A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine the orientation of the principal planes, θp.|σx| = 25 MPa|σy| = 65 MPa|τxy| = 55 MPa

A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine εz.|σx| = 35 MPa|σy| = 100 MPa|τxy| = 95 MPa

A point in a structural member is subjected to plane strain. Determine the maximum shear strain in the x-y plane.εx = –310 μεεy = –680 μεγxy = –650 μrad

A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine εz.|σx| = 35 MPa|σy| = 50 MPa|τxy| = 35 MPa

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 108 MPa. The shield has an outside diameter of 360 mm and a thickness of 5.3 mm. If the shield is successfully pressure tested to 810 kPa on Earth, determine the factor of safety with respect to yielding.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 116 MPa. The shield has an outside diameter of 370 mm and a thickness of 4.5 mm. If the shield is successfully pressure tested to 875 kPa on Earth, determine the factor of safety with respect to yielding.

A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine εz.|σx| = 80 MPa|σy| = 40 MPa|τxy| = 85 MPa

A point in a structural member is subjected to plane strain. Determine the maximum shear strain in the x-y plane.εx = –150 μεεy = –640 μεγxy = –300 μrad

A point in a structural member is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine the orientation of the principal planes, θp.|σx| = 85 MPa|σy| = 20 MPa|τxy| = 55 MPa

A driver accidentally bumped a fire hydrant creating a bending moment of 860 N·m in the pipe below. The pipe has an inside diameter of 155 mm and a wall thickness of 7 mm and is pressurized to 380 kPa. Determine the largest normal stress along the length of the pipe.