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Conical Helical Compression Spring Design Equations and Calculator

Spring Engineering and Design

Conical Helical Compression Spring Design Equations and Calculator.

This is a helical spring in which the coils progressively change in diameter to give increasing stiffness with increasing load. It has the advantage that the compressed height is small.

Conical Helical Compression Spring Equations and Calculator

Load W

Where:
Load C Constant

Stiffness:
Stiffness Equation

Allowable Working Stress (MPa) For Helical Springs (Grade 060A96)
Spring
Wire Diameter (mm)
1 - 3.9
4 - 7.9
8 - 12
Light Duty
590
510
450
Medium Duty
470
410
360
Heavy Duty
400
340
300

Where:

Conical helical spring Symbols used:
W = Load (N),
s = Stiffness (N/mm)
G = Shear Modulus (Torsional) of Elasticity (N/m2 or Pa),
τ = Allowable shear stress (Pa),
D1 = smaller diameter (mm),
D2 = larger diameter (mm),
d = wire diameter (mm),
n = number of active coils,
y = Deflection (mm),
C = Coil ratio,
K = Wahl factor,

Reference:

Mechanical Engineers Databook, Carvil