1.2 Fundamental Equations of Deformable-Body Mechanics 3 --
1.3 Problem-Solving Procedures 6 --
1.4 Review of Static Equilibrium; Equilibrium of Deformable Bodies 8 --
2 Stress and Strain; Design 21 --
2.3 Extensional Strain; Thermal Strain 30 --
2.4 Stress-Strain Diagrams; Mechanical Properties of Materials 36 --
2.5 Elasticity and Plasticity; Temperature Effects 44 --
2.6 Linear Elasticity; Hooke's Law and Poisson's Ratio 47 --
2.7 Shear Stress and Shear Strain; Shear Modulus 50 --
2.8 Introduction to Design
Axial Loads and Direct Shear
2.9 Stresses on an Inclined Plane in an Axially Loaded Member 64 --
2.10 Saint-Venant's Principle 66 --
2.11 Hooke's Law for Plane Stress; The Relationship Between E and G 68 --
2.12 General Definitions of Stress and Strain 71 --
2.13 Cartesian Components of Stress; Generalized Hooke's Law for Isotropic Materials 81 --
3 Axial Deformation 113 --
3.2 Basic Theory of Axial Deformation 113 --
3.3 Structures with Uniform Axial-Deformation Members 119 --
3.4 Examples of Nonuniform Axial Deformation 128 --
3.5 Statically Indeterminate Structures 134 --
3.6 Thermal Effects on Axial Deformation 143 --
3.7 Geometric "Misfits," 154 --
3.8 Displacement-Method Solution of Axial-Deformation Problems 160 --
3.9 Force-Method Solution of Axial-Deformation Problems 172 --
3.10 Introduction to the Analysis of Planar Trusses 181 --
3.11 Inelastic Axial Deformation 189 --
4.2 Torsional Deformation of Circular Bars 228 --
4.3 Torsion of Linearly Elastic Circular Bars 231 --
4.4 Stress Distribution in Circular Torsion Bars; Torsion Testing 239 --
4.5 Statically Determinate Assemblages of Uniform Torsion Members 243 --
4.6 Statically Indeterminate Assemblages of Uniform Torsion Members 248 --
4.7 Displacement-Method Solution of Torsion Problems 256 --
4.8 Power-Transmission Shafts 262 --
4.9 Thin-Wall Torsion Members 265 --
4.10 Torsion of Noncircular Prismatic Bars 270 --
4.11 Inelastic Torsion of Circular Rods 274 --
5 Equilibrium of Beams 298 --
5.2 Equilibrium of Beams Using Finite Free-Body Diagrams 303 --
5.3 Equilibrium Relationships Among Loads, Shear Force, and Bending Moment 307 --
5.4 Shear-Force and Bending-Moment Diagrams 310 --
5.5 Discontinuity Functions to Represent Loads, Shear, and Moment 322 --
6 Stresses in Beams 338 --
6.2 Strain-Displacement Analysis 341 --
6.3 Flexural Stress in Linearly Elastic Beams 347 --
6.4 Design of Beams for Strength 356 --
6.5 Flexural Stress in Nonhomogeneous Beams 362 --
6.6 Unsymmetric Bending 369 --
6.7 Inelastic Bending of Beams 379 --
6.8 Shear Stress and Shear Flow in Beams 389 --
6.9 Limitations on the Shear Stress Formula 395 --
6.10 Shear Stress in Thin-Wall Beams 398 --
6.11 Shear in Built-Up Beams 408 --
7 Deflection of Beams 448 --
7.2 Differential Equations of the Deflection Curve 449 --
7.3 Slope and Deflection by Integration
Statically Determinate Beams
7.4 Slope and Deflection by Integration
Statically Indeterminate Beams
7.5 Use of Discontinuity Functions to Determine Beam Deflections 473 --
7.6 Slope and Deflection of Beams: Superposition Method 480 --
7.7 Slope and Deflection of Beams: Displacement Method 498 --
