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If a spring's rate is linear (most racing springs have linear rates), its rate is not affected by the load put onto the spring. For example, a linear rate spring rated at 500#/inch will compress 1" when a 500# weight is placed onto the spring. If another 500 pound weight is put onto the spring, the spring will compress another inch. At this point, the load on the spring has increased to 1000 pounds. The rate of the spring, however, remains constant at 500#/inch.
If the load put onto a spring increases the rate of the spring, the spring is said to have a progressive rate. Progressive rate springs are sometimes used on torque arms to absorb engine torque. Keep in mind that the load (or preload) put onto a progressive rate spring can greatly increase the rate of the spring.
Typically, progressive rate springs are made by varying the spacing between the spring's active coils. During compression, the close coils bottom out and deaden. This reduces the amount of active coils and spring rate increases as a result.
Springs that are designed to include coils of different diameter or are wound using a tapered wire will also produce a progressive rate.
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