## Table of Contents

**1 General Principles**

Chapter Objectives

1.1 Mechanics

1.2 Fundamental Concepts

1.3 The International System of Units

1.4 Numerical Calculations

1.5 General Procedure for Analysis

**2 Force Vectors**

Chapter Objectives

2.1 Scalars and Vectors

2.2 Vector Operations

2.3 Vector Addition of Forces

2.4 Addition of a System of Coplanar Forces

2.5 Cartesian Vectors

2.6 Addition of Cartesian Vectors

2.7 Position Vectors

2.8 Force Vector Directed Along a Line

2.9 Dot Product

**3 Force System Resultants**

Chapter Objectives

3.1 Moment of a Force–Scalar Formulation

3.2 Cross Product

3.3 Moment of a Force–Vector Formulation

3.4 Principle of Moments

3.5 Moment of a Force about a Specified Axis

3.6 Moment of a Couple

3.7 Simplification of a Force and Couple System

3.8 Further Simplification of a Force and Couple System

3.9 Reduction of a Simple Distributed Loading

**4 Equilibrium of a Rigid Body**

Chapter Objectives

4.1 Conditions for Rigid-Body Equilibrium

4.2 Free-Body Diagrams

4.3 Equations of Equilibrium

4.4 Two- and Three-Force Members

4.5 Free-Body Diagrams

4.6 Equations of Equilibrium

4.7 Characteristics of Dry Friction

4.8 Problems Involving Dry Friction

**5 Structural Analysis**

Chapter Objectives

5.1 Simple Trusses

5.2 The Method of Joints

5.3 Zero-Force Members

5.4 The Method of Sections

5.5 Frames and Machines

**6 Center of Gravity, Centroid, and Moment of Inertia**

Chapter Objectives

6.1 Center of Gravity and the Centroid of a Body

6.2 Composite Bodies

6.3 Moments of Inertia for Areas

6.4 Parallel-Axis Theorem for an Area

6.5 Moments of Inertia for Composite Areas

**7 Stress and Strain**

Chapter Objectives

7.1 Introduction

7.2 Internal Resultant Loadings

7.3 Stress

7.4 Average Normal Stress in an Axially Loaded Bar

7.5 Average Shear Stress

7.6 Allowable Stress Design

7.7 Deformation

7.8 Strain

**8 Mechanical Properties of Materials**

Chapter Objectives

8.1 The Tension and Compression Test

8.2 The Stress—Strain Diagram

8.3 Stress—Strain Behavior of Ductile and Brittle Materials

8.4 Strain Energy

8.5 Poisson’s Ratio

8.6 The Shear Stress—Strain Diagram

**9 Axial Load**

Chapter Objectives

9.1 Saint-Venant’s Principle

9.2 Elastic Deformation of an Axially Loaded Member

9.3 Principle of Superposition

9.4 Statically Indeterminate Axially Loaded Members

9.5 The Force Method of Analysis for Axially Loaded Members

9.6 Thermal Stress

**10 Torsion**

Chapter Objectives

10.1 Torsional Deformation of a Circular Shaft

10.2 The Torsion Formula

10.3 Power Transmission

10.4 Angle of Twist

10.5 Statically Indeterminate Torque-Loaded Members

**11 Bending**

Chapter Objectives

11.1 Shear and Moment Diagrams

11.2 Graphical Method for Constructing

Shear and Moment Diagrams

11.3 Bending Deformation of a Straight Member

11.4 The Flexure Formula

11.5 Unsymmetric Bending

**12 Transverse Shear**

Chapter Objectives

12.1 Shear in Straight Members

12.2 The Shear Formula

12.3 Shear Flow in Built-Up Members

13 Combined Loadings

Chapter Objectives

13.1 Thin-Walled Pressure Vessels

13.2 State of Stress Caused by Combined Loadings

**14 Stress and Strain Transformation**

Chapter Objectives

14.1 Plane-Stress Transformation

14.2 General Equations of Plane-Stress Transformation

14.3 Principal Stresses and Maximum In-Plane Shear Stress

14.4 Mohr’s Circle–Plane Stress

14.5 Absolute Maximum Shear Stress

14.6 Plane Strain

14.7 General Equations of Plane-Strain Transformation

*14.8 Mohr’s Circle–Plane Strain

*14.9 Absolute Maximum Shear Strain

14.10 Strain Rosettes

14.11 Material Property Relationships

**15 Design of Beams and Shafts**

Chapter Objectives

15.1 Basis for Beam Design

15.2 Prismatic Beam Design

**16 Deflection of Beams and Shafts**

Chapter Objectives

16.1 The Elastic Curve

16.2 Slope and Displacement by Integration

*16.3 Discontinuity Functions

16.4 Method of Superposition

16.5 Statically Indeterminate Beams and Shafts–Method of Superposition

**17 Buckling of Columns**

Chapter Objectives

17.1 Critical Load

17.2 Ideal Column with Pin Supports

17.3 Columns Having Various Types of Supports

*17.4 The Secant Formula

**Appendix**

A Mathematical Review and Expressions

B Geometric Properties of An Area and Volume

C Geometric Properties of Wide-Flange Sections

D Slopes and Deflections of Beams

Preliminary Problems Solutions

Fundamental Problems

Solutions and Answers

Selected Answers

Index