Three strain gauges in the form of a rosette are attached at a particular point

Question

Three strain gauges in the form of a rosette are attached at a particular point on the surface of a Structure und register the following direct strains when the structure is loaded: eg = 0.00176 eh = 0.00153 ee = 0.000492 Taking the direction of eg as a reference, the directions of eg and and ee are at angles of 120 degree and 240 degree measured anticlockwise from the reference direction. Using Mohr's strain circle, determine the magnitudes and directions of the principal strains at the point concerned, and hence the principal stresses. Take the material properties as E = 68.9 GN/m2, v = 0.31. (Answers: e1 = 2.04 times10-3 at 25 degree clockwise from ea; e2 = 0.48 times 10-3 at 60 degree anticlockwise from eg: sigma = 166.8 MN/m2, sigma 2 = 84.8 MN/m2.)

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