$[2]$ Problem $2$:

The figure below shows a $3$ noded beam with rectangular cross$-$section. There is a concentrated force and moment acting at Node $2$ as shown in the figure.

d

Figure $2$: Beam configuration II

Material Properties, load values and dimensions:

E$=90$GPa,b$=50$mm$,$d$=50$mm$,$L$=250$mm$,$P$=40$NM$=40$N$.$m

Note: Assume that node $1$ is the origin of the system

a$8$pts $8$pts x$=($L$)/(4)(8$pts$)$

e$\backslash$sigma $\_($x$)$ as a function of y $($along the cross$-$section$)$ at Node $1$ and at pts