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Reinforcement ratio, p
10
9
8
5
4
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2
Figure 3 .8.1
Strength curves (R � vs p) for singly reinforced rectangular sections . Upperlimit of curves is at 0.75p,
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Average Area per Foot of Width Provided by Various Bar Spacings
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BarSLeNumber
NominalDiameter
(in.) 2 2' 3 3: 4
Spacing o/
4, 5
Bars in
5,
lecher
6 7 8 9 /0
3 0.375 0.66 0.53 0.44 0.38 0.33 0.29 0.26 0.24 0.22 0.19 0.17 0.15 0.13 0 .4 0.500 1 .18 0.94 0.78 0.67 0.59 0.52 0.47 0.43 0.39 0.34 0.29 0.26 0.24 0.5 0.625 1.84 1.47 1.23 1 .05 0.92 0.82 0.74 0.67 0.61 0.53 0.46 0.41 0.37 06 0.750 2.65 2.12 1.77 1 .51 1 .32 1 .18 1 .06 0.96 0.88 0.76 0.66 0.59 0.53 0 .7 0.875 3.61 2.88 2.40 2.06 1 .80 1 .60 1 .44 1.31 1 .20 1 .03 0.90 0.80 0.72 08 1 .000 3.77 3.14 2.69 2.36 2.09 1 .88 1.71 1 .57 1 .35 1.18 1 .05 0.94 09 1.128 4.80 4.00 3.43 3.00 2.67 2.40 2.18 2.00 1 .71 1.50 1 .33 1 .20 1l0 1.270 5.06 4.34 3.80 3.37 3.04 2.76 2.53 2.17 1.89 1 .69 1 .52 111 1.410 6.25 5.36 4.69 4.17 3.75 3.41 3.12 2.68 2.34 2.08 1 .87 1
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2600
2400
2200
2000
1800
1600
1400
1200
1000
800
600
400
200
Ic" 1=.
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10 20 30Effective depth, d (in)
sos-
f~ = 4000 poi
fy = 60 000 poi
LLLH
50
b=18"
b=16"
b=14"
b=12"
GRAPHS CA
Effective Depths Required for Various Mr Values at Selected Widths
~~ZL =4
~~tl =q
..91 =G
..81 = Q
ied 00009 = F4
ied0000
Graph C.1 (5)
P - P...
f, = 5000 poi
30 40 50ctive depth, d (in)
'y'jdap ani~~a442
OZ Ol
f, = 60 000 p5i
bFA
rH
FF_ LHd
FT F1
b=18"
b=16"
b=14"
b=12"
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0091
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3000
2800
2600
2400
2200
2000
1800
1600
1400
1200
1000
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10 20
Effe(ui)
p09Ot 09
800
600
400
200
lYye4fis
Minimum Beam Width (Inches) According to the ACI Code"
# 14 and # 18 bars are used primarily as column reinforcement and are rarely used in beams .
- 4~
BarSize
NominalDiameter
(in .)Weight(lbift) 1 2 3 4
Number of Bars
.5 6 7 8 9 10
# 3 0.375 0.376 0 .11 0.22 0 .33 0 .44 0.55 0 .66 0 .77 0.88 0 .99 1 .10# 4 0.500 0.668 0.20 0 .40 0 .60 0 .80 1 .00 1 .20 1 .40 1 .60 1 .80 2 .00# 5 0 .625 1 .043 0 .31 0 .62 0 .93 1 .24 1 .55 1 .86 2 .17 2 .48 2 .79 3 .10# 6 0.750 1 .502 0.44 0 .88 1 .32 1 .76 2 .20 2.64 3 .08 3 .52 3 .96 4 .40# 7 0.875 2 .044 0.60 1 .20 1 .80 2 .40 3 .00 3 .60 4 .20 4 .80 5 .40 6 .00# 8 1 .000 2 .670 0.79 1 .58 2.37 3 .16 3 .95 4.74 5 .53 6 .32 7 .11 7 .90# 9 1 .128 3 .400 1 .00 2 .00 3.00 4.00 5 .00 6 .00 7 .00 8 .00 9 .00 10 .00#10 1 .270 4 .303 1 .27 2 .54 3 .81 5 .08 6 .35 7 .62 8 .89 10 .16 11 .43 12 .70*11 1 .410 5 .313 1 .56 3 .12 4.68 6 .24 7 .80 9 .36 10 .92 12 .48 14 .04 15 .60# 14° 1 .693 7 .65 2 .25 4 .50 6.75 9 .00 11 .25 13 .50 15 .75 18 .00 20 .25 22.50# 18° 2 .257 13 .60 4.00 8 .00 12.00 16 .00 20.00 24 .00 28.00 32 .00 36.00 40.00
Sizeof
Bars 2
Number of
3
Bars in
4
Single Layer
5
of
6
Reinforcement
7 8
Add forEachAddedBar
#4 6.l 7 .6 9 .1 10 .6 12.1 13 .6 15 .1 1 .50# 5 6.3 7 .9 9 .6 11 .2 12.8 14 .4 16.1 1 .63# 6 6.5 8 .3 10 .0 11 .8 13 .5 15 .3 17 .0 1 .7507 6.7 8 .6 10 .5 12 .4 14.2 16 .1 18 .0 1 .88#8 6.9 8 .9 10 .9 12 .9 14.9 16 .9 18 .9 2 .00#9 7.3 9 .5 11 .8 14 .0 16.3 18 .6 20.8 2 .26#10 7.7 10 .2 12 .8 15 .3 17.8 20 .4 22 .9 2 .54# I1 8.0 10 .8 13 .7 16 .5 19.3 22 .1 24.9 2 .82
# 14 8.9 12 .3 15 .6 19 .0 22.4 25 .8 29 .2 3 .39# 18 10 .5 15 .0 19 .5 24 .0 28 .6 33 .1 37.6 4 .51