Determine mechanical properties of a spiral wound spring with wire diameter *d*, radius *r*, Young's modulus *E* and *L* as spring length. Calculate also deflection *v* and tension *σ* as a function of force *F*.

\(k=\dfrac {\ πEd^{4}}{64Lr^{2}}\)

\( v_{(F)}=\dfrac {\ 64FLr^{2}} {πEd^{4}} \)

\( v_{max}=\dfrac {\ 2rLσ} {Ed} \)

\(σ_{(F)}=\dfrac {\ 32Fr} {πd^{3}} \)