Problem $3$b$.1$

The compound beam is supported by a roller at A and

a fixed support at $C$ and has an internal hinge at $B.$

The linearly increasing $($triangular$)$ distributed load

increases from $0$ at point $A$ to a value of $1\mathrm{.}5ki\frac{p}{f}t$ at

point $B.$ Neglect the weight of the beam itself.

Determine all of the support reactions as well as the

force on the internal hinge at $B.$ Express all answers

as a vector and also provide their scalar magnitude

and vector direction $($i$.$e$.$ unit vector$).$

Answer: $F_A=3$kip;$F_B=6$kip;$F_C=9$kip;$M_C=60$kip$-ft$;

Can you declare all variables and explain where they came from