In: Mechanical Engineering
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.
(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.