Shaft designs are used both in the nuclear industry for solid shafts and in the wind turbine industry for both solid and hollow New nuclear designs are currently being tested whereby the shaft is hollowed to allow the fixture of bearings in an effort minimise power loss over transmission length. 1 - SHOW WHAT FORMULAS WE COULD USE TO CREATE COLOUR-CODED STRESS CONTOUR DIAGRAMS IN A PIECE OF SOFTWARE TO ANALYSE BOTH SOLID AND HOLLOW DESIGNS IN ORDER TO SHOW HOW THE SHEAR STRESSES ARE DISTRIBUTED AS A FUNCTION OF ANGULAR DEFLECTION. The parameters of your analysis should be based upon the following specifications: The shaft must transmit a test load of 3MW at 200rpm. The maximum shear stress must not exceed 57.5MN/m and the torsional stiffness of the shaft material must be limited to the range 78-82 GN/m, Assume that the transmission length for the test is limited to 3.8m and deduce the maximum angle of twist over this length if the external diameter if the shaft is 0.87m. 2-- Now alter twist angles and compute relative stresses through the cross section of the shaft. Create colour codes for a range of stress values and plot these contours onto your cross-section clearly showing how the stress through the material changes for differing angles of twist whereby minimum 00maximum 3- Detail how we could optimise the choice of material selection for this transmission shaft, assuming we obtain relevant experimental data relating to the variance in the twist angle.