Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. What is the acceleration of the two teams?

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 7,900 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

A beam has dimensions of b = 18 in., h = 30 in., and d = 27.5 in. and is reinforced with 2 No. 6 bars. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

A well-thrown ball is caught in a well-padded mitt. If the deceleration of the ball is 2.10 X 10^4 m/s^2, and 1.85 ms  elapses from the time the ball first touches the mitt until it stops, what was the initial velocity of the ball?

A beam has dimensions of b = 14 in., h = 24 in., and d = 21.5 in. and is reinforced with 3 No. 7 bars. The concrete strength is 7,000 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 1.852169 in., determine the strain in the reinforcement.

A beam has dimensions of b = 14 in., h = 22 in., and d = 19.5 in. and is reinforced with 2 No. 7 bars. The concrete strength is 8,200 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 5 No. 5 bars. The concrete strength is 10,000 psi, and the yield strength of the reinforcement is 60,000 psi. Assuming the reinforcement has yielded, determine the tensile force T in the reinforcement.

A beam has dimensions of b = 18 in., h = 24 in., and d = 21.5 in. and is reinforced with 4 No. 6 bars. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the nominal moment capacity, Mn, of the beam.

Simple stains that are commonly used are basic and they stain the cell membrane of the bacteria.

A beam has dimensions of b = 14 in., h = 28 in., and d = 25.5 in. and is reinforced with 3 No. 6 bars. The concrete strength is 8,200 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 0.811642 in. and the strain in the reinforcement is εs = 0.058265, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.