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The bending stress is greatest in the middle; and when the ends are clamped, the stress is less than if they are free to bend. All this is captured in the equations for bending moment of a beam - a (pretty) complete set of these can be found at http://www.awc.org/pdf/DA6-BeamFormulas.pdf For part 1, you can use figure 7 (load at center): and when the ...


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Not sure you care anymore, but - for large deflections, this does not hold. As the pretty pictures at wikipedia show, an elemental does not remain perpendicular to the neutral axis when bending deep beams, so that goes out the window. The second is the neutral axis in general shifts towards the compression side, because there is less material on that side ...


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The go to formula in pressure vessel design is the semi-empirical NASA SP-8007. Page 7, & 10 tell you most of the annotation used in the rest of the document, page 14 has the equation for isotropic cylinders. Personally, I've mostly used the composites formulas in the back. The long explanation is that due to poor experimental results, a cylinder will ...



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