7) (18 points) Torsional test data for a solid shaft: - shaft diameter d=50mm,r=25mm - length of the shaft L=500mm, - angle of twist of the shaft 3.0. - The maximum shear stress was measured for a torsion torque of T=2,455Nm. - Poisson ratio for this material is 0.400 . a) (4 points) Calculate polar moment of inertia of the shaft. b) ( 4 points) Calculate maximum shear stress max on the shaft. c) ( 2 points) Convert angle of twist to the units of radians. 180 degrees = (radians) d) (4 points) Calculate shear modulus of elasticity G. e) (4 points) Calculate Young's modulus of Elasticity E, using shear modulus and Poisson's [at d=50mm r=25mm L=500mm x=3 T=2,455 Nr@max =.400 a) J=2c4 J=613592.32mm4 b) Tmax=JTc2.455Nm=61359T (-1) T=602547 100,122,3441k=100 c) 3180=.0524rads =Et=L0=E(L0)=A0P=1963.52155=1.25A=2=(25))2=1963.5E=t=1.25