材料力學教程

本書屬於教育科學“十五”國家規劃課題研究成果，是根據高等學校“材料力學課程教學基本要求”編寫而成。

全書包括緒論、軸向拉伸與壓縮、扭轉、彎曲內力、彎曲應力、彎曲變形、應力狀態分析、複雜應力狀態強度問題、壓桿穩定問題、疲勞強度問題與能量法等十一章。為便於學習，每章后均附有複習題與習題。

書中內容包括基本與擴展（用*標記）兩部分。基本部分是為中學時類材料力學課程所編寫；基本部分與擴展部分，則覆蓋了多學時類材料力學課程的教學基本要求。

本書具有簡明扼要、論述嚴謹、重視基礎與應用以及教學適用性強等特點，同時在教學內容與體系方面也進行了適當更新。

本書可作為高等學校工科本科各專業材料力學課程的教材，也可供高職高專與成人高校師生及有關工程技術人員參考。

Chapter1　Introduction

§1-1　Objectives of Mechanics of Materials

§1-2　Basic Assumptions of Mechanics of Materials

§1-3　External and Internal Forces

§1-4　Normal and Shear Stresses

§1-5　Normal and Shear Strains

Problems

Exercises

Chapter2　Tension and Compression

§2-1　Introduction

§2-2　Axial Force and Axial Force Diagrams

§2-3　Stress in an Axially Loaded Bar; Saint Venent’s Principle

§2-4　Mechanical Properties of Materials under Axial Tension and　Compression

§2-5　Concept of Stress Concentration

§2-6　Allowable stress and Strength Condition

§2-7　Hooke’ s Law and Deformations of Axially Loaded Bar; Superposition Principle

§2-8　Statically Indeterminate Problem in Tension and Compression

§2-9　Stress and Strength of Connections

Problems

Exercises

Chapter3　Torsion

§3-1　Introduction

§3-2　Power Transmission and Torque

§3-3　Theorem of Conjugate Shearing Stresses; Hooke’ s law in shear

§3-4　Torsional Stresses in a Circular Shaft

§3-5　Polar Moment of Inertia; Section Modulus in Torsion

§3-6　Failure and Strength Condition of Circular Shafts

§3-7　Torsion Deformation of Circular Shaft; Tortional Stiffness Condition

§3-8　Statically Indeterminate Problem in Torsion

§3-9　A Brief Introduction to Torsion of Noncircular Shafts

Problems

Exercises

Chapter4　Internal Forces in Bending

§4-1　Introduction

§4-2　Flexural Loading and Types of Beams

§4-3　Shear Forces and Bending Moments

§4-4　Shear Force and Bending Moment Diagrams

§4-5　Relations among Shear Forces,Bending Moments and Loads

§4-6　Shear Forces and Bending Moments of Beams under Nonuniformly Distributed loads

§4-7　Internal Forces in Frames

Problems

Exercises

Chapter5　Bending Stresses

§5-1　Introduction

§5-2　Normal Stresses in Symmetric Bending

§5-3　Shear Stresses in Symmetric Bending

§5-4　Strength Conditions of Beam; Optimum Design of Beam for Strength

§5-5　Unsymmetrical Bending of Doubly Symmetric Beams

§5-6　Combined Bending and Axial Load

§5-7　Unsymmetrical Bending and Concept of Shear Centre

Problems

Exercises

Chapter 6　Deflections of Beams

§6-1　Introduction

§6-2　Differential Equations of the Deflection Curve

§6-3　Using Direct Integration Method to Determine the Deflection of Beams

§6-4　Using Singularity Functions to Determine the Deflection of Beams

§6-5　Using Superposition Method to Determine the Deflection of Beams

§6-6　Statically Indeterminate Beams

§6-7　Stiffness Conditions of Beams; Optimum Design of Beams for stiffness

Problems

Exercises

Chapter7　Analysis of Stress

§7-1　Introduction

§7-2　Analysis of Plane Stress

§7-3　Maximum and Principle Stresses

§7-4　Maximum Stress in Three Dimensional Stress

§7-5　Generalized Hook’s law

§7-6　Analysis of Strain; Stress Measurement Using StrainGage Method

§7-7　A Brief Introduction to Stress Strain Relations of Composite Materials

Problems

Exercises

Chapter8 Theories of Failure and Their Applications

§8-1　Introduction

§8-2　Maximum Tensile Stress Theory; Maximum Tensile Strain Theory

§8-3　Maximum Shearing Stress Theory; Distortion Energy Theory

§8-4　Combined Bending and Torsion; Combined bending, Torsion and Axial Load

§8-5　Combined bending,Torsion and Axial Load of Bars with Rectangular Section

§8-6　Thin Walled Cylinder

§8-7　Concepts of Stress Intensity Factor and FractureToughness

Problems

Exercises

Chapter9　Columns

§9-1　Concepts of Stability

§9-2　Critical Load for Pin Ended Column

§9-3　Critical Loads for Non Pin Ended Columns

§9-4　Critical Stresses for Intermediate and Short Columns

§9-5　Stability Conditions and Optimum Design of Columns

Problems

Exercises

Chapter10 Fatigue

§10-1　Introduction

§10-2　Alternating Stress and it’s Type

§10-3　S N Curve; Fatigue Limit of Materials

§10-4　Main Factors Affecting the Endurance Limit

§10-5　Fatigue Analysis of Members under Symmetrical Alternating Stress

§10-6　Fatigue Analysis of Members under Nonsymmetrical and Combined Bending and Torsion Alternating Stresses

§10-7　A Brief Introduction to Cumulative Damage Theorem

Problems

Exercises

Chapter11　Energy Method

§11-1　Introduction

§11-2　Work and Strain Energy

§11-3　Unit Load Method

§11-4　Analysis of Statically Indeterminate Problems

§11-5　Stresses Produced by Impact

Problems

Exercises

Appendix A Moment of Inertia and Product of Inertia

§A-1　Static Moment and Centroid of Area

§A-2　Moment of Inertia

§A-3　Parallel Axis Theory of Moment of Inertia

§A-4　Product of Inertia; Parallel Axis Theorem for Product of Inertia

§A-5　Transformation Equations and Principle Moment of Inertia

Problems

Exercises

Appendix B　Mechanical Properties of Common Materials

Appendix C Geometrical Properties of Common Areas

Appendix D Torsion of Noncircular Shafts

Appendix E Beam Deflection and Slopes

Appendix F Properties of Rolled Steel Shapes

References

Answers

Index

Synopsis

Contents

A Brief Introduction to the Author