Part $1$

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 $EI=90,000kN-m^2$ for the beam. Let $w_A=15k\frac{N}{m},w_B=43k\frac{N}{m},L=3\mathrm{.}00m.$

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:

$A_y=,kN$

$M_A=ikN-m$

Not the answers are not $0\mathrm{.}001683$ rad and $-3\mathrm{.}787$ mm