Cover
Title Page
Copyright Page
About the Authors
Contents
Preface
Guided Tour
List of Symbols
1 Introduction—Concept of Stress
1.1 Review of The Methods of Statics
1.2 Stresses in the Members of a Structure
1.3 Stress on an Oblique Plane Under Axial Loading
1.4 Stress Under General Loading Conditions; Components of Stress
1.5 Design Considerations
Review and Summary
2 Stress and Strain—Axial Loading
2.1 An Introduction to Stress and Strain
2.2 Statically Indeterminate Problems
2.3 Problems Involving Temperature Changes
2.4 Poisson’s Ratio
2.5 Multiaxial Loading: Generalized Hooke’s Law
2.6 Dilatation and Bulk Modulus
2.7 Shearing Strain
2.8 Deformations Under Axial Loading—Relation Between E, ν, and G
2.9 Stress-Strain Relationships for Fiber-Reinforced Composite Materials
2.10 Stress and Strain Distribution Under Axial Loading: Saint-Venant’s Principle
2.11 Stress Concentrations
2.12 Plastic Deformations
2.13 Residual Stresses
Review and Summary
3 Torsion
3.1 Circular Shafts in Torsion
3.2 Angle of Twist in the Elastic Range
3.3 Statically Indeterminate Shafts
3.4 Design of Transmission Shafts
3.5 Stress Concentrations in Circular Shafts
3.6 Plastic Deformations in Circular Shafts
3.7 Circular Shafts Made of an Elastoplastic Material
3.8 Residual Stresses in Circular Shafts
3.9 Torsion of Noncircular Members
3.10 Thin-Walled Hollow Shafts
Review and Summary
4 Pure Bending
4.1 Symmetric Members in Pure Bending
4.2 Stresses and Deformations in the Elastic Range
4.3 Deformations in a Transverse Cross Section
4.4 Members Made of Composite Materials
4.5 Stress Concentrations
4.6 Plastic Deformations
4.7 Eccentric Axial Loading in a Plane of Symmetry
4.8 Unsymmetric Bending Analysis
4.9 General Case of Eccentric Axial Loading Analysis
4.10 Curved Members
Review and Summary
5 Analysis and Design of Beams for Bending
5.1 Shear and Bending-Moment Diagrams
5.2 Relationships Between Load, Shear, and Bending Moment
5.3 Design of Prismatic Beams for Bending
5.4 Singularity Functions Used to Determine Shear and Bending Moment
5.5 Nonprismatic Beams
Review and Summary
6 Shearing Stresses in Beams and Thin-Walled Members
6.1 Horizontal Shearing Stress in Beams
6.2 Distribution of Stresses in a Narrow Rectangular Beam
6.3 Longitudinal Shear on a Beam Element of Arbitrary Shape
6.4 Shearing Stresses in Thin-Walled Members
6.5 Plastic Deformations
6.6 Unsymmetric Loading of Thin-Walled Members and Shear Center
Review and Summary
7 Transformations of Stress and Strain
7.1 Transformation of Plane Stress
7.2 Mohr’s Circle for Plane Stress
7.3 General State of Stress
7.4 Three-Dimensional Analysis of Stress
7.5 Theories of Failure
7.6 Stresses in Thin-Walled Pressure Vessels
7.7 Transformation of Plane Strain
7.8 Three-Dimensional Analysis of Strain
7.9 Measurements of Strain; Strain Rosette
Review and Summary
8 Principal Stresses Under a Given Loading
8.1 Principal Stresses in a Beam
8.2 Design of Transmission Shafts
8.3 Stresses Under Combined Loads
Review and Summary
9 Deflection of Beams
9.1 Deformation Under Transverse Loading
9.2 Statically Indeterminate Beams
9.3 Singularity Functions to Determine Slope and Deflection
9.4 Method of Superposition
9.5 Moment-Area Theorems
9.6 Moment-Area Theorems Applied to Beams with Unsymmetric Loadings
Review and Summary
10 Columns
10.1 Stability of Structures
10.2 Eccentric Loading and the Secant Formula
10.3 Centric Load Design
10.4 Eccentric Load Design
Review and Summary
11 Energy Methods
11.1 Strain Energy
11.2 Elastic Strain Energy
11.3 Strain Energy for a General State of Stress
11.4 Impact Loads
11.5 Single Loads
11.6 Work and Energy Under Multiple Loads
11.7 Castigliano’s Theorem
11.8 Deflections by Castigliano’s Theorem
*11.9 Statically Indeterminate Structures
Review and Summary
Appendices
A Principal Units Used in Mechanics
B Centroids and Moments of Areas
C Centroids and Moments of Inertia of Common Geometric Shapes
D Typical Properties of Selected Materials Used in Engineering
E Properties of Rolled-Steel Shapes
F Beam Deflections and Slopes
G Fundamentals of Engineering Examination
Answers to Problems
Index