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Dec 10, 2020 at 12:17 vote accept S. Rotos
Dec 9, 2020 at 10:19 comment added S. Rotos Difference in angle between each end of the element - isn't that curvature basically? The second derivative of deflection?
Dec 8, 2020 at 16:37 comment added achrn I'm just repeating myself. Rotation of an elemental but finite length of beam with a constant moment along the whole length of that element. Rotation across that element. Difference in angle between each end of that element. You have a non-zero-length element of beam subject to a moment, so some rotation occurs across that element.
Dec 8, 2020 at 9:19 comment added S. Rotos I don't see how the rotation of a single cross section or finite element is determined by the moment on that element alone.
Dec 8, 2020 at 9:17 comment added S. Rotos Rotation, as in an angle? But doesn't the angle an element makes depend on the beam as a whole? I mean, we can twist a beam at some other end causing it to bend, so now other parts of the beam have some rotation but no moment across their cross section..
Dec 8, 2020 at 8:16 history edited achrn CC BY-SA 4.0
reword penultimate paragraph, add why it's not just curvature
Dec 8, 2020 at 8:11 comment added achrn Rotation of an elemental but finite length of beam with a constant moment along the whole length of that element. It cannot be curvature because that makes no sense at a hinge (or part hinge). I'll add that to teh answer.
Dec 7, 2020 at 21:25 comment added S. Rotos Thank you for the thorough answer. So my question basically boils down to this: the diagram 4 shows moment against rotation for a cross section. What does rotation mean here? Does it mean the angle it turns to after being subjected to moment? Or are we really talking about curvature, the second derivative of deflection?
Dec 7, 2020 at 19:41 history answered achrn CC BY-SA 4.0