For the beam and loading shown, determine $($a$)$ the equation of the elastic curve for portion AB of the beam, $($b$)$ the deflection at midspan, $($c$)$ the slope at B NOTE $1$: All problems in Homework #$6$ are from the $7^{th}$ edition of the ME $323$ textbook $($not the $8^{th}$ edition$).$

Solve Problem $9\mathrm{.}7(77^{th}$ edition$).$ Start with $M(x)$ and proceed. $(8$ points$)$

To reduce the work required, you are given $M(x)=\frac{w_0}{24}L(3L^{2}x-4x^3)$ in region $AB.$

Also note that midspan in part $($b$)$ means halfway between points A and $B.$

$9\mathrm{.}7$ For the beam and loading shown, determine $($a$)$ the equation of the elastic curve for portion $AB$ of

the beam, $(b)$ the deflection at midspan, $(c)$ the slope at $B.$