THE ANALYSIS OF STRESS AND DEFORMATION
This book was prepared for a course in the mechanics of deformable
bodies at the authors' institution, and is at a level suitable for advanced
undergraduate or first-year graduate students. It differs from the traditional
treatment by going more deeply into the fundamentals and giving less emphasis
to the design aspects of the subject. In the first two chapters the principles
of stress and strain are presented and a sufficient introduction is given to the
theory of elasticity so that the student can see how exact solutions of problems
can be derived, and can appreciate the nature of the approximations embodied
in some commonly used simplified solutions. The third chapter is devoted to
the bending of beams, and the fourth chapter treats the instability of elastic
systems.
bodies at the authors' institution, and is at a level suitable for advanced
undergraduate or first-year graduate students. It differs from the traditional
treatment by going more deeply into the fundamentals and giving less emphasis
to the design aspects of the subject. In the first two chapters the principles
of stress and strain are presented and a sufficient introduction is given to the
theory of elasticity so that the student can see how exact solutions of problems
can be derived, and can appreciate the nature of the approximations embodied
in some commonly used simplified solutions. The third chapter is devoted to
the bending of beams, and the fourth chapter treats the instability of elastic
systems.
Applications to axially symmetric problems, curved beams, and stress
concentrations are discussed in Chapter 5; applications to torsion problems
are discussed in Chapter 6; applications to problems of plates and shells are
discussed in Chapter 7. Applications to problems involving viscous and plastic
behavior are treated in Chapter 8, and problems of wave propagation are
treated in Chapter 9. An introduction to numerical methods of solving
problems is given in Chapter 10. An introduction to tensor notation by means
of the equations of elasticity is given in Appendix I. Experimental methods of
determining stresses by means of strain gages, brittle coatings, and photoelasticity
are described in Appendices I1 and 111. A brief introduction to
variational methods is presented in Appendix IV.
concentrations are discussed in Chapter 5; applications to torsion problems
are discussed in Chapter 6; applications to problems of plates and shells are
discussed in Chapter 7. Applications to problems involving viscous and plastic
behavior are treated in Chapter 8, and problems of wave propagation are
treated in Chapter 9. An introduction to numerical methods of solving
problems is given in Chapter 10. An introduction to tensor notation by means
of the equations of elasticity is given in Appendix I. Experimental methods of
determining stresses by means of strain gages, brittle coatings, and photoelasticity
are described in Appendices I1 and 111. A brief introduction to
variational methods is presented in Appendix IV.
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