Where can I find compression spring force problems and associated solutions that utilize rectangular coil springs?
closed as off topic by Qmechanic♦, David Zaslavsky♦ Mar 30 '12 at 21:22
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If magazine springs are the long soft coiled springs used in gun magazines - exactly what is non-Hookean about them?
If you have a spring that doesn't obey Hooke's law - eg when the spring is almost fully compressed you would model it as the spring constant being a function of length. Then it's either some calculus or a spreadsheet to calculate it's behaviour
Hooke's law is simply a statement that the force is proportional to the distance, it works nearly without exception (up to small corrections) whenever you can elastically deform a material without changing its shape, heating it up, or making it break. The force you get from your hands is usually not enough to reach the non-linear region of a material, which is close to where you compress it or stretch it enough to do something irreversible, like make defects, or break, or deform. Silly putty bends irreversibly, so it doesn't obey Hooke's law, but metal springs, even irregularly shaped, the rule of thumb is that if you can compress it without bending it permanently, it is going to be linear.
So Hooke's law works without modification.