Mechanics of Solids and Structures

A popular text in its first edition, Mechanics of Solids and Structures serves as a course text for the senior/graduate (4th or 5th 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