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Beams and bending 
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#1
Nov2612, 07:49 AM

P: 1

A couple M will be applied to a beam of rectangular cross section from a log of circular cross section. determine the ratio d/b so that maximum stress will be minimum
σmax = M(d/2)/((1/12)bd^{3}) σmax = 6M/(b*d2) and d^{2} + b^{2} = D^{2} D =diameter of the circle but i can't find the ratio.. i know the answer of d/b is sqrt 2 how can i get the answer? do i need differentiate? if yes how should i do the differentiation?? 


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