Table of Contents

Statics
1 General Principles
1.1 Mechanics
1.2 Fundamental Concepts
1.3 Units of Measurement
1.4 The International System of Units
1.5 Numerical Calculations
1.6 General Procedure for Analysis

2 Force Vectors
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
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

4 Equilibrium of a Rigid Body
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
4.9 Frictional Forces on Flat Belts
4.10 Frictional Forces on Screws

5 Structural Analysis
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
6.1 Center of Gravity, Center of Mass, and the Centroid of a Body
6.2 Composite Bodies
6.3 Resultant of a Distributed Loading
6.4 Moments of Inertia for Areas
6.5 Parallel-Axis Theorem for an Area
6.6 Moments of Inertia for Composite Areas

7 Stress and Strain
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
7.7 Design of Simple Connections
7.8 Deformation
7.9 Strain

Mechanics of Materials
8 Mechanical Properties of Materials
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 Hooke’s Law
8.5 Strain Energy
8.6 Poisson’s Ratio
8.7 The Shear Stress—Strain Diagram

9 Axial Load
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 Member
9.5 The Force Method of Analysis for Axially Loaded Members
9.6 Thermal Stress
9.7 Stress Concentrations

10 Torsion
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
*10.6 Solid Noncircular Shafts
10.7 Stress Concentration

11 Bending
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
11.6 Stress Concentrations

12 Transverse Shear
12.1 Shear in Straight Members
12.2 The Shear Formula
12.3 Shear Flow in Built-Up Members

13 Combined Loadings
13.1 Thin-Walled Pressure Vessels
13.2 State of Stress Caused by Combined Loadings

14 Stress and Strain Transformation
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 Strain Rosettes
14.10 Material-Property Relationships

15 Design of Beams and Shafts
15.1 Basis for Beam Design
15.2 Prismatic Beam Design
*15.3 Fully Stressed Beams

16 Deflection of Beams and Shafts
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
17.1 Critical Load
17.2 Ideal Column with Pin Supports
17.3 Columns Having Various Types of Supports
*17.4 The Secant Formula
*17.5 Inelastic Buckling

Appendices
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
Fundamental Problems Partial Solutions and Answers
Answers to Selected Problems
Index