Consider two closely coiled helical springs, one made of steel, the other of copper, each 0.01 m in wire diameter, one fitting within the other. Each has an identical number of coils,n=20 , and ends constrained to deflect the same amount. The steel outer spring has a diameter of 0.124 m, and the copper inner spring, a diameter of 0.1 m. Determine (a) the total axial load the two springs can jointly sustain if the shear stresses in the steel and the copper are not to exceed 500 and 300 MPa, respectively, and (b) the ratio of spring constants. For steel and copper, use shear moduli of elasticity Gs = 79 GPa and Gc = 41 GPa, respectively.
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