Extension, Torsion, and Flexure of Elastic Cylinders
This chapter investigates particular solutions to the problem of cylindrical bars subjected to forces acting on the end planes. The general problem is illustrated in Figure 9-1 where an elastic cylindrical bar with arbitrary cross-section R and lateral surface S carries general resultant end loadings of force P and moment M. The lateral surface is taken to be free of external loading. The cylindrical body is a prismatic bar, and the constant cross-section may be solid or contain one or more holes. Considering the components of the general loading leads to a definition of four problem types including extension, torsion, bending, and flexure. These problems are inherently three-dimensional, ...
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