P$11\mathrm{.}27$ For the beam and loading shown in Figure P$11\mathrm{.}27,$ derive an expression for the reactions at supports A and $C.$ Assume that $EI$ is constant for the beam.

FIGURE P$11\mathrm{.}27$

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P$11\mathrm{.}27$

$A_y=\frac{57wL}{64}$uarr,$C_y=\frac{7wL}{64}$uarr

$M_A=\frac{9w{L}^2}{32}(CCW)$