A$.$ Consider the beam below. All plates are A$572,$ Gr $50.$ Floor decks laterally brace the top

flange. Calculate the factored load Pu that the beam can resist taking only shear failure into

consideration. $30$ pts

B$.$ Verify the available shear strength and adequacy of a C$15\backslash$times $33\mathrm{.}9$ ASTM A$36$ channel with

end shears of $17\mathrm{.}5$ kips from dead load and $52\mathrm{.}5$ kips from live load. $10$ pts

C$.$ For the cross$-$section shown below, if applied bending moment about $x-x$ axis is $60\%$ of the

plastic moment capacity, how much factored axial load $P_r$ can be applied to the cross$-$section?

The member is short therefore no need to consider overall buckling or lateral torsional

buckling. $40$ pts

D$.$ As illustrated in figure a round HSS spans $20$ ft and supports a $10-$kip factored load at midspan

that acts at a $6$ in$.$ eccentricity with respect to the shear center. Design $($choose section$)$ only

considering torsion. $20$ pts

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