Civil Engineering Reference
In-Depth Information
5" (127 mm)
P/2
P/2
6"
(152 mm)
18" (457 mm)
18" (457 mm)
2 No. 3
No. 2 @ 8.1"
(206 mm) c/c
8"
(203 mm)
42" (1220 mm)
2 No. 5
Beam IE or IIE
1" (25 mm)
FIGURE 6.5
Example 6.3 showing the beam section and profile.
covering the entire sides of the beams. The geometric and material parameters of
the beams are given in Figure 6.5.
Beam IE:
f
fu
=
56.5 ksi (389.8 MPa),
E
f
=
4943 ksi (34.1 GPa),
t
f
=
0.043 in. (1.09 mm)
Beam IIE:
f
fu
=
57.3 ksi (395.3 MPa),
E
f
=
4841 ksi (33.4 GPa),
t
f
=
0.043 in. (1.09 mm)
f
c
=
5.3 ksi (36.6 MPa),
f
y
=
61 ksi (421 MPa)
Solution:
The unstrengthened beams have their steel stirrups provided not in accordance
with ACI 318-11 (spacing
=
8.1 in. >
d
/2).
81
1
4
1
2
5
8
d
=−−−×= =
6.44 in.
d
fv
V
=
2
f bd
=
2 5300
×× =
56.44
4688.4lb4.69k
=
c
c
w
No. 2 stirrups at 8.1
"
o.c.
V
s
=
××
=
0.1616.44
8.1
4.85 k
VVV
=+=
9.54
k
<
V
=
11.8k
n
c
s
exp
Afd
S
fv fe
fv
Ψ= ×
V
0.85
ff
f
56.5
4943
*
ε=ε= ×
C
0.95
=
0.011
fu
E u
2/ 3
5300
4000
k
=
=
1.21
1
2500
L
e
=
=
2.032 in.
(
)
0.58
3
10.043
×
×
4943
×
10
6.44 2.032
6.44
−
k
=
=
0.684
2
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