Solution Found!
Bars of two different metals are bolted together, as shown
Chapter 16, Problem 87GP(choose chapter or problem)
Bars of two different metals are bolted together, as shown in Figure 16–20. Show that the distance D does not change with temperature if the lengths of the two bars have the following ratio: \(L_{A} / L_{B}=\alpha_{B} / \alpha_{A}\)
Equation Transcription:
Text Transcription:
L_{A} / L_{B}=\alpha_{B} / \alpha_{A}
Questions & Answers
QUESTION:
Bars of two different metals are bolted together, as shown in Figure 16–20. Show that the distance D does not change with temperature if the lengths of the two bars have the following ratio: \(L_{A} / L_{B}=\alpha_{B} / \alpha_{A}\)
Equation Transcription:
Text Transcription:
L_{A} / L_{B}=\alpha_{B} / \alpha_{A}
ANSWER:Solution to 87GP
Step 1 of 3
We have to show that the distance between the two bolted metal bars will not change even if the temperature changes and if the ratio between the lengths of metal bar is given as
We will use the concept of linear expansion here,
Here,
is the final length of the bar after expansion,
is the original length of the bar,
is the coefficient of thermal expansion,
is the change in temperature.
