HW3Solution

HW3Solution - Florida International University Reinforced...

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Florida International University Reinforced Concrete Design (CES 4720) Fall 2009 Homework 3 T-Beams and Doubly Reinforced Beams 3-9 1. Determine the effective flange width in terms of the flange thickness and beam spacing: L/4= 60 in b w + 16 h f Beam Spacing: 96 in =76 in Use b=60 in 2. Check A s,min A From Table A-5 s,min =0.0033 b w 0.99 <10.9 d=0.99 si 3. Assume that steel yeilds and stress block is in the flange area a=(A s * f y )/(0.85 * f c 4. Because a<h * b)=4.27 in f , the stress block is in the flange area 5. Determine tensile strain ε s c=a/ β =5.03 in ε s = ε cu * (d t e - c)/c=0.0174 y =f y / E s 6. Because ε =0.0021 s > ε y , the steel yields f s =f y =60,000 psi 7. Determine the strength reduction factor φ φ =0.9 8. Calculate the practical moment strength φ M n M n =A s *f s φ M *(d-(a/2))= 14,952,235 p-in =1246 k-ft n =1121 k-ft 3-10(a) 1. Check A s,min A From Table A-5 s,min =0.0033 b w 0.792 < 4.7 d=0.792 si 2. Assume that steel yeilds and stress block is in the flange area

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HW3Solution - Florida International University Reinforced...

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