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

[BoanviaFx]

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.

 

[Chestermiller]

Excellent analysis! Spot on.

Chet

 

[BoanviaFx]

Thanks :) !