2.16 The brass tube AB (E = 105 GPa) has a cross-sectional area of 140 mm and is fitted with a plug at A. The tube is attached at B to a rigid plate that is itself attached at C to the bottom of an aluminum cylinder (E = 72 GPa) with a cross-sectional area of 250 mm². The cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder.

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P
1 mm
375 mm
C
Fig. P2.16
Transcribed Image Text:P 1 mm 375 mm C Fig. P2.16
2.16 The brass tube AB (E = 105 GPa) has a cross-sectional area of
140 mm and is fitted with a plug at A. The tube is attached at B
to a rigid plate that is itself attached at C to the bottom of an
aluminum cylinder (E = 72 GPa) with a cross-sectional area of
250 mm. The cylinder is then hung from a support at D. In order
to close the cylinder, the plug must move down through 1 mm.
Determine the force P that must be applied to the cylinder.
Transcribed Image Text:2.16 The brass tube AB (E = 105 GPa) has a cross-sectional area of 140 mm and is fitted with a plug at A. The tube is attached at B to a rigid plate that is itself attached at C to the bottom of an aluminum cylinder (E = 72 GPa) with a cross-sectional area of 250 mm. The cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder.
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