At a point subjected to plane stress on the surface of a gusset plate, the stresses are σx = 60 MPa, σy = 50 MPa, and τxy = 30 MPa. Determine principal stress σp2 at the point.

At a point in a body subjected to plane strain, the strains are εx = 540 με, εy = 290 με, and γxy = 370 μrad. Determine the angle θp corresponding to the orientation of the principal planes at the point.

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.

At a point in a body subjected to plane strain, the strains are εx = –350 με, εy = –400 με, and γxy = –100 μrad. Determine the magnitude of the absolute maximum shear strain at the point.

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 in a body subjected to plane strain, the strains are εx = –100 με, εy = 740 με, and γxy = 430 μrad. Determine the angle θs corresponding to the orientation of the maximum in-plane shear strain at the point.

At a point on the free surface of a steel automotive component [E = 28,500 ksi,ν = 0.19], a strain rosette was used to obtain normal strains of εa = 175 με, εb = –365 με, and εc = 27 με. Determine normal strain εx at the point.

A silicone rubber [E = 3.90 MPa, G = 1.30 MPa] wristband has an initial length of 105 mm and a width of 12 mm. If the wearer imparts a normal stress of 470 kPa in the length direction while putting it on, what is the corresponding change in width?

At a point in a body subjected to plane strain, the strains are εx = 460 με, εy = 310 με, and γxy = 230 μrad. Determine the magnitude of the absolute maximum shear strain at the point.

At a point in a body subjected to plane strain, the strains are εx = 100 με, εy = 390 με, and γxy = –220 μrad. Determine normal strain εt at the point for a counterclockwise coordinate rotation of 59°.