Question: A wood beam AB with a rectangular cross-section (4 in. 6 in.) serving as a roof purlin is simply supported by the top chords

A wood beam AB with a rectangular cross-section (4 in. × 6 in.) serving as a roof purlin is simply supported by the top chords of two adjacent roof trusses. The beam is subjected to distributed load q acting in the vertical direction through the centroid of the purlin cross-section. The top chords of the trusses have a slope a = 278. The purlin has a length L = 75 in. Determine the permissible distributed load q based on the allowable compressive and tensile stress in the beam σall = 2 ksi.L A y q B h

L A y q B h

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