The $1515$ in$.$ column shown below must extend from footing level to the second floor of a braced

frame structure with an unsupported length of $20\mathrm{.}5ft.$ Exterior exposure requires $2in.$ clear cover for the

outermost steel. Analysis indicates that the critical loading corresponds with the following service loads:

$($a$)$ from dead loads, $P=180$ kips, $M_0=30ft-$kips, $M_{ht}=15ft-$kips; $($b$)$ from live loads, $P=110$ kips,

$M_{\text{s}\text{e}\text{s}}=60ft-$kips, $Mh{s}^s=30ft-$kips, with the column bent in double curvature as shown. The effective

length factor $k$ determined using Fig. $10\mathrm{.}13$ a is $0\mathrm{.}90.$ Material strengths are $f_c^{\text{'}}=4000$ and

$f_y=60000.$ Using the ACI moment magnifier method, determine whether the column is adequate to

resist these loads. $(20$pt$)$