Civil Engineering Reference
In-Depth Information
(c)
V
u
60,000 lb
Theoretical spacing:
V
s
V
u
V
c
60,000
27,605
0.75
43,193 lb
s
A
v
f
y
d
V
s
(2)(0.11)(60,000)(24)
43,193
7.33
k
Maximum spacing to provide minimum
A
v
:
A
v
f
y
0.75
f
(2)(0.1
1)(60,
000)
(0.75
3000)(14)
22.95
s
c
b
w
s
A
v
f
y
50
b
w
(2)(0.11)(60,000)
18.86
(50)(14)
V
s
43,193
(4)(
3000)(14)(24)
73,614 lb
d
Maximum
s
2
12
s
7.33 in.
(d)
V
u
150,000 lb
V
s
150,000
27,605
0.75
163,193 lb
163,193 lb
(8)(
3000)(14)(24)
147,228 lb
c
b
w
d
V
s
may not be taken
8
f
c
value
Need larger beam and/or one with larger
f
EXAMPLE 8.3
c
Select #3
stirrups for the beam shown in Figure 8.11, for which
D
4 k/ft and
L
6k/ft.
f
4000 psi and
f
y
60,000 psi.
SOLUTION
V
u
at left end
7(1.2
4
1.6
6)
100.8k
100,800 lb
84
22.5
84
V
u
at a distance
d
from face of support
(100,800)
73,800 lb
c
b
w
d
V
c
2
f
(0.75)(2)(
4000)(15)(22.5)
32,018 lb
Figure 8.11
