A thin cylindrical vessel of mean diameter $$D$$ and of length $$'L'$$ closed at both the ends is subjected to a water pressure $$'P'$$. The value of hoop stress and longitudinal stress in the shell shall be respectively.

For a given shear force across a symmetrical $$'{\rm I}'$$ section the intensity of shear stress is maximum at the

A beams having a double cantilever attached at mid span is showing in the figure. The nature of forces in beam $$'ab'$$ is

A cantilever beam of tubular section consists of 2 materials copper as outer cylinder and steel as inner cylinder. It is subjected to a temperature rise of $$20^\circ C$$ and $$\alpha_{copper}\;>\;\alpha_{steel}$$ the stresses developed in the tubes will be