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Engineering and Tech / Mechanics of Materials 7 / Chapter 2 / Problem 2.70

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 block shown is made of a magnesium alloy for which E =

Chapter 2, Problem 2.70

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QUESTION:

The block shown is made of a magnesium alloy for which \(E=45 \mathrm{GPa} \text { and } \nu=0.35\). Knowing that \(\sigma_{x}=-180 \mathrm{MPa}\), determine (a) the magnitude of \(\sigma_{y}\) for which the change in the height of the block will be zero, (b) the corresponding change in the area of the face ABCD, (c) the corresponding change in the volume of the block.

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QUESTION:

The block shown is made of a magnesium alloy for which \(E=45 \mathrm{GPa} \text { and } \nu=0.35\). Knowing that \(\sigma_{x}=-180 \mathrm{MPa}\), determine (a) the magnitude of \(\sigma_{y}\) for which the change in the height of the block will be zero, (b) the corresponding change in the area of the face ABCD, (c) the corresponding change in the volume of the block.

ANSWER:

Step 1 of 3

We need to determine the magnitude of .

(a)

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