A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 3,100 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 1.323529 in. and the strain in the reinforcement is εs = 0.03457, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

What force does a trampoline have to apply to a 45.0-kg gymnast to accelerate her straight up at 7.50 m/s^2 ? Note that the answer is independent of the velocity of the gymnast—she can be moving either up or down, or be stationary.

A cardboard box that has been glued to the ground experiences pressures p1 = 0.35 psi and p2 = 1.25 psi on one side. The box has dimensions L1 = 19 in., L2 = 9 in., and h = 14 in. Use the pressure tributary to the diaphragm (lid) of the box to determine the reaction force V1 between the diaphragm and the shearwall (short side of the box).

Margins should be set at 1 inch all the way around for a newsletter.

As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of  1.50 cm^2 and the woman’s mass is 55.0 kg. 

A beam has dimensions of b = 18 in., h = 28 in., and d = 25.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 4,000 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

A beam has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 6 bars. The concrete strength is 8,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 0.756303 in. and the strain in the reinforcement is εs = 0.052434, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

A large rocket has a mass of  2.00 X 10^6 kg at takeoff, and its engines produce a thrust of 3.50 X 10^7.  Find its initial acceleration if it takes off vertically.

A beam has dimensions of b = 14 in., h = 28 in., and d = 25.5 in. and is reinforced with 5 No. 8 bars. The concrete strength is 7,300 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the depth to the neutral axis, c.

A beam has dimensions of b = 18 in., h = 22 in., and d = 19.5 in. and is reinforced with 3 No. 5 bars. The concrete strength is 8,800 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 0.637598 in., determine the strain in the reinforcement.