Rotating blade (body force in axial loading)

Question

blade is fixed to a rigid rotor of radius R spinning at ω rad/sec around the vertical z-axis. Neglect the effects of gravity.
Calculate the peak stress in the blade: σmaxn
Calculate the blade elongation: δ
Calculate the displacement of the blade mid-section: ux(L/2)

Answer 1

1. rho*omega^2/2*(L^2 + 2*R*L)
2. (rho*omega^2)/(2*E)*(2/3*L^3 + R*L^2)
3. (rho*omega^2)/(2*E)*(11/24*L^3 + 3/4*R*L^2)

Simply obtained by using definitions and proper integrations.