND BUSHING STRENGTH UNDER OBLIQUE LOAD LUG'AND BUSHING STRENGTH UNDER TRANSVERSE LOAD LUG AND BUSHING STRENGTH UNDER UNIFORM AXIAL LOAD LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR JOINT wITH LESS THAN 5 PCT ELONGATION STRESSES DUE TU PRESS FIT BUSHINGS CELL EFFECT OF CUTOUTS ON CLOSED SINGLE CELL BSAMS IN TORSION SINGLE CELL NONCIRCULAR CLOSED BEAMS IN TORSION SINGLE CELL NONCIRCULAR CLOSED bEAMS WITH UNIFORM CROSS SECTION IN TORSION SINGLE CELL NONCIRCULAR TAPERED CLOSED BEAMS IN TORSlON CIRCULAR CIRCULAR BEAMS IN TORSION CIRCULAR MEMBRANES CIRCULAR RINGS AND ARCHES DESIGN PROCEDURE FOR'CIRCULAR TRANSMISSION SHAFTING GENERAL DESIGN EQUATION FOR CIRCULAR TRANSMISSION SHAFTING LOADINGS ON CIRCULAR TRANSMISSION SHAFTING NONUNIFORM CIRCULAR BEAMS IN TORSION SAMPLE ANALYSIS OF CIRCULAR TRANSMISSION SHAFTING SAMPLE PROBLEM - CIRCULAR MEMBRANES UNIFORM CIRCULAR BEAMS IN TORSION CLOSED EFFECT OF CUTOUTS ON CLOSED SINGLE CELL BEAMS IN TORSION EFFECT OF STIFFENERS ON NONCIRCULAR CLOSED aEAMS IN 1ORSION MULTICELL CLOSED BEAMS IN TORSION NONCIRCULAR CLOSED BEAMS IN TORSION SAMPLE PROBLEM - NONCIRCULAR CLOSED STIFtENED UNIFORM SECTION BEAM IN TORSION SAMPLE PROBLEM-MULTICELL CLOSED BEAMS IN TORSION CLOSED BEAMS IN TORSION SINGLE CELL NONCIRCULAR CLOSED bEAMS WITH UNIFORM CROSS SECTI.ON IN TORSION SINGLE CELL NONCIRCULAR SINGLE CELL NONCIRCULAR TAPERED CLOSED BEAMS IN TORSION COEFFICIENT COEFFICIENT OF CONSTRAINT FOR END LOADED COLUMNS COLUMN APPROXIMATE METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE'OF ECCENTRICALLY LOADED SHORT COLUMNS .,2*.10O BENDING FAILURE OF SHORT COLUMNS COEFFICIENT OF CONSTRAINT FOR END LOADED COLUMNS ANALYSIS COLUMN COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS COLUMN DATA APPLICABLE TO.BOTH LONG AND SHORT COLUMNS COMPLEX COLUMNS EQUIVALENT ECCENTRICITY FOR IMPERFECT COLUMNS EXACT METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS . BEAM COLUMNS BEAM COLUMNS INTRODUCTION TO BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS INTRODUCTION TO COLUMN ANALYSIs "INTRODUCTION TO CRIPPLING FAILURE OF COLUMNS LACING BARS IN COLUMNS LATTICED COLUMNS NOMENCLATURE FOR COLUMN ANALYSIS PRIMARY FAILURE OF SIMPLE COLUMNS SAMPLE PROBLEM - COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PROBLEM - COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PROBLEM - CONCENTRICALLY LOADED LONG COLUMN IN BENDING SAMPLE PROBLEM - ECCENTRICALLY LOADED SHORT COLUMN IN BENDING SAMPLE PROBLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EUUIVALENT ECCENTRICITY SAMPLE PRuBLEM - STEPPED COLUMN SAMPLE PROBLEM - TORSIONAL FAILURE OF SIMPLE COLUMNS SAMPLE PROBLEM - USE OF STRAIGH1 LINE EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PROBLEM - USE OF TANGENT MODULUS EQUATION FUR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PRobLEM-BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS SIMPLE COLUMNS STEPPED AND TAPERED COLUMNS TORSIONAL FAILURE OF SIMPLE COLUMNS COMBINED ANALYSIS OF COMBINED STRESSES IN TRANSMISSION SHAFTING APPROXIMATE METHOD FOR BEAMS UNUER COMBINED AXIAL ANU TRANSVERSE LOADS - BEAM COLUMNS COMBIN4ED LUG-BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD CURVED PLATES UNDER COMBINED LOADING$ EXACT METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS FLAT PLATES UNDER COMBINED LOADINGS INTRODUCTION TO BEAMS UNDER COMOINED AXIAL AND TRANSVERSE LOADS . BEAM COLUMNS PLATES UNDER COMBINED LOADINGS SAMPLE PRuBLEM-BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS

9#10.2 9.7.2 9.10 9.7 9.3 9.15.4 9.16 1.5.2.2.6 1.5.2.2.1 1.5.2.2.2 1.5.2.2.3 1.5.1 7*3 5.9 10.6 1006.z 1003 105.12 106.1 ?e4 1.5.1.1 1.502.2.6 1.5,2.2.4 1.5.2.Z0. 1.5.2.2 1.5.2.2.5 1.5.2.20 195,20201 10502.2. 1*502.29) 203.1.4 1.4#1 2*3.1.3 2.31.1.3 2.3.1.7 2.*3.1.710 20*,.4 2. 206.1 2.3.1.1 2*4 2.30148 2.43. 1.4 1.4 20.2 3.10 3.413 2.3 2.301 23.162 2.3.1.2 2.3.1.6 2.3.3 1 .6 2.3.1.9 2.4.2 2.3.1.13 2.3.1.11.6 2.3.1.11.2 1.4.3 2*3 2*4.1 2.4.12 10.4. 104*1 9.3,5 6.0.Z 1.4.2 608.1 4 .. 61. [email protected]

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COMPLEXCOMPLEX COLUMNS

CRIPPLING STRESS uF ANGLE ELEMENTS AND COMPLEX SHAPES SAMPLE PROBLEM - CRIPPLING STRESS OF A COMPLEX SHAPE CONCENTRICALLY BENUING FAiLJRE OF CONCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PRobLEM - CONCENTRICALLY LOADED LONG COLUMN IN BENDING SAMPLE PROBLEM - USE OF STRAIGHT LINE EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PROBLEM - USE OF TANGENT MODULUS EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS CONICAL DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH CONICAL HEADS SAMPLE PRobLEM ISCONTINUITY STRESSES IN PRESSURE VESSELS WITH CONICAL HEADS CONNECTIONS BEARING STRESSES IN RIVETED CONNECTIONS MULTIPLE SHEAR AND SINGLE SHEAR CONNECTIONS SAMPLE PROBLEM - BEARING STRESSES IN RIVETED CONNECTIONS CONSTRAI14T COEFFICIENT OF CONSTRAINT FOR END LOADED COLUMNS CONTACT ELASTIC STRESSES AND DEtORMATION OF VARIOUS SHAPLS IN CONTACT EMPIRICAL FORMULA FOR ALLOIABLE BEARING LOAD OF STEEL SPHERES IN CONTACT CONTINUOU5 APPLICATION OF THE THREE MOMENT EUUATION TO SOLVING FOR THE REACTIONS ON CONTINUOUS BEAMS REACTION FOMCES AND MOMENTS ON LONTINUOUb BEAMS SAMPLL PROBLEM - REACTIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EQUATION CRIPPLING CRIPPLING FAILURE OF FLAT STIFFENED PLATES IN COMPRESSION CRIPPLING STRESS uF ANGLE ELEME14TS AND COMPLEX SHAPES CRIPPLING STRESS uF I BEAMS CRIPPLING STRESS OF OUTSTANDING FLANGES CRIPPLING STRESS OF PRESSURIZED AND UNPRESSURIZED THIN SIMPLE CYLINDERS CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING 5TRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF ROUND TUBES CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLINDERS IN $ENDING CRIPPLING STRESS oF UNPRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLI!NDERS IN TORSION INTERACTION FORMULAS FOR THE CRIPPLING OF PRESSURIZED AND UNPRESSURIZED CYLINDERS INTRODUCTION TO CRIPPLING FAILURE OF COLUMNS SAMPLE PROBLEM . CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING SAMPLE PROBLEM - CRIPPLING STRESS OF A COMPLEX SHAPE SAMPLE PROBLEM - CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION SAMPLE PROBLEM - CRIPPLING STRESS OF ROUND TUBES CRITERIA DESIGN CRITERIA FOR THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM CRITICAL CRITICAL EFFECTIVE SLENDERNESS RATIO CR OSS NONCIRCULAR OPEN BEAMS WITH VARIOUS CROSS SECTIONS IN TORSION SINGLE CELL NONCIRCULAR CLOSED 0AMS WITH UNIFORM CROSS SECTION IN TORSION CURVED AXIAL COMPRESSION OF CURVED PLATES CURVED PLATES UNDER COMBINED LOADINGS SHEAR LOADING OF CURVED PLATES CUTOUTS EFFECT OF CUTOUTS ON CLOSED SINGLE CELL BEAMS IN TORSION CYLINDER BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE CRIPPLING STRESS OF PRESSURIZED AND UNPRESSURIZED THIN SIMPLE CYLINDERS CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS oF SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS oF UNPRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLINDERS IN TORSION DISCONTINUITY STRESSES AT JUNCTION OF THIN CYLINDRICAL PRESSURE VESSEL AND HEAD DISCONTINUITY STRESSES AT THE JUNCTION OF A THIN CYLINDRICAL PRESSURE VESSEL AND ITS HEAD DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH CONICAL HEADS DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH FLAT HEADS EMPIRICAL FORMULA5 FOR ALLOWABLE BEARING LOADS OF A CYLINDER ON A FLAT PLATE HEADS OF THIN CYLINDRICAL PRESSURE VESSELS INTERACTION FORMULAS FOR THE CRIPPLIN4 OF PRESSURIZED AND UNPRESSURIZED CYLINDERS MEMBRANE STRESSES IN HEADS OF THIN CYLINDRICAL PRESSURE VESSELS

