Problem $2[30$ pts$].$ Consider the same problem #$1,$ but this time look at the bending of the beam. It is a cantilevered $($fixed at A$)$ beam with a square cross section $(100mm100mm)$ and is made of steel and is fixed at point A$.$ A force of $2$ kN is applied at its end, going through point C$.$ The Young's Modulus of Steel is $E=200$ GPa. First, $($a$)$ Draw the moment diagram and show all work $($FBDs$,$ moment diagram$).$ Part $1$ for Point B: $($b$)$ Calculate the bending stress $$ of the material at point B$.($c$)$ Calculate the normal strain $$ at $B.$ Refer to the moment diagram.

Part $2$ for Point D: $($d$)$ Calculate the bending stress $$ of the material at point D$.($e$)$ Calculate the normal strain $$ at D$.$

Note that Point B and D are a different x locations along the beam, but they have the same location in terms of its measurement from the neutral axis $($top of the beam$).$ Hint: $=-M\frac{y}{\text{I}}$ and $=E)$

$2kN$