Problem $3$: Consider the frame structure shown below. C is a fixed support and $A$ is a roller. EI

is constant. During your analysis, neglect axial and shear deformation of the members. Consider

only deformation due to bending. Check your solution using MASTAN. Clearly label your steps.

a$)$ Using the flexibility method, determine the reactions at the supports.

b$)$ Draw the bending moment diagrams for both members.

c$)$ If the members are made of concrete, will cracks appear on member $AB?$ If yes, where?

Assume, cross section of AB is rectangular, $6"$ x $12",$ Young's modulus E $=4000$ksi, Yield

Strength of Concrete is $400$ psi