2.4

2:3:2:4 2.3.2.5 2.3.1.3 2.3.1.11 2.3.1.6 2.3.1.11.6 2.3.1.11.2 8.3.1.2.2.4 6.3.1.2.. 11.3 9.13 11@4 2.3.1.4 11.5 11.7#2 1.3.4.5 4.3.4.4 1.3.4.6 6.3.3 2.3.2.4 2.3.2.6 203.2.3 8.3.1.5 86.3.105.Z.2 8.3.1.5.1.4 8.3.1*5.3.2 2.3.2.1 8.3.1.5.2 8.3.1.5.1 8.3.1.5.3 8.0.1.542.1 6.3.1.5.1.t 8.3.1.50301 6.*31.5.4 2.3.2 803.1.5.4.1 2.3.2.5 6.3.1.5.3.2.1 2.3.*.2 1*3.3.3 2.3.1.11.! 1.5.2.1.5 l.5.2.2.2 6.8 6*602 9T 195.2e2.6 4030103.1 6.3.1.5 6.3.105.2.2 6.3.1o5.02 6.3.1.53.4 6.3.50.2 6.3.1.5. 5.3.1.5.3 8.3.150.2.1 6.301.501.1 6.3.1.4.3.1 6.3.1.2.2.2 6.3.1.Ze2 .e1.*2.2o.4 6.3.1.2.2.3 11.7.1 6.3.1.2 6.3.1.5.4 8634142.1

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MEMBRANE STRESSES IN THIN CYLINDERS SAMPLE PRObLEM - BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE SAMPLE PROBLEM - CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING SAMPLE PROBLEM - CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION SAMPLE PROBLEM - DISCONTINUITY FORCES IN CYLINDRICAL PRESSURE VESSELS WITH DISHED HEADS SAMPLE PROBLEM - ELASTIC STWESS AND DEFORMATION OF CYLINDER ON CYLINDER SAMPLE PROBLEM - ELASTIC STMESS AND DEFORMATION OF CYLINDER ON CYLINDER SAMPLE PROBLEM - MEMBRANE STRESSES IN THIN CYLINDERS AND SPHERES SAMPLE PROBLEM - STIFFENED THIN CYLINDRICAL PRESSURE VESSEL WITH INTERNAL PRESSURE SAMPLE PROBLEM - THICK CYLINDRICAL PRESSURE VESSEL SAMPLE PROBLEM - THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE STRESSES IN SIMPLE CYLINDRICAL PRESSURE VESSELS DUE TO SUPPORTS THICK CYLINDRICAL PRESSURE VESSELS THICK CYLINDRICAL PRESSURE VESSELS UNDER EXTERNAL PRESSURE ONLY THICK CYLINDRICAL PRESSURE VESSELS UNDER INTERNAL PtESSURE ONLY THIN CYLINDRICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE (STRINGERS OPTIONAL) THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE DATA DEEP COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PRobLEM - COLUMN DATA APPLICAdLE TO BOTH LONG AND SHORT COLUMNS

8.3,1.i.1 8.3.1.3.ld 8.3.1.5.4.1 6.3.1.5.3.2.1 6.3.1.2.2.2.1 11.6 11.6 8.301.1.3 8.3.2.2.1 8.4.1,3 8.3.2.1.1 8.3.1.4 8.4.1 8.4.1.2 8.4.1.1 8.3.2.2 8.3.2.1 2.3.1.1 2.3.1.2 1.3.1.5 1.3.1.7 1.3o1.6 4.3.6 11.5 11.6 9.14.1 9.14.1.2 9.l4.1.1 9.14 9.3.5 1.3.3.3 10.6 10.5 9.14.193 10.6.Z 9.3.3 9.4.1 493.Z 4A3.4 4.3.6 4.3.1 4,3,5 4.3.3 4,3.7 4,3, 8.3.1.2.2., 8.3,1.2.2 8.3.1.2.2.4 8.3.1.2.2.3 8.3.1.2.2.1 8.3.1.2.2.Z.1 8.3.1.2,2.4. 8.3.1.2.23.1 8.3.1.2.2.2.1 2.3.1.5 5.4 5.3 9.4 9.11 9.8 9.4,4 9.4.1 9.4.3 9.4.2 2.3.1.7 2.3.1.110b 2.3.1.8

INTRUOUCTILUN TO LATERAL INSTAdILITY OF DEEP BEAMS IN BENDING LATERAL INSTABILITY OF DEEP I BEAMS LATERAL INiTABILITY OF DEEP RECTANGULAR BEAMS IN BENDING DEFLECTIONS DEFLECTIONS IN STATICALLY DETERMINATE TRUSSES DEFORMATIO14 ELASTIC STRESSES AND DEFORMATION OF VARIOUS SHAPES IN CONTACT SAMPLE PRi-bL.M - ELASTIC STRESS AND DEFORMATION OF CYLINDER ON CYLINDER DESIGN AXIAL LuG WESIGN FOR PIN FAILURE AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE AXIAL LUG UESIGN FOR PIN FAILURE IN THE SHEARING MODE AXIALLY LOADED LUG DESIGN COMBIAED LUG-BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD "DESIGIN CRITERIA FOR THE UPRIGHTS OF A PARTIAl TENSION FIELD BEAM DESIGN PRuCEDURE FOR CIRCULAR TRANSMISSION SHAFTING DESIGN STRLSSES AND LOAD VARIATIONS FOR TRANSMIbSION SHAFTING EXAMPLE OF AXIALLY LOADED LUG DESIGN GENERAL DESIGN EQUATION FOR CIRCULAR TRANSMISSION SHAFTING LUG DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD LUG-BUSHIi.G DESIGiI STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD DETERMINATL APPLICATION OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES APPLICATIUN OF THE METHOD OF SECTIONS TO STATICALLY DETERMINATE TRUSSES DEFLECTIONS IN STATICALLY DETERMINATE TRUSSES INTRODUCTION TO STATICALLY DETERMINATE TRUSSES SAMPLE PRobLEM - STATICALLY DETERMINATE TRUSSES BY THE METHOD OF SECTIONS SAMPLE PRObLEM-APPLICATION OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES SAMPLE PRObLEM-DEFLECTIONS AN STATICALLY DETERMINATE TRUSSES STATICALLY DETERMINATE TRUSSES DISCONTINUITY DISCONTINUITY STRESSES AT JUNCTION'OF THIN CYLINDRICAL PRESSURE VESSEL AND HEAD DISCONTINUITY STRESSES AT THE JUNCTION OF A THIN CYLINDRICAL PRESSURE VESSEL AND ITS HEAD DISCuNTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELb WITH CONICAL HEADS DISCONTINUITY bTkESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH FLAT HEADS INTRODUCTIUN TO DISCONTINUITY STRESSES SAMPLE PRobLEM - uISCONTINUITY FOkCES IN CYLINDRICAL PRESSURE VESSELS WITH DISHED HEADS SAMPLE PROBLEM - QIbCONTINUITY STRESSES IN PRESSURE VESSELS WITH CONICAL HEADS SAMPLE PRObLE? ISCONTINUITY bTRESSES IN PRESSURE VESSELS WITH FLAT HEADS DISHED SAMPLE PROBLEM - DISCONTINUITY FORCES IN CYLINDRICAL PRESSURE VESSELS WITH DISHED HEADS DISTRIBUTED DISTRIBUTED AXIAL LOADS DISTRIBUTION SAMPLE PROULEM-SOLUTION OF FRAMES BY THE METHOD OF MOMENT DISTRIBUTION SOLUTION uF FRAMES BY THE METHOD OF MOMENT DISTRIBUTION DUUBLE DOUBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD DOUBLE SHEAR JOINTS UNDER OBLIuuE LOAD DOUBLE SHLAR JOINTS UNDER TRANSVERSE LOAD LUG TANG STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAU LUG-BUSHIfb UESIG,, STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD ECCENTRICITY BENOING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED SHORT COLUMNS EQUIVALENT ECCENTRICITY FOR IMPERFECT COLUMNS

