CEE111_Design_Exercise_6

CEE111_Design_Exercise_6 - CEE 111 Design Exercise 6 Winter...

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CEE 111 Design Exercise 6 Winter 2012 Due March 19, 2012 Work independently!!! Consider the reinforced concrete beam shown below: Beam Cross-Section The beam is to be designed to resist a maximum moment of 300K-ft D M at least cost. For simplicity, total cost can be considered to be only the material cost of the concrete and the steel reinforcing bars. The reinforcing bars are to be made of A615 Grade 60 steel at $500/ton ($0.85/ft 2 per foot of beam) and 4,000 psi normal weight concrete at $25/yd 3 ($0.93/ft 2 per foot of beam). Let b = the beam width in inches, d = depth of the beam to the centroid of reinforcing steel, and A S = the total cross-sectional area of reinforcing steel. Based on these values, the total cost of the beam is given by: 2.5 $85 $95 12 12 S db CA     The resisting moment of the beam, R M , 1.7 Sy RS y C Af MA f d f b  where 100 ft 50 ft P = 6K b d 2.5 in A s
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a strength reduction factor that reduces the theoretical strength of the beam to account for minor adverse field conditions, equal to 0.90 for bending.
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CEE111_Design_Exercise_6 - CEE 111 Design Exercise 6 Winter...

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