For beams of uniform strength, if depth is constant, then width is directly proportional to bending moment. Max bending moment; M=W.z (equation 1) Bending equation is: M/I = F/y = E/R M = F. (I/y) or F.Z = F. (bd‌2 /6) (equation 2) Now, equate equation 1 and 2 gives; F. (bd‌2 /6) = W.z b = {6W.z/Fd‌2 } or [6M/Fd‌2 ] Hence width is directly proportional to bending moment.