Elementary Mechanics of Solid

Abstract

THIS book has been written for the student commencing a first course in Mechanics of Solids (or Strength of Materials) for a university degree in engineering, diploma of technology, or higher national certificate. The content should be adequate for the first two years of a lecture course in the subject at most establishments. Mechanics of Solids might be defined as the analysis of load, displacement, stress and strain which occur in solid bodies. The material may be in a state of elasticity or plasticity, but this book is only concerned with the former. The subject is based on three fundamental principles, namely, equilibrium of forces, geometry and compatibility of deformations, and a stress-strain relationship. The aim of the book is to engrain these principles firmly into the mind of the reader, along with the concept of simplifying assumptions about behaviour, in order to obtain the simpler engineering solutions in Solid Mechanics, as compared with the more rigorous treatment in the Theory of Elasticity. Emphasis is also laid on the recognition of problems which are statically determinate and those which are statically indeterminate. These concepts are introduced in relation to simple uniaxial stress and strain systems in Chapters 1 and 2. This leads into the detailed treatment in Chapter 3 of biaxial stress and strain systems and the generalized stress-strain relationships. The basic principles discussed earlier are applied in Chapters 4 and 5 to develop a theory for bending, and in Chapter 6 a theory for torsion. The final chapter discusses some cases in which the combined effects of bending and torsion occur. There is a number of worked examples throughout the text to assist the reader in applying the relationships developed, and there are unworked problems at the end of each chapter with a