A semicircular bar AB lying in a horizontal plane is supported at B (see figure part a). The bar has a 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 a diameter d.

(a) Obtain formulas for the maximum tensile stress σt, maximum compressive stress σ_c, and maximum in-plane shear stress π_max at the top of the bar at the support due to the weight of the bar.

(b) Repeat part (a) if the bar is a quarter-circular segment (see figure part b) but has the same total weight as the semicircular bar.

Transcribed Image Text:

R 0 d B 0 AL А R d B