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A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_______
Correct answer is '23.009'. Can you explain this answer?
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A hollow circular shaft has an outer diameter of 100 mm and inner diam...
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A hollow circular shaft has an outer diameter of 100 mm and inner diam...
Given data:
Outer diameter, D = 100 mm
Inner diameter, d = 50 mm
Allowable shear stress, τ = 125 MPa
To find: Maximum torque, T
Assumption:
The shaft is made up of a homogeneous material and the shear stress is uniform across the section.
Formula used:
Polar moment of inertia, J = π/2 (D^4 - d^4)
Maximum shear stress, τmax = T/J
Calculation:
Polar moment of inertia, J = π/2 (D^4 - d^4)
J = π/2 ((0.1)^4 - (0.05)^4)
J = 2.287 * 10^-6 m^4
Maximum shear stress, τmax = T/J
125 MPa = T/(2.287 * 10^-6 m^4)
T = 286.75 N-m = 0.28675 kN-m (Answer)
Therefore, the maximum torque that the shaft can resist is 0.28675 kN-m.
Note: The given answer is incorrect. The correct answer is 0.28675 kN-m, not 23.009 kN-m.
Outer diameter, D = 100 mm
Inner diameter, d = 50 mm
Allowable shear stress, τ = 125 MPa
To find: Maximum torque, T
Assumption:
The shaft is made up of a homogeneous material and the shear stress is uniform across the section.
Formula used:
Polar moment of inertia, J = π/2 (D^4 - d^4)
Maximum shear stress, τmax = T/J
Calculation:
Polar moment of inertia, J = π/2 (D^4 - d^4)
J = π/2 ((0.1)^4 - (0.05)^4)
J = 2.287 * 10^-6 m^4
Maximum shear stress, τmax = T/J
125 MPa = T/(2.287 * 10^-6 m^4)
T = 286.75 N-m = 0.28675 kN-m (Answer)
Therefore, the maximum torque that the shaft can resist is 0.28675 kN-m.
Note: The given answer is incorrect. The correct answer is 0.28675 kN-m, not 23.009 kN-m.
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A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_______Correct answer is '23.009'. Can you explain this answer?
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A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_______Correct answer is '23.009'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_______Correct answer is '23.009'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is_______Correct answer is '23.009'. Can you explain this answer?.
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