A C-180 × 15 rolled steel channel (Ix = 8.87 × 106 mm4, depth = 178 mm, width = 53 mm, and...

A C-180 × 15 rolled steel channel (Ix = 8.87 × 106 mm4, depth = 178 mm, width = 53 mm, and xB = 13.7 mm) is used as a simply supported beam as, for example, a purlin in a roof (Figure P7.25). If the slope of the roof is and the span of the purlin is 4 m. determine the maximum tensile and compressive stresses in the beam caused by a uniformly distributed vertical load of 1.00 kN/m.

FIGURE P7.25