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Engineering and Tech / Mechanics of Materials 10 / Chapter 4 / Problem 4-68

Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler

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Solved: The C83400-red-brass rod AB and 2014-T6- aluminum

Chapter 4, Problem 4-68

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QUESTION:

The C83400-red-brass rod AB and 2014-T6- aluminum rod BC are joined at the collar B and fixed connected at their ends. If there is no load in the members when \(T_{1}=50^{\circ} \mathrm{F}\), determine the average normal stress in each member when \(T_{2}=120^{\circ} \mathrm{F}\). Also, how far will the collar be displaced? The cross-sectional area of each member is \(1.75 \mathrm{in}^{2}\).

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QUESTION:

The C83400-red-brass rod AB and 2014-T6- aluminum rod BC are joined at the collar B and fixed connected at their ends. If there is no load in the members when \(T_{1}=50^{\circ} \mathrm{F}\), determine the average normal stress in each member when \(T_{2}=120^{\circ} \mathrm{F}\). Also, how far will the collar be displaced? The cross-sectional area of each member is \(1.75 \mathrm{in}^{2}\).

ANSWER:

Step 1 of 5

The free body diagram can be shown as,

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