Transcription of CHAPTER 3 Two-Dimensional Problems in Elasticity
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CHAPTER 3 Two-Dimensional Problems in Elasticity
95 CHAPTER 3 Two-Dimensional Problems in has been pointed out in Sec. , the approaches in widespread use for determin-ing the influence of applied loads on elastic bodies are the mechanics of materialsor elementary theory(also known as technical theory) and the theory of must rely on the conditions of equilibrium and make use of a relationship be-tween stress and strain that is usually considered to be associated with elastic mate-rials. The essential difference between these methods lies in the extent to which thestrain is described and in the types of simplifications mechanics of materials approach uses an assumed deformation mode orstrain distribution in the body as a whole and hence yields the averagestress at asection under a given loading. Moreover, it usually treats separately each simpletype of complex loading, for example, axial centric, bending, or torsion.
98 Chapter 3 Two-Dimensional Problems in Elasticity (3.3) and (3.4) Because is not contained in the other governing expressions for plane strain, it is determined independently by applying Eq. (3.4).
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