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.

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 [E = 123 GPa, G = 47 GPa] 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 orientation of the planes associated with the maximum in-plane shear strain, θs.εx = 390 μεεy = 600 μεγxy = 90 μrad

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.

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 driver accidentally bumped a fire hydrant creating a bending moment of 790 N·m in the pipe below. The pipe has an inside diameter of 175 mm and a wall thickness of 12 mm and is pressurized to 350 kPa. Determine the largest normal stress along the length of the pipe.

A point in a structural member is subjected to plane strain. Determine the average normal strain associated with the maximum shear strain in the x-y plane.εx = –120 μεεy = –250 μεγxy = –70 μrad

An upward load is applied to a circular rod that has a diameter of 10.55 mm. The rod is connected to the ground using a pin that has a diameter of 9.57 mm. If the normal stress in the rod is limited to 295 MPa and the average shear stress in the pin is limited to 135 MPa, determine the maximum load that can be applied to this connection.

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