Does Young's Modulus Change When Nano-Tubes Are Connected End-to-End?

AI Thread Summary
When multiple nano-tubes are connected end-to-end, the stress experienced by each tube remains constant, as it is determined by the applied force and the cross-sectional area. The total length of the composite structure will extend proportionally to the length of the individual tubes, maintaining a consistent strain. Consequently, the Young's modulus, which is a measure of stiffness, does not change regardless of the number of tubes connected. This analysis confirms that the mechanical properties of the nano-tubes remain stable when arranged in this manner. The conclusion is that Young's modulus remains unaffected by the end-to-end connection of nano-tubes.
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Homework Statement


A nano-tube having cross sectional area A and length L extends ΔL when a force F is applied normally to one of the cross-sectional surfaces. Show that if N tubes are connected end-to-end the then Young's modulus of the fibre does not change.

Homework Equations

The Attempt at a Solution


Not sure how to answer this but:

Stress on the nano-tubes regardless of how much there are will not change. So force and cross sectional area would be a constant.

I'm assuming that the total length of let's say a wire, will extend proportional to its length. So the Strain will remain constant.

So the Young's modulus of the nano-tube will not change.
 
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Excellent analysis! Spot on.

Chet
 
Thanks :) !
 

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