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

$($a$)$ the slope ${}_B$ of the beam at $B,$ and

$($b$)$ the deflection $v_A$ of the beam at $A.$

Assume a constant value of $EI=63000kN-m^2$ for the beam; $w_A=30k\frac{N}{m},w_B=67k\frac{N}{m},L_{AB}=2\mathrm{.}6m,L_{BC}=1\mathrm{.}3m.$

Answers:

$($a$){}_B=$

rad.

$($b$)v_A=$

$mm.$