Write the sum using summation notation, assuming the suggested pattern continues. 343 + 512 + 729 + 1000 + … + n3 (7 points)

A beam has dimensions of b = 14 in., h = 26 in., d’ = 2.5 in., and d = 23.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 2,500 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 7.961 in., determine the force in the compression reinforcement, Cs.

The thickness of concrete cover should be increased for highly corrosive environments.

In order to cool down from a resistance training bout you must do at least 5 minutes of aerobic work followed by 5 minutes of flexibility training. 

A beam has dimensions of b = 16 in., h = 28 in., and d = 25.5 in. and is reinforced with 4 No. 7 bars. The concrete strength is 9,400 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the compressive stress block is a = 1.126408 in. and the strain in the reinforcement is εs = 0.041145, determine the strength φMn for this beam. Assume the transverse reinforcement is not spirals.

Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5 (7 points)

A beam has dimensions of b = 18 in., h = 12 in., and d = 9.5 in. and is reinforced with 4 No. 11 bars. The concrete strength is 4,700 psi, and the yield strength of the reinforcement is 60,000 psi. If the depth of the neutral axis is c = 6.388 in., does the reinforcement yield?

(06.02 LC)  The weight of laboratory butterflies follows a Normal distribution, with a mean of 50 grams and a standard deviation of 3 grams. What percentage of the butterflies weigh between 47 grams and 53 grams? (3 points)

Which symbol represents the stress in the tension reinforcement of a reinforced concrete beam?

An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (7 points)