'v


SAMPLE PRObLEM - ECCENTRICALLY LOADED SHORT COLUMN IN BENDING SAMPLE PROBLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EQUIVALENT ECCENTRICITY SAMPLE PROBLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EQUIVALENT ECCENTRICITY EFFECTIVE CRITICAL EFFECTIVE SLENDERNESS RATIO EFFECTIVE AREA OF THE UPRIGHT oF A PARTIAL TENSION FIELD BEAM ELASTIC ELASTIC STRESSES AND DEFORMATION OF VARIOUS SHAPES IN CONTACT MEMBRANE ANALUGY FOR BEAMS IN ELASTIC TORSION SAMPLE PROBLEM - ELASTIC STRESS AND DEFORMATION OF CYLINDER ON CYLINDER SAMPLE PRUBLER-SIMPLE bEAMS IN ELASTIC BENDING SIMPLE BEAMS IN ELASTIC BENDING ELLIPTICAL ELLIPTICAL 6EAMS IN TORSION ELONGAT ION ANALYSIS oF LUGS wITH LESS THAN 5 PCT ELONGATION BEARING STRENGTH uF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT.ELONGATION BEARING STRENGTH OF TRANSVERSELY LOADED LUGS WITH LESS THAN S PCT ELONGATION LUG BUSHItr. STRENGTH IN AXIALLY LOADED SINGLE SHEAR JOINT WITH LESS THAN 5 PCT ELONGATION NET-SECTIoN STRENGTH OF AXIALLY LOADED LOGS WITH LESS THAN 5 PCT ELONGATION STRENGTH OF LUG TAN(S IN AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION EMPIRICAL EMPIRICAL FORMULA FUR ALLOWABLE BEARING LOAD OF STEEL SPHERES IN CONTACT EMPIRICAL FORMULAS FOR ALLOWABLE BEARING LOADS OF A CYLINDER ON A FLAT PLATE EMPIRICAL TREATMENT OF ALLOWABLL BEARING LOADS END COEFFICIENT OF CONSTRAINT FOR END LOADED COLUMNS EFFECT OF END RESTRAINT ON NONCIRCULAR BEAMS IN TORSION ENDS OF PARTIAL TENSION FIELD BEAMS REACTION FORCES AND MOMENTS ON BEAMS WITH BOTH ENDS FIXED REACTION FORCES AND MOMENTSON BEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT RIVETS AT THE ENDS OF PARTIAL TENSION FIELD BEAMS UPRIGHTS AT THE ENDb OF PARTIAL TENSION FIELD BEAMS WEBS AT THE ENUS OF PARTIAL TENSION FIELD BEAMS EQUATION APPLICATION OF THE THREE MOMENT EQUATION TO SOLVING FOR THE REACTIONS ON CONTINUOUS BEAMS GENERAL DESIGN EUUATION FOR CIRCULAR TRANSMISSION SHAFTING JOHNSON-EULER EGUATION REDUCED MOUULUS EoUATION SAMPLE PRObLEM - REACTIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EQUATION SAMPLE PRobLEM - USE OF STRAIGH1 LINE EOUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLL PRObLEM - USE OF TANGENT MODULUS EGUATION FUR CONCENTRICALLY LOADED SHORT COLUMNS STRAIGHT LINE EQUATION TANGeNT MOUULUS EuUATION EaUIVALENT EQUIVALENT ECCENTRICITY FOR IMPLRFECT COLUMNS SAMPLE PRObLEM - LONG ECCENTRICALLY LOADED COLUMNS ANO EQUIVALENT ECCENTRICITY EXACT EXACT METHOD FUR BEAMS UNDER CUMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS EXTERNAL BUCKLING oF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE BUCKLING UF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSURE BUCKLING OF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE SAMPLE PROBLEM - BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE THICK CYLINDRICAL PRESSURE VESSELS UNDER EXTERNAL PRESSURE ONLY FAILURE AXIAL LUG DESIGN FOR PIN FAILURE AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE AXIAL LUG DESIGN FOR PIN FAILURE IN THE SHEARING MODE BENUING FAILURE OF CONCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF ECCENTRICALLY LUAOED SHORT COLUMNS BENDING FAILURE OF SHORT COLUMNS CRIPPLING FAILURE OF FLAT STIFFENED PLATES IN COMPRESSION INTRODUCTION TO CRIPPLING FAILURE OF COLUMNS PRIMARY FAILURE OF SIMPLE COLUMNS SAMPLE PRObLEM - TORSIOiAL FAILURE OF SIMPLE COLUMNS TORSIONAL FAILUkR OF SIMPLE COLUMNS FATIGUE EXAMPLE PHUBLEM uF LUG FATIGUE ANALYSIS LUG FATIGUE ANALYSIS FIELD ALLOWABLE STRESSES IN THE UPRIGHTS uF A PARTIAL TENbIUN FIELD BEAM COMPUTED STRESSES IN THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM DESIGs CRITtRIA FUR THE UPRIGHTS OF A PARTIAl TENSION FIELD BEAM EFFECTIVE AREA OF THE UPRIGHT OF A PARTIAL TENSION FIELD BEAM ENDS OF PARTIAL TENSION FIELD bEAMS FLANGES OF PARTIAL TENSION FIELU BEAMS INTkOJUCTIUN TO PARTIAL TENSION FIELD BEAMS IN BENDING

2.3.1.11.9 2.3.1.9 2.3.1.9 2.3.1.11.t 1.3.3.2 11.5 1.5.3.1 11.6 1.3.1.2 1.3.1.1 1.5a. 1.1 9.15 9.15.1 9.15.5 9.1j54 9.15.2 9.153 11.7.2 11.711 11.7 2.3.1.4 1.5.2.3 1.3.3.9 1.3.4.3 1.3.4.1 1.3.3.12 1.3.3.11 1.3.3.10 1.3.4.5 10.6.2 2.3.1.11.4 2.3.1.11.3 1.3.4.6 2.3.1.11.0 2.3.l.11.4 2.3.1.11.5 2.3.1.11.1 2.3.1.8 2.3.1.9 1.4.2 8.3.1.3.1 8.3.1.3 8.3.1.3.Z 8.3.1.3.1.1 8.4.1.2 9.14.1 9.14.1.2 9.14.L...1 2.3.1.3 2.3.1.11 2.3.1.7 2#3.1.11.8 2.3.1.10 6.3.3 2.3.2 2.3.1 2.3.1.13 2.3.1.12 9.18 9.17 1.3.3.6 1.3.3.5 1.3.3.3 1.3.3.2 1.3.3.9 1.3.3.7 I.3.3

xvi

KEYWORD INDEX (continued)103.3.4 1.3.3.o4 1.33.12 1.3.3.8 1*3.3o.3 1*3.3oboz 1.3.3.11 1.343.16 1.3.3.8.1 1.3.3.8.2 1.3.3.10 1.303.1 1.3.3.15 9.18

dEAM OF A PAkTIAL TENSIUN FIELD MOMNIIT OF INERTIA OF THE UPRIGHTS ACCESS HULES FIELD BEAMS WITH PARTIAL TtNSIUN TENSION FIELD BEAMS RIVETS AT THE END5 OF PARTIAL BEAMS RIVETS IN PARTIAL TENSION FIELD FIELD BEAMS SAMPLL PRUBLEM-PARTlAL TENSION A PARTIAL TENSION FIELV bEAM UPRIGHT-Tv-FLANGE RIVETS IN FIELD BEAMS AT THE ENDS OF PARTIAL TENSION UPRIGHTS FIELD BEAMS WITH ACCESS hULES UPRIGHTS uF PANTIAL TENSION TENSIUh FIELD BEAM WEB.TO-FLANGE RIVETS IF A PARTIAL TENSION FIELD BEAM WEB.TO-UPRIgHT RIVETS IN PARTIAL TENSION FIELU BEAMS WEBS AT Th-'EENDS OF PARTIAL BEAMS WEBS oF PAMTIAL TENSION FIELD bEAMS WITH ACCESS HOLES WEBS OF PARTIAL TENSION FIELD FIT BUSHINGS FIT DUE TO PRESS STRESSES ENDS FIXED FIXED bEAMS WITH BOTH AND MOMENTS ON ANO ONE PINNED SUPPORT REACTION FORCES ON bEAM5 0ITH ONE FIXED END REACTION FORCES AND MOMENTS FIXED AND ONE PINNED SUPPORT - REACTIONS ON bLAM WITH ONE SAMPLE PRObLEM FLANGES FLANGES CRIPPLING STRESS OF OUTSTANDING FIELU BEAMS FLANGES OF PARTIAL TENSION SHEAR RESISTANT aEAMS FLANGES OF STIFFENED AXIAL COMPkLSSION OF FLAT PLATES IN BENDING' BEAM-SUPPGHTED FLAT PLATES BENDING OF FLAT PLATES FLAT PLATES IN AXIAL COMPRLSSION BUCKLING OF STIFFENED PLATES IN AXIAL COMPRESbION IN COMPRESSION BUCKLING UF UNSTIFFENED FLAT STIFFENED PLATES FAILURE OF FLAT CRIPPLING WITH FLAT HEADS DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS ON A FLAT PLATE BEARING LOADS OF A CYLINDER EMPIRICAL FORMULAS FOR ALLOWABLt UNDER COMBINED LOADINGS FLAT PLATES FLAT HEAUS STRESSES IN PRESSURE VESSELS WITH SAMPLE PROBLEM - DISCONTINUITY SHEAR BUCKLING OF FLAT PLATES BENDING UNSTIFFENEO FLAT PLATES IN TRANSVERSE LOADING AND MOMENTS ON BEAMS UNDER INTRODUCTIUN To REACTION FORCES WITH BOTH ENDS FIXED FORCES AND MOMENTS ON DEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT REACTION ON BEAMS REACTION FORCES AND MOMENTS BEAMS FORCES AiDD MOMENTS ON CONTINUOUS CYLINDRICAL PRLSSURE VESSELS WITH DISHED HEADS REACTION FORCES IN SAMPLE PROBLEM - UISCONTINUITY IN CONTACT BEARING LUAU OF STEEL SPHERES PLATE EMPIRICAL FuRMULA FUR ALLOWABLE LOADS OF A CYLINDER ON A FLAT FORMULAS FOR ALLOWABLE BEANING EMPIRICAL FORMULAS FUR SIMPLE FRAMES UNPRESSURIZED CYLINDERS CRIPPLING OF PkESSURIZEU AND INTERACTION FORMULAS FOR THE FRAMES

