Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Torque Newton Meters (N·m)

Required number input.

Radius Meters (m)

Required number input.

Polar Moment Meters4 (m⁴)

Required number input.

Elastic torsional shear stress at a specified radius from torque and polar second moment; circular shaft assumptions apply. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Shear Pascals (Pa)

The resulting shear pascals returned as a number.

• Stress, strain, section, and torsion equations assume stated geometry, loads, supports, material behavior, and small deformation. Stress concentrations, instability, fatigue, fracture, plasticity, residual stress, and code factors may govern.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Bending Stress

  Extreme-fiber bending stress magnitude in an elastic beam section from bending moment, neutral-axis distance and second moment.

• Shear Stress Beam

  Elastic beam shear stress τ=VQ/(Ib) at a section with supplied first and second area moments and local width.

• Moment Inertia Circle

  Centroidal second moment of area of a solid circular section about any in-plane diameter: πd⁴/64.