# Is there a solution for compression of cylinder?

1. Jul 11, 2012

### Mugged

Hello,

for some reason I cant seem to be able to find this.

Suppose you have a elastic cylinder, a full cylindrical bar (not hollow), and you want to compress the two end faces (axial compression) together and find the stress in the axial direction...or strain.

I cant seem to be able to find this problem posed anywhere in a google search and it seems easy enough for there to be a textbook analytical expression.

anyone know of any references?

Thank you

2. Jul 11, 2012

### Mech_Engineer

3. Jul 11, 2012

### Staff: Mentor

This is the same problem of a bar in tension, except that the imposed tension stress is negative. The compressive strain is just the compressive stress divided by Young's modulus.

Last edited: Jul 11, 2012
4. Jul 14, 2012

### Aero51

If its elastic than you probably wont find an analytical expression that doesn't require a supercomputer to solve.

5. Jul 14, 2012

### Studiot

The answer by Mech_Engineer is one of the first things in any mechanics of materials book.

However this assumes several things.

Firstly that the cylinder axis is long compared to its diameter

Secondly that the applied force is (sensibly) normal to the end faces

Thirdly that the applied force is applied via a large stiff plate, larger than the diameter of the cylinder

Fourthly that the cylinder is not restrained from expansion along its curved surfaces

Fifthly that the material is isotropic