A 780 N person stands at the end of a 1.52 m cantilever beam. The beam has a base of 80 mm and a height of 150 mm. Determine the maximum bending stress in the beam.

Determine the lightweight modification factor, λ, for a rectangular beam with b = 17 in. and d = 21 in., three galvanized No. 6 Grade 60 tension-reinforcement bars placed in the top of the beam, and No. 3 Grade 60 stirrups located every 8 in. along the span. Assume 5,000-psi lightweight concrete and a clear cover of 2 in.

A 720 N person stands at the end of a 1.28 m cantilever beam. The beam has a base of 100 mm and a height of 175 mm. Determine the maximum bending stress in the beam.

_________________ is a material used in many orthopedic implants. 

Determine the casting-position modification factor, ψt, for a rectangular beam with b = 17 in. and d = 24 in., five galvanized No. 6 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 40 stirrups located every 6 in. along the span. Assume 5,000-psi lightweight concrete and a clear cover of 1.75 in.

The pressure hull of a space station module has an inside diameter of 4.4 m, a length of 5.5 m, and a wall thickness of 3.1 mm. It is made from an aluminum alloy with a yield strength of 256 MPa. If the hull is successfully pressure tested to 180 kPa on Earth, determine the factor of safety with respect to yielding.

A rectangular beam has a cross section of b = 16 in., h = 24 in., and d = 21.5 in. It is reinforced with five No. 6 Grade 60 bars. The concrete strength is 5,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. Determine the strength φMn for this beam.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 110 MPa. The shield has an outside diameter of 352 mm and a thickness of 4.7 mm. If the shield is successfully pressure tested to 940 kPa on Earth, determine the factor of safety with respect to yielding.

Force P = 45 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 850 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 155 mm and b = 210 mm.

The spherical face shield of an astronaut’s helmet is made from polycarbonate with a yield strength of 117 MPa. The shield has an outside diameter of 359 mm and a thickness of 4.2 mm. If the shield is successfully pressure tested to 980 kPa on Earth, determine the factor of safety with respect to yielding.