Problem $1.(30$ pts$)$

$00041$

Consider the simply supported beam shown below, that has Young's Modulus E and Area Moment of Inertia I. The beam is subjected to two distinct loads$--$ a uniformly distributed load $p$ and an applied moment $M_{\text{A}\text{p}\text{p}}$ as indicated. Note that these loads are to be treated as known values.

a$)$ Determine the reactions at the supports.

b$)$ List the boundary conditions for this beam.

$($b$)$

Bes

$v(U)=c$

$v(L)=C$

c$)$ Determine the functional form $($equation$)$ for the beam deflection.

d$)$ Determine the deflection at the center of the beam.