8 Transformation of Stress and Strain; Mohr's Circle 524 --
8.3 Stress Transformation for Plane Stress 527 --
8.4 Principal Stresses and Maximum Shear Stress 534 --
8.5 Mohr's Circle for Plane Stress 540 --
8.6 Triaxial Stress; Absolute Maximum Shear Stress 547 --
8.8 Transformation of Strains in a Plane 555 --
8.9 Mohr's Circle for Strain 559 --
8.10 Measurement of Strain; Strain Rosettes 565 --
8.11 Analysis of Three-Dimensional Strain 570 --
9 Pressure Vessels; Stresses Due to Combined Loading 585 --
9.2 Thin-Wall Pressure Vessels 586 --
9.3 Stress Distribution in Beams 592 --
9.4 Stresses Due to Combined Loads 597 --
10 Buckling of Columns 614 --
10.2 Ideal Pin-Ended Column; Euler Buckling Load 617 --
10.3 Effect of End Conditions on Column Buckling 623 --
10.4 Eccentric Loading; the Secant Formula 630 --
10.5 Imperfections in Columns 636 --
10.6 Inelastic Buckling of Ideal Columns 637 --
10.7 Design of Centrally Loaded Columns 641 --
11.2 Work and Strain Energy 661 --
11.3 Elastic Strain Energy for Various Types of Loading 668 --
11.4 Work-Energy Principle for Calculating Deflections 674 --
11.5 Castigliano's Second Theorem; the Unit-Load Method 679 --
11.7 Strain-Energy Methods 694 --
11.8 Complementary-Energy Methods 699 --
11.9 Dynamic Loading; Impact 709 --
12 Special Topics Related to Design 729 --
12.2 Stress Concentrations 729 --
12.3 Failure Theories 736 --
12.4 Fatigue and Fracture 744 --
A Numerical Accuracy; Approximations 1 --
A.1 Numerical Accuracy; Significant Digits 1 --
C Geometric Properties of Plane Areas 0 --
C.1 First Moments of Area; Centroid 1 --
C.2 Moments of Inertia of an Area 4 --
C.3 Product of Inertia of an Area 9 --
C.4 Area Moments of Inertia About Inclined Axes; Principal Moments of Inertia 11 --
D Section Properties of Selected Structural Shapes 1 --
D.1 Properties of Steel Wide-Flange (W) Shapes (U.S. Customary Units) 2 --
D.2 Properties of Steel Wide-Flange (W) Shapes (SI Units) 3 --
D.3 Properties of American Standard (S) Beams (U.S. Customary Units) 4 --
D.4 Properties of American Standard (C) Channels (U.S. Customary Units) 5 --
D.5 Properties of Steel Angle Sections
Equal Legs (U.S. Customary Units)
D.6 Properties of Steel Angle Sections
Unequal Legs (U.S. Customary Units)
D.7 Properties of Standard-Weight Steel Pipe (U.S. Customary Units) 8 --
D.8 Properties of Structural Lumber (U.S. Customary Units) 9 --
D.9 Properties of Aluminum Association Standard I-Beams (U.S. Customary Units) 10 --
D.10 Properties of Aluminum Association Standard Channels (U.S. Customary Units) 11 --
E Deflections and Shopes of Beams; Fixed-End Actions 0 --
E.1 Deflections and Slopes of Cantilever Uniform Beams 0 --
E.2 Deflections and Slopes of Simply-Supported Uniform Beams 2 --
E.3 Fixed-End Actions for Uniform Beams 4 --
F Mechanical Properties of Selected Engineering Materials 1 --
F.1 Specific Weight and Mass Density 2 --
F.2 Modulus of Elasticity, Shear Modulus of Elasticity, and Poisson's Ratio 3 --
F.3 Yield Strength, Ultimate Strength, Percent Elongation in 2 Inches, and Coefficient of Thermal Expansion 4 --
G Computational Mechanics 1 --
