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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

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

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 101 MPa. The shield has an outside diameter of 350 mm and a thickness of 4.1 mm. If the shield is successfully pressure tested to 835 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 smaller principal stress in the x-y plane.|σx| = 80 MPa|σy| = 65 MPa|τxy| = 20 MPa