Civil Engineering Reference
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In Problems 4.10 to 4.22 design rectangular sections for the beams, loads, and values shown in the accompanying il-
lustrations. Beam weights are not included in the loads shown. Show sketches of cross sections, including bar sizes,
arrangement, and spacing. Assume concrete weighs 150 lb/ft 3 , f y 60,000 psi, and
c
f
4000 psi.
Problem 4.10
L = 30 k
D = 3 k/ft
12'
12'
24'
0.18 f ' c
f y
Use ρ =
4.11 Repeat Problem 4.10 if D 2 k/ft and if L 20 k. ( One ans. 14 in. 28 in. with 3 #11 bars.)
Problem 4.12
L = 20 k
L = 20 k
D = 1.5 k/ft
10'
10'
10'
30'
0.18 f ' c
f y
Use ρ =
4.13 Repeat Problem 4.12 if D 2 k/ft. ( One ans. 16 in. 33 in. with 4 #11 bars.)
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