Determine mechanical properties of a spiral wound spring with blade width b, blade thickness h,radius r, Young's modulus E and L as spring length. Calculate also deflection v and tension σ as a function of force F.
\(k=\dfrac {\ Eb^{2}h^{2}}{12Lr^{2}}\)
\( v_{(F)}=\dfrac {\ 12FLr^{2}} {Eb^{2}h^{2}} \)
\( v_{max}=\dfrac {\ 2rLσ} {Eh} \)
\(σ_{(F)}=\dfrac {\ 6Fr} {hb^{2}} \)