A bar of cross-section A is subjected to two equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle θ with the axis of the bar.
·What is the tensile stress on this plane?
·What is the shearing stress on this plane?
FAcos2θ,FsinθcosθA
A1=Acosθ
∴ Tensile stress =FcosθA=FAcos2θ
shear stress=FsinθA1=FsinθcosθA