Problem #$1(8$ Points$)$: Design an interior square column ${18}^{\text{'}\text{'}}{20}^{\text{'}\text{'}}$ for the second story of an $8$ story office building. The clear height of the first floor is $16ft,$ and the heiglat of all other foors is $11ft.$ The building layout is in $24$ bays, and the columns are not braced against sidesway. The Toads acting on a first$-$floor interior column due to gravity and wind are us follows:

Axial dead load $=250K$

Axial live load $=150K$

Axial wind load $=10K$

Dead $-$ load moments Top$)30K.$ ft $($Bottom$)$

Live $-$ load moments $=40K*ft($Top$)25K.ft($Bottom$)$

El for beams $=360{10}^{3}K*$ in$.$

Use $f^{\text{'}}c=5$ksi,$fy=60$ksi, and the ACI Code requirements. Assume an exterior column load of two$-$thirds the interior column load, a corner column load of one$-$third the interior column load.

use load combination $1\mathrm{.}2DL+1L+1W$