1.3.4.1 1.3.4.2 ,Z, 203.Z.3 1.3o3.7 1.3.2.4 6.3 6.4. 6.4 6.3.z 6.3.1 B* 11.7.1 B.85.1 2. . 6.5 6.4.1 1.3.4 1.3.4.3 1.3o4.1 1.3.4.4 83 .1 .o2. 1 11.7.2 110701 5.7 8.3.1.S.4 0 5o7 50 5.1 5.2 5.5 50. 506 5.4 503 8.3.1.2.2-1 8.3.1.2. Bo3.1.2,".8.o3.1..2.3

FORMULAS FUR SIMPLE FRAMES FRAMES AND RINGS INTRODUCTION TO FRAMES AND RINGS RINuS NOMENCLATURE FOR FRAMES AND RECTANGULAR FRAMES SIMPLE FRAMES SAMPLE PRObLEM-FORMULAS FOR SAMPLE PROBLEM-RECTANGULAR FRAMES MOMENT DISTRIBUTION OF FRAmcS BY THE METHOD OF SAMPLE PRoBLEM-SOLUTION dY THE METHuD OF MOMENT DISTRIbUTION SOLUTION UF FRAMES VESSEL AfD HEAD OF THIN CYLINDRILAL PRESSURE DISCONTINUITY STRESSES AT JUNCTION PRESSURE VESSEL AND ITS HEAD AT THE JUNCTION OF A THIN CYLINDRICAL DISCONTINUITY STRESSES PRESSURE VESSELS WITH CONICAL HEADS DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS wITH FLAT HEADS STRESSES IN THIN CYLINDRICAL DISCONTINUITY VESSELS HEADS OF THIN CYLINDRICAL PRESSURE CYLINRILCAL PRESSURE VESSELS OF THIN WITH DISHED HEADS MEMBRANE STRESSES IN HEADS FORCES IN CYLINDRICAL PRESSURE VESSELS HEADS SAMPLE PROBLEM - DISCONTINUITY PRESSURE VESSELS WITH CONICAL - DISCONTINUITY STRESSES IN SAMPLE PRuBLEM VESSELS WITH FLAT HEADS PRObLEM - UISCONTINUITY STRESSES IN PRESSURE SAMPLE PLASTIC TORSION HEAP FuR BEAMS IN SAND HEAP ANALOGY HELICAL HELICAL SPRINGS HELICAL SPRINGS UF ROUNU WIRE HELICAL SPRINGS OF SQUARE WIRE WITH ACCESS HOLES PARTIAL TENSION FIELD BEAMS WITH ACCESS HOLES RIVETS IN PARTIAL TENSION BEAMS BEAMS WITH ACCESS HOLES UPRIGHTS oF PARTIAL TENSION FIELD BEANS WITH ACCESS HOLES WEBS OF PARTIAL TENSION FIELD COLUMNS IMPERFECT FOR IMPtRFECT EQUIVALENT ECCENTRICITY

$03.102 8.3.1.2.1 8.3.1.2.2.. 8.3.1.2.2.4.1 8.3.1.2.. 1.5.3. 1.5.4 1o..4.1 1.5.4.2 13.o3ol4 1.3.3.1 1.3.3.16 1.3.3.15 2.3.1.8

xvii


INDETERMINATE INTRO.UCTIUiv TO STATICALLY INOETERMINATE TRUSSES SAMPLE PROBLEM-STATICALLY INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY STATICALLY INDETERMINATE TRUSSES STATICALLY INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY STATICALLY INDETERMINATE TRUSSEb WITH MULTIPLE REDUNDANCIES INERTIA MOMENT OF INERTIA OF THE UPRIGHTS OF A PARTIAL TENSION FIELD BEAM INSTABILITY INTRODUCTION TO LATERAL INSTABILITY OF DEEP BEAMS IN BENDING LATERAL INSTABILITY OF DEEP I BEAMS LATERAL INSTABILITY OF DEEP RECTANGULAR BEAMS IN BENDING INTERACTION INTERACTIUN FORMULAS FOR THE CRIPPLING OF PRESSURIZED AND UNPREbSURIZED CYLINDERS SAMPLE PROBLEM - CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING INTERNAL SAMPLE PRuuLEM - STIFFENED THIN CYLINDRICAL PRESSURE VESSEL WITH INTERNAL PRESSURE SAMP"E PROBLEM - THIN CYLINDRICAL PRESSURE VESSELS WITH STkINGERS UNDER INTERNAL PRESSURE THICK CYLINDRICAL PRESSURE VESSELS UNDER INTERNAL PMESSURE ONLY THIN CYLINDRICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE ISTRINGERS UPTIONAL) THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE JOHNSON-LULER JOHNSoN-EULER EQUATION JOINT APPLICATIUN, OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES BUSHING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFOkM AXIAL LOAD DOUBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD DOUBLE SHEAR JOINTS UNDER ObLIUUE LOAD DOUBLE SHEAR JOINTS UNDER TRANSVERSE LOAD LUG BEARING STRENGTH FOR SINGLE SHEAR JO1TS UNDER UNIFORM AXIAL LOADS LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR JOINT WITH LESS THAN 5 PCT ELONGATION LUG NET-SECTIDN STRENGTH FOR'SIfiGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG TANG SIRENGTH FOR DOUBLE SHEAR JUINTS UNDER UNIFORM AXIAL LOAD LUG-BUSHING DLSIGN STRENGTH FUR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD SAMPLE PROBLEM-APPLICATION OF THE METHOD OF JOINTS TO STATICALLY DETERMINATE TRUSSES SINGLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD SINGLE SHEAR JOINTS UNDER OBLIQUE LOAD SINGLE SHEAR JOINTS UNDER TRANSVERSE LOAD JUNCTION DISCONTINUITY STRESSES AT JUNCTION OF THIN CYLINDRICAL PRESSURE VESSEL AD HEAD ISCONTINUITY STRESSES AT THE JUNCTION OF A THIN CYLINDRICAL PRESSURE VESSEL AND ITS HEAD LACING LACING BARS IN COLUMNS LATERAL INTRODUCTION 10 LATERAL INSTABILITY OF DEEP BEAMS IN BENDING LATERAL INSTABILITY OF DEEP I BEAMS LATERAL INSTABILITY OF DEEP RECTANGULAR BEAMS IN BENDING LATTICED LATTICED COLUMNS LOADING APPROXIMATE METHOD FOR BEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS BEAM COLUMNS AXIALLY LOADED LUG DESIGN BEARING STRENGTH oF AXIALLY LOADED LUGS WITH LESS THAN S PCT ELONGATION BEARING STRENGTH OF TRANSVERSELY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION BENDING FAII.URE OF CONCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED SHORT COLUMNS BENDING LOADS ON bARS BUSHING BLARING STRENGTH UNDER UNIFORM AXIAL LOAD BUSHING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD BUSHING STRENGTH UNDER OBLIQUE LOAD BUSHING STRENGTH UNDER TRANSVERSE LOAD COEFFICIENT OF CONSTRAINT FOR END LOADED COLUMNS COMBINED LUG-BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD COMPRESSIVE LOADING OF BARS CURVED PLATES UNDER COMBINED LOADINGS CYCLIC TENSILE LOADING OF BARS DESIGN STRESSES AND LOAD VARIATIONS FOR TRANSMISSION SHAFTING DISTRIBUTED AXIAL LOADS DOUBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD DOUBLE SHEAR JOINTS UNDER OBLIQUE LOAD DOUBLE SHEAR JOINTS UNDER TRANSVERSE LOAD EMPIRICAL FORMULA FOR ALLOWABLE BEARING LOAD OF STEEL SPHERES IN CONTACT EMPIRICAL FORMULAS FOR ALLOWAdLE BEARING LOADS OF A CYLINDER ON A FLAT PLATE EMPIRICAL TREATMENT OF ALLOWABLE BEARING LOADS

