As shown in Fig. 2, a very long tube A (inner tube made of aluminium) has...

 

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As shown in Fig. 2, a "very long" tube A (inner tube made of aluminium) has been thermally shrink-fitted into another "very long" tube B (outer tube made of mild steel). The final dimensions of the fitted tubes are measured to be Rai = 25 mm, Rao = 50 mm, RBi = 50 mm, and RBO = 75 mm. After fitting, it was found (via the strain gauges as shown) that the two-tube system generates a circumferential stress with a magnitude of 000 = 160 MPa on the outer surface of the outer tube B. If the material properties are aluminium EA = 70 GPA, VAL = 0.3, Yielding strength [A] 250 MPa; and mild steel Est = 210 GPa, Vst = 0.3, Yielding strength [ast] = 350 MPa. (a) Determine the radial interfacial pressure p between the inner and outer tubes. (b) Please use von Mise criterion to determine whether or not the two-tube system is free of yielding. RAO RBi 50mm RBO Strain Gauges Rai 25mm A/B =75mm Figure 2 = As shown in Fig. 2, a "very long" tube A (inner tube made of aluminium) has been thermally shrink-fitted into another "very long" tube B (outer tube made of mild steel). The final dimensions of the fitted tubes are measured to be Rai = 25 mm, Rao = 50 mm, RBi = 50 mm, and RBO = 75 mm. After fitting, it was found (via the strain gauges as shown) that the two-tube system generates a circumferential stress with a magnitude of 000 = 160 MPa on the outer surface of the outer tube B. If the material properties are aluminium EA = 70 GPA, VAL = 0.3, Yielding strength [A] 250 MPa; and mild steel Est = 210 GPa, Vst = 0.3, Yielding strength [ast] = 350 MPa. (a) Determine the radial interfacial pressure p between the inner and outer tubes. (b) Please use von Mise criterion to determine whether or not the two-tube system is free of yielding. RAO RBi 50mm RBO Strain Gauges Rai 25mm A/B =75mm Figure 2 =

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a The radial interfacial pressure p can be determined using the equation p2RBoRAi where is the circu... View the full answer