The semicircle with circular cross$-$section carries a load $F=1kN$ at its free end $($force is

acting perpendicularly to the plane of the paper$)$ and moment $M=2kNm$ at the mid$-$span.

The right side of a semicircle is fixed to the foundation.

Analyze the possibility of plastic deformation at points $A,B,$ and $C$ on the cross$-$section at the

plane of the foundation.

issume: $E=200$GPa. $G=70$GPa. and ${}_{\text{v}\text{i}\text{e}\text{l}\text{d}}=400$MPa.

$r=1m$

$d=40mm$

$F=1kN$

$(25$ marks$)$