4.4.1 4.4.3 4.4 4.4.2 4.4,4 1.3.3.4 1.3.l.5 1.3.1.7 1.3.1.6 8.3.L.5.4 8.3.1.5.4.l 8.3.2.2.1 0.3.2.1.1 8.4.1.1 8.3.2.2 8.3.2.1 2*3,1,11.4 4.3.2 9.5.3 9.4 9.11 9.8 9.5.1 9.15.4 9.5.z 9.4.4 9.4.1 9.4.3 9.5.5 9.4.2 995.4 4.3.3 9.5 9.12 9.9 8.3.1.2.2 8.3.1.2.2 3.10 1.3.1.5 1.3.1.7 1.3.1.6 2.4.3 1.4.1 9.14 9.15.1 9.15.5 2.3.1.3 2.3.1.-T1 2.3.1.7 2.3.I.oL.8 3.8 9.3.4 9.5.3 9.10.2 9.7.2 2.3.1.4 9.3.5 3.7 6.8.2 3.5 10.5 2.3.1.5 9.4 9.11 9.8 11.7.2 11*7.1 11.7

xviii


LUNG

EXACT METHOD FUR dEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS EXAMPLE OF AXIALLY LOADED LUG DESIGN EXAMPLE OF UNIFuRM AXIALLY LOADED LUG ANALYSIS FLAT PLATES UNDER COMBINED LOADINGS INTRODUCTIOIN TO bEAMS UNDER COMBINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS INTROUUCTIUN TU REACTION FORCES AND MOMENTS ON BEAMS UNDER TRANSVERSE LOADING LOADIiiGS yN CIRCULAR TRANSMISSION SHAFTING LUG AND BUSHING STRENGTH UNDER OBLIUUE LOAD LUG A14DBUSHING STRENGTH UNDER TRANSVERSE LOAD LUG AND BUSHING STRENGTH UNDER UNIFORM AXIAL LOAD LUG ULARINb STREHiTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS LUG BEARING STRENGTH UNDER UNIFORM AXIAL LOAD LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR oOINT WITH LESS THAN 5 PCT ELONGATION LUG DESIGN STRENGTH UNDER UNIFORM AXIAL LoAD LUG NET-SECTION STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG NET-SECTION STRENGTH UNDER UNIFORM AXIAL LOAD LUG STRENGTH UNDER OBLIQUE LOAD LUG STRENuTH UNDER TRANSVERSE LDAU LUG TANG STRLNGTH FUR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG-BUSHING DESIGN STRENGTH FOR DUUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD NET-SECTIoN STRENGTH OF AXIALLY LUADEO LUGS WITH LESS THAN 5 PCT LLONGATION PIN SENDING STREN4GTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STREN6TH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PLATES UNDER COMBINED LOADINGS SAMPLE PRobLEM - BAR UNDER CYCLIC TENSILE LOAD SAMPLE PROBLEM - dAR UNDER STATIC TENSILE LOAD SAMPLE PRUBLEM - CONCENTRICALLY LOADEDLONG COLUMN IN BENDING SAMPLE PROBLEM - ECCENTRICALLY LOADED SHORT COLUMN IN BENDING SAMPLE PROBLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EQUIVALENT ECCENTRICITY SAMPLE PROBLEM - USE OF STRAIGHI LINE EUUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PROOLeM - USE OF TANGENT MODULUS EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PkOULEM-BEAMS UNDER CONDINED AXIAL AND TRANSVERSE LOADS - BEAM COLUMNS SHEAR LOADING OF LURVED PLATES SINGLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD SINGLE SHEAR JOINTS UNDER OBLIQUE LOAD SINGLE SHEAR JOINTS UNDER TRANSVERSE LOAD STATIC TENSILE LUADtNG OF BARS STREiHGTH UF.LUG TANbS IN AXIALLY LOADED LUGS WITH LESS THAN S PCT ELONGATION TORSIONAL LOADING OF BARS BENDING FAILURE OF CONCENTRICALLY LOADED LONG COLUMNS BENIIiiG FAILURE OF ECCENTRICALLY LOADED LONG COLUMNS COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS LONG RECTANGULAR MEMBRANES SAMPLE PROBLEM - COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PROBLEM - CONCENTRICALLY LOADED LONG COLUMN IN BENDING SAMPLE PRUbLEM - LONG ECCENTRICALLY LOADED COLUMNS AND EQUIVALENT ECCENTRICITY SAMPLE PROBLEM - LONG RECTANGULAR MEMBRANES

9.14*1.3 9.6 6.8.1 1.4 103.4 10.3 9.10 9.7 9.3 9.5.1 9.3.1 9.15.4 9.3.3 9.5.Z 9.302 9.10.1 9.7.1 9.4.4 9.4.1 9.152 9.4.3 9.5.5 9.4.2 9.5,4 6.8 3.6 3.. 2.3.1.6 2.3.1.11 9 2.3.1.9 2.3.1.11.6 2.3.1.11.2 1.4.3 6.7 9*5 9.12 9.9 3.3 9.15.3 3.9 2.3.1.3 2.3.1#7 2.3.1.1 7.5.1 2.3.1.2 2.3.1.6 2.3.1.9 7.5.Z 9.10 9.14.1 9.14.1.2 9.14.1.1 9.14 9.15.1 9.15.5 9.305 9.14.1.3 9.6 9.18 9.1 9. 9.2 9.10 9.7 9.3 9.5.1 9.3.1 9.15.4 90.33 9.17 9.5.2 9.3.2 9.10.1 9.01. 9o4.4 9.4.1 9.15.2 9.1503 9.15.3

LUG

ANALYSIS OF LUGS WITH LESS THAN 5 PCT ELONGATION AXIAL LUG DESIGN FOR PIN FAILURE AXIAL LUG UESIGN FOR PIN FAILURE IN THE BENDING MODE AXIAL LUG DESIG14 FOR PIN FAILURE IN THE SHEARING MODE AXIALLY LOADED LUG DESIGN BEARING STkENGTH OF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION BEARING STRENGTH OF TRANSVERSELY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION COM6INED LUG-BUSHING DESIGN STRENGTH UNDER UNIFORM AXIAL LOAD EXAMPLE OF AXIALLY LOADED LUG DESIGN EXAMPLE OF UNIFORM AXIALLY LOADLD LUG ANALYSIS EXAMPLE PROBLEM OF LUG FATIGUE ANALYSIS INTR'3UCTIuN TO LUG ANALYSIS LUG ANALYSIS LUG ANALYSIS NOMENCLATURE LUG A,4D BUSHING STRENGTH UNDER UBLIUUE LOAD LUG AND BUSHING SrRENGTH UNDER TRANSVERSE LOAD LUG AHD BUSHING STRENGTH UNDER UNIFORM AXIAL LOAD LUG 3EARIN( STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS LUG 9tARING STRENuTH UNDER UNIFORM AXIAL LOAD LUG 6USHINu STRLNGTH IN AXIALLY LOADED SINGLE SHEAk JOINT WITH LESS THAN 5 PCT ELONGATION LUG DESIGN STRENGTH UNDER UNIFOkM AXIAL LUAU LUG FATIGUE ANALYSIS LUG AET-SECTIUN STRENGTH FUR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG NET-SECTION STRENGTH UNDER uNIFuOM AXIAL LOAL LUG STRENGTH UNDER OdLIUUE LOAD LUG STRENGTH UNDER TRANSVERSE LjAD LUG TANG SIRENGYH FUR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG-dUSHINU OESIGi STRENGTH FOR DuUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD NET-SECTION STREAjTH OF AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION STRENGTH OF LUG TANGS IN AXIALLY LOADED LUGS WITH LESS THAN 5 PCT ELONGATION STRENGTH (P LUG TANGS IN AXIALLY LOADED LUGS WITH LESS THAN S PCT ELONGATION

xix


MEMBRANE APPLICABILITY OF THEORETICAL RESULTS FOR SHORT RECTANGULAR MEMBRANES CIRCOLAR MEMBRANES INTRODUCTION TO MEMBRANES LONG RECTANGULAR MEMBRANES MEMBRANE ANALOGY FOR BEAMS IN ELASTIC TORSION MEMBRANE STRESSES IN HEADS OF THIN CYLINURICAL PRESSURE VESSELS MEMBRANE STRESSES IN SIMPLE THIN SHELLS OF REVOLUTION MEMBRANE STRESSES IN THIN CYLINUEkS MEMBRANE STRESSES IN THIN SPHERtS MEMBRANES NOMENCLATuRh FOR MEMBRANES RECTANGULAR MEMBRANES SAMPLE PROBLEM - CIRCULAR MEMBRANES SAMPLE PRObLEM - LONG RECTANGULAR MEMBRANES PRO.LEM - MEMBRANE STRESSES IN THIN CYLINDERS AND SPHERES SAMPLE PROBLEM - SHORT RECTANGULAR MEMBRANES SHORT RECTANGULAR MEMBRANES THEORETICAL RESULTS FOR SHORT RECTANGULAR MEMBRANES MODE AXIAL LUG DESIGN FOR PIN FAILURE IN THE BENDING MODE

