Originally Posted by sinclair:
Originally Posted by Forrest Jerome:
"A hollow tube is much stronger that a solid bar made from the same material."
really? what are the physics behind that?
It has to do with it's moment of inertia. Because it is hollow it has a lower MOI relative to it's diameter than a solid shaft. Because it has less mass also, it's relative strength is greater. It's something you learn in upper division mechanical engineering classes in college.
It's been a while since my dynamics classes, but I think this gives a misleading impression.
The concept is the Polar, or Second, Moment of Inertia. The general idea is that, in a load-bearing member (axle, floor joist, bridge beam, lalley column, etc.), the parts of the member farther from the central axis are more efficient at carrying the load while staying within deflection specs.
If you have a basement, somewhere in the support structure down there you'll find a hollow steel column holding up a beam. Let's say it's 3" in diameter, and has a thickness of 1/8". A solid column that could support the same load without deflecting would have a smaller diameter - let's say 2". They are the same strength, and can support identical loads, but the hollow column contains less steel, so it's lighter, easier to work with, and costs less.
An I-beam contains less steel than a rectangular member that can handle the same stresses, so it costs less and is lighter. As a result, the concrete footings for a bridge made of I-beams can be smaller (because the bridge is lighter than it would be otherwise), another source of savings.
The engineered floor joists that have replaced 2x12s in home construction have the same advantages (in addition to being made from reclaimed materials in some cases).
In the case of a locomotive axle, a hollow axle (that might be slightly larger diameter than a comparable solid axle) might be used to reduce axle loadings, or it might be used to reduce the cost of the axle.
Minimizing cost is usually an important part of engineering and design, so engineers gravitate toward hollow cylinders and and I-beams instead of solid cylinders and rectangular beams.