Consider the $30-$mm diameter pipe, with

one end fixed.

With a neat FBD$,$ find all the support reactions at the fixed end

Showing all calculations, obtain all the stresses at point $A$ on the cross$-$section

Draw the state of stress at $A$ on a volume element. Find principal stresses at $A$

For a ductile material, $S_y=250$MPa, find factor of safety at A using MSST and DET.

Draw failure envelopes for MSST and DET and show the load line.

If material is brittle, $S_{vt}=200$MPa,$S_w=250$MPa,$K_T=1\mathrm{.}5,$ obtain factor of safety at A using

CMT and MMT$.$ Draw failure envelope for CMT and MMT$,$ showing the load line. $(4$ points$)$

Cross$-$section at fixed end, showing point $A$ :