(30 points) A rotor disk in a jet engine is spinning at a constant angular speed...

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(30 points) A rotor disk in a jet engine is spinning at a constant angular speed . It is bonded to a rotating rigid shaft at r = a and is unrestrained at r = b. The rotor disk is thin (t < < b), has uniform mass density p, and is a linear elastic isotropic material with elastic modulus E and Poisson's ratio v. Ignore gravity and any aerodynamic effects. b a r rigid Rotor Disk For the case a = 6/4, the radial displacement in the rotor is p, E, v (1-v) p63 Up 128E [16]E 47 +15v 17+15v (a) Verify that ur is a suitable solution to the 2-D boundary value problem for the rotor disk. (b) Find the change in diameter of the disk in terms of the given parameters. (c) Find the stress field, and plot the dimensionless stress components and the Von Mises equivalent stress versus 7 = r/b using = / (p) and v = 0.3. (30 points) A rotor disk in a jet engine is spinning at a constant angular speed . It is bonded to a rotating rigid shaft at r = a and is unrestrained at r = b. The rotor disk is thin (t < < b), has uniform mass density p, and is a linear elastic isotropic material with elastic modulus E and Poisson's ratio v. Ignore gravity and any aerodynamic effects. b a r rigid Rotor Disk For the case a = 6/4, the radial displacement in the rotor is p, E, v (1-v) p63 Up 128E [16]E 47 +15v 17+15v (a) Verify that ur is a suitable solution to the 2-D boundary value problem for the rotor disk. (b) Find the change in diameter of the disk in terms of the given parameters. (c) Find the stress field, and plot the dimensionless stress components and the Von Mises equivalent stress versus 7 = r/b using = / (p) and v = 0.3.