Example $2.$

Fig. $2$ shows the beam AD simply supported at A and on a roller bearing at $C.$ On it acts a continuous load between $A-B,B-C$ and $C-D,$ a discrete vertical force at $B$ and discrete horizontal force at $D.$ The cross section of the beam is shown below it$.$

picture $2$

$2\mathrm{.}1$ Determine the basic forces, and the normal force and shear force curve for the beam.

$2\mathrm{.}2$ Determine the bending moment curve for the beam.

$2\mathrm{.}3$ Determine the moment of inertia of the cross section, Iz$,$ ly and lyz$.$

$2\mathrm{.}4$ Determine the maximum compressive and tensile stress in the beam. Specify where in the bit they are.