Consider an elastic straight beam of length 𝐿 = 10 𝜋 m with square cross-section of side a = 5 mm and Young’s modulus E = 200 GPa

Q. Consider an elastic straight beam of length 𝐿 = 10 𝜋 m, with square cross-section of side a = 5 mm, and Young’s modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler-Bernoulli beam theory is applicable to this bending problem, the maximum tensile bending stress in the bent beam is_____MPa.

Sol:

By bending equation,