7T5.3.2 7.3

7Te7.5*L 1.5.3.1 8.3.1.2.1 6.34.1 8.3.1.1.1

7.7.2 7.5 7.4 7T5.2 8.3.1.1.3 7.5.3.3 7.5.3 7.5.3.1 9.14.1.19.14.1.1

"SAMPLE

AXIAL

LUG DESIGN FOR PIN FAILURE

IN THE SHEARING

MODE

MODULUS REDUCED MODULUS EQUATION SAMPLE PRUOLEM - USE OF TANGENT MODULUS EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS TANGENT MODuLJS EQUATION MOMENT APPLICATIUN OF THE THREE MOMENT EQUATION TO SOLVING FOR THE REACTIONS ON CONTINUOUS BEAMS INTRODUCTION TO REACTION FORCES AND MOMENTS ON BEAMS UNDER TRANSVERSE LOAUING MOMEHt OF INERTIA OF THE UPRIGHTS OF A PARTIAL TENSION UIELD BEAM REACTION FORCEb AND MOMENTS ON BEAMS WITH BOTH ENDS FIXED REACTION FORCES AND MOMENTS ON BEAMS WITH ONE FIXED END, AND ONE PINNED SUPPORT REACTION FORCES AND MOMENTS ON LONTINUOub BEAMS SAMPLE PRObLEM - REACTIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EQUATION SAMPLE PROBLEM-SOLUTION OF FRAMES BY THE METHOD OF MOMENT DISTRIBUTION SOLUTION OF FRAMES BY THE METHOD OF MOMENT DISTRIBUTION MULTICELL MULTICELL CLOSED BEAMS IN TORSION MULTIPLE MULTIPLE SHEAR AND SINGLE SHEAR CONNECTIONS STATICALLY INDETERMINATE TRUSSES WITH MULTIPLE REDUNDANCIES NONCIRCULAR EFFECT OF END RESTRAINT ON NONCIRCULAR BEAMS IN TORSION EFFECT OF STIFFENERS ON NONCIRCULAR CLOSED BEAMS IN TORSION NONCIRCULAR BEAMS IN TORSION NUNCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION NONCIRCULAR CLOSED BEAMS IN TORSION NONCIRCULAk OPEN BEAMS IN TORSION NONCIRCULAk OPEN BEAMS WITH VARIOUS CROSS SECTIONS IN TORSION SAMPLE PRUBLEM - i.ONCIRCULAR CLUSED STIFFENED UNIFORM SECTION BEAM IN TORSION SINGLE CELL NONCIRCULAR CLOSED bEAMS IN TORSION SINGLE CELL 14UNCIRCULAR CLOSED BEAMS WITH UNIFORM CROSS SECTION IN TORSION SINGLE CELL NUNCIRCULAR TAPERED'CLOSED BEAMS IN TORSION NONUNIFORM NONUNIFORM CIRCULAR BEAMS IN TORSION OBLIQUE BUCKLING OF uBLIQUE PLATES BUSHING STRENGTH uNDER OBLIQUE LOAD DOUBLL SHEAR JOINTS UNDER ObLIUUE LOAD LUG ANiDBUSHING STRENGTH UNDER OBLIQUE LOAD LUG 5rRENGTH UNDER OBLIQUE LOAD SINGLE SHEAR JOINTS UNDER OBLIQUE LOAD OPEN NONLIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION NONCIRCULAR OPEN BEAMS IN TORSION NONCIRCULAR OPEN BEAMS WITH VARIOUS CROSS SECTIONS &N TORSION SAMPLE PRUbLEM-NONCIRCULAR bEAMS WITH THIN OPEN SECTIONS IN TORSION OUTSTANDING CRIPPLING SIRESS OF OUTSTANDING FLANGES PANELS BUCKLING 01 SANDWICH PANELS PIN AXIAL LUG DESIGN FOR PIN FAILURE AXIAL LUG DESIGN FOR PIN FAILURL IN THE BENDING MODE AXIAL LUG DESIGN FOR PIN FAILURE IN THE SHEARING MODE PIN BENDING STRENuTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH POR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH IOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PINNED .REACTION FORCES AND MOMENTS ON DEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT

2.3.1.11.3 2.3.1.11.4 2.3.1.11.1 1.3.4.5 1.3.4 1.3.3.4 1.3.4.3 1.3.4.1 1.3.4.4 1.3.4.6 5.4 5.3 1.5.2.2.7 9.13 4.4.4 1.5,.3 1.5.2.2.4 1.5.2 1.5.2.1.3 1.5.2.2 1.5.2.1 .5.z2.1.5 1.5o2.2.5 1.5.2.2.1 1.5.2.2.2 1.5.2.2.3 1.5.1.2 6.9 9.10.2 9.11 9.10 9010.1 9.12 1.5.2.1.3 1.5.2ol ...Zol.5 S 1.5.2.1.4 2.3.2.3 6.11 9.14.l 9.14.1.2 9.14.1.1 9o4.3 9.5.5 9o4.2 9.S.4 1.3.4.1

xx


SAMPLE PROBLEM - REACTIONS ON btAM WITH ONE FIXEV AND ONE PINNED SUPPORT PLASTIC SAMPLE PRUbLEM-SIMPLE BEAMS IN PLASTIC BENDING SAND HEAP ANALOGY FOR BEAMS IN PLASTIC TORSION SIMPLE BEAMS IN PLASTIC BENDING PLATE ANALYSIS OF PLATES AXIAL COMPkESSION OF CURVED PLATES AXIAL COMPkESSICN OF FLAT PLATES BEAN-SUPPURTLD FLAT PLATES IN BENDING BENDING OF FLAT PLATES BUCKLING OF OBLIUE PLATES BUCKLING OF STIFFENED FLAT PLATES IN AXIAL COMPRESSION BUCKLING OF UNbTIFFENED FLAT PLATES IN AXIAL COMPRESSION CRIPPLING FAILURE OF FLAT STIFFENED PLATES IN COMPRESSION CURVED PLATES UNDER COMBINED LOADINGS EMPIRICAL FORMULAS FOR ALLOWABLE BEARINt LOADS OF A CYLINDER ON A FLAT PLATE FLAT PLATES UNDER COMBINED LOADINGS INTRODUCTION TO ANALYSIS OF PLATES NOMENCLATUkE FUR ANALYSIS OF PLATES PLATES UNDER COMBINED LOADINGS SHEAR BUCKLING OF FLAT PLATES SHEAR LOADING OF CURVED PLATES UNSTIFFENED FLAT PLATES IN BENDING PRESS STRESSES LUE TO PRESS FIT BUSHINGS PRESSURE ANISOTROPIL PRESSURE VESSELS BUCKLING 6F THIN SIMPLE CYLINDERS Ui4DER EXTERNAL PRESSURE

1.3.4.2 1.3.1.4 1.5.3.k 1.3.1.3 6. 6.6 6.3 6.4.2 6.4 6.9 6.3.3 6.3.1 6.3.3 6.8.2 11.7.1 6.8.1 6.1 6.2 6.8 695 6.7 6.4.1 9.16 8.5 8.3.1.3.1

