Consider an as-cast magnesium alloy AZ91D (~90.15 wt% Mg, 9.0 wt% Al, 0.70 wt% Zn, and 0.15 wt% Mn). This magnesium alloy is listed with a modulus of elasticity of 45 GPa, a yield strength of 150 MPa, a tensile strength of 230 MPa, a ductility of 3% EL, and a Poisson’s ratio of 0.35, at room temperature. Furthermore, consider a cylindrical specimen of this alloy with an initial diameter of 8.0 mm that has been deformed in uniaxial tension. Please assume that the deformation is purely linear elastic. For the following parts, please use a safety factor of 2.5.
(a) Calculate the force or load, in newtons (N), that this alloy specimen might experience when its working stress is reached.
(b) Calculate the change in cross-sectional area, in mm2 (ΔA = Afinal – A0), that this alloy specimen might experience when its working stress is reached.