The rigid beam is supported by the two posts $A,$ and $B$ of equal length $(L=1m.$ Post A has

a diameter of $75$ mm and is made of a material for which $E=7$GPa and ${}_Y=20$MPa. Post B

has a diameter of $20$ mm and is made of a material for which $E^{\text{'}}=100$GPa and ${}_{Y^{\text{'}}}=590$MPa.

If a force $P=200kN$ is applied detemine the residual stress in each post. Consier the materials

to be elastic perfectly plastic, the rigid beam has to remain horizontal $(1$ point$).$