What is the maximum load the spring may carry, Mechanical Engineering

What is the maximum load the spring may carry:

Any close coiled helical spring has mean diameter of 80 mm, has spring constant of 100 kN/m. It contains 10 coils. The maximum shear stress is equal to 200 MPa. Find out diameter of spring wire? What is the maximum load the spring may carry?

Take G = 80 GPa.

Solution

D = 80 mm, R = 80 /2 = 40 mm , k = 100 kN/m, n = 10

Δ= 64 W R3 n / Gd 4

W / Δ = G d 4/  64 R3 n

100 =(80 × 103 ) d 4/64 (40)3 (10)        ∴ d = 15 mm

τmax      = 16 W R  / π d3           

200 = 16 W × 40 / π (15)3         ∴ W = 3313.4 N = 3.3 kN

Posted Date: 1/21/2013 1:08:31 AM | Location : United States







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