Engineering · Machine Design

Shafts and Springs Workbench Calculator

Calculate combined shaft stress, shaft twist, helical-spring rate and stress, and ideal leaf-spring deflection from explicit geometry and material properties.

Engineering · Machine Design

Enter the engineering model

Explicit properties, geometry, units and assumptions
Visual modelSchematic · not to scale
Machine Design: combined visual explanationA simplified diagram showing the relationship represented by the selected calculator mode. It is explanatory and not a fabrication, safety or scale drawing.bending + torsionideal elastic member
The diagram explains the selected relationship only. Dimensions, symbols and proportions are illustrative; use the entered values and stated assumptions for the calculation.

Keep every unit basis, sign convention, property source and idealization consistent. Values stay in this browser.

Engineering calculation result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Choose the analysis mode that matches the physical model before entering values.
  2. Enter properties, geometry, loads, states and coefficients from one consistent unit and sign convention.
  3. Use the intermediate outputs to audit the relationship, then retain the stated idealization before applying it.

Calculation method

Transparent engineering model

σb=32M/(πd³), τ=16T/(πd³), φ=TL/(JG), k=Gd⁴/(8D³N), and Wahl-corrected spring stress uses entered coil geometry.

The calculator evaluates only the declared relationship and preserves visitor-entered assumptions rather than selecting materials, factors, components or standards.

Worked example

Worked example

A solid circular shaft can expose bending, torsion and von Mises combination without choosing an allowable stress.

σb=32M/(πd³), τ=16T/(πd³), φ=TL/(JG), k=Gd⁴/(8D³N), and Wahl-corrected spring stress uses entered coil geometry.

Supported inputs

Precision and limits

Analysis, not approval

Ideal elastic relationships only. Keyways, shoulders, surface finish, fatigue, buckling, residual stress, end conditions and standards remain outside scope.

Standards and properties

Material properties, allowable values, load combinations, safety factors, correlations, manufacturer data, codes and jurisdictional requirements are not supplied automatically.

Units and precision

Use one consistent unit basis. Results retain working precision but cannot be more accurate than the entered measurements and properties.

Privacy

Entered engineering values and results stay in this browser and are not sent to analytics or third parties.