The shear modulus can be calculated as:
The radius is the distance from the center to point $X$ (or $Y$): $$ R = \sqrt(\sigma_x - C)^2 + \tau_xy^2 $$ $$ R = \sqrt(12 - 4)^2 + (8)^2 = \sqrt8^2 + 8^2 $$ $$ R = \sqrt64 + 64 = \sqrt128 \approx 11.31 \text ksi $$
The shear modulus can be calculated as:
The radius is the distance from the center to point $X$ (or $Y$): $$ R = \sqrt(\sigma_x - C)^2 + \tau_xy^2 $$ $$ R = \sqrt(12 - 4)^2 + (8)^2 = \sqrt8^2 + 8^2 $$ $$ R = \sqrt64 + 64 = \sqrt128 \approx 11.31 \text ksi $$ The shear modulus can be calculated as: The