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Tables of Contents for Mechanics of Materials
Chapter/Section Title
Page #
Page Count
Preface
xi
Symbols
xv
Greek Alphabet
xviii
Tension, Compression, and Shear
1
66
Introduction to Mechanics of Materials
1
2
Normal Stress and Strain
3
7
Mechanical Properties of Materials
10
10
Elasticity, Plasticity, and Creep
20
3
Linear Elasticity, Hooke's Law, and Poisson's Ratio
23
5
Shear Stress and Strain
28
11
Allowable Stress and Allowable Loads
39
5
Design for Axial Loads and Direct Shear
44
23
Problems
49
18
Axially Loaded Members
67
120
Introduction
67
1
Changes in Lengths of Axially Loaded Members
68
9
Changes in Lengths of Nonuniform Bars
77
7
Statically Indeterminate Structures
84
9
Thermal Effects, Misfits, and Prestrains
93
12
Stresses on Inclined Sections
105
11
Strain Energy
116
12
Impact Loading
128
9
Repeated Loading and Fatigue
137
2
Stress Concentrations
139
6
Nonlinear Behavior
145
5
Elastoplastic Analysis
150
37
Problems
156
31
Torsion
187
84
Introduction
187
1
Torsional Deformations of a Circular Bar
188
3
Circular Bars of Linearly Elastic Materials
191
13
Nonuniform Torsion
204
8
Stresses and Strains in Pure Shear
212
8
Relationship Between Moduli of Elasticity E and G
220
1
Transmission of power by Circular Shafts
221
7
Statically Indeterminate Torsional Members
228
4
Strain Energy in Torsion and Pure Shear
232
8
Thin-Walled Tubes
240
9
Stress Concentrations in Torsion
249
22
Problems
251
20
Shear Forces and Bending Moments
271
40
Introduction
271
1
Types of Beams, Loads, and Reactions
271
5
Shear Forces and Bending Moments
276
8
Relationships Between Loads, Shear Forces, and Bending Moments
284
4
Shear-Force and Bending-Moment Diagrams
288
23
Problems
302
9
Stresses in Beams (Basic Topics)
311
96
Introduction
311
1
Pure Bending and Nonuniform Bending
312
1
Curvature of a Beam
313
1
Longitudinal Strains in Beams
314
6
Normal Stresses in Beams (Linearly Elastic Materials)
320
12
Design of Beams for Bending Stresses
332
9
Nonprismatic Beams
341
4
Shear Stresses in Beams of Rectangular Cross Section
345
9
Shear Stresses in Beams of Circular Cross Section
354
4
Shear Stresses in the Webs of Beams with Flanges
358
8
Built-Up Beams and Shear Flow
366
4
Beams with Axial Loads
370
6
Stress Concentrations in Bending
376
31
Problems
378
29
Stresses in Beams (Advanced Topics)
407
72
Introduction
407
1
Composite Beams
407
10
Transformed-Section Method
417
6
Doubly Symmetric Beams with Inclined Loads
423
7
Bending of Unsymmetric Beams
430
5
The Shear-Center Concept
435
3
Shear Stresses in Beams of Thin-Walled Open Cross Sections
438
3
Shear Stresses in Wide-Flange Beams
441
4
Shear Centers of Thin-Walled Open Sections
445
9
Elastoplastic Bending
454
25
Problems
464
15
Analysis of Stress and Strain
479
78
Introduction
479
1
Plane Stress
480
9
Principal Stresses and Maximum Shear Stresses
489
9
Mohr's Circle for Plane Stress
498
16
Hooke's Law for Plane Stress
514
5
Triaxial Stress
519
5
Plane Strain
524
33
Problems
539
18
Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings)
557
52
Introduction
557
1
Spherical Pressure Vessels
557
7
Cylindrical Pressure Vessels
564
8
Maximum Stresses in Beams
572
10
Combined Loadings
582
27
Problems
598
11
Deflections of Beams
609
88
Introduction
609
1
Differential Equations of the Deflection Curve
609
6
Deflections by Integration of the Bending-Moment Equation
615
11
Deflections by Integration of the Shear-Force and Load Equations
626
6
Method of Superposition
632
9
Moment-Area Method
641
10
Nonprismatic Beams
651
5
Strain Energy of Bending
656
6
Castigliano's Theorem
662
12
Deflections Produced by Impact
674
2
Temperature Effects
676
21
Problems
678
19
Statically Indeterminate Beams
697
42
Introduction
697
1
Types of Statically Indeterminate Beams
698
3
Analysis by the Differential Equations of the Deflection Curve
701
7
Method of Superposition
708
13
Temperature Effects
721
3
Longitudinal Displacements at the Ends of a Beam
724
15
Problems
728
11
Columns
739
76
Introduction
739
1
Buckling and Stability
740
3
Columns with Pinned Ends
743
12
Columns with Other Support Conditions
755
11
Columns with Eccentric Axial Loads
766
5
The Secant Formula for Columns
771
6
Elastic and Inelastic Column Behavior
777
2
Inelastic Buckling
779
6
Design Formulas for Columns
785
30
Problems
798
17
Review of Centroids and Moments of Inertia
815
30
Introduction
815
1
Centroids of Plane Areas
816
3
Centroids of Composite Areas
819
3
Moments of Inertia of Plane Areas
822
3
Parallel-Axis Theorem for Moments of Inertia
825
3
Polar Moments of Inertia
828
2
Products of Inertia
830
3
Rotation of Axes
833
2
Principal Axes and Principal Moments of Inertia
835
10
Problems
839
6
References and Historical Notes
845
8
Appendix A Systems of Units and Conversion Factors
853
14
A.1 Systems of Units
853
1
A.2 SI Units
854
7
A.3 U.S. Customary Units
861
2
A.4 Temperature Units
863
1
A.5 Conversions Between Units
864
3
Appendix B Problem Solving
867
6
B.1 Types of Problems
867
1
B.2 Steps in Solving Problems
868
1
B.3 Dimensional Homogeneity
869
1
B.4 Significant Digits
870
2
B.5 Rounding of Numbers
872
1
Appendix C Mathematical Formulas
873
4
Appendix D Properties of Plane Areas
877
6
Appendix E Properties of Structural-Steel Shapes
883
6
Appendix F Properties of Structural Lumber
889
2
Appendix G Deflections and Slopes of Beams
891
6
Appendix H Properties of Materials
897
6
Answers to Problems
903
16
Name Index
919
2
Subject Index
921