1. The yield point data necessary to experimentally construct a yield surface for the particle reinforced aluminum 6092/17.5p-W is provided below. These data were acquired using axial- torsional loading of a hollow circular cylinder. Perform regression to the equation of an ellipse, (6-0)2 (1-10) a2 b2 - 1, for these data. Identify the major and minor axes of the ellipse (a, b) and its origin (60, to). To which yield criterion do these data better fit - maximum shear stress (Tresca) or maximum octahedral shear stress (Mises)? Justify your answer with quantitative analysis. SIG TAU (MPa) (MPa) -47.08 127.50 47.11 -127.95 -210.00 -25.28 214.16 26.65 -123.85 -109.40 115.73 103.23 -185.97 69.93 178.79 -66.58 -190.08 -76.25 169.00 68.68 -130.98 108.09 123.42 -101.38 -228.95 23.67 216.80 -21.55 -41.44 -134.57 39.02 116.54 1. The yield point data necessary to experimentally construct a yield surface for the particle reinforced aluminum 6092/17.5p-W is provided below. These data were acquired using axial- torsional loading of a hollow circular cylinder. Perform regression to the equation of an ellipse, (6-0)2 (1-10) a2 b2 - 1, for these data. Identify the major and minor axes of the ellipse (a, b) and its origin (60, to). To which yield criterion do these data better fit - maximum shear stress (Tresca) or maximum octahedral shear stress (Mises)? Justify your answer with quantitative analysis. SIG TAU (MPa) (MPa) -47.08 127.50 47.11 -127.95 -210.00 -25.28 214.16 26.65 -123.85 -109.40 115.73 103.23 -185.97 69.93 178.79 -66.58 -190.08 -76.25 169.00 68.68 -130.98 108.09 123.42 -101.38 -228.95 23.67 216.80 -21.55 -41.44 -134.57 39.02 116.54