Central spring gap
A rigid plate of negligible mass rests on a spring system consisting of five vertical springs, four identical outer springs in a square formation and another spring at their center. The central spring is 5 mm shorter than the outer springs.
Each of the outer springs consists of 25 turns of 20 mm wire on a mean diameter of 40 mm. The central spring has 30 turns of 15-mm wire on a mean diameter of 35 mm.
A load P = 40 kN is now applied to the plate. If G = 83 GPa, determine:
Load carried by the central spring (kN)
Load carried by each of the outer springs (kN)
Maximum shearing stress of the central spring (MPa)
Maximum shearing stress of a single outer spring (MPa)
Total deformation of the central spring (mm)
Total deformation of the outer spring (mm)
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Find the stress in central spring and plate displacement
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