Problem $2(30\%)$

$P_D=60k$

$P_L=70k$

A W$848$ section consisting of $50$ksi is used for a $14ft$ long beam$-$column in

a one$-$story building frame. It is unbraced in the plane of the frame $(x-$x axis$)$ but is braced out of the plane

of the frame $(y-$y axis$)$ so that $K_y=1\mathrm{.}0.K_x$ has been determined to equal $1\mathrm{.}67.$ A first$-$order analysis has been

completed and the results yielded a $P_{nt}$ load of $52k$ and a $P_{It}$ load of $16k.$ The factored $M_{ntx}$ moment was

found to be $96ft-k$ and a factored $M_{tx}$ moment of $50ft-k.$ The member is pinned at the base and is laterally

braced only at the top and the bottom. There are no transverse loads between the ends and $C_b=1\mathrm{.}0.$ The $P_{\text{s}\text{t}\text{o}\text{r}\text{y}}$

$=104k$ and the ratio of $\frac{P_m}{P_{\text{s}\text{t}\text{o}\text{r}\text{y}}}=1\mathrm{.}0.$ The story shear, $H,$ is equal to $4\mathrm{.}4k$ and the drift index $(\frac{H}{L})$ is

$0\mathrm{.}0025.$ Using the LRFD method, and the requirements of the effective length method, is the member

adequate?Problem $3(30\%)$

The member shown in is part of a braced frame. The load and moments are

computed from service loads, and the bending is about the x$-$axis. The frame

analysis was performed consistent with the effective length method, so the

flexural rigidity, EI$,$ was unreduced. Use $K_x=1.$ The load and moments are

$30\%$ dead load and $70\%$ live load. Use LRFD Method to determine whether

this member satisfies the AISC interaction equation. Exact calculation of $C_b$

is requiredProblem $3(30\%)$

The member shown in is part of a braced frame. The load and moments are

computed from service loads, and the bending is about the x$-$axis. The frame

analysis was performed consistent with the effective length method, so the

flexural rigidity, EI$,$ was unreduced. Use $K_x=1.$ The load and moments are

$30\%$ dead load and $70\%$ live load. Use LRFD Method to determine whether

this member satisfies the AISC interaction equation. Exact calculation of $C_b$

is required