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Engineering and Tech / Mechanics of Materials 7 / Chapter 2 / Problem 2.68

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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QUESTION:

A fabric used in air-inflated structures is subjected to a biaxial loading that results in normal stresses \(\sigma_{x}=18 \mathrm{ksi} \text { and } \sigma_{z}=24 \mathrm{ksi}\). Knowing that the properties of the fabric can be approximated as \(E=12.6 \times 10^{6} \text { psi and } \nu=0.34\), determine the change in length of (a) side AB, (b) side BC, (c) diagonal AC.

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QUESTION:

A fabric used in air-inflated structures is subjected to a biaxial loading that results in normal stresses \(\sigma_{x}=18 \mathrm{ksi} \text { and } \sigma_{z}=24 \mathrm{ksi}\). Knowing that the properties of the fabric can be approximated as \(E=12.6 \times 10^{6} \text { psi and } \nu=0.34\), determine the change in length of (a) side AB, (b) side BC, (c) diagonal AC.

ANSWER:

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Stress acting are

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