Question: A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in

A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in bending and shear are σallow and τ allows, respectively.
(a) If the beam is simply supported, what is the span length L0 below which the shear stress governs the allowable load and above which the bending stress governs?
(b) If the beam is supported as a cantilever, what is the length L0 below which the shear stress governs the allowable load and above which the bending stress governs?

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