Civil Engineering Reference
In-Depth Information
125 kN
125 kN
125 kN
125 kN
q
vk
=
40 kN/m
q
vk
= 40 kN/m
2.6
0.8
1.6
1.6
1.6
0.8
1.0
5.0 m
5.0 m
R
L.L
= 371.04 kN
Figure 4.9 The case of loading producing maximum straining actions from live loads on
an intermediate cross girder.
Live Loads
To determine the maximum reactions due to live loads transferred by
the stringers to the cross girders, the case of loading shown in
Figure 4.9
is studied. The maximum reaction
R
L.L.
can be calculated as follows:
R
L
:
L
:
¼
125 + 2
125
5
1
ð
:
6
Þ=
5 + 125
5
3
ð
:
2
Þ=
5+40
1
0
:
5
=
5+40
2
:
6
1
:
3
=
5
¼
371
:
04 kN
The maximum straining actions due to live loads on an intermediate
cross girder can be then calculated (see
Figure 4.10
)
as follows:
Q
L
:
L
:
¼
2
371
:
04
¼
742
:
08 kN
M
L
:
L
:
¼
371
:
04
0
:
95 + 371
:
04
2
:
75
¼
1372
:
85 kNm
Dynamic Factor
F
L
F
¼
2
7
:
2
¼
14
:
4m
16
14
2
:
F
3
¼
p
2
+0
:
73
¼
1
:
331,
F
3
1
:
0 and
2
:
0
:
:
4
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
108
:
24
1
:
2+1
:
331
1372
:
85
1
:
45
¼
2779
:
42 kNm
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