Stresses on an elastic band

1. Sep 29, 2007

Loren Booda

What shape does an elastic band describe when hanging from two opposite points and suspending midway a weight W (causing deformation comparable to the droop without W)?

Last edited: Sep 29, 2007
2. Sep 29, 2007

genneth

Are we basically saying that the weight of the elastic band is significant?

3. Sep 29, 2007

Loren Booda

Yes.

4. Sep 30, 2007

genneth

Use the action principle to derive the necessary 2nd order equation? I don't think there's a standard name for it.

5. Sep 30, 2007

Loren Booda

Sounds right, as for a caternary.