MachineCalcs

Springs Calculators

Size helical springs from wire, coil and material data: design from target load/travel, rate k = G·d⁴/(8·D³·Nₐ), music-wire stress, Wahl-corrected shear stress, solid height and buckling. Compression, extension, spring-rate and two-point spring-constant tools — all metric and imperial.

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These tools cover the helical springs you actually have to size and check. The compression spring calculator works the rate k = G·d⁴/(8·D³·Nₐ) from wire size, mean coil diameter, active coils and material, then returns the Wahl-corrected inner-fibre shear stress, solid height and a slenderness buckling check — the failure modes a bare rate formula misses. Need to work backward from a load point? The spring design calculator starts with k = F/x, chooses wire diameter from spring index, and solves the active coil count before checking stress and travel.

For inverse sizing, the spring wire size calculator solves d = (8·k·D³·Nₐ/G)^(1/4) from a target rate, while the force and deflection pages solve F = k·x in either direction. The music wire spring calculator fixes the material to ASTM A228 and exposes size-dependent tensile strength and allowable stress for the most common small spring wire.

For geometry screening, the spring index calculator converts mean, outside and inside diameters and flags C = D/d outside the practical range. Extension springs add built-in initial tension (F = Fᵢ + k·x); torsion springs load the wire in bending, so the rate uses Young's modulus and the bending Wahl factor Kb. Every result cites the governing formula, with shear moduli and allowable stresses drawn from our spring wire material properties table.