Question

5-22. Athin ring is heated in oil 150°C above room temperature. In this condi- tion, the ring just slips on a solid cylinder, as shown in the figure. Assuming the cylinder to be completely rigid, (a) determine the hoop stress that develops in the ring upon cooling, and (b) determine what bearing develops between the ring and the cylinder. Let a = 20 x 10 5/°C and E = 70 GPa. - 5 200 50mm Fig. P5-22

Answer 1

Solution (a) Hoop stress introduce by temperatue OH EROT · Ee 70x103 Nimm? .. L 20x10-6 AT = 150°C он 70x10?x20x10 6x150 [ons 210 N/mm m2 ] (b) ... Bearing hoop Stress * 210 x [2 TT**T] Area of ring 210 X 2 X X 50 [12] [Bearing : 6.679X10CN] ..