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At a point in a body subjected to plane strain, the strains are εx = 490 με, εy = 770 με, and γxy = –170 μrad. Determine normal strain εn at the point for a clockwise coordinate rotation of 75°.

At a point in a body subjected to plane strain, the strains are εx = 890 με, εy = –100 με, and γxy = 710 μrad. Determine the diameter D of the corresponding in-plane Mohr’s circle.

Does the orientation of the normal stress arrows for the x-direction in the following image indicate that they are positive or negative?

At a point subjected to plane stress on the surface of a structural member, the stresses are σx = 30 MPa, σy = 100 MPa, and τxy = 10 MPa. Determine the magnitude of the absolute maximum shear stress at the point.

At a point in a body subjected to plane strain, the strains are εx = –480 με, εy = –750 με, and γxy = –70 μrad. Determine the magnitude of the absolute maximum shear strain at the point.

At a point subjected to plane stress on the surface of a structural member, the stresses are σx = 55 MPa, σy = 75 MPa, and τxy = 30 MPa. Determine the magnitude of the absolute maximum shear stress at the point.

At a point on the free surface of a steel automotive component [E = 29,400 ksi,ν = 0.28], a strain rosette was used to obtain normal strains of εa = 307 με, εb = –395 με, and εc = 44 με. Determine normal strain εx at the point.

A Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. If 1 grid square = 5 MPa, determine the stress σy.

At a point in a body subjected to plane strain, the strains are εx = –500 με, εy = 610 με, and γxy = –720 μrad. Determine the angle θs corresponding to the orientation of the maximum in-plane shear strain at the point.

At a point subjected to plane stress on the surface of a compressed air cylinder, the stresses are σx = 90 MPa, σy = –90 MPa, and τxy = –30 MPa. Determine normal stress σt at the point for a clockwise coordinate rotation of 85°.