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Student Video Mohr's Circles

NICHOLAS BURNAND: Hello and welcome to this short video on Mohr's circle. The goal of this video is to show you how Mohr's circle works, how they could be useful for you, and to make some interesting observations as well. So first of all, Mohr's circle is a graphical way to find the principle normal stresses and the maximal shear stress of a given stress state, which could be the one right here, where you have some normal forces acting on sigma x, y, and z, and also some different shear stresses-- the tau's you have here. Your stress state could also be shown using a tensor-- stress tensor-- which is shown right here by this symmetric 3 by 3 matrix. It has to be symmetric because we don't want to have any movement acting on our stress element to prevent any rotation. And also of course, we're using an isotropic material. So I'm going to start with the 2D Mohr's circle-- the simplest one. So now obviously, my stress element is a square. We h...