LSC CPS2 (MIT) an Introduction to the Mechanics of Solids

This text is concerned with the mechanics of rigid and deformable solids in equilibrium. It has been prepared by members of the Mechanical Engineering Department at the Massachusetts Institute of Technology for use as a text in the first course in applied mechanics. The central aim has been to treat this subject as an engineering science. To this end the authors have clearly identified three fundamental physical considerations which govern the mechanics of solids in equilibrium, and all discussion and theoretical development has been related to these basic considerations.

Table of Contents:
Preface to the second edition Preface to the second edition with SI units Preface to the first edition Chapter One Fundamental Principles of Mechanics 1.1 Introduction 1.2 Generalized procedure 1.3 The fundamental principles of mechanics 1.4 The concept of force 1.5 The moment of a force 1.6 Conditions for equilibrium 1.7 Engineering applications 1.8 Friction 1.9 Examples 1.10 Hooke's joint 1.11 Final remarks Problems Chapter Two Introduction to Mechanics of Deformable Bodies 2.1 Analysis of deformable bodies 2.2 Uniaxial loading and deformation 2.3 Statically determinate situations 2.4 Statically indeterminate situations 2.5 Computer analysis of trusses 2.6 Elastic energy;Castigliano's theorem 2.7 Summary Problems Chapter Three Forces and Moments Transmitted by Slender Members 3.1 Introduction 3.2 General method 3.3 Distributed loads 3.4 Resultants of distributed loads 3.5 Differential equilibrium relationships 3.6 Singularity functions 3.7 Fluid forces 3.8 Three-dimensional problems Problems Chapter Four Stress and Strain 4.1 Introduction 4.2 Stress 4.3 Plane stress 4.4 Equilibrium of a differential element in plane stress 4.5 Stress components associated with arbitrarily oriented faces in plane stress 4.6 Mohr's circle representation of plane stress 4.7 Mohr's circle representation of a general state of stress 4.8 Analysis of deformation 4.9 Definition of strain components 4.10 Relation between strain and displacement in plane strain 4.11 Strain components associated with arbitrary sets of axes 4.12 Mohr's circle representation of plane strain 4.13 Mohr's circle representation of a general state of stress 4.14 Measurement of strains 4.15 Indicial notation Problems Chapter Five Stress-strain-temperature Relations 5.1 Introduction 5.2 The tensile test 5.3 Idealizations of stress-strain curves 5.4 Elastic stress-strain relations 5.5 Thermal strain 5.6 Complete equations of elasticity 5.7 Complete elastic solution for a thick-walled cylinder 5.8 Strain energy in an elastic body 5.9 Stress concentration 5.10 Composite materials and anisotropic elasticity 5.11 Criteria for initial yielding 5.12 Behavior beyond initial yielding in the tensile test 5.13 Fracture of ductile specimens and structures 5.14 Fracture of brittle specimens and structures 5.15 Fatigue 5.16 Criteria for continued yielding 5.17 Plastic stress-strain relations 5.18 Viscoelasticity Problems Chapter Six Torsion 6.1 Introduction 6.2 Geometry of deformation of a twisted circular shaft 6.3 Stresses obtained from stress-strain relations 6.4 Equilibrium requirements 6.5 Stress and deformation in a twisted elastic circular shaft 6.6 Torsion of elastic hollow circular shafts 6.7 Stress analysis in torsion; combined stresses 6.8 Strain energy due to torsion 6.9 The onset of yielding in torsion 6.10 Plastic deformations 6.11 Residual stresses 6.12 Limit analysis 6.13 Torsion of rectangular shafts 6.14 Torsion of hollow, thin-walled shafts Problems Chapter Seven Stresses Due to Bending 7.1 Introcustion 7.2 Geometry of deformation of a symmetrical beam subjected to pure bending 7.3 Stresses obtained from stress-strain relations 7.4 Equilibrium requirements 7.5 Stress and deformation in symmetrical elastic beams subjected to pure bending 7.6 Stresses in symmetrical elastic beams transmitting both shear force and bending moment 7.7 Stress analysis in bending; combined stresses 7.8 Strain energy due to bending 7.9 The onset of yielding in bending 7.10 Plastic deformations 7.11 Bending of unsymmetrical beams 7.12 Shear flow in thin-walled open sections; shear center Problems Chapter Eight Deflections Due to Bending 8.1 Introduction 8.2 The moment-curvature relation 8.3 Integration of the moment-curvature relation 8.4 Superposition 8.5 The load-deflection differential equation 8.6 Energy methods 8.7 Limit analysis Problems Chapter Nine Stability of Equilibrium: Buckling 9.1 Introduction 9.2 Elastic stability 9.3 Examples of instability 9.4 Elastic stability of flexible columns 9.5 Elastic postbuckling behavior 9.6 Instability as a mode of failure 9.7 Necking of tension members 9.8 Plastic buckling Problems Answers to Selected Problems Index s