$(4$ points$)$ Difficulty $(2/5)$

A simply$-$supported beam is subjected to the forces and coupled moments. The dimensions of the beam and the values of the forces and couple moments are:

$a=5\mathrm{.}9m$

$b=5\mathrm{.}7m$

$c=4\mathrm{.}4m$

$C=160kN-m$

$F=16kV$

$w=22k\frac{N}{m}$

Determine the support reactions at the left and rights supports. Determine the shearing force and bending moment at the following locations. Finally, determine the maximum bending moment and the location along the length of the bearn where the maximum bending moment occurs.

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

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

Shear Forces and Bending Moments

At $x_1=2\mathrm{.}8m($from the left support$)$

$V_{x1}=$

$M_{x1}=$

$At{x}_2=7\mathrm{.}9m(from$ the left support$)$

$V_{x2}=$

$M_{x2}=$

$At{x}_3=14\mathrm{.}7m(from$ the left support$)$

$V_{x3}=$

$M_{x3}=$

At $x_2=7\mathrm{.}9m($from the left support$)$

At $x_3=14\mathrm{.}7m($from the left support$)$

Maximum Bending Moment

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

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