Question $3(20$ points$)$

Consider the roof plan of a single$-$story single$-$family house shown below in Figure $2$ with a flat roof and located in New York City, New York. Using a dead load of $14$ psf$,$ standard roof live load, and vertical wind loading. compute the largest axial force of column C$1($both tensile and compressive$)$ using $($i$)$ ASD, $($ii$)$ LRFD$.$

Figure $2.$ Roof plan of a single$-$story single family wood house