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(c)
Using ACI Equation 12-1 with K tr 0
c K tr
d b
1.5
0
0.875
1.71 2.50
OK
d
60,000
3500
(1.0)(1.5)(1.0)(1.0)
1.71
3
40
d b
67 diameters
EXAMPLE 7.4
The required reinforcing steel area for the lightweight concrete beam of Figure 7.10 is 2.88 in. 2
The #8 top bars shown are uncoated. Compute development lengths if f y 60,000 psi and
3500 psi.
c
f
(a) Using simplified equations.
(b) Using the full ACI Equation 12-1.
(c)
Using Equation 12-1 with K 0.
SOLUTION
With reference to Table 7.1
1.3 for top bars
1.0 for uncoated bars
(1.3)(1.0) 1.7
1.0 for #7 and larger bars
1.3 for lightweight concrete
c cover 3 in.
OK
or
c one-half of c. to c. spacing of bars 2 in. k
18 "
3@4=12 "
3 "
3 "
3 "
4#8 bars
(3.14 in. 2 )
26 "
23 "
#3 stirrups
@ 8 "
Figure 7.10 Cross section of cantilever beam.
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