jrbe wrote:BoKu, you arent talking bending to the point where it doesnt spring back, you're talking about deflection right?
First off, a warning: I am not an engineer. I have had some engineering education and training, and I do some engineering under supervision, but I do not have a degree in the topic. But I did stay at a Holiday Inn...
That said, I'm talking about both the plastic and the elastic cases. A solid rod will have greater strength and stiffness than any hollow tube of the same material and exterior geometry.
For example, right now I'm looking at the Excel cheat sheet I built a couple decades ago for tubing bending moments. I see that a 1" round bar of 4130N (normalized) steel, with tensile yield strength of about 63,000 psi, will start bending (that is, getting permanently bent) at an applied moment of about 6200 inch-lbs. A 1" tube with 1/16" wall, of the same material, will start bending at an applied moment of about 2650 inch-lbs--that's only about 43% the bending moment required to yield of the solid rod. However, its weight is only .057 lbs/inch, which is only 24% of the solid bar's .236 lbs/inch. Getting 43% of the strength for 24% of the weight is a pretty good deal.
Here's another interesting case from the cheat sheet: A 7/8" solid round bar of 4130N steel has the same bending strength as a hollow tube of the same steel with 1-1/4" OD and 1/16" wall, about 4200 in-lbs. But the 1-1/4" tube weighs has only about 40% of the weight of the solid rod.
For the elastic case, that is, bending the tube under load and having it spring back when the load is relieved, that's what we'd call stiffness. Stiffness is a little more complicated; it requires you to evaluate expressions involving the Youngs modulus of the material, the sectional moment of inertia, and also how long your piece of material is. However, since that expression still involves the sectional moment of inertia (I), a solid rod will still have greater stiffness than any hollow tube of the same OD.
However, stiffness isn't always what you want. Witness the sometimes flimsy-looking solid bars used for half axles. Those would be a lot lighter for the same torque capacity if you made them out of larger OD tubes, right? Right! But with the increase in OD, you also get a huge increase in stiffness, and then the axles wouldn't absorb peak torque impulses as well. Result: thrashed CV joints and final drives. Either that, or the weight savings in your axles is more than eaten up by heavier CVs and gears and bearings and stuff.
Thanks again, Bob K.