A bimetallic rod is composed of brass and copper.

a. If the rod is subjected to a compressive force, will the rod bend toward the brass or the copper? Why?

b. Justify your answer mathematically if the compressive force is 5.00 X 104 N.

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- Jul 27th 2006, 01:26 PM #1

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## A bimetallic rob..

A bimetallic rod is composed of brass and copper.

a. If the rod is subjected to a compressive force, will the rod bend toward the brass or the copper? Why?

b. Justify your answer mathematically if the compressive force is 5.00 X 104 N.

- Jul 27th 2006, 11:28 PM #2

- Jul 28th 2006, 12:21 AM #3

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Originally Posted by**Refujoi**

ratio of the Young's modulus of copper to brass:

$\displaystyle

\frac{\Delta l_B}{\Delta l_C}=\frac{\Delta Y_C}{\Delta Y_B}\approx \frac{100}{130}

$.

So the change (reduction) in length of the brass is less than that of the

copper, so the rod bend toward the copper.

To justify this we do not need to know the loading, just that the tensile

stress is the same in both the copper and brass, then as for each material:

$\displaystyle

Y=\frac{\mbox{tensile stress}}{\Delta l/l_0}

$

the result follows.

RonL