A semicircular bar AB lying in a horizontal plane is supported at B (see figure). The bar has centerline radius R and weight q per unit of length (total weight of the bar equals πqR). The cross section of the bar is circular with diameter d.
Obtain formulas for the maximum tensile stress σt, maximum compressive stress σc, and maximum in-plane shear stress τmax at the top of the bar at the support due to the weight of the bar.