![]() © Copyright 2000 - 2023, by Engineers Edge, LLC All rights reserved. Having made the case, I think as a practical matter I would be inclined to use the outer tube stiffness alone as a reasonable approximation. Example: Calculate the defection of a simple round tube. If bending stress exceeds the materials yield strength it will be permanently deformed and not return to its original shape. A hollow cylinder or tube used to conduct a liquid, gas, or finely divided solid. Moreover, I believe the method is moment dependent. A tube is a closed shape used to perform some structural function. Composite wound tubes (T700/epoxy matrix) with an inner. I don't think you can do this in closed form. calculate the equivalent stiffness of the beam with the combination of the tensile and bending. The ratio of the moments would be the stiffness ratio of the two tubes. Then, from this curvature, get the moment contribution of the outer and repeat this iteratively. To get a handle on this, I would assume some reasonable moment assuming the outer tube takes the full moment, get the "curvature" of the outer tube, lay out the inner tube riding on the curve to estimate its curvature from which you can get its moment contribution which you iteratively subtract from the outer tube. You have to take into account the fact that the curvatures of each are not the same ( the tacit assumtion used in adding the stiffness).
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