A simply supported beam with dimensions of b = 16 in., h = 2…

A simply supported beam with dimensions of b = 16 in., h = 28 in., d = 25.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 2.266667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The beam is reinforced with five No. 6 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 9,103.4 in.4.

A rectangular beam has a cross section of b = 14 in., h = 28…

A rectangular beam has a cross section of b = 14 in., h = 28 in., and d = 25.5 in. It is reinforced with two No. 7 Grade 60 bars. The concrete strength is 8,200 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the assumed modulus of elasticity of the concrete, Ec.

The spherical face shield of an astronaut’s helmet is made f…

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 5.1 mm. If the shield is successfully pressure tested to 805 kPa on Earth, determine the factor of safety with respect to yielding.