CE $224$

$2024-2025$ Fall

An overhanging beam subjected to a uniform loading is supported by a pin at A and a roller at B$.$ The beam is made of two steel plates and a rotated I$-$profile made of aluminum. Highstrength bolts with a spacing of $0\mathrm{.}25$ m are used as shown in the figure. Take $E_{\text{s}\text{t}\text{e}\text{e}\text{l}}=200$GPa and $E_{\text{a}\text{l}\text{u}\text{m}\text{i}\text{n}\text{u}\text{m}}=100$GPa.

a$.$ Calculate the minimum shear strength of the bolts. $($Answer: $925$ N $)$

b$.$ Calculate the maximum vertical shear stress in the aluminum. $($Answer: $222$ kPa $)$