BUCKLING LF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSUREBUCKLING UF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSURE BUCKLING OF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE DISCONTINUITY STRESSES AT JUNCTION OF THIN CYLINDRICAL PRESSURE VESSEL AND HEAD DISCONTINUITY STRESSES AT THE JUNCTION OF A THIN CYLINDRICAL PRESSURE VESSEL AND ITS HEAD DISCONTINUITY STRESSES IN THIN CYLINDRICAL RESSURE VESSELS WITH CONICAL HEADS DISCONTINUITY STRESSES IN THIN CYLINDRICAL PRESSURE VESSELS WITH FLAT HEADS HEADS OF THIN CYLINDRICAL PRESSURE VESSELS SE PRESSURE VESSELS INTRODUCTION TO MEMBRANE STRESSES IN HEADS OF THIN CYLINURICAL PRESSURE VESSELS NOMENCLATURE FOR PRESSURE VESSELS PRESSURE VESSELS OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE EUCKLIN6 SAMPLE PRObLEM SAMPLE PROBLEM - U1ICONTINUITY FORCES IN CYLINDRICAL PRESSURE VESSELS WITH DiSHE, HEADS SAMPLE PRCBLEM - OISCONTINUITY STRESSES IN PRESSURE VESSELS WITH CONICAL HEADS SAMPLE PROBLEM - DISCONTINUITY STRESSES IN PRESSURE VESSELS WITH FLAT HEADS SAMPLE PROBLEM - STIFFENED THIN CYLINDRICAL PRESSURE VESSEL WITH INTERNAL PRESSURE SAMPLE PRObLEM - STIFFENED THIN CYLINDRICAL PRESSURE VESSEL WITH INTERNAL PRESSURE SAMPLE PRObLEM - THICK CYLINDRICAL PRESSURE VESSEL SAMPLE PRObLEM - THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE SAMPLE PROBLEM - THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE SIMPLE THIN PRESSURE VESSELS STIFFLNED THIN PRE SSURE VESSELS STRESSES INI SMPLE CYLINDRICAL PRESSURE VESSELS DUE TO SUPPORTS THICK CYLINPRICAL PRESSURE VESSELS THICK CYLINDRICAL PRESSURE VESSELS UNDER EXTERNAL PRESSURE ONLY THICK CYLINDRICAL PRESSURE VESSELS UNDER EXTERNAL PXESSURE ONLY THICK CYLINDRICAL PRESSURE VESSELS UNDER INTERNAL PRESSURE ONLY THICK CYLINDRICAL PRESSURE VESSELS UNDER INTERNAL PRESSURE ONLY THICK PRESSURE VESSELS THICK SPHERICAL PRESSURE VESSELS THIN CYLINDRICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE (STRINGERS OPTIONAL) THIN CYLINtRICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE (STRINGERS OPTIONAL) THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE THIN CYLINDRICAL PRESSURE VESSELS WITH STRINGERS UNDER INTERNAL PRESSURE THkIN PRESSURE VESSELS PRESSURIZED CRIPPLING STRESS OF PRESSURIZED AND UNPRESSURIZED THIN SIMPLE CYLINDERS CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION INTERACTION FORMULAS FOR THE CRIPPLING OF PRESSURIZED AND UNPRESSURIZED CYLINDERS SAMPLE PROBLEM - CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION PRIMARY PRIMARY FAILURE OF SIMPLE COLUMNS RATIO CRITICAL EFFECTIVE SLENDERNESS RATIO REACTION

a.3.1.38.3.1.3 8.3.1.34 8.3.1.2.2.1 8.3.1.2.2 83.12 8.3.L.2.2.3 8.3.1.2 8.1 8.3.1.2.1 8.2 8. 8.3.1.3.1.1 8.3.02.2.1 8.3.1.Z.2.4.1 8.3,12Z.4.3.1 8.3.2.2.1 8.3.2.2.1 8.4.1.3 8.3.2.1.1 8.3.2.1.1 8.3.1 8.3.Z 8.3.1.4 8.4.18.4.1.2 8.4.1.2 8.4.1.1 8.4.1*1 8U4 8.4.2 803.2.2 8.3.2.2 8.3.2.1 8.3.2.1 8.3 6.3,1.5 8.301.5.Z.4 8.311.5.1.2 8.30105.3.4 803.1.5.' 8.3.1.5.3.401 2.3.1 2.3.0111.?

APPLICATION OF THE THREE MOMENT EQUATION TO SOLVING IOR THE REACTIONS ON CONTINUOUS BEAMSINTRODUCTION TO REACTION FORCES AND MOMENTS ON BEAMS UNDER REACTION FORCES AND MOMENTS ON bEAMS WITH BOTH ENDS FIXED TRANSVERSE LOADING

1.3.4.51.3.4 1.3.4.3

xxid


REACTION fURCES AND MOMENTS ON bEAMS WITH ONE FIXED END AND ONE PINNED SUPPORT REACTION FURCEb AID MOMENTS ON CONTIWUOUb BEAMS SAMPLE PRubLEM - REACTIONS ON BEAM wITH ONE tIXED AND ONE PINNED SUPPORI SAMPLE PRUbLEN - REACTIONS ON CONTINUOUS BEAMS BY THE THREE MOMENT EQUATION RECTANGULAR APPLICABILITY OF THEORETICAL RESULTS FOR SHORT RECTANGULAR MEMBRANES LATERAL INSTAbILITY OF DEEP RECTANGULAR BEAMS IN BENDING LONG RECTANGULAR ,IEMBRANES RECTANGULAR BEAMS IN TORSION RECTANGULAR FRAMLE RECTANGULAR MEMBRANES SAMPLE PRkbLEM - LONG RECTANGULAR MEMBRANES SAMPLE PRObLEM - SHORT RECTANGULAR MEMBRANES SHORT REC7ANGuLAR MEMBRANES THEORETICAL RESULTS FOR SHORT RLCTANGULAR MEMBRANES REDUCED REDUCED MQUULUS EwUATION REDUNDANCY SAMPLE PRUbLEM-STATICALLY INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY STATICALLN INDETERMINATE TRUSSES WITH A SINGLE REDUNDANCY STATICALLY INDETERMINATE TRUSSES WITH MULTIPLE REDUNDANCIES RESISTANT FLANGES OF STIIFEIIEU SHEAR RESISTANT BEANS INTROJUCTIUN TU SHEAR RESISTANT BEAMS IN BENDING RIVETS IN SHEAR RESISTANT BEAMS SAMPLE PRObLEM-STIFPENED SHEAR RESISTANT bEAMS STIFFENED SHEAR RtSISTANT BEAMS IN BENDING STIFFENER-1D-FLANGE RIVETS IN SHEAR RESISTANT BEAMS UNSTIFFENED SHEAR RESISTANT BEAMS IN BENDING WEB-TO-FLANGE RIVLTS IN SHEAR RLSISTANT BEAMS WEB-TO-STIFFENEk RIVETS IN SHEAR RESISTANT BEAMS WEBS OF STIFFENED SHEAR RESISTANT BEAMS RESTRAINT EFFECT OF LND RESTRAINT ON NONCIRCULAR BEAMS IN TORSION REVOLUTION MEMBRANE STRESSES IN SIMPLE THIN SHELLS OF REVOLUTION RINrGS CIRCULAR kINGS AND ARCHES FRAMES ANL RINGS INTRODUCTIUN TO FRAMES AND RINGS NOMENCLATURE FOR FRAMES AND RINGS SAMPLE PRkuLEM-CIHCULAR RINGS AND ARCHES THIN CYLINURICAL PRESSURE VESSELS WITH RINGS UNDER INTERNAL PRESSURE (STRINGERS RIVETS BEARING STNESSES IN RIVETED CONNECTIONS RIVETS AT THE ENDS OF PARTIAL TENSION FIELD BEAMS RIVETS IN PARTIAL TENSION BEAMS WITH ACCESS HOLES RIVETS IN PARTIAL TENSION F.ELD BEAMS RIVETS IN SHEAR RESISTANT BEAMS SAMPL4 PR~bLEM - BEARING STRESSES IN RIVETED CONNECTIONS STIFFENER-7u-FLANL.E RIVETS IN SHEAR RESISTANT BEAMS UPRIGHT-Tu-FLANGE RIVETS IN A PARTIAL TENSION FIELD BEAM WEB-TO-FLANGE RIVETS IN A PARTIAL TENSION FIELD BEAM WEB-TO-FLANGE RIVETS IN SHEAR RLSISTANT BEAMS WEB-TO-STIFFENER RIVETS IN SHEAR RESISTANT BEAMS WEB-To-UPRIGHT RIVETS IN PARTIAL TENSION FIELD BEAM ROUND CRIPPLING STRESS UF ROUND TUBES HELICAL SPRINGS OF ROUNU WIRE SAMPLE PRUbLEM - CRIPPLING STRESS OF ROUND TUBES SANDWICH BUCKLING UF SANDWICH PANELS SECTION APPLICATIUI. OF THE METHOD OF SECTIONS TO STATICALLY DETERMINATE TRUSSES NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION NONCIRCULAk OPEN BEAMS WITH VARIOUS CROSS SECTIONS IN TORSION SAMPLE PROBLEM - NONCIRCULAR CLOSED STIFFENED UNIFORM SECTION BEAM IN TORSION SAMPLE PROBLEM - STATICALLY DETERMINATE TRUSSES BY ThE METHOD OF SECTIONS SAMPLE PRObLEM-NONCIRCULAR BEAMS WITH THIN OPEN SECTIONS IN TORSION SINGLE CELL NONCIRCULAR CLOSED BEAMS WITH UNIFORM CROSS SECTION IN TORSION SHAFT ANALYSIS-uF COMBINED STRESSES IN TRANSMISSION SHAFTING DESIGN PROCEDURE FOR CIRCULAR TRANSMISSION SHAFTING DESIGN STRESSES AND LOAD VARIATIONS FOR TRANSMISSION SHAFTING GENERAL DESIGN EQUATION FOR CIRCULAR TRANSMISSION SHAFTING INTRODUCTION TO TRANSMIOSION SHAFT ANALYSIS LOADINGS ON CIRCULAR TRANSMISSIUN SHAFTING NOMENCLATURE USED IN TRANSMISSION SHAFTING ANALYSIS SAMPLE ANALYSIS OF CIRCULAR TRANSMISSION SHAFTING TRANSMISSION SHAFTING ANALYSIS SHAPE CRIPPLING STRESS OF ANGLE ELEMEhTS AND COMPLEX SHAPES

