For the beam and loading shown, use discontinuity functions to compute

$($a$)$ the slope of the beam at $B.$

$($b$)$ the deflection of the beam at $B.$

Assume a constant value of $EI=120,000kN-m^2$ for the beam. Let $w_A=11k\frac{N}{m},w_B=37k\frac{N}{m},L=4\mathrm{.}25m.$

Calculate the reaction force $A_y$ and the reaction moment, $M_A,$ acting on the beam. Positive values for the reactions are indicated

by the directions of the red arrows shown on the free$-$body diagram below. $($Note: Since $A_x=0,$ it has been omitted from the free$-$

body diagram.$)$

Answers:

$A_y=$

$kN$

$M_A=$

$kN-m$