1. Tension, Compression, and Shear
Introduction to Mechanics of Materials. Problem-Solving Approach. Statics Review. Normal Stress and Strain. Mechanical Properties of Materials. Elasticity, Plasticity, and Creep. Linear Elasticity, Hooke’s Law, and Poisson’s Ratio. Shear Stress and Strain. Allowable Stresses and Allowable Loads. Design for Axial Loads and Direct Shear.
2. Axially Loaded Members.
Introduction. Changes in Lengths of Axially Loaded Members. Changes in Lengths under Nonuniform Conditions. Statically Indeterminate Structures. Thermal Effects, Misfits, and Prestrains. Stresses on Inclined Sections. Strain Energy. Impact Loading. Repeated Loading and Fatigue. Stress Concentrations. Nonlinear Behavior. Elastoplastic Analysis
3. Torsion.
Introduction. Torsional Deformations of a Circular Bar. Circular Bars of Linearly Elastic Materials. Nonuni-form Torsion. Stresses and Strains in Pure Shear. Relationship Between Moduli of Elasticity E and G. Trans-mission of Power by Circular Shafts. Statically Indeterminate Torsional Members. Strain Energy in Torsion and Pure Shear. Torsion of Noncircular Prismatic Shafts. Thin-Walled Tubes. Stress Concentrations in Tor-sion.
4. Shear Forces and Bending Moments.
Introduction. Types of Beams, Loads, and Reactions. Shear Forces and Bending Moments. Relationships Among Loads, Shear Forces, and Bending Moments. Shear-Force and Bending-Moment Diagrams.
5. Stresses in Beams (Basic Topics).
Introduction. Pure Bending and Nonuniform Bending. Curvature of a Beam. Longitudinal Strains in Beams. Normal Stress in Beams (Linearly Elastic Materials). Design of Beams for Bending Stresses. Nonprismatic Beams. Shear Stresses in Beams of Rectangular Cross Section. Shear Stresses in Beams of Circular Cross Section. Shear Stresses in the Webs of Beams with Flanges. Built-Up Beams and Shear Flow. Beams with Axial Loads. Stress Concentrations in Bending
6. Stresses in Beams (Advanced Topics).
Introduction. Composite Beams. Transformed-Section Method. Doubly Symmetric Beams with Inclined Loads. Bending of Unsymmetric Beams. The Shear-Center Concept. Shear Stresses in Beams of Thin-Walled Open Cross Sections. Shear Stresses in Wide-Flange Beams. Shear Centers of Thin-Walled Open Sections. Elastoplastic Bending.
7. Analysis of Stress and Strain.
Introduction. Plane Stress. Principal Stresses and Maximum Shear Stresses. Mohr’s Circle for Plane Stress. Hooke’s Law for Plane Stress. Triaxial Stress. Plane Strain.
8. Applications of Plane Stress (Pressure Vessels, Beams, and Combined Loadings).
Introduction. Spherical Pressure Vessels. Cylindrical Pressure Vessels. Maximum Stresses in Beams. Combined Loadings.
9. Deflections of Beams.
Introduction. Differential Equations of the Deflection Curve. Deflections by Integration of the Bending-Moment Equation. Deflections by Integration of the Shear-Force and Load Equations. Method of Superposition. Moment-Area Method. Nonprismatic Beams. Strain Energy of Bending. Castigliano’s Theorem. Deflections Produced by Impact. Temperature Effects
10. Statically Indeterminate Beams.
Introduction. Types of Statically Indeterminate Beams. Analysis by the Differential Equations of the Deflection Curve. Method of Superposition. Temperature Effects. Longitudinal Displacements at the Ends of a Beam.
11. Columns.
Introduction. Buckling and Stability. Columns with Pinned Ends. Columns with Other Support Conditions. Columns with Eccentric Axial Loads. The Secant Formula for Columns. Elastic and Inelastic Column Behavior. Inelastic Buckling. Design Formulas for Columns.
References and Historical Notes.
Appendix A: Systems of Units and Conversion Factors.
Appendix B: Problem Solving.
Appendix C: Mathematical Formulas.
Appendix D: Review of Centroids and Moments Of Inertia.
Appendix E: Properties Of Plane Areas.
Appendix F: Properties of Structural-Steel Shapes.
Appendix G: Properties of Structural Lumber.
Appendix H: Deflections and Slopes of Beams.
Appendix I: Properties of Materials.