Question

The ratio of moment carrying capacity of a square cross-section beam of dimension D to the moment carrying capacity of a circular cross-section of diameter D is:

• A. $$\frac{16}{3\pi}$$
• B. $$\frac{16}{\pi}$$
• C. $$\frac{16}{5\pi}$$
• D. $$\frac{8}{3\pi}$$

Answer 1

Answer:

$$\frac{16}{3\pi}$$

The moment carrying capacity of a square cross-section beam of dimension D to the moment carrying capacity of a circular cross-section of diameter D is $\frac{16}{3\pi}$ This is obtained by calculating the section modulus of both shapes and taking their ratio. The MOI of circle and square cross-sections are given. Using the formula for section modulus and substituting the values, we get the ratio of moment carrying capacity.