$*6-20.$ The beam supports a uniform dead load of $500\frac{N}{m}$ and a single live concentrated force of $3000$ N $.$ Determine $($a$)$ the maximum positive moment that can be developed at $C,$ and $($b$)$ the maximum positive shear that can be developed at $C.$ Assume the support at $A$ is a roller and $B$ is a pin.

Problem $6-21$

Ans:

$($a$)(M_C{)}_{\text{m}\text{a}\text{x}}=30kN*m$

$($b$)(V_C{)}_{\text{m}\text{a}\text{x}}=4\mathrm{.}75kN$