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Engineering and Tech / Mechanics of Materials 7 / Chapter 2 / Problem 2.18

Mechanics of Materials | 7th Edition | ISBN: 9780073398235 | Authors: Ferdinand P. Beer; E. Russell Johnston Jr.; John T. DeWolf; David F. Mazurek

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The brass tube AB (E = 105 GPa) has a cross-sectional area

Chapter 2, Problem 2.18

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QUESTION:

The brass tube AB (E = 105 GPa) has a cross-sectional area of \(140 \mathrm{~mm}^{2}\) 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 \(250 \mathrm{~mm}^{2}\). 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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QUESTION:

The brass tube AB (E = 105 GPa) has a cross-sectional area of \(140 \mathrm{~mm}^{2}\) 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 \(250 \mathrm{~mm}^{2}\). 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.

ANSWER:

Step 1 of 3

Shortening of brass tube AB:

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