general

Young's Modulus Spring Resonant Frequency

Computes the fundamental surge frequency of a helical spring using: f = (d / (9 × D² × N)) × √(G/ρ), where d is wire diameter, D is spring diameter, N is number of coils, G is shear modulus, and ρ is material density.

Inputs

Wire Diameter(mm)

Diameter of the spring wire in millimetres

Spring Diameter(mm)

Mean coil diameter of the spring in millimetres

Total Number of Coils

Total number of active coils in the spring

Spring Material Shear Modulus

Shear modulus of the spring material — steel ≈ 79,000 MPa, must be consistent units with density

Material Density

Density of the spring material — source shows ρ symbol only, no unit specified; must be consistent with shear modulus units

Results

⚠Spring diameter must be greater than zero

Spring Resonant Frequency—HzFundamental surge resonant frequency of the helical spring in hertz