A beam ABC is loaded with a uniformly distributed load of $25k\frac{N}{m}$ and a point load of $50kN$ as shown in Figure A$2.$ It also carries a load of $60kN$ from a column seated on the beam at point $B.$ The beam section is rectangular with dimensions of $200mm600mm,$ and the column is $200mm200mm.$ By using Young's modulus of elasticity, $E=20k\frac{N}{m}{m}^2$ and analyse the following:

a$.$ Calculate the deflection and slope at $C.$

b$.$ Determine the maximum deflection along span $AB.$

c$.$ Draw the deflected shape of the beam by indicating all the important values.

d$.$ Draw the bending moment and shear force diagrams.

e$.$ Draw the bending stress distribution across the section with the maximum bending along span $AB.$

f$.$ Draw the shear stress distribution across the section at supports A and $B.$

g$.$ Determine the bearing stress on the beam under the column.