Create 5 variations of the following problem but do not show the answers. At a point subjected to plane stress on the surface of a backhoe, the stresses are σx = 10 MPa, σy = –100 MPa, and τxy = –10 MPa. Determine the angle θp corresponding to the orientation of the principal planes at the point.

Create 5 variations of the following problem but do not show the answers. At a point on the free surface of a steel automotive component [E = 29,700 ksi,ν = 0.29], a strain rosette was used to obtain normal strains of εa = 241 με, εb = –425 με, and εc = 44 με. Determine normal strain εx at the point.

Create 5 variations of the following problem but do not show the answers. At a point subjected to plane stress on the surface of a gusset plate, the stresses are σx = –15 ksi, σy = –22 ksi, and τxy = –11 ksi. Determine principal stress σp2 at the point.

Create 5 variations of the following problem but do not show the answers. At a point subjected to plane stress on the surface of a backhoe, the stresses are σx = –13 ksi, σy = –29 ksi, and τxy = 22 ksi. Determine the angle θp corresponding to the orientation of the principal planes at the point.

I am a teacher and need help creating exam problems. Please recommend more incorrect answers to the following problem but do not explain your logic. A silicone rubber [E = 4.00 MPa, G = 1.30 MPa] wristband has an initial length of 93 mm and a width of 10 mm. If the wearer imparts a normal stress of 520 kPa in the length direction while putting it on, what is the corresponding change in width?

Create 5 variations of the following problem but do not show the answers. At a point subjected to plane stress on the surface of a backhoe, the stresses are σx = –18 ksi, σy = 9 ksi, and τxy = –21 ksi. Determine the angle θp corresponding to the orientation of the principal planes at the point.

Create 5 variations of the following problem but do not show the answers. At a point in a body subjected to plane strain, the strains are εx = –810 με, εy = –590 με, and γxy = 50 μrad. Determine the magnitude of the absolute maximum shear strain at the point.

Create 5 variations of the following problem but do not show the answers. 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.

I am a teacher and need help creating exam problems. Please recommend more incorrect answers to the following problem but do not explain your logic. At a point in a body subjected to plane strain, the strains are εx = 470 με, εy = 10 με, and γxy = 380 μrad. Determine the radius R of the corresponding in-plane Mohr’s circle.

I am a teacher and need help creating exam problems. Please recommend more incorrect answers to the following problem but do not explain your logic. A silicone rubber [E = 6.90 MPa, G = 2.30 MPa] wristband has an initial length of 101 mm and a width of 13 mm. If the wearer imparts a normal stress of 550 kPa in the length direction while putting it on, what is the corresponding change in width?