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At room temperature (20C) a 0.5-mm gap exists between the
Chapter 2, Problem 2.60(choose chapter or problem)
At room temperature \(\left(20^{\circ} \mathrm{C}\right)\) a 0.5-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached \(140^{\circ} \mathrm{C}\), determine
(a) the normal stress in the aluminum rod,
(b) the change in length of the aluminum rod.
Questions & Answers
QUESTION:
At room temperature \(\left(20^{\circ} \mathrm{C}\right)\) a 0.5-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached \(140^{\circ} \mathrm{C}\), determine
(a) the normal stress in the aluminum rod,
(b) the change in length of the aluminum rod.
Step 1 of 4
Change in temperature
\(\Delta T=140-20=120^{\circ} \mathrm{C}\)
Free thermal expansion:
\(\begin{array}{l}
\delta_{T}=L_{a} \alpha_{a}(\Delta T)+L_{s} \alpha_{s}(\Delta T) \\
=(0.300)\left(23 \times 10^{-6}\right)(120)+(0.250)\left(17.3 \times 10^{-6}\right)(120) \\
=1.347 \times 10^{-3} \mathrm{~m}
\end{array}\)