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Rotational Stiffness Calculator — result sheet
Estimate a linear torsional stiffness and ideal elastic energy from applied torque and angular displacement.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a linear torsional response, rotational stiffness κ = τ/θ with θ in radians; elastic energy U = ½κθ².
Rotational stiffness describes how much torque corresponds to a given angular displacement. This is a local linear relation, not a full shaft, spring, bearing, or fatigue design calculation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Applied torque — N·m; minimum 0; maximum 1000000000000
- Angular displacement — degrees; minimum 1.0E-6; maximum 360000
Worked example
| Input | Value |
|---|---|
| Applied torque | 20 |
| Angular displacement | 10 |
20 N·m at 10° corresponds to κ ≈ 114.5916 N·m/rad and ideal elastic energy ≈ 1.7453 J.
Assumptions and limits
- Torque and angular displacement describe the same torsional response point.
- The response is linear and the angle is converted to radians.
- The energy expression treats the response as ideal elastic storage from zero displacement.
- Nonlinear stiffness, hysteresis, yield, friction, fatigue, geometry, and material limits are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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