TORSION Equation of a shaft is given by,\(\frac{T}{J} = \frac{τ }{r} = \frac{{Gθ }}{L}\)Polar modulus is defined as the ratio of the polar moment of inertia to the RADIUS of the shaft. It is also called as torsional section modulus. It is denoted by Zp.Polar section modulus of shaft is given by,\({Z_p} = \frac{J}{r} = \frac{{\frac{{\pi {D^4}}}{{32}}}}{{\frac{D}{2}}} = \frac{{\pi {D^3}}}{{16}}\)Where, T = TORQUE, J = Polar moment of inertia, τ = Shear stress, r = Radius of shaft, G = Shear modulus, θ = Angle of twist and L = LENGTH of shaftCalculation:∴ \({{Z}_{p}}=\frac{\pi \times {{8}^{3}}}{16}=32~\pi ~c{{m}^{3}}\)

"> TORSION Equation of a shaft is given by,\(\frac{T}{J} = \frac{τ }{r} = \frac{{Gθ }}{L}\)Polar modulus is defined as the ratio of the polar moment of inertia to the RADIUS of the shaft. It is also called as torsional section modulus. It is denoted by Zp.Polar section modulus of shaft is given by,\({Z_p} = \frac{J}{r} = \frac{{\frac{{\pi {D^4}}}{{32}}}}{{\frac{D}{2}}} = \frac{{\pi {D^3}}}{{16}}\)Where, T = TORQUE, J = Polar moment of inertia, τ = Shear stress, r = Radius of shaft, G = Shear modulus, θ = Angle of twist and L = LENGTH of shaftCalculation:∴ \({{Z}_{p}}=\frac{\pi \times {{8}^{3}}}{16}=32~\pi ~c{{m}^{3}}\)

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What is the Polar Section Modulus of a solid circular metal shaft of diameter 8 cm?

General Knowledge General Awareness in General Knowledge . 6 months ago

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Concept:TORSION Equation of a shaft is given by,\(\frac{T}{J} = \frac{τ }{r} = \frac{{Gθ }}{L}\)Polar modulus is defined as the ratio of the polar moment of inertia to the RADIUS of the shaft. It is also called as torsional section modulus. It is denoted by Zp.Polar section modulus of shaft is given by,\({Z_p} = \frac{J}{r} = \frac{{\frac{{\pi {D^4}}}{{32}}}}{{\frac{D}{2}}} = \frac{{\pi {D^3}}}{{16}}\)Where, T = TORQUE, J = Polar moment of inertia, τ = Shear stress, r = Radius of shaft, G = Shear modulus, θ = Angle of twist and L = LENGTH of shaftCalculation:∴ \({{Z}_{p}}=\frac{\pi \times {{8}^{3}}}{16}=32~\pi ~c{{m}^{3}}\)

Posted on 03 Dec 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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