beam from below.

a$)$ Develop an equation for the elastic curve $($slope and deflection$).$

$(10$ points$)$

b$)$ Determine the maximum deflection, if $I=204i{n}^4.(7\mathrm{.}5$ points$)$

c$)$ Determine the moment of inertia I to limit the deflection to $\frac{L}{360}.(7\mathrm{.}5$ points$)$

$*$Assume E $=29000$ ksi. Neglect the beam's self$-$weight.

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