The angle of twist for a shaft subjected to twisting torque can be expressed by the equation:φ = (TL)/(JG)whereφ = the angle of twist in radiansT = applied torque (N ⋅m)L = length of the shaft in meter (m)J = shaft’s polar moment of inertia(measure of resistance to twisting)G = shear modulus of the material (N/m2) What is the appropriate unit for J if the preceding equation is to be homogeneous in units?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
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Chapter10: Force And Force-related Variables In Engineering
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Problem 29P: A structural member with a rectangular cross section as shown in the accompanying figure is used to...
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The angle of twist for a shaft subjected to twisting torque can be expressed by the equation:
φ = (TL)/(JG)
where
φ = the angle of twist in radians
T = applied torque (N ⋅m)
L = length of the shaft in meter (m)
J = shaft’s polar moment of inertia
(measure of resistance to twisting)
G = shear modulus of the material (N/m2)

What is the appropriate unit for J if the preceding equation is to be homogeneous in units?

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