Civil Engineering Reference
In-Depth Information
EXAMPLE 8.2
c
The beam shown in Figure 8.10 was selected using
f
y
60,000 psi and
f
3000 psi. Determine
the theoretical spacing of #3
stirrups for each of the following shears:
(a)
V
u
12,000 lb
(b)
V
u
50,000 lb
(c)
V
u
60,000 lb
(d)
V
u
150,000 lb
SOLUTION
(a)
V
u
12,000 lb
V
c
(0.75)(2
3000)(14)(24)
27,605 lb
2
V
c
13,803 lb
12,000 lb
Stirrups not required
(b)
V
u
50,000 lb
Stirrups needed because
V
u
1
2
V
c
.
Theoretical spacing:
V
c
V
s
V
u
V
s
V
u
V
c
50,000
27,605
0.75
29,860 lb
s
A
v
f
y
d
V
s
(2)(0.11)(60,000)(24)
29,860
10.61
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
29,860
(4)(
3000)(14)(24)
73,614 lb
d
Maximum
s
2
12
s
10.61 in.
Figure 8.10
