Applied Statics and Strength of Materials

This fifth edition of Applied Statics and Strength of Materials presents a non-calculus based elementary, analytical and practical approach to the principles and physical concepts of statics and strength of materials. The book focuses on the mastery of basic principles. It features a rigorous, comprehensive step-by-step problem-solving approach; an abundance of worked-out examples and homework problems; and a focus on principles and applications for many fields of engineering technology.

Features of this text include:

• Revised and updated content enhances the teaching aspects of the text.
• Each chapter is written to introduce more complex material gradually.
• Numerous computer problems help reinforce students’ understanding of the concepts.
• Problems at the end of each chapter are grouped and referenced to a specific section. These problems are followed by a group of supplemental problems provided for review purposes. Generally, problems are arranged in order of increasing difficulty.
• Design and analysis aids are included in an extensive appendix section, making the book self-contained. Both U.S. Customary and SI date are presented.

1 Introduction

1-1             Mechanics Overview

1-2             Applications of Statics

1-3             The Mathematics of Statics

1-4             Calculations and Numerical Accuracy

1-5             SI Units for Statics and Strength of Materials

Summary

Problems

2. Principles of Statics

2-1       Forces and the Effects of Forces

2-2       Characteristics of a Force

2-3       Units of a Force

2-4       Types and Occurrence of Forces

2-5       Scalar and Vector Quantities

2-6       The Principle of Transmissibility

2-7       Types of Force Systems

2-8       Orthogonal Concurrent Forces: Resultants and Components

Summary

Problems

3. Resultants of Coplanar Force Systems

3-1       Resultant of Two Concurrent Forces

3-2       Resultant of Three of More Concurrent Forces

3-3       Moment of a Force

3-4       The Principle of Moments: Varignon’s Theorem

3-5       Resultants of Parallel Force Systems

3-6       Couples

3-7       Resultants of Nonconcurrent Force Systems

Summary

Problems

4.  Equilibrium of Coplanar Force Systems

4-1       Introduction

4-2       Conditions of Equilibrium

4-3       The Free-Body Diagram

4-4       Equilibrium of Concurrent Force Systems

4-5       Equilibrium of Parallel Force Systems

4-6       Equilibrium of Nonconcurrent Force Systems

Summary

Problems

5. Analysis of Structures

5-1       Introduction

5-2       Trusses

5-3       Forces in Members of Trusses

5-4       The Method of Joints   

5-5       The Method of Sections

5-6       Analysis of Frames

Summary

Problems

6.  Friction

6-1       Introduction

6-2       Friction Theory

6-3       Angle of Friction

6-4       Friction Applications

6-5       Wedges

6-6       Belt Friction

6-7       Square-Threaded Screws

Summary

Problems

7.  Centroids and Centers of Gravity

7-1       Introduction

7-2       Center of Gravity

7-3       Centroids and Centroidal Axes

7-4       Centroids and Centroidal Axes of Composite Areas

Summary

Problems

8.  Area Moments of Inertia

8-1       Introduction and Definitions

8-2       Moment of Inertia

8-3       The Transfer Formula

8-4       Moment of Inertia of Composite Areas

8-5       Radius of Gyration

8-6       Polar Moments of Inertia

Summary

Problems

9.  Stresses and Strains

9-1       Introduction

9-2       Tensile and Compressive Stresses

9-3       Shear Stresses

9-4       Tensile and Compressive Strain and Deformation

9-5       Shear Strain

9-6       The Relation between Stress and Strain (Hooke’s Law)

Summary

Problems

10.  Properties of Materials

10-1     The Tension Test

10-2     The Stress-Strain Diagram

10-3     Mechanical Properties of Materials

10-4     Engineering Materials: Metals

10-5     Engineering Materials: Nonmetals

10-6     Allowable Stresses and Calculated Stresses

10-7     Factor of Safety

10-8     Elastic-Inelastic Behavior

Summary

Problems

11.  Stress Considerations

11-1     Poisson’s Ratio

11-2     Thermal Effects

11-3     Members Composed of Two or more Elements

11-4     Stress Concentration

11-5     Stresses on Inclined Planes

11-6     Shear Stresses on Mutually Perpendicular Planes

11-7     Tension and Compression Caused By Shear

Summary

Problems

12.  Torsion in Circular Sections

12-1     Introduction

12-2     Members in Torsion

12-3     Torsional Shear Stress

12-4     Angle of Twist

12-5     Transmission of Power by a Shaft

Summary

Problems

13.  Shear and Bending Moment in Beams

13-1     Types of Beams and Supports

13-2     Types of Loads on Beams

13-3     Beam Reactions

13-4     Shear Force and Bending Moment

13-5     Shear Diagrams

13-6     Moment Diagrams

13-7     Sections of Maximum Moment

13-8     Moving Loads

Summary

Problems

14.  Stresses in Beams

14-1     Tensile and Compressive Stresses Due to Bending

14-2     The Flexure Formula

14-3     Computation of Bending Stresses

14-4     Shear Stresses

14-5     The General Shear Formula

14-6     Shear Stresses in Structural Members

14-7     Beam Analysis

14-8     Inelastic Bending of Beams

Summary

Problems

15.  Deflection of Beams

15-1     Reasons for Calculating Beam Deflection

15-2     Curvature and Bending Moment

15-3     Methods of Calculating Deflections

15-4     The Formula Method

15-5     The Moment-Area Method

15-6     Moment Diagram By Parts

15-7     Applications of the Moment-Area Method

Summary

Problems

16.  Design of Beams

16-1     The Design Process

16-2     Design of Steel Beams

16-3     Design of Timber Beams

Summary

Problems

17.  Combined Stresses

17-1     Introduction

17-2     Biaxial Bending

17-3     Combined Axial and Bending Stresses

17-4     Eccentrically Loaded Members

17-5     Maximum Eccentricity for Zero Tensile Stress

17-6     Eccentric Load Not on Centroidal Axis

17-7     Combined Normal and Shear Stress

17-8     Mohr’s Circle

17-9     Mohr’s Circle: The General State of Stress

Summary

Problems

18.  Columns

18-1     Introduction

18-2     Ideal Columns

18-3     Effective Length

18-4     Real Columns

18-5     Allowable Stresses for Columns

18-6     Axially-Loaded Structural Steel Columns (AISC)

18-7     Axially-Loaded Steel Machine Parts

18-8     Axially-Loaded Timber Columns

Summary

Problems

19.  Connections

19-1     Introduction

19-2     Bolts and Bolted Connections (AISC)

19-3     Modes of Failure of a Bolted Connection

19-4     High-Strength Bolted Connections

19-5     Introduction to Welding

19-6     Strength and Behavior of Welded Connections (AISC)

Summary

Problems

20.  Pressure Vessels

20-1     Introduction

20-2     Stresses in Thin-Walled Pressure Vessels

20-3     Joints in Thin-Walled Pressure Vessels

20-4     Design and Fabrication Considerations

Summary

Problems

21.  Statically Indeterminate Beams

21-1     Introduction

21-2     Restrained Beams

21-3     Propped Cantilever Beams

21-4     Fixed Beams

21-5     Continuous Beams: Superposition

21-6     The Theorem of Three Moments

Summary

Problems

Appendices

Notation

Answers to Selected Problems

Index