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Determine As,min for the following beam given that f’c = 6,250 psi and fy = 60,000 psi.

LISTENING COMPREHENSION (4 pts) The Travel Blog (Vocabulary: Travel and the Environment) José is a travel blogger. Listen to José describing things that he has seen and done while traveling. Listen to what he says and then select the corresponding statement.

A beam has dimensions of b = 14 in., h = 30 in., and d = 27.5 in. and is reinforced with 5 No. 5 bars. The concrete strength is 4,300 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth to the neutral surface is c = 2.176612 in., determine the strain in the reinforcement.

One of the four primary reasons for using compression reinforcement in beams is inadequate fire rating.

A brief story told to make a point is known as a/an:

(10 points) Using only calculus, find the maximum and minimum values of f(x) = x3 – 4×2+ 5x + 2 on the interval [0, 2]. 

The symbol Mn represents the _______.

In design, the objective is to select a suitable cross section, dimensions, concrete strength, etc. given a specific factored design moment. There are many possible solutions.

Determine As,min for the following beam given that f’c = 9,000 psi and fy = 60,000 psi.

A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 3,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 4.481 in., determine the force in the compression reinforcement, Cs.