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We are given the frame shown in Figure $2.$ The frame is subjected to distributed loads wo due to Dead Loads, wl due to Live Loads and ws due to Snow loads, as drown in the figure. The values are $w_D=0\mathrm{.}50ki\frac{p}{f}t,w{L}_L=0\mathrm{.}90ki\frac{p}{f}t,$ and $w_s=0\mathrm{.}25ki\frac{p}{f}t.$ We are given that $I_{AB}=600i{n}^4,I_{BC}=900i{n}^4,$ and $E=25,000$ksi. The effect of axial deformations is neglected.

Figure $3$

Find the maximum positive moment and the maximum negative moment of member $BC,$ for the following $2$ combinations:

$1\mathrm{.}2($Dead Loads$)+1\mathrm{.}6($Live Loads$)+0\mathrm{.}5($Snow Loads$)$

$1\mathrm{.}2($Dead Loads$)+1\mathrm{.}6($Snow Loads$)+($Live Loads$)$

Hint: Is it possible to only solve the structure for the Dead Loads, and use this solution to find the values that we are looking for?

$2$