1.3.4.1 1.3.4.4 1.3.4.2 1.3.4.6 7.5.3.2 1.3.1.6 7.5.1 1.5.2.1.2 5.5 7.5 7.5.2 7.5.3.3 7.5,3 7.5.3.1 2.3.1.11.3 4.4.3 4.4.2 4.4.4 1.3.2.4 1.3.2.1 1.3.2.0 1.3.2.7 1.3.2.3 1.3.2.6.3 1.3.2.2 1.3.2.6.1 1.3.2.6.2 1.3.2@5 1.5.2.3 8.3.1.1 509 S. 5.1 5.2 5.10 6.3.2.2 11.3 1.3.3.12 1.3.3.17 1.3.3.8 1.3.2.6 I114 1.3.2.6.3 1.3.3.8.3 1.3.3.6.1 1.3.2.6.1 1.3.2.6.1 1.3.3.0., 2.3.2.1 1.5.4.1 2.3.2.2 6.11 4.3.4 1.50201.3 1.5.041.5 1.5.4.205 4.3.5

OPTIONAL)

1.5.2o.41.5.2.2.2 10.4 10.6 1005 10O8.2 to0l 10.3 10.2 100601 10. 2.3.2.4

xxii


ELASTIC STRESSES AND DEFORMATION OF VARIOUS SHAPES IN CONTACT SAMPLE PRObLEM - CRIPPLING STRESS OF A COMPLEX SHAPE SHEAR AXIAL LUG DESIGN FOR PIN FAILURE IN THE SHEARING MODE BUSHING S1RLNGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD DOUBLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD DOUBLE SHEAR JOINTS UNDER OBLIQUE LOAD DOUBLE SHEAR JOINTS UNDER TRANSVERSE LOAD FLANGES OF STIFFENED SHEAR RESISTANT BEAMS INTRODUCTION TO SHEAR RESISTANT BEAMS IN BENDING INTRODUCTION TO SHEkR WEB BEAMS IN BENDING LUG BEARING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOADS LUG BUSHING STRENGTH IN AXIALLY LOADED SINGLE SHEAR .OINT WITH LESS THAN 5 PCT ELONGATION LUG NET-SECTION STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG TANG STRENGTH FUR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD LUG-BUSHING DESIGN STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD MULTIPLE SHEAR AND SINGLE SHEAR CONNECTIONS MULTIPLE SHEAR. AlitSINGLE SHEAR CONNECTIONS PIN BENDING STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN BENDING STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR DOUBLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD PIN SHEAR STRENGTH FOR SINGLE SHEAR JOINTS UNDER UNIFORM AXIAL LOAD RIVETS IN SHEAR RESISTANT BEAMS SAMPLE PROBLEM-STIFFENED SHEAR RESISTANT BEAMS SHEAR BUCKLING OF FLAT PLATES SHEAR LOADING uF CURVED PLATES SINGLE SHEAR JOINT STRENGTH UNDER UNIFORM AXIAL LOAD SINGLE SHEAR JOINTS UNDER OBLIUUE LOAD SINGLE SHEAR JOINTS UNDER TRANSVERSE LOAD STIFFENED SHEAR RESISTANT BEAMS IN BENDING STIFFENER-TO-FLANGE RIVETS IN SHEAR RESISTANT BEAMS UNSTIFFENED SHEAR RESISTANT BEANS IN BENDING WEB-TO-FLANGE RIVETS IN SHEAR RESISTANT BEAMS WEB-TO-STIFFENER RIVETS IN SHEAR RESISTANT BEAMS WEBS OF STIFFENED SHEAR RESISTANT BEAMS SHELLS MEMBRANE STRESSES IN SIMPLE THIN SHELLS OF REVOLUTION SHORT APPLICABILITY OF THEORETICAL RESULTS FOR SHORT RECTANGULAR MEMBRANES BENDING FAILURE OF CONCENTRICALLY LOADED SHORT COLUMNS BENDING FAILURE OF ECCENTRICALLY LOADED SHORT COLUMNS BENDI;4G FAILURE OF SHORT COLUMNS COLUMN DATA. APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PROBLEM - COLUMN DATA APPLICABLE TO BOTH LONG AND SHORT COLUMNS SAMPLE PRObLER - ECCENTRICALLY LOADED SHORT COLUMN IN BENDING SAMPLE PROBLEM - SHORT RECTANGULAR MEMBRANES SAMPLE PROBLEM - USE OF STRAIGHT LINE EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SAMPLE PROBLEM - USE OF TANGENT MODULUS EQUATION FOR CONCENTRICALLY LOADED SHORT COLUMNS SHORT RECTANGULAR MEMBRANES THEORETICAL RESULTS FOR SHORT RECTANGULAR MEMBRANES SIMPLE BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE BUCKLING OF THIN SIMPLE PRESSURE VESSELS UNDER EXTERNAL PRESSURE BUCKLING OF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE CRIPPLING STRESS OF PRESSURIZED AND UNPRESSURIZED THIN SIMPLE CYLINDERS CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS'UF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS OF SIMPLE THIN CYLINDERS IN TORSION CRIPPLING STRESS OF UNPRESSURIzED SIMPLE THIN CYLINDERS IN BENDING CRIPPLING STRESS OF UNPRESSURIZED SIMPLE THIN CYLINDERS IN COMPRESSION CRIPPLING STRESS jF UNPRESSURIZED SIMPLE THIN CYLINDERS IN TORSION FORMULAS FOR SIMPLE FRAMES MEMBRANE STRESSES IN SIMPLE THIN SHELLS OF REVOLUTION PRIMARY FAILURE OF SIMPLE COLUMNS SAMPLE PRObLEM - BUCKLING OF THIN SIMPLE CYLINDERS UNDER EXTERNAL PRESSURE SAMPLE PROBLEM - CRIPPLING INTERACTION OF SIMPLE THIN CYLINDERS IN COMPRESSION AND BENDING SAMPLE PRobLEM - CRIPPLING STRESS OF PRESSURIZED SIMPLE THIN CYLINDERS IN TORSION SAMPLE PRObLEM - TORSIONAL FAILURE OF SIMPLE COLUMNS SAMPLE PkObLEM-FORMULAS FOR SIMPLE FRAMES SIMPLE BEANS IN BENDING SIMPLE BEANS IN ELASTIC BENDING SIMPLE BEAMS IN PLASTIC BENDING SIMPLE COLUMNS SIMPLE THIN PRESSURE VESSELS STRESSES IN SIMPLE CYLINDRICAL PRESSURE VESSELS DUE TO SUPPORTS TORSIONAL FAILURE OF SIMPLE COLUMNS

11*5 2.3.2o5 9ol4.1.1 9.503 9.4 9.11 908 1.3.2.4 1.3.2.1 o.3.2 9.5.1 901504 905*2 9.4.4 9,4.1 9.13 9.13 9.4.3 9.505 9.4o2 9.4o2 9.5.4 9*5t4 1.3.2.6 1.3.2.7 6.5 6.7 9.5 9.12 9.9 1.3.2.3 1.3.2.6.3 1.3.2.2 1.3.2964t 1.3.26.2 1.3.2.5 8.3.1.1 7.5.3.2 2.3.1.11 2.3.1.11.6 2.3.1.10 2.3o.. 2.3.1.2 2.3.1.11.9 7.5.3o3 203.1.11.0 2.3.1.11.2 7.5.3 7.5..1 8.3.1.3.1, 8.3.1.3 8.3.t.3.2 8.30.05 8.3.1.5.2.2 8.3.1.5.1.4 683.1.5.3.o 8.3.1..2 8.3.1.5.1 8.3.1.5.3 8.3.1.4.2.1 8.3.1.5.1.1 8.3.1.5.3.1 5.7 8.3.1.1 2.3.l 8.3.1.3.1.1 8.3.1.5.4 L 8.3.1.5.3.4. 2*3.1.13 5.8 1.0.1 1.3.1.1 1.3.1.3 2.3 8.3.1 8.3.1*4 2.3.1.12

w

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SLENDERNESS CRITICAL EFFECTIVE SLENDERNESS RATIO SPHERES BUCKLING OF THIN SIMPLE SPHERES UNDER EXTERNAL PRESSURE EMPIRICAL FORMULA FoR ALLOWABLE BEARING LOAD OF STEEL SPHERES IN CONTACT MEMBRANE STRESSES