Table of contents for Mechanics of materials / Ferdinand Beer ... [et al.].

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Contents
Preface xiii
List of Symbols xix
1
INTRODUCTION?CONCEPT OF STRESS
2
1.1	Introduction	2
1.2	A Short Review of the Methods of Statics	2
1.3	Stresses in the Members of a Structure	5
1.4	Analysis and Design	6
1.5	Axial Loading; Normal Stress	7
1.6	Shearing Stress	9
1.7	Bearing Stress in Connections	11
1.8	Application to the Analysis and Design of Simple Structures	12
1.9	Method of Problem Solution	14
1.10	Numerical Accuracy	15
1.11	Stress on an Oblique Plane under Axial Loading	23
1.12	Stress under General Loading Conditions; Components of Stress	24
1.13	Design Considerations	27
Review and Summary for Chapter 1	38
2
STRESS AND STRAIN?AXIAL LOADING
47
2.1	Introduction	47
2.2	Normal Strain under Axial Loading	48
2.3	Stress-Strain Diagram	50
*2.4	True Stress and True Strain	55
2.5	Hooke?s Law; Modulus of Elasticity	56
2.6	Elastic versus Plastic Behavior of a Material	57
2.7	Repeated Loadings; Fatigue	59
2.8	Deformations of Members under Axial Loading	61
2.9	Statically Indeterminate Problems	70
2.10	Problems Involving Temperature Changes	74
2.11	Poisson?s Ratio	84
2.12	Multiaxial Loading; Generalized Hooke?s Law	85
*2.13	Dilatation; Bulk Modulus	87
2.14	Shearing Strain	89
2.15	Further Discussion of Deformations under Axial Loading; Relation among E, , 
and G	92
*2.16	Stress-Strain Relationships for Fiber-Reinforced Composite Materials	95
2.17	Stress and Strain Distribution under Axial Loading; Saint-Venant?s Principle
	104
2.18	Stress Concentrations	107
2.19	Plastic Deformations	109
*2.20	Residual Stresses	113
Review and Summary for Chapter 2	121
3
TORSION
132
3.1	Introduction	132
3.2	Preliminary Discussion of the Stresses in a Shaft	134
3.3	Deformations in a Circular Shaft	136
3.4	Stresses in the Elastic Range	139
3.5	Angle of Twist in the Elastic Range	150
3.6	Statically Indeterminate Shafts	153
3.7	Design of Transmission Shafts	165
3.8	Stress Concentrations in Circular Shafts	167
*3.9	Plastic Deformations in Circular Shafts	172
*3.10	Circular Shafts Made of an Elastoplastic Material	174
*3.11	Residual Stresses in Circular Shafts	177
*3.12	Torsion of Noncircular Members	186
*3.13	Thin-Walled Hollow Shafts	189
Review and Summary for Chapter 3	198
4
PURE BENDING
209
4.1	Introduction	209
4.2	Symmetric Member in Pure Bending	211
4.3	Deformations in a Symmetric Member in Pure Bending	213
4.4	Stresses and Deformations in the Elastic Range	216
4.5	Deformations in a Transverse Cross Section	220
4.6	Bending of Members Made of Several Materials	230
4.7	Stress Concentrations	234
*4.8	Plastic Deformations	243
*4.9	Members Made of an Elastoplastic Material	246
*4.10	Plastic Deformations of Members with a Single Plane of Symmetry	250
*4.11	Residual Stresses	250
4.12	Eccentric Axial Loading in a Plane of Symmetry	260
4.13	Unsymmetric Bending	270
4.14	General Case of Eccentric Axial Loading	276
*4.15	Bending of Curved Members	285
Review and Summary for Chapter 4	298
5
ANALYSIS AND DESIGN OF BEAMS FOR BENDING
308
5.1	Introduction	308
5.2	Shear and Bending-Moment Diagrams	311
5.3	Relations among Load, Shear, and Bending Moment	322
5.4	Design of Prismatic Beams for Bending	332
*5.5	Using Singularity Functions to Determine Shear and Bending Moment in a Beam
	343
*5.6	Nonprismatic Beams	354
Review and Summary for Chapter 5	363
6
SHEARING STRESSES IN BEAMS ANDTHIN-WALLED MEMBERS
372
6.1	Introduction	372
6.2	Shear on the Horizontal Face of a Beam Element	374
