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A hollow circular shaft has outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress?
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A hollow circular shaft has outside diameter of 100 mmand inside diame...
Calculation of Maximum Shear Stress in a Hollow Circular Shaft
Given Data:
- Outside diameter (D) = 100 mm
- Inside diameter (d) = 80 mm
- Torque (T) = 12 kNm
Step 1: Calculate the radius of the shaft
- Radius of the outer circle (R) = D/2 = 100/2 = 50 mm = 0.05 m
- Radius of the inner circle (r) = d/2 = 80/2 = 40 mm = 0.04 m
Step 2: Calculate the polar moment of inertia (J)
- J = π/2 * (R^4 - r^4) = π/2 * ((0.05)^4 - (0.04)^4) = 3.1416/2 * (0.000625 - 0.000256) = 0.0005507 m^4
Step 3: Calculate the maximum shear stress (τ)
- Maximum shear stress (τ) = T * R / J
- τ = 12000 Nm * 0.05 m / 0.0005507 m^4
- τ = 1090.3 kPa
Therefore, the maximum shear stress in the hollow circular shaft is 1090.3 kPa. This value represents the maximum shear stress that the shaft can withstand before yielding.
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A hollow circular shaft has outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress?
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A hollow circular shaft has outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress? 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 outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress? 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 outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress?.
A hollow circular shaft has outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress? 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 outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress? 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 outside diameter of 100 mmand inside diameter of 80 mm. If the shaft is subjected to a torque T = 12kNm. What will be the maximum shear stress?.
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