A homogeneous isotropic material has Young's modulus 120 GPa and Poisson ratio 0.20. If its shear modulus is N GPa, find N.

Question

G1 Physics · Accepted Answer

Use the elastic-constant relation Y = 2G(1+ν). Therefore, G = Y / [2(1+ν)]. Substitute: Y = 120 GPa, ν = 0.20. Hence, G = 120 / [2×1.20] = 120/2.4 = 50 GPa. Therefore, N = 50.