EXTENSION SPRING CALCULATION FORMULAS FOR STATIC LOADING


Extension Spring Calculation Formulas including spring index, Wahl factor, correction factor and shear and tensile stress formulas are given below.

Parameter Formula
Spring outer diameter [OD] Spring outer diameter
Spring inner diameter [ID] Spring inner diameter
Spring index [C] Spring Index
Spring index -1 [C1] Spring index 1 in extension spring
Curvature correction factor for point A [KA ] Curvature correction factor at point A in extension spring
Tensile stress at point A [σA] Tensile stress at point A  in extension spring
Spring index -2 [C2+] Spring index 2 in extension spring
Stress correction factor for point B [KB  ] Stress correction factor at point B in extension spring
Shear stress at point B [σB] Shear stress at point B  in extension spring
Wahl factor [Kw] Wahl factor
Shear stress at spring body [τsb] Shear stress in spring body (wahl factor included)
Factor of safety at point A [fosA] Extension spring factor of safety at point A
Factor of safety at point B [fosB] Extension spring factor of safety at point B
Factor of safety at spring body [fossb] Extension spring factor of safety at spring body

Note 1 : + Recommended practice is to make C2 greater than 4.

List of Parameters
Symbol Definition
Na Number of active coils
Nb Number of body coils
d Wire diameter
D Spring mean diameter
Lf Spring free length
F Axial force on the spring

Reference: