Task

For the beam shown below, $(1)$ determine $($a$)$ the support reactions $R_A,R_B$ and $R_C,($b$)$ the Shear Force Diagram, $($c$)$ the Bending Moment Diagram and $($d$)$ the Deflection Diagram $($ie$-$ profile$).$ Assume the flexural stiffness EI is constant for the entire beam. Solve using the principles of superposition