Mechanics of Materials · Beam bending and transverse shear
Two candidate steel sections are available for a 3.8 m simply supported beam carrying a…
Problem
Two candidate steel sections are available for a 3.8 m simply supported beam carrying a uniform total load of 22 kN/m: a W250 × 32.7 (S_x = 388 × 10^3 mm^3) and a W310 × 28.3 (S_x = 375 × 10^3 mm^3). If the allowable bending stress is 150 MPa, determine whether each section is adequate and which is the lighter acceptable choice given the stated masses per unit length.
Hint
Mmax = wL²/8 for the 3.8 m simple span with w = 22 kN/m.
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