6.3	Determination of the Shearing Stresses in a Beam	376
6.4	Shearing Stresses in Common Types of Beams	377
*6.5	Further Discussion of the Distribution of Stresses in a Narrow Rectangular Beam
	380
6.6	Longitudinal Shear on a Beam Element of Arbitrary Shape	388
6.7	Shearing Stresses in Thin-Walled Members	390
*6.8	Plastic Deformations	392
*6.9	Unsymmetric Loading of Thin-Walled Members; Shear Center	402
Review and Summary for Chapter 6	414
7
TRANSFORMATIONS OF STRESS AND STRAIN
423
7.1	Introduction	423
7.2	Transformation of Plane Stress	425
7.3	Principal Stresses: Maximum Shearing Stress	428
7.4	Mohr?s Circle for Plane Stress	436
7.5	General State of Stress	446
7.6	Application of Mohr?s Circle to the Three-Dimensional Analysis of Stress	448
*7.7	Yield Criteria for Ductile Materials under Plane Stress	451
*7.8	Fracture Criteria for Brittle Materials under Plane Stress	453
7.9	Stresses in Thin-Walled Pressure Vessels	462
*7.10	Transformation of Plane Strain	470
*7.11	Mohr?s Circle for Plane Strain	473
*7.12	Three-Dimensional Analysis of Strain	475
*7.13	Measurements of Strain; Strain Rosette	478
Review and Summary for Chapter 7	486
8
PRINCIPAL STRESSES UNDER A GIVEN LOADING
496
*8.1	Introduction	496
*8.2	Principal Stresses in a Beam	497
*8.3	Design of Transmission Shafts	500
*8.4	Stresses under Combined Loadings	508
Review and Summary for Chapter 8	521
9
DEFLECTION OF BEAMS
530
9.1	Introduction	530
9.2	Deformation of a Beam under Transverse Loading	532
9.3	Equation of the Elastic Curve	533
*9.4	Direct Determination of the Elastic Curve from the Load Distribution	538
9.5	Statically Indeterminate Beams	540
*9.6	Using Singularity Functions to Determine the Slope and Deflection of a Beam
	549
9.7	Method of Superposition	558
9.8	Application of Superposition to Statically Indeterminate Beams	560
*9.9	Moment-Area Theorems	569
*9.10	Application to Cantilever Beams and Beams withSymmetric Loading	571
*9.11	Bending-Moment Diagrams by Parts	573
*9.12	Application of Moment-Area Theorems to Beams with Unsymmetric Loadings
	582
*9.13	Maximum Deflection	584
*9.14	Use of Moment-Area Theorems with Statically Indeterminate Beams	586
Review and Summary for Chapter 9	594
10
COLUMNS
607
10.1	Introduction	607
10.2	Stability of Structures	608
10.3	Euler?s Formula for Pin-Ended Columns	610
10.4	Extension of Euler?s Formula to Columns with Other End Conditions	614
*10.5	Eccentric Loading; the Secant Formula	625
10.6	Design of Columns under a Centric Load	636
10.7	Design of Columns under an Eccentric Load	652
Review and Summary for Chapter 10	662
11
ENERGY METHODS
670
11.1	Introduction	670
11.2	Strain Energy	670
11.3	Strain-Energy Density	672
11.4	Elastic Strain Energy for Normal Stresses	674
11.5	Elastic Strain Energy for Shearing Stresses	677
*11.6	Strain Energy for a General State of Stress	680
11.7	Impact Loading	693
11.8	Design for Impact Loads	695
11.9	Work and Energy under a Single Load	696
11.10	Deflection under a Single Load by the Work-Energy Method	698
*11.11	Work and Energy under Several Loads	709
*11.12	Castigliano?s Theorem	711
*11.13	Deflections by Castigliano?s Theorem	712
*11.14	Statically Indeterminate Structures	716
Review and Summary for Chapter 11	726
APPENDICES
735
A	Moments of Areas	736
B	typical Properties of Selected Materials Used in Engineering	746
C	Properties of Rolled-Steel Shapes	750
D	Beam Deflections and Slopes	762
E	Fundamentals of Engineering Examination	763
Photo Credits					765
Index		767
Answers to Problems	776

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