A material is to be selected for a landing gear part for a cargo aircraft and requires to able to carry a direct tensile load of 3 MN. It is roughly rectangular in cross-section of width, w, 0.2 m. By considering yield in tension as one possible failure mode and fracture from a 0.5mm deep edge-crack as a second possible failure mode, obtain values of thickness for the section for each of the five metals listed in the table below. Find the material which can achieve the design criterion at the minimum weight. Alloy K. (MPavm) o, (MPa) P (kg/m) Aluminium alloy 7075-T736 25 495 2700 Magnesium alloy Z5Z 25 143 1770 Ti-6Al-6V-2Sn 50 980 4500 4340 T260C 40 1840 7800 4340 T500C 75 1400 7800