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A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).
    Correct answer is '35.343'. Can you explain this answer?
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    Calculating the Torsional Stiffness of a Hollow Circular Shaft

    Given Parameters:
    - Inner radius (r1) = 10 mm
    - Outer radius (r2) = 20 mm
    - Length (L) = 1 m
    - Shear modulus (G) = 150 GPa

    Formula:
    The formula for torsional stiffness (J) of a hollow circular shaft is J = (pi/2) * G * (r2^4 - r1^4) / L

    Solution:
    - Convert the inner and outer radii to meters: r1 = 0.01 m, r2 = 0.02 m
    - Substitute the values in the formula: J = (pi/2) * 150 * 10^9 * (0.02^4 - 0.01^4) / 1
    - Simplify the expression: J = 35.343 kN-m/rad

    Therefore, the torsional stiffness of the hollow circular shaft is 35.343 kN-m/rad.
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    A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).Correct answer is '35.343'. Can you explain this answer?
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    A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).Correct answer is '35.343'. 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 hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).Correct answer is '35.343'. 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 hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is __________ (correct to two decimal places).Correct answer is '35.343'. Can you explain this answer?.
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