POWER TRANSMISSION
Compute polar inertia, maximum shear stress and twist for a solid circular shaft under torque.
Values are calculated locally in your browser.
Theoretical result · verify applicability below
Schematic illustration · not to scale
For a solid round shaft, shear stress varies linearly from zero at the center to its maximum at the surface. Twist depends on shaft length and shear stiffness. The fourth-power diameter relationship makes diameter especially influential.
T = 100 N·m, d = 25 mm, L = 1 m and G = 80 GPa produce J = 38,349.52 mm⁴, τmax = 32.595 MPa and θ = 1.868°.
The initial inputs reproduce this example. Material values are illustrative inputs, not a material database or certified design values.
Solid circular uniform shaft in elastic Saint-Venant torsion. Small strain, uniform material and no warping restraint effects. Keyways, shoulders, hollow sections, combined bending and fatigue are excluded. Signed torque determines twist direction.
No factor of safety or design-code allowance is applied unless explicitly stated. Read the engineering disclaimer before applying these results.
Confirm the load direction and units first. Check the schematic against your actual supports and geometry, then compare the worked example with your own independent calculation. A valid numerical result does not establish that the model is appropriate for a real component.
For background, consult the Air Force Stress Analysis Manual’s column analysis and MIT’s Mechanics of Materials learning modules. Use applicable design standards and certified material data for real designs.