Tension Spring Force and Stiffness Calculation Formulas

When the free length, stiffness, and initial tension of a spring are known, the load at a specific working length can be calculated using the following formula: P = (R×F) + I.T. Where:

Example: Given a free length of 1.000 inch, a stiffness of 6.9 pounds per inch, and an initial tension of 0.7 pounds, calculate the load when the working length is 1.500 inches. P = [6.9×(1.500−1.000)] + 0.7 = (6.9×0.500) + 0.7 = 3.45 + 0.7 = 4.15 pounds

Spring stiffness refers to the load required to produce unit deformation of the spring, which can be determined through the following steps:

Note: In the L2 state, no two coils (except the closed ends) shall be in contact with each other.

Calculate stiffness R (pounds per inch): R = (P2 - P1) / (L1 - L2)

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