2nd Edition

Mechanics of Solids and Structures

By Roger T. Fenner, J.N. Reddy Copyright 2012
    705 Pages 512 B/W Illustrations
    by CRC Press

    A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (fourth or fifth year) courses/modules in the mechanics of solid/advanced strength of materials, offered in aerospace, civil, engineering science, and mechanical engineering departments. Now, Mechanics of Solid and Structure, Second Edition presents the latest developments in computational methods that have revolutionized the field, while retaining all of the basic principles and foundational information needed for mastering advanced engineering mechanics.

    Key changes to the second edition include full-color illustrations throughout, web-based computational material, and the addition of a new chapter on the energy methods of structural mechanics. Using authoritative, yet accessible language, the authors explain the construction of expressions for both total potential energy and complementary potential energy associated with structures. They explore how the principles of minimal total potential energy and complementary energy provide the means to obtain governing equations of the structure, as well as a means to determine point forces and displacements with ease using Castigliano’s Theorems I and II. The material presented in this chapter also provides a deeper understanding of the finite element method, the most popular method for solving structural mechanics problems.

    Integrating computer techniques and programs into the body of the text, all chapters offer exercise problems for further understanding. Several appendices provide examples, answers to select problems, and opportunities for investigation into complementary topics. Listings of computer programs discussed are available on the CRC Press website.

    Introduction
    Modeling of Engineering Systems
    Review of Statics
    Concepts of Stress and Strain
    Influence of Material Properties
    Principles of Mechanics of Solids
    Use of Numerical Methods and Computers

    Statically Determinate Systems
    Pin-Jointed Structures
    Uniformly Loaded Thin Shells
    Flexible Cables

    Relationships between Stress and Strain
    Hydrostatic Stress and Volumetric Strain
    Elastic Stress–Strain Equations
    Other Stress–Strain Relationships
    Deformations of Statically Determinate Systems

    Statically Indeterminate Systems
    Pin-Jointed Structures
    Other Statically Indeterminate Systems

    Bending of Beams: Moments, Forces, and Stresses
    Some Practical Examples of Beams
    Shear Forces and Bending Moments in Beams
    Stresses Due To Bending
    Combined Bending and Axial Loads

    Bending of Beams-Deflections
    Relationship between Curvature and Bending Moment
    Deflection of Statically Determinate Beams
    Deflection of Statically Indeterminate Beams
    Computer Method for Beam Deflections

    Torsion
    Torsion of Shafts
    Statically Determinate Torsion Problems
    Statically Indeterminate Torsion Problems
    Combined Bending and Torsion

    Instability and the Buckling of Struts and Columns
    Stable, Neutral, and Unstable Equilibrium
    Buckling of Pin-Ended Struts
    Struts and Columns with Other End Conditions

    Transformations of Stress and Strain
    Transformation of Stress
    Transformation of Strain
    Computer Method for Stresses and Strains at a Point
    Yield and Fracture Criteria

    Equilibrium and Compatibility Equations: Beams and Thick-Walled Cylinders
    Stress Equilibrium Equations
    Strain Compatibility Equations
    Application to Beam Bending
    Application to Thick-Walled Cylinders and Disks

    Energy Methods of Structural Mechanics
    Concepts of Work and Energy
    Strain Energy and Complementary Strain Energy
    Virtual Work and Complementary Virtual Work
    Variational Operator and Fundamental Lemma
    The Principle of Virtual Displacements and its Special Cases
    The Principle of Virtual Forces and its Special Cases

    Appendices
    Appendix A: Properties of Materials
    Appendix B: Moments of Area
    Appendix D: Deflections and Slopes for Some Common Cases of the Bending of
    Uniform Beams

    Index

    Biography

    Fenner, Roger T.; Reddy, J.N.

    "Each topic is introduced in a careful and systematic manner, developing complexity gently, so that it nurtures and develops a joy for structural systems and the contemporary tools used to solve structural engineering challenges."
    —Professor Feargal Brennan, Cranfield University