Springs
Every springs calculator on CalcEngines — each with its formula, a worked example, the standard it follows and the assumptions it makes.
7 calculators in this section
- Belleville Washer Load Deflection CalculatorThe Almen–László load–deflection curve, with h₀/t naming the regime — linear, degressive, flat at √2, or snapping through — plus the flat load, the DIN 2092 reference stress and the stacking arithmetic with its friction.
- Compression Spring Buckling CalculatorThe deflection at which a compression spring goes unstable, from the published stability criterion, with all four end conditions computed side by side — and the critical free length 2.63·D/α worked out from the material's own moduli.
- Compression Spring Rate and Solid Height Calculatork = Gd⁴/(8D³n_a) with D the MEAN coil diameter, the four end types driving the active coil count and the solid height, and the published 20-to-80 per cent working window computed — so the page ends with a length you can put on a drawing.
- Extension Spring Rate and Initial Tension CalculatorF = P_i + k·x, with the initial tension checked against the band that can actually be coiled at your spring index, and the hook computed separately in bending and in torsion — because the hook is what governs and what breaks.
- Spring Index and Wahl Factor CalculatorBoth published stress correction factors — Wahl and Bergsträsser — with the correction split into the direct shear it adds and the curvature concentration it accounts for, because only one of the two survives into a fatigue calculation.
- Spring Wire Material and Allowable Stress CalculatorS_ut = A/d^m computed for seven spring wires, with the allowable stress for the material, the wire diameter and the service you name — plus both moduli per material, the temperature limits, and a refusal where the honest answer is not a percentage.
- Torsion Spring Rate and Deflection Calculatork = Ed⁴/(10.8·D·n) — E, because the wire is in bending — printed per turn, per degree and per radian, with the legs counted, the inner-fibre stress at the leg transition, and the wound-down inside diameter that actually sizes the arbor.