Consider a beam with a solid circular cross section of diameter d transmitting a transverse shear force V (a) Derive an expression for the average shear-stress distribution across the transverse surface. (b) Verify that the maximum shear stress occurs at y₁ = 0 and is given by Eq. (3.4-10). (c) Sketch the shear stresses on the transverse surface and discuss any possible inconsistencies in the distribution as related to geometry.