Civil Engineering Reference
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4.29 Determine the depth required for a beam to support itself only for a 500-ft span. Neglect cover in weight calcula-
tions. Given 4000 psi, f y 60,000 psi, and 0.5 b . ( Ans. 67.77 ft)
4.30 Determine the stem thickness for maximum moment for the retaining wall shown in the accompanying illustra-
tion. Also, determine the steel area required at the bottom and mid-depth of the stem if 4000 psi, and f y 60,000
psi. Assume that #8 bars are to be used and that the stem thickness is constant for the 20-ft height. Also, assume that the
clear cover required is 2 in. 0.18 f
c
f
c
f
c / f y .
4.31 (a) Design a 24-in.-wide precast concrete slab to
support a 60 psf live load for a simple span of 15 ft. As-
sume minimum concrete cover required is in. as per
section 7.7.2 of the Code. Use welded wire fabric for re-
inforcing, f y 60,000 psi and
4.32 Prepare a flow chart for the design of tensilely rein-
forced rectangular beams.
5
8
4.33 Using the enclosed CD-ROM, solve the following
problems.
(a) Problem 4.6. ( Ans. 18 in. 28 in. 4 #10 bars)
(b) Problem 4.18. ( Ans. 18 in. 39 in. with 8 #10 bars)
c
4000 psi.
f
c / f y .
3 2
( Ans. in. slab)
(b) Can a 300-lb football tackle walk across the center of
the span when the other live load is not present? Assume
100% impact. ( Ans. yes)
0.18 f
Problems in SI Units
In Problems 4.34 to 4.39 design rectangular sections
for the beams, loads, and values shown in the accom-
panying illustrations. Beam weights are not included
in the loads given. Show sketches of cross sections
including bar sizes, arrangements, and spacing. As-
sume concrete weights 23.5 kN/m 3 , f y 420 MPa, and
28 MPa.
Problem 4.35 ( One ans.: 450 mm 890 mm with 6
#32 bars.)
L = 100 kN
D = 25 kN/m
c
f
1
2
=
6 m
6 m
Problem 4.34
b
12 m
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