Determine from first principles the hoop stress at the inside and outside radius of a thin steel disc of 300 mm diameter having a central hole of 100 mm diameter, if the disc is made to rotate at 5000 rev/min. What will be the position and magnitude of the maximum radial stress?
Take Ļ = 7470 kg/m³ and ν = 0.3.
ANS: 38.9 MPa, 12.3 MPa; 87 mm radius, 8.4 MPa