Please solve this within $2$ hours.

The concrete beam $($E$=30,000$MPa$)$ illustrated below is supported by a pin at A and a roller at C$.$ The triangular load varies from $0$ to $4$kN$//$m from location A to B$.$ In addition, two concentrated forces are also applied to the beam: a $5$ kN load at location D and a $6$ kN load at location E $.$ The beam section is illustrated in the figure. Determine.

a$.$ Shear force and bending moment diagrams. Label the values of shear and moment at locations A$,$B$,$C and D as well as any local maximum or minimum values.

b$.$ At a stress of $2\mathrm{.}5$ MPa $,$ the concrete in the beam will crack in tension. Will this beam crack under the given loading? Provide supporting calculations to prove your answer. If the beam cracks, provide the location of the crack.

c$.$ Determine the actual moment value $($M$\_($cr$))$ that will cause cracking of the beam at the bottom.

d$.$ Determine the corresponding curvature associated with M$\_($cr$).$

NOTE: All dimensions shown in the cross$-$section are in mm