Problem $3$: $(35$ Points$)$

A steel truss is uniformly loaded on both the top and bottom chord as shown in the figure below. The design tension force applied to the bottom chord is $100$kips$(T_u)$ and the applied uniformly distributed load $(w_u)$ is $1ki\frac{p}{f}t.$ The truss is constructed with simple connections and both top and bottom chords are fully braced in the lateral direction and constructed with W$5$ x $16($A$992)$ steel members.

Find: Ignore $2^{nd}$ order forces. Assume yield controls tension. Use LRFD

Axial capacity $($tension$),P_c$

Moment capacity about $x-$axis, $M_{cx}$

Moment capacity about Y $-$axis, $M_c$

Combined forces$/$capacity $($interaction$)$ ratio

Is the member adequate for strength?

Explain:

Method$/$Solution: