Question

When a shaft is subjected to combined twisting moment (T) and bending moment (M), the equivalent bending moment is equal to

• A. $$\sqrt{M^2+T^2}$$
• B. $$\sqrt{M^2+4T^2}$$
• C. $$\sqrt{4M^2+T^2}$$
• D. $$\frac{1}{2}[M+\sqrt{M^2+T^2}]$$

Answer 1

Answer:

$$\frac{1}{2}[M+\sqrt{M^2+T^2}]$$

The equivalent bending moment for a shaft subjected to combined twisting moment and bending moment is given by $M_{eq} =\frac{1}{2}[M+\sqrt{M^2+T^2}]$This equation takes into account both the bending and twisting moments acting on the shaft and provides a single value for the equivalent bending moment.