Consider the diagram shown below depicting a T$-$Section from a long beam.

a$)$ If the beam is subjected to an internal moment of $100[kNm]$ as depicted. Determine the bending stress developed at points $A,B$ and $C.$

b$)$ Sketch the bending stress distribution in both $2D$ and $3D$ for the cross$-$section.

c$)$ Calculate the compressive and the tensile force that acts on the section as a result of the moment.

d$)$ Calculate the percentage of the moment that is carried by the compressively loaded area of the section.

Support your analysis with clear and detailed sketches.