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Extension, Bending, and Torsion

  • Phillip L. Gould
Chapter

Abstract

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.

Keywords

Shear Stress Cantilever Beam Stress Function Elementary Theory Short Side 
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References

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    Timoshenko S, Goodier JN (1951) Theory of elasticity, 2nd edn. McGraw-Hill Book Company Inc., New YorkGoogle Scholar
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    Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New YorkGoogle Scholar
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    Filonenko-Borodich M (1965) Theory of elasticity. Dover Publications Inc., New YorkGoogle Scholar
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    Timoshenko S, Gere JM (1951) Theory of elastic stability. McGraw-Hill Book Company Inc., New YorkGoogle Scholar
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    Volterra E, Gaines JH (1971) Advanced strength of materials. Prentice-Hall Inc., Englewood Cliffs, NJGoogle Scholar
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    Ugural AC, Fenster SK (1975) Advanced strength and applied elasticity. Elsevier-North Holland, New YorkGoogle Scholar

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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