Current Attempt in Progress

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

$($a$)$ the deflection $v_A$ of the beam at $A,$ and

$($b$)$ the deflection $v_{\text{m}\text{i}\text{d}\text{s}\text{p}\text{a}\text{n}}$ of the beam at midspan $($i$.$e$.,x=2\mathrm{.}5m).$

Assume a constant value of $EI=1660kN-m^2$ for the beam; $M_A=9\mathrm{.}3kN-m,w_0=19\mathrm{.}7k\frac{N}{m},L_{AB}=1\mathrm{.}1m,L_{BC}=2\mathrm{.}8m.$

Answer:

$($a$)v_A=$

$mm.$

$($b$)v_{\text{m}\text{i}\text{d}}=$

$mm.$