For the beam and loading shown in the figure, integrate the load distribution to determine the

equation of the elastic curve for the beam, and the maximum deflection for the beam. Assume

that $El$ is constant for the beam. Assume $EI=26000kN*m^2,L=2\mathrm{.}8m,$ and $w_0=83$

$k\frac{N}{m}.$

$($a$)$ Use your equation for the elastic curve to determine the deflection at $x=1\mathrm{.}5m.$ Enter a

negative value if the deflection is downward, or a positive value if it is upward.

$($b$)$ Find the maximum deflection for the beam. Enter a negative value if the deflection is

downward, or a positive value if it is upward.

$($a$)v=$

$mm$

$($b$)v_{\text{m}\text{a}\text{x}}=$