An aluminum bar has the desired length when at 12°C. How much stress is required to keep it at this length if the temperature increases to 35°C? [See Table 9-1]
The stress required to keep the aluminum bar’s length steady even when the temperature has increased
Answer to Problem 17P
Solution:
The stress required to maintain the length of the aluminum bar is
Explanation of Solution
Given:
Initial temperature,
Final temperature,
Formula used:
, where Δ is the coefficient of linear expansion of the material and E is the Young’s modulus of the material
Calculation:
The relation between thermal stress, the force per unit area required for maintaining the length of an object, and change in temperature (ΔT)is given by,
, where Δ is the coefficient of linear expansion of the material and E is the Young’s modulus of the material
In this case,
For aluminum,
Therefore,
or
Chapter 13 Solutions
Physics: Principles with Applications
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