Synopses & Reviews
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.
Synopsis
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 editionPreface to the second edition with SI unitsPreface to the first editionChapter One Fundamental Principles of Mechanics1.1 Introduction1.2 Generalized procedure1.3 The fundamental principles of mechanics1.4 The concept of force1.5 The moment of a force1.6 Conditions for equilibrium1.7 Engineering applications1.8 Friction1.9 Examples1.10 Hooke's joint1.11 Final remarksProblemsChapter Two Introduction to Mechanics of Deformable Bodies2.1 Analysis of deformable bodies2.2 Uniaxial loading and deformation2.3 Statically determinate situations2.4 Statically indeterminate situations2.5 Computer analysis of trusses2.6 Elastic energy;Castigliano's theorem2.7 SummaryProblemsChapter Three Forces and Moments Transmitted by Slender Members3.1 Introduction3.2 General method3.3 Distributed loads3.4 Resultants of distributed loads3.5 Differential equilibrium relationships3.6 Singularity functions3.7 Fluid forces3.8 Three-dimensional problemsProblemsChapter Four Stress and Strain4.1 Introduction4.2 Stress4.3 Plane stress4.4 Equilibrium of a differential element in plane stress4.5 Stress components associated with arbitrarily oriented faces in plane stress4.6 Mohr's circle representation of plane stress4.7 Mohr's circle representation of a general state of stress4.8 Analysis of deformation4.9 Definition of strain components4.10 Relation between strain and displacement in plane strain4.11 Strain components associated with arbitrary sets of axes4.12 Mohr's circle representation of plane strain4.13 Mohr's circle representation of a general state of stress4.14 Measurement of strains4.15 Indicial notationProblemsChapter Five Stress-strain-temperature Relations5.1 Introduction5.2 The tensile test5.3 Idealizations of stress-strain curves5.4 Elastic stress-strain relations5.5 Thermal strain5.6 Complete equations of elasticity5.7 Complete elastic solution for a thick-walled cylinder5.8 Strain energy in an elastic body5.9 Stress concentration5.10 Composite materials and anisotropic elasticity5.11 Criteria for initial yielding5.12 Behavior beyond initial yielding in the tensile test5.13 Fracture of ductile specimens and structures5.14 Fracture of brittle specimens and structures5.15 Fatigue5.16 Criteria for continued yielding5.17 Plastic stress-strain relations5.18 ViscoelasticityProblemsChapter Six Torsion6.1 Introduction6.2 Geometry of deformation of a twisted circular shaft6.3 Stresses obtained from stress-strain relations6.4 Equilibrium requirements6.5 Stress and deformation in a twisted elastic circular shaft6.6 Torsion of elastic hollow circular shafts6.7 Stress analysis in torsion; combined stresses6.8 Strain energy due to torsion6.9 The onset of yielding in torsion6.10 Plastic deformations6.11 Residual stresses6.12 Limit analysis6.13 Torsion of rectangular shafts6.14 Torsion of hollow, thin-walled shaftsProblemsChapter Seven Stresses Due to Bending7.1 Introcustion7.2 Geometry of deformation of a symmetrical beam subjected to pure bending7.3 Stresses obtained from stress-strain relations7.4 Equilibrium requirements7.5 Stress and deformation in symmetrical elastic beams subjected to pure bending7.6 Stresses in symmetrical elastic beams transmitting both shear force and bending moment7.7 Stress analysis in bending; combined stresses7.8 Strain energy due to bending7.9 The onset of yielding in bending7.10 Plastic deformations7.11 Bending of unsymmetrical beams7.12 Shear flow in thin-walled open sections; shear centerProblemsChapter Eight Deflections Due to Bending8.1 Introduction8.2 The moment-curvature relation8.3 Integration of the moment-curvature relation8.4 Superposition8.5 The load-deflection differential equation8.6 Energy methods8.7 Limit analysisProblemsChapter Nine Stability of Equilibrium: Buckling9.1 Introduction9.2 Elastic stability9.3 Examples of instability9.4 Elastic stability of flexible columns9.5 Elastic postbuckling behavior9.6 Instability as a mode of failure9.7 Necking of tension members9.8 Plastic bucklingProblemsAnswers to Selected ProblemsIndex s