A shaft is subjected to a bending moment M = 400 N.m alld torque T = 3...
Given data:
Bending moment, M = 400 N.m
Torque, T = 300 N.m
To find: Equivalent bending moment
Formula used:
Equivalent bending moment, M_eq = √(M² + T²)
Calculation:
M_eq = √(400² + 300²)
M_eq = √(160000 + 90000)
M_eq = √250000
M_eq = 500 N.m
Therefore, the equivalent bending moment is 500 N.m.
Explanation:
A shaft is a mechanical component that is used to transmit power from one part of a machine to another. It is subjected to different types of loads such as bending moment, torque, axial load, etc. When a shaft is subjected to both bending moment and torque, the equivalent bending moment is calculated to determine the maximum bending stress. The equivalent bending moment is the maximum bending moment that would produce the same bending stress as the combined effect of bending moment and torque.
To calculate the equivalent bending moment, we use the formula M_eq = √(M² + T²), where M is the bending moment and T is the torque. In the given problem, the bending moment is 400 N.m and the torque is 300 N.m. Substituting these values in the formula, we get M_eq = √(400² + 300²) = √250000 = 500 N.m. Therefore, the equivalent bending moment is 500 N.m.
Conclusion:
The equivalent bending moment is an important parameter in the design of mechanical components such as shafts, beams, etc. It helps to determine the maximum bending stress that a component can withstand under combined loading conditions.
A shaft is subjected to a bending moment M = 400 N.m alld torque T = 3...
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