What do you mean by "preload"?
Hi,
I would argue your "preload" argument is irrelevant, unless I don't understand correctly.
The spring is assumed to be linear, F = kx.
k is constant, at any x.
Yes, the spring is preloaded when you install it on the strut, but once installed on the car, this becomes irrelevant. The weight of the car compresses the spring even further than the preload, there is no energy stored in the spring through the preloading beyond that energy that is stored in the spring through the compressiono due to the weight of the car.
If you used a shock with a much longer rod, such that the spring is not preloaded when installed on the strut, once you install this strut on the car, it is identical to the first strut with the shorter rod.
Recently, the stock springs were tested on a (very) professional spring tester. Here is the curve for the front spring:
The spring rate is the pink curve.
x-axis: overall spring length in mm
y-axis: spring rate in N/mm
(black curve is the compression force in N)
(the blue lines can be ignored)
The spring is fairly linear through much of its range.
What needs to be done is determine the range of force (or x) that the spring sees while in use on the car, and maybe convert the spring rate in that range to lbs/in. I haven't gotten around to that yet, anybody interested?