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A shaft is subjected to a bending moment M = 400 N.m alld torque T = 300 N.m The equivalent bending moment is:
- a)900 N.m
- b)700 N.m
- c)500 N.m
- d)450 N.m
Correct answer is option 'D'. Can you explain this answer?
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A shaft is subjected to a bending moment M = 400 N.m alld torque T = 3...
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A shaft is subjected to a bending moment M = 400 N.m alld torque T = 3...
Solution:
Given: Bending moment M = 400 N.m and Torque T = 300 N.m
We know that the maximum equivalent bending moment (M_eq) occurs when the plane of cross-section is perpendicular to the plane of torque.
The formula for the equivalent bending moment is given by:
M_eq = √(M^2 + T^2)
Substituting the given values, we get:
M_eq = √(400^2 + 300^2)
M_eq = √(160000 + 90000)
M_eq = √250000
M_eq = 500 N.m
Therefore, the equivalent bending moment is 500 N.m. Hence, the correct answer is option D.
Explanation:
- Definition of bending moment and torque.
- Formula for the equivalent bending moment.
- Substitution of given values in the formula.
- Calculation of the equivalent bending moment.
- Conclusion.
Given: Bending moment M = 400 N.m and Torque T = 300 N.m
We know that the maximum equivalent bending moment (M_eq) occurs when the plane of cross-section is perpendicular to the plane of torque.
The formula for the equivalent bending moment is given by:
M_eq = √(M^2 + T^2)
Substituting the given values, we get:
M_eq = √(400^2 + 300^2)
M_eq = √(160000 + 90000)
M_eq = √250000
M_eq = 500 N.m
Therefore, the equivalent bending moment is 500 N.m. Hence, the correct answer is option D.
Explanation:
- Definition of bending moment and torque.
- Formula for the equivalent bending moment.
- Substitution of given values in the formula.
- Calculation of the equivalent bending moment.
- Conclusion.
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A shaft is subjected to a bending moment M = 400 N.m alld torque T = 300 N.m The equivalent bending moment is:a)900 N.mb)700 N.mc)500 N.md)450 N.mCorrect answer is option 'D'. Can you explain this answer?
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