A rod with a solid circular cross section is subjected to a bending moment M and a torque T . Obtain an expression for the radius R of the rod according to the Tresca criterion if the yield stress of...

A rod with a solid circular cross section is subjected to a bending moment
M
and a torque
T. Obtain an expression for the radius
R
of the rod according to the Tresca criterion if the yield stress of the material is
σ
_Y
and a safety factor of 2.5 is required.