$(10$ points$)$ Difficulty $(4/5)$

A simply$-$supported beam is subjected to the forces shown below. The dimensions of the beam and the values of the forces are:

$a=3\mathrm{.}6ft$

$b=1ft$

$c=3\mathrm{.}4ft$

$F=2\mathrm{.}1$kip

$w=3\mathrm{.}2ki\frac{p}{f}t$

Determine the support reactions at the left and rights supports. Determine the maximum bending moment and the location along the length of the beam where the maximum bending moment occurs. If the beam is a solid rod with a diameter of $4\mathrm{.}25$ in$,$ what is the maximum flexural stress the rod experiences?

Support Reactions

$R_{\text{L}\text{e}\text{f}\text{t}}=$

$$

$R_{\text{R}\text{i}\text{g}\text{h}\text{t}}=$

$$

Maximum Bending Moment $($enter your answer as a positive value; i$.$e$.$ the magnitude of the bending moment$)$

$M_{\text{m}\text{a}\text{x}}=,atx=$

$$

Maximum Flexural Stress $($enter your answer as a positive value$)$

$=$

$$ be sure to include units with your answers