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# Spiral wound spring with rectangular cross section

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.

$$k=\dfrac {\ Eb^{2}h^{2}}{12Lr^{2}}$$

$$v_{(F)}=\dfrac {\ 12FLr^{2}} {Eb^{2}h^{2}}$$

$$v_{max}=\dfrac {\ 2rLσ} {Eh}$$

$$σ_{(F)}=\dfrac {\ 6Fr} {hb^{2}}$$