Question

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Use only the ultimate-strength design (strength design and calculate the design moment strength (ultimate strength capacity “Mn") of the beam section given below. 6 steel bar #11 are used, fi = 4700 psi and fy = 75,000 psi. Details of all calculations, stress profile, location of N.A., ... should be given and illustrated clearly. All units should be written for the found quantities. (20 points) 6 in. + 20 in.32 in. 6 #11 3 in. 3 in. 6 in. 6 in. 12 in. -24 in.

Answer 1

Given data flet 4700 psi, fy = 75000 psi As a 6 # 11 bars 6x1.56 = 9.36 in? when f6 > 4000 psi fh - 4000 Pi = 0.85 Jo.os 6.05) > 0.65 1000 2 0.85 - 4700-4000) 0.05) 1000 0.815 >0.65 Cok) - . Bi a 0.815 9.36 -0.0134 bal 24x29 " emin 0.0033 <lman 0.018) hance 'ok' As fol 9.36*75000 a 2 - 0.85f1b 0.85X4700824

= a - 7.32 in a location NA, ca ola 7.32 0.815 ca 8-98 in. W Et d-c 6.003) 그 d-c 으 (29-8.98 0.003) 8.98 0.0067 > 0.005 hence ductile ø=0.9 " 0 Mn = Ø As fy [d [d-a 0.9 X 9.36X 75000 (29 - 7.32 2 16009812 lb-in. ØMn = 1334.15 kipaft

o sstle ㅗ ñ 8.98 in. .C 29 1 t . in d-a I ST (Asfy 0.0067 x 24 in - stren & train

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