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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 359 mm and a thickness of 4.3 mm. If the shield is successfully pressure tested to 970 kPa on Earth, determine the factor of safety with respect to yielding.

A driver accidentally bumped a fire hydrant creating a bending moment of 650 N·m in the pipe below. The pipe has an inside diameter of 180 mm and a wall thickness of 9 mm and is pressurized to 390 kPa. Determine the largest normal stress along the length of the pipe.

A point in a structural member [E = 83 GPa, G = 31 GPa] is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine εy.|σx| = 45 MPa|σy| = 95 MPa|τxy| = 70 MPa

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.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 100 MPa. The shield has an outside diameter of 362 mm and a thickness of 5.2 mm. If the shield is successfully pressure tested to 930 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 108 MPa. The shield has an outside diameter of 366 mm and a thickness of 4.0 mm. If the shield is successfully pressure tested to 955 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 111 MPa. The shield has an outside diameter of 363 mm and a thickness of 4.6 mm. If the shield is successfully pressure tested to 935 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 the orientation of the principal planes, θp.|σx| = 65 MPa|σy| = 45 MPa|τxy| = 60 MPa

A point in a structural member is subjected to plane strain. Determine the orientation of the planes associated with the maximum in-plane shear strain, θs.εx = –290 μεεy = –520 μεγxy = –30 μrad

A point in a structural member [E = 135 GPa, G = 52 GPa] is subjected to the following stress magnitudes. The stress directions are shown in the image. Determine εz.|σx| = 20 MPa|σy| = 95 MPa|τxy| = 70 MPa