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A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is:
  • a)
    2000N-m
  • b)
    2050N-m
  • c)
    2100N-m
  • d)
    2136 N-m
Correct answer is option 'D'. Can you explain this answer?
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A shaft is subjected to fluctuating loads for which the normal torque ...
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A shaft is subjected to fluctuating loads for which the normal torque ...
Solution:

Given:

Normal torque, T = 1000 N-m

Bending moment, M = 500 N-m

Combined shock and fatigue factor for bending, Kmb = 1.5

Combined shock and fatigue factor for torsion, Kmt = 2

To find: Equivalent twisting moment for the shaft

We can use the modified Goodman relation to find the equivalent twisting moment for the shaft:

((T/Kmt)^2 + (M/Kmb)^2)^0.5 = Teq/K

Here, Teq is the equivalent twisting moment and K is the combined shock and fatigue factor.

Substituting the given values, we get:

((1000/2)^2 + (500/1.5)^2)^0.5 = Teq/1.5

Teq = ((1000/2)^2 + (500/1.5)^2)^0.5 * 1.5

Teq = 2135.94 N-m

Rounding off to the nearest integer, we get:

Teq = 2136 N-m

Therefore, the equivalent twisting moment for the shaft is 2136 N-m.
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A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is:a)2000N-mb)2050N-mc)2100N-md)2136 N-mCorrect answer is option 'D'. Can you explain this answer?
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A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is:a)2000N-mb)2050N-mc)2100N-md)2136 N-mCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is:a)2000N-mb)2050N-mc)2100N-md)2136 N-mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is:a)2000N-mb)2050N-mc)2100N-md)2136 N-mCorrect answer is option 'D'. Can you explain this answer?.
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