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Question 1: (25 points) A beam has a height of 22 inch, width of 14 inch, and a depth to the centroid of the steel of 19.5 inch. The concrete has a compressive strength of 6 ksi, and the reinforcement is Grade 60. Determine the following: a) A, and for a = amax b) A, and for a = 0.6 amax c) A, and on, for a = 1.1 amax d) Mn for As -As,min e) φMn for A, from (4) #7 bars
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(9.5 221 fy: 60 ksi Max NA 8.775 o.56- 10.44 in Sated on Er value determine VA 0.5x t«.5) = 9466.44 K,in (b)a0.6a = 5.265O,5x (.5 S. 265 Mo Go x 6.265%(19.5-2.20- Mn 0.733 x 6340.47 ,65259.652 5 S, min Qpo d- a S mt - O.2 43o, 65x 6x1 a= 2.016 221.9 к.4

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