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Engineering calculators
Explore practical mechanical engineering calculators for section geometry, stress, beam bending, shaft torsion and thermal expansion. Choose a tool to work through inputs, schematics and results, with equations and assumptions close at hand.
8 calculators across 6 categories
Geometry calculators
Section geometry, area properties and stock weight.
Stress calculators
Direct stress, strain and extension under load.
Beams calculators
Bending, deflection, positioned loads and elastic stability.
Shafts calculators
Torsional stress and twist in circular shafts.
Fasteners calculators
Fastener tools will appear here as they become available.
No fastener calculator is currently available in this module.
Thermal calculators
Free expansion and contraction under temperature changes.
Shaft torsion
Shear stress and twist in a solid or hollow circular shaft.
Geometry and loading
Input parameters
Results update as you edit.
Section output
Cz is measured from the left edge; Cy from the bottom edge. Iz is about the horizontal z-axis; Iy about the vertical y-axis. Izy uses the displayed positive z and y directions.
| Property | Value | Unit |
|---|
Results
Key values (for reference)
ⓘ Assumptions
Uniform circular shaft in pure torsion, linear elastic material and small deformation. No keyways or stress concentrations. Torque is converted to N·mm; twist is calculated in radians then displayed in degrees.
Equations & calculation model
τmax = T(D/2) / J
θ = TL / (GJ)
Idealised calculations for preliminary design. Check geometry, loading and boundary conditions against your application.
What it is used for
Estimating twist and peak shear stress in a circular shaft.
Standards & references
MIT Mechanics & Materials I: torsion and twisting readings. Applies to a uniform circular shaft in elastic pure torsion. Keyways, fatigue, stress concentrations and combined loading require additional assessment.