Question

ity, 1, and Reliability 4. A hollow aluminum cylinder is pressed over a hollow brass cylinder as shown. Both cylinders are 5 cm long, The interference is 0.010 cm. The average coefficient of friction during assembly is 0.25. The pressure on the cylinders is 37 MPa. aluminum alloy, E-70 kN/mm2, v = 0.33 brass, E-100 kN/mm2, v = 0.36 Mechanical Design/Analysis 2.5 cm 5 cm 7.5 cm T= 2liramp! What is most nearly the initial axial disassembly force required to separate the two cylinders? (A) 57 kN (B) 61 kN (C) 65 kN (D) 73 kN 1-5cm 0.05 m M=0.25 P= 37MPa : 37x108 Pa r: 2.5 cm = .025m

Answer 1

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Given Diameter of interface between two cylinders D - 5cm -0.05 m M= 0.25 L = 5 cm = 0.05m P = 37 MPa = 37810 pa Area interface A = TDL = tx0.05x0.05 А 7.854 m² 10oo Normal force between the cylinders N= PXA N = 37x10x 7.854x103 290597.3205 N Axial force required to separate the cylinders will be equal to the friction force between the cylinders. F = f = 0.95x290597.3205 = 72649.33 N = MN F = 72.65 KN Nearest option is (D)