The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain.  Using Mohr’s circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point.  Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. εx = 360 με, εy = -1000 με, γxy = -630 μrad. Enter the angle such that -45°≤θp≤ +45°.

Mohr’s circle is shown for a point in a physical object that is subjected to plane stress.  Each grid square is 8 MPa in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element.  The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).

The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -850 με, εy = -255 με, and γxy = 1100 μrad. Enter the angle such that -45°≤θp≤ +45°.

The strain components Ex, Ey, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 330 μE, Ey = -590 μE, Yxy = -880 μrad. Enter the angle such that -45°≤0p<+45°. Answer: Ep1 = με Ep2 = με Ymax in-plane Yabsolute max.= 0p- urad urad