7.5 FLAT SPIRAL SPRINGS

This type of spring consists of a uniform thin strip wound into a spiral in one plane, and pinned at its outer end. Winding of the spring is done by applying a torque to a spindle attached to the centre of the spiral.

Let T be the torque tending to wind up the spring. Let Tx and Ty be the components of reaction at the outer end of the spring O.

Taking moments about the spindle axis,

 

T = TxyR         (7.41)

 

where R is the maximum radius of the spiral.

 

image

 

Substituting for Ty from Equation (7.39)

 

image

 

As O is the ...

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