Question

In: Mechanical Engineering

A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending...

A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending moment being 3 times the torque. If the direct tension yield point of the material is 300 MN/m2 and the factor of safety on yield is to be 4, calculate the allowable twisting moment by the three following theories of failure:
(a) Maximum principal stress theory
(b) Maximum shear stress theory
(c) Maximum shear strain energy theory.

Solutions

Expert Solution

(c)according to maximum shear strain energy theory shear strain energy per unit volume at failure is equal to maximum shear strain energy in uniaxial loading.


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