ONE FORMULA, ONE ANSWER
Solid Circular Shaft Shear Stress Calculator
Check maximum torsional shear stress for an initial shaft diameter. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Maximum surface shear stress τ_max
Enter values and select Calculate.
τ_max = 16 T / (π d³)
Assumptions
Use T≥0 and d>0. Assume pure torsion of a uniform solid circular shaft in linear elasticity. Hollow shafts, noncircular sections and keyway stress concentrations are excluded.
Displayed values are floating-point approximations. Measurement uncertainty and design safety factors are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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