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Bounded preliminary mechanics

Compression Spring Preliminary Calculator

For a close-coiled, round-wire, cylindrical cold-formed spring with linear axial response. Calculate rate, deflection at a supplied load and an estimated Wahl-corrected shear stress—not a safe maximum load.

SI unitsUser-supplied loadNot strength certification

Scope gate: this page enforces the cold-formed EN 13906-1:2013 geometry limits d≤20 mm, n≥2 and 4≤D/d≤20. It does not establish material allowables, life, buckling, clash/solid height or compliance.

Preliminary linear result

Spring rate k
Deflection at supplied load s=F/k
Wahl-corrected shear stress estimate
Spring index C=D/d
Wahl factor Kw

C=D/d;   k=Gd⁴/(8D³n);   s=F/k
Kw=(4C−1)/(4C−4)+0.615/C;   τest=Kw·8FD/(πd³)

The equations are a close-coiled linear-elastic approximation. A NASA technical report documents the Wahl-corrected compression-spring stress form. DIN EN 13906-1:2013 is the current European calculation/design standard for linear cylindrical helical compression springs made from constant-diameter round wire/bar; its cold-formed scope includes d≤20 mm, n≥2 and spring index 4–20.

ISO 22705-1:2021 specifies measurement and test methods for general characteristics of cold-formed round-wire cylindrical compression springs and excludes dynamic testing. It is not a source for claiming this simplified calculator is an ISO design.

Required engineering checks outside this calculator: material/product standard and certificate, strength and safety factor, static or dynamic duty and cycle count, fatigue and shot peening, temperature and relaxation, tolerances, end form, actual solid height/clash allowance, free length and buckling/guidance, natural frequency/surge, corrosion and validation test.

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Preliminary linear mechanics only. Scientific review: July 2026.

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