Exercise $39\mathrm{.}1$:

Use singularity functions to solve for the slope and deflection curves of the prismatic beam for the loading shown in terms of EI$.$

a$.$ What is the slope of the beam at the left support.

b$.$ What is the beam deflection at midspan? Assume the beam is prismatic with constant flexural stiffness $EI=4\mathrm{.}64*{10}^7$kip$-i{n}^2.$

Exercise $39\mathrm{.}2$: Use singularity functions to solve for:

a$.$ the slope at the free end of the beam

a$.$ the deflection at the free end of the beam

Assume the beam is prismatic with constant flexural stiffness

$EI=4\mathrm{.}64*{10}^{7}kp*i{n}^2.$