Κ can be calculated from the following formula with c = 2Rs / d. The maximum shear stress (τ max) is calculated with the following formula, regardless of whether the coils are compressed to the adjacent coils or the support surface. The deflection and load in this case can be expressed by the following formula by setting d’ = 0 in formulas(1-2) and (1-3). In such a case, the coils are compressed not to the adjacent coils but to the support surface. This can, therefore, be rewritten as follows. As δ1 is calculated as Rs instead of the numerator R2 in formula (1-1), the deflection (δ) is as per the formula below.įormula (1-2) Meanwhile, there is a relationship in which the load (P) becomes Rs. Here, the relationship of n2/n = (R2 – Rs) / (R2 – R1) is used. If this is integrated from 0 to 2n2π with respect to θ, we get the following formula. Therefore, if the pitch angle (α) is not too large, the following formula will hold true. However, d’ is the centre-to-centre distance of the solid coils shown in Figure 1 and is calculated from the following formula. Therefore, the angle of inclination (α’) of the expansion curve of the actual solid part is as per the following formula. However, the expansion curve of the solid part with θ on the horizontal axis can be expressed by a straight line h = θd’ / 2π. The coil expansion curve when the cylindrical coil spring is at its solid height is a straight line, but for the conical spring, it has somewhat of a curve. However, from the formula with κ expressed as c = 2R2/d,ĭeflection and stress after the coils are compressed to the ground are calculated as follows. The deflection before the coils are compressed to the ground is calculated by integrating dδ = (2πφ / ν) R2dR, where ds is eliminated from the two formulas dδ = Rφds and dR = (ν / 2πR) ds, from R1 up to R2.Īs the maximum shear stress occurs at the point of the maximum coil radius (R2), the following formula is obtained. Therefore, the height (H) to the n(th) coil measured from the maximum coil diameter under no load can be expressed by the following formula when the pitch angle (α) is small. If you need additional assistance in purchasing the right stock compression spring contact us at: (951) 276-2777. When purchasing a stock spring, make sure that you verify all the specs, and that these match your needs. In a conical coil spring with a fixed pitch angle, R and n’ (= θ / 2π) are associated with the following formula. We usually provide all the technical information for each of our springs including free length, max deflection and solid height.
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