Torsion

Diapositiva 1

Torsion Equation

Torsion means twisting a structural Member when it is loaded by a couple that Produces rotation about the longitudinal axis. Consider a shaft rigidly clamped at one end and twisted at the other end by a torque T = F.d applied in a plane perpendicular to the axis of the bar such a shaft is said to be in torsion. Effects of Torsion: The effects of a torsional load applied to a bar are To impart an angular displacement of one end cross – section with respect to the other end. To setup, the shear stresses on any cross section of the bar perpendicular to its axis

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Diapositiva 2

Assumptions made for derivation of the Torsion equation- Pure twisting moment is applied to shaft and it acts in a plane perpendicular to axis of shaft Material of shaft is homogeneous and isotropic and load is applied within elastic limit Twisting moment is uniform for entire length of shaft Cross-section of shaft remains plane after twisting No changes occur in length of shaft

Assumptions made for the Equation

Diapositiva 3

Torsion Equation

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Diapositiva 4

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Important Formulae

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Compounding of Shafts

Series connection: Series connection of compound shaft as shown in the figure. Due to a series connection, the torque on shaft 1 will be equal to shaft 2 and the total angular deformation will be equal to the sum of deformation of the 1st shaft and 2nd shaft. Parallel Connection: Parallel connection of compound shaft as shown in the figure. Due to a parallel connection of compound shaft, the total torque will be equal to the sum of torque of shaft 1 and torque of shaft 2 and the deflection will be same in both the shafts.

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