Question

A shaft is subjected to Bending Moment (\( M \)) and Torsional Moment (\( T \)), the equivalent torsional moment in the shaft is:

• A. \( \sqrt{M^2 + T^2} \)
• B. \( \frac{1}{2} \sqrt{M^2 + T^2} \)
• C. \( M + \frac{1}{2} \sqrt{M^2 + T^2} \)
• D. \( T + \frac{1}{2} \sqrt{M^2 + T^2} \)

Hint:

For shafts subjected to both bending and torsion the combined effect is calculated using the Pythagorean theorem to find the equivalent torsional moment

Answer 1

The Correct Option is A

For a shaft experiencing both bending moment (\( M \)) and torsional moment (\( T \)), the equivalent torsional moment is calculated using the formula:

\( \text{Equivalent Moment} = \sqrt{M^2 + T^2} \)

This formula integrates bending and torsional moment effects to determine the shaft's total stress.