1 Basic Concepts in Strength of Materials

1-1 Objective of this Book—to Ensure Safety

1-2 Objectives of this Chapter

1-3 Problem-Solving Procedure

1-4 Basic Unit Systems

1-5 Relationship Among Mass,Force,and Weight

1-6 The Concept of Stress

1-7 Direct Normal Stress

1-8 Stress Elements for Direct Normal Stresses

1-9 Direct Shear Stress

1-10 Stress Elements for Shear Stresses

1-11 Bearing Stress

1-12 The Concept of Strain

1-13 Poisson's Ratio

1-14 Shearing Strain

1-15 Modulus of Elasticity

1-16 Modulus of Elasticity in Shear

1-17 Preferred Sizes and Standard Shapes

1-18 Experimental and Computational Stress Analysis

Problems

2 Design Properties of Materials

2-1 Objectives of this Chapter

2-2 Metals in Mechanical and Structural Design

2-3 Steel

2-4 Cast Iron

2-5 Aluminum

2-6 Copper,Brass,and Bronze

2-7 Zinc,Magnesium,and Titanium

2-8 Nonmetals in Engineering Design

2-9 Wood

2-10 Concrete

2-11 Plastics

2-12 Composites

Problems

3 Design of Members under Direct Stresses

3-1 Objectives of this Chapter

3-2 Design of Members under Direct Tension or Compression

3-3 Design Normal Stresses

3-4 Design Factor

3-5 Design Approaches and Guidelines for Design Factors

3-6 Methods of Computing Design Stress

3-7 Design Shear Stress

3-8 Design Bearing Stress

3-9 Stress Concentration Factors

Problems

4 Axial Deformation and Thermal Stress

4-1 Objectives of this Chapter

4-2 Elastic Deformation in Tension and Compression Members

4-3 Deformation Due to Temperature Changes

4-4 Thermal Stress

4-5 Members Made of More Than One Material

Problems

5 Torsional Shear Stress and Torsional Deformation

5-1 Objectives of this Chapter

5-2 Torque,Power,and Rotational Speed

5-3 Torsional Shear Stress in Members with Circular Cross Sections

5-4 Development of the Torsional Shear Stress Formula

5-5 Polar Moment of Inertia for Solid Circular Bars

5-6 Torsional Shear Stress and Polar Moment of Inertia for Hollow Circular Bars

5-7 Design of Circular Members under Torsion

5-8 Comparison of Solid and Hollow Circular Members

5-9 Twisting—Elastic Torsional Deformation

Problems

Computer Assignments

6 Shearing Forces and Bending Moments in Beams

6-1 Objectives of this Chapter

6-2 Beam Loading,Supports,and Types of Beams

6-3 Reactions at Supports

6-4 Shearing Forces and Bending Moments for Concentrated Loads

6-5 Guidelines for Drawing Beam Diagrams for Concentrated Loads

6-6 Shearing Forces and Bending Moments for Distributed Loads

6-7 General Shapes Found in Bending Moment Diagrams

6-8 Shearing Forces and Bending Moments for Cantilever Beams

Problems

7 Centroids and Moments of Inertia of Areas

7-1 Objectives of this Chapter

7-2 The Concept of Centroid—Simple Shapes

7-3 Centroid of Complex Shapes

7-4 The Concept of Moment of Inertia

7-5 Moment of Inertia of Composite Shapes whose Parts have the Same Centroidal Axis

7-6 Moment of Inertia for Composite Shapes—General Case—Use of the Parallel Axis Theorem

7-7 Mathematical Definition of Moment of Inertia

7-8 Moment of Inertia for Shapes with all Rectangular Parts

7-9 Radius of Gvration

Problems

Computer Assignments

8 Stress Due to Bending

8-1 Objectives of this Chapter

8-2 The Flexure Formula

8-3 Conditions on the Use of the Flexure Formula

8-4 Stress Distribution on a Cross Section of a Beam

8-5 Derivation of the F1exure Formula

8-6 Applications—Beam Analysis

8-7 Applications—Beam Design and Design Stresses

8-8 Section Modulus and Design Procedures

Problems

Computer Assignments

9 Shearing Stresses in Beams

9-1 Objectives of this Chapter

9-2 Importance of Shearing Stresses in Beams

9-3 The General Shear Formula

9-4 Distribution of Shearing Stress in Beams

9 5 Development of the General Shear Formula

9-6 Special Shear Formulas

9-7 Design Shear Stress

Problems

10 Special Cases of Combined Stresses

10-1 Objectives of this Chapter

10-2 The Stress Element

10-3 Stress Distribution Created by Basic Stresses

10-4 Combined Normal Stresses

10-5 Combined Normal and Shear Stresses

Problems

11 The General Case of Combined Stress and Mohr's Circle

11-1 Objectives of this Chapter

11-2 Creating the Initial Stress Element

11-3 Equations for Stresses in Any Direction

11-4 Principal Stresses

11-5 Maximum Shear Stress

11-6 Mohr's Circle for Stress

11-7 Special Case in which Both Principal Stresses have the Same Sign

11-8 The Maximum Shear Stress Theory of Failure

Problems

Computer Assignments

12 Deflection of Beams

12-1 Objectives of this Chapter

12-2 The Need for Considering Beam Deflections

12-3 Definition of Terms

12-4 Beam Deflections Using the Formula Method

12-5 Superposition Using Deflection Formulas

12-6 Basic Principles for Bearn Deflection by Successive Integration Method

12-7 Beam Deflections—Successive Integration Method—General Approach

Problems

Computer Assignments

13 Statically Indeterminate Beams

13-1 Objectives of this Chapter

13-2 Formulas for Statically Indeterminate Beams

13-3 Superposition Method

Problems

Computer Assignment

14 Columns

14-1 Objectives of This Chapter

14-2 Slenderness Ratio

14-3 Transition Slenderness Ratio

14-4 The Euler Formula for Long Columns

14-5 The J.B.Johnson Formula for Short Columns

14-6 Summary—Buckling Formulas

14-7 Design Factors for Columns and Allowable Load

14-8 Summary—Method of Analyzing Columns

14-9 Efficient Shapes for Column Cross Sections

Problems

Computer Assignments

Appendix

Answers to Selected Problems

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