Question

A bronze sleeve of an internal diameter of 200 mm and a thickness of 5 mm is pressed over a steel liner of an external diameter of 200 mm and a thickness of 10 mm with a force fit allowance of 0.06 mm on diameter. Considering both the bronze sleeve and the steel liner as thin cylinder, determine (a) radial pressure at the common radius, (b) hoop stresses in sleeve and liner, and (c) percentage of fit allowance met by the sleeve.

Given for bronze E = 120kN/mm2, νb = 0.33 and for steel E = 208kN/mm2, vs = 0.3,

Answer 1

Figure 5.16 shows the bronze sleeve under an initial pressure p and the sleeve liner under an external pressure p. The internal pressure p is developed due to force fit between the bronze sleeve and the steel liner.