The state of strain at the point on the gear tooth has components ϵx = 850(10−6), ϵy = 480(10−6), γxy = 650(10−6). Use the strain-transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x–y plane.
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