At a point in a body subjected to plane strain, the strains are εx = –670 με, εy = –40 με, and γxy = –850 μrad. Determine normal strain εt at the point for a counterclockwise coordinate rotation of 55°.

At a point in a body subjected to plane strain, the strains are εx = 140 με, εy = –760 με, and γxy = 460 μrad. Determine normal strain εt at the point for a clockwise coordinate rotation of 66°.

At a point subjected to plane stress on the surface of a gusset plate, the stresses are σx = 20 MPa, σy = –20 MPa, and τxy = –100 MPa. Determine principal stress σp1 at the point.

At a point in a body subjected to plane strain, the strains are εx = 370 με, εy = 890 με, and γxy = –350 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 compressed air cylinder, the stresses are σx = –30 ksi, σy = –15 ksi, and τxy = 29 ksi. Determine normal stress σn at the point for a clockwise coordinate rotation of 69°.

At a point subjected to plane stress on the surface of a structural-steel member, the stresses are σx = 39 MPa, σy = 57 MPa, and τxy = –10 MPa. Determine the center σcenter of the corresponding in-plane Mohr’s circle.

At a point in a body subjected to plane strain, the strains are εx = –380 με, εy = –770 με, and γxy = 360 μrad. Determine shear strain γnt at the point for a clockwise coordinate rotation of 11°.

A silicone rubber [E = 7.50 MPa, G = 2.50 MPa] wristband has an initial length of 90 mm and a width of 10 mm. If the wearer imparts a normal stress of 450 kPa in the length direction while putting it on, what is the corresponding change in width?

A silicone rubber [E = 4.60 MPa, G = 1.60 MPa] wristband has an initial length of 90 mm and a width of 13 mm. If the wearer imparts a normal stress of 400 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 = 420 με, and γxy = –370 μrad. Determine the magnitude of the absolute maximum shear strain at the point.