EAS 209 Lecture : Mohr's Circle.pdf

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Mohr"s circle is a graphical approach to finding the stress component at any orientation. Procedure was developed by a german engineer . Today"s objectives: by the end of today"s lecture, student"s should be able to use mohr"s circle to: determine magnitude and orientation of principal stresses etc, determine stresses at any orientation, add stress states. For additional help understanding mohr"s circle see mecmovies http://web. mst. edu/~mecmovie/ Step 1: determine the stresses x, y and xy. We only worry about the sign of xy. Step 2: draw a set of axes to the same scale. Step 3: plot point x with coordinates ( x, - xy) Note that positive xy will therefore plot below the axis. Step 4: join x and y by a straight line. Step 5: draw circle with center c and radius r. C = avg, where line xy crosses the -axis. The angle between xy and -axis is 2 p. Max is defined by the top of the circle.

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