Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

A W$25032\mathrm{.}7$ structural steel $E=200$GPa wideflange shape is loaded and supported as shown. A uniformly distributed load of $w=$

$10k\frac{N}{m}$ is applied to the beam, causing the roller support at $B$ to settle downward $($i$.$e$.,$ displace downward$)$ by $13mm.$ Determine:

$($a$)$ the reactions at supports $A,B,$ and $C.$

$($b$)$ the maximum bending stress ${}_{\text{m}\text{a}\text{x}}$ in the beam.

Assume $L_{AB}=5m,L_{BC}=6\mathrm{.}3m.$

Answers:

$($a$)A=$

$kN,B=$

$kN,C=$

$kN.$

$($b$){}_{\text{m}\text{a}\text{x}}=$

MPa.

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