Civil Engineering Reference
In-Depth Information
8k
40 k-ft
C
1k
7k
8ft
16ft
7
V(k)
-1
2(16ft)/3
16ft/2
56
40
M(k-ft)
Figure 4.19.
Example 4.9 Visual integration.
δQ=1
C
3
3
8ft
1
6ft
1
3
3.556
3.556
2.667
m(k-ft)
Figure 4.20.
Example 4.9 Visual integration.
2
3
==
(
)
−
(
)
∴=
Σ
M
0116
k
ft Aft A k
24
B
y
y
1
3
Σ
F
== +−∴=
0
A BkBk
1
y
y
y
y
The values of
M
and
m
can be substituted into Equation 4.7 to determine
the deflection at point
C
. The integral is the product of the area
M
/
EI
dia-
gram and the value of the
m
diagram at the centroid of the
M
/
EI
diagram.
