At a point subjected to plane stress on the surface of a structural-steel member, the stresses are σx = 15 ksi, σy = 5 ksi, and τxy = 5 ksi. Determine the radius R of the corresponding in-plane Mohr’s circle.

At a point on the free surface of a steel automotive component [E = 29,400 ksi,ν = 0.14], a strain rosette was used to obtain normal strains of εa = 472 με, εb = –260 με, and εc = 418 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 = 24 ksi, σy = 7 ksi, and τxy = 11 ksi. 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 = –530 με, εy = –380 με, and γxy = 70 μrad. Determine principal strain εp2 at the point.

At a point subjected to plane stress on the surface of a structural-steel member, the stresses are σx = 5 ksi, σy = –30 ksi, and τxy = 30 ksi. Determine the diameter D of the corresponding in-plane Mohr’s circle.

At a point subjected to plane stress on the surface of a ladder rung, the stresses are σx = –140 psi, σy = 0 psi, and τxy = –55 psi. Determine the angle θs corresponding to the orientation of the maximum in-plane shear stress at the point.

At a point in a body subjected to plane strain, the strains are εx = 364 με, εy = 884 με, and γxy = 45 μrad. Determine the average normal strain at the point.

At a point subjected to plane stress on the surface of a compressed air cylinder, the stresses are σx = 5 ksi, σy = 9 ksi, and τxy = –1 ksi. Determine shear stress τnt at the point for a clockwise coordinate rotation of 78°.

At a point subjected to plane stress on the surface of a drill bit, the stresses are σx = 20 MPa, σy = 0 MPa, and τxy = 100 MPa. Determine the magnitude of the maximum in-plane shear stress at the point.

At a point in a body subjected to plane strain, the strains are εx = –840 με, εy = –800 με, and γxy = 610 μrad. Determine the angle θs corresponding to the orientation of the maximum in-plane shear strain at the point.