Problem $1$

For the W$12$X$106$ member and applied loading shown in the figure, determine whether the

member is safe. Note that the loads in the figure are $30\%$ dead load and $70\%$ live load.

Bending is about the $x-$axis only, and the steel has $Fy=50$ksi. The beam$-$column is pin$-$pin $($i$.$e$.$

$K_x=K_y=1\mathrm{.}0)$ and laterally supported at ends. The cross$-$section properties can be found in the

database. Feel free to use the beam design charts for determining beam strength. Neglect

Self$-$weight.