Engineering Mechanics 2. Mechanics of Materials

Description

Preface Table of Contents Introduction Chapter 1 1 Tension and Compression in Bars 1.1 Stress 1.2 Strain 1.3 Constitutive Law 1.4 Single Bar under Tension or Compression 1.5 Statically Determinate Systems of Bars 1.6 Statically Indeterminate Systems of Bars 1.7 Supplementary Examples 1.8 Summary Chapter 2 2 Stress 2.1 Stress Vector and Stress Tensor 2.2 Plane Stress 2.2.1 Coordinate Transformation 2.2.2 Principal Stresses 2.2.3 Mohr’s Circle 2.2.4 The Thin-Walled Pressure Vessel 2.3 Equilibrium Conditions 2.4 Supplementary Examples 2.5 Summary Chapter 3 3 Strain, Hooke’sLaw 3.1 State of Strain 3.2 Hooke’s Law 3.3 Strength Hypotheses 3.4 Supplementary Examples 3.5 Summary Chapter 4 4 Bending of Beams 4.1 Introduction 4.2 SecondMoments of Area 4.2.1 Definitions 4.2.2 Parallel-Axis Theorem 4.2.3 Rotation of the Coordinate System, Principal Moments of Inertia 4.3 Basic Equations of Ordinary Bending Theory 4.4 Normal Stresses 4.5 Deflection Curve 4.5.1 Differential Equation of the Deflection Curve 4.5.2 Beams with one Region of Integration 4.5.3 Beams with several Regions of Integration 4.5.4 Method of Superposition 4.6 Influence of Shear 4.6.1 Shear Stresses 4.6.2 Deflection due to Shear 4.7 Unsymmetric Bending 4.8 Bending and Tension/Compression 4.9 Core of the Cross Section 4.10 Thermal Bending 4.11 Supplementary Examples 4.12 Summary Chapter 5 5 Torsion 5.1 Introduction 5.2 Circular Shaft 5.3 Thin-Walled Tubes with Closed Cross Sections 5.4 Thin-Walled Shafts with Open Cross Sections 5.5 Supplementary Examples 5.6 Summary Chapter 6 6 Energy Methods 6.1 Introduction 6.2 Strain Energy and Conservation of Energy 6.3 Principle of Virtual Forces and Unit Load Method 6.4 Influence Coefficients and Reciprocal Displacement Theorem 6.5 Statically Indeterminate Systems 6.6 Supplementary Examples 6.7 Summary Chapter 7 7 Buckling of Bars 7.1 Bifurcation of an Equilibrium State 7.2 Critical Loads of Bars, Euler’s Column 7.3 Supplementary Examples 7.4 Summary Index