Extension, Bending, and Torsion

  • Phillip L. Gould


Some classical problems that may be solved within the assumptions of the strength-of-materials are examined by applying the theory of elasticity. It is anticipated that the elementary solutions are approximately correct, but deficient or incomplete in some way. In each case the isotropic material law is assumed to be applicable. The problems considered are a prismatic bar under axial load, an end-loaded cantilever beam, and torsion of circular shafts. Then a generalized theory of torsion applicable to members with noncircular prismatic cross-sections is developed.


Shear Stress Cantilever Beam Stress Function Elementary Theory Short Side 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Phillip L. Gould
    • 1
  1. 1.Department of Mechanical EngineeringWashington UniversitySt. LouisUSA

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