Civil Engineering Reference
In-Depth Information
250 250
250 250 kN
Case of loading 1
q
vk
= 80 kN/m
A
B
21.4
1.6
1.6
1.6
0.8
27.0 m
0.94
0.88
0.82
0.79
1.0
I.L. for
S.F.D.
Figure 4.141 Determination of the maximum shear force on one main plate girder due
to live loads using the influence line method (case of loading 1).
M
L
:
L
:
ð
Þ ¼
1316
:
8
13
:
1
80
10
:
7
7
:
75
250
1
:
case of loading 2
6
¼
10216
:
1kNm
There is only a single case of loading for the live loads to produce a max-
imum shear force at the supports of a main plate girder, which is shown in
Figure 4.141
. Once again, we can use the influence line method to calculate
the maximum shear force due to this case of loading or analytically by taking
moment at support B and evaluate the reaction at A:
Q
L
:
L
:
¼
10216
:
1kN
Dynamic Factor
F
L
F
¼
27m
2
:
16
p
27
F
3
¼
2
+0
:
73
¼
1
:
162,
F
3
1
:
0 and
2
:
0
:
0
:
Bending Moment Due to Dead and Live Loads with Dynamic Effect Added
(M
D+L+F
)
M
D+L+
F
¼M
D
:
L
:
g
g
+
FM
L
:
L
:
g
q
¼
2556
:
1
1
:
:
162
10219
:
2
1
:
45
¼
20285
:
2+1
7kNm
Shearing Force Due to Dead and Live Loads with Dynamic Effect Added
(Q
D+L+F
)
Q
D+L+
F
¼Q
D
:
L
:
g
g
+
FQ
L
:
L
:
g
q
¼
378
:
7
1
:
2+1
:
162
1589
:
6
1
:
45
¼
3132
:
8kN
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