Gamolon,
A couple of comments...
I love T's definition.lol. 'A body can be considered rigid until an outside forcre acts on it' (paraphrased) Think of standing on a marshmallow. lol
If you bother to go back & look, you'll see that Bill's "paraphrase" of my definition bears zero resemblance to what I really said.
Bill knows this, of course. This is his little game.
So can you provide me of a real world example of a rigid body?
As everyone & their sister (at this point) has explained, a rigid body is a mathematical approximation. An idealization.
My take on this is from the perspective of a mechanical, not structural, engineer. Most of the time, structural engineers frown on their constructions (buildings, bridges, etc) doing a whole lot of jumping around. Our stuff moves around a lot. And the same piece that can be considered rigid at small accelerations can become amazingly non-rigid at higher ones. Hence statics vs. dynamics.
I've tried to get across in the past that the concept of a RB is a TOOL in the hands of a physicist, a structural or mechanical engineer or simulations modeler. And like all tools, it's a very useful when used correctly. And a bludgeon if used by a hack. (Not always, tho. Sometimes you want a bludgeon.)
The fine point is that, whether or not something can be appropriately modeled as a rigid body does NOT depend only on the object. It depends on the type of analysis that you're trying to do.
A semi truck being weighed on scales can be considered a rigid body.
The same semi truck driving off of a cliff can be considered to be 2 rigid bodies (cab & trailer) during its flight thru the air. This does NOT mean that the modeler asserts that it will not deform when it hits the ground. (This is very similar to the WTC model.)
The same semi truck can NOT be considered to be a rigid body if you are trying to model its shock & vibration response while driving down the highway.
A water balloon thrown thru the air, vibrating and oscillating like crazy (like those Pixar animation gum drops) CAN be considered to be a rigid body IF your only interest is "what is the path of the CG of the balloon?"
So, while a strict definition of the term can require no relative motion between the components, I stand by a looser definition. If the internal deflections are irrelevant to what I am trying to model, then I can consider any part, no matter how flexible or inflexible, to be a rigid body.
Of course, if you REALLY need a rigid body in real life, you specify that it be made from "unobtanium".
Tom