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# Torsional Deflection of Hollow Cylinder Calculator

Torsion is the twisting of an object due to an applied torque. The angular deflection of cylinder is loaded with torsion. It is expressed as Newton metres (N-mm) or foot-pound force (in-lb). Calculate the deflection of the hollow cylinder shaft when torsion is applied with length, applied torque, shear modulus, unsupported length, inside diameter and outside diameter of the shaft using this simple online Torsional deflection of hollow cylinder calculator.

## Hollow Round Tube Deflection Calculator

Torsion is the twisting of an object due to an applied torque. The angular deflection of cylinder is loaded with torsion. It is expressed as Newton metres (N-mm) or foot-pound force (in-lb). Calculate the deflection of the hollow cylinder shaft when torsion is applied with length, applied torque, shear modulus, unsupported length, inside diameter and outside diameter of the shaft using this simple online Torsional deflection of hollow cylinder calculator.

#### Formula:

α = L T / GIo Where,

T = Torque (N-mm, in-lb) L = Length of Shaft (mm, in) G = Shear Modulus of rigidity (Mpa, psi) Io = Second Moment of Inertia (mm4, in4)

In Torsional deflection of hollow cylinder, the sections are perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius.

#### Example

A torsional cylinder has applied torque of 15 N-mm/in-lb, Shear modulus of 12 Mpa/psi, second moment of inertia of 18mm4. unsupported length of 15 mm/in.
Deflection of shaft = 15 x 15 / 12 x 18 = 1.0417 radians.