Related Resources: mechanics machines

Cylindrical Shaft and Maximum Torque Moment

Srength Mechanics of Materials

In solid mechanics, torsion is the twisting of an object due to an applied torque. It is expressed in newton millimeters (N·m) or inch-pound force (in·lbf). In sections perpendicular to the torque axis, the resultant shear stress in this section is perpendicular to the radius. 

 Cylindrical Shaft and Maximum Torque Moment

Maximum moment applied to a cylindrical shaft:

T_max = σ_max I_p / R  

Where:

T_max = maximum torque moment (N-mm, in-lb)
σ_max = maximum shear stress (MPa, psi)
R = radius of shaft (mm, in)

Solid cylindrical shaft

T_max = (π / 16) σ_max D³        

Hollow cylindrical shaft

T_max = (π / 16) σ_max (D⁴ - d⁴) / D