Open coiled helical spring, Mechanical Engineering

Open coiled helical spring:

In an open coiled helical spring along with α = 38o, if the inclination of the coil is ignored, determine the percentage by which the axial extension is under estimated.

E = 200 GPa, G = 80 GPa.

Solution

Δ= (64 W R3 n / d 4 cos α)( (cos2 α/G)+(2 sin 2 α /E))

            = K/ cos α[cos2 α/G     +2 sin 2 α/E]

α= 38o , Δ = K × (0.115/0.866) × 10- 4  = K × 0.0147

If α is neglected,

α= 0, Δ2  = K × 0.0125

% Error = ((Δ1 - Δ2 ) / Δ1 )× 100

= (0.0147 - 0.0125/0.0147) × 100 = 14.96%

Posted Date: 1/21/2013 1:29:00 AM | Location : United States







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