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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°.

At a point subjected to plane stress on the surface of a compressed air cylinder, the stresses are σx = 30 MPa, σy = 90 MPa, and τxy = 10 MPa. Determine normal stress σt at the point for a counterclockwise coordinate rotation of 74°.

At a point in a body subjected to plane strain, the strains are εx = –330 με, εy = –610 με, and γxy = –240 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 backhoe, the stresses are σx = 20 MPa, σy = 70 MPa, and τxy = –60 MPa. Determine the angle θp corresponding to the orientation of the principal planes at the point.

At a point subjected to plane stress on the surface of a structural member, the stresses are σx = 65 MPa, σy = 55 MPa, and τxy = 20 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 = 30,100 ksi,ν = 0.18], a strain rosette was used to obtain normal strains of εa = 340 με, εb = –65 με, and εc = 316 με. Determine normal strain εx at the point.

At a point subjected to plane stress on the surface of a structural member, the stresses are σx = 95 MPa, σy = 90 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 = 270 με, εy = 690 με, and γxy = 230 μrad. Determine the diameter D of the corresponding in-plane Mohr’s circle.

At a point on the free surface of a steel automotive component [E = 29,200 ksi,ν = 0.15], a strain rosette was used to obtain normal strains of εa = 175 με, εb = –185 με, and εc = 452 με. Determine normal strain εx at the point.

At a point subjected to plane stress on the surface of a compressed air cylinder, the stresses are σx = –100 MPa, σy = –50 MPa, and τxy = 10 MPa. Determine normal stress σt at the point for a counterclockwise coordinate rotation of 67°.