Problem No$.2$

Beam is loaded as shown in figure below. Neglect the weight of the beam.

A$.$ Determine the following: $(1$ point each$)$

a$.)$ The support reaction at point $A.$

b$.)$ The support reaction at point $C.$

c$.)$ The centroid of rectangular portion of the varying load

d$.)$ The centroid of triangular portion of the varying load

e$.)$ The shear force equation for segment $AB$

f$.)$ The bending moment equation for segment $AB$

g$.)$ The shear force equation for segment BC

h$.)$ The bending moment equation for segment $BC$

i$.)$ The distance between point $A^{}$ and the point where the shear force $VBC=0$

j$.)$ The degree of bending moment equations for both segments $AB$ and $BC.$

k$.)$ The maximum bending moment

B$.$ Draw the Shear Force and Bending Moment Diagrams: $(10$ points$)$