Civil Engineering Reference
In-Depth Information
The
resultant
of
the
forces
per
bolt
( R )
is
equal
to
p
139
5 2 + 143
9 2
4 kN, which is less than 206 kN (the resistance
of the bolt in double shear). Then O.K.
:
:
¼ 200
:
Flange Splices
Maximum force in the upper flange ¼ 162 275 100
=
1000 ¼ 4455 kN
N flange
ð
Þ ¼ 4455
=
206 ¼ 21
:
6 bolts 6 rows of four bolts in double shear
ð
Þ
4.5.13 Design of Roller Steel Fabricated Bearings
Let us now design the roller steel fabricated bearings shown in Figure 4.126
and detailed in Figure 4.159 . The maximum vertical reaction at the supports
of the main plate girder was previously calculated under dead and live loads
with dynamic effect ( R D+L+ F ), which was 3132.8 kN. The material of con-
struction for the bearings is cast iron steel (ISO 3755) 340-550 having a yield
stress of 340 MPa and an ultimate stress of 550 MPa.
Design of the Sole Plate
The reaction ( R D+L+ F ) can be assumed as two equal concentrated loads at
two points, which are the centers of gravity of half of the load bearing stiff-
ener section shown in Figure 4.159 . To determine the centers of gravity
(distance e ), we can take the first area moment around the axis z - z , shown
in Figure 4.159 , as follows:
2 25 1
:
2 0
:
6+23
:
2 1
:
6 11
:
6
466
:
592
e ¼
¼
12 ¼ 4
:
8cm
2 25 1
:
2+23
:
2 1
:
6
97
:
Assuming that the thickness of the sole plate is t 1 , with detailed dimensions
shown in Figure 4.159 based on the flange plate girder dimensions, we can
determine the maximum moment applied to the sole plate ( M ) as follows:
8 10 3
M ¼R D+L+ F e
=
2 ¼ 3132
:
48
=
2 ¼ 75,187,200Nmm
:
¼ b 1 t 1 =
4 ¼ 175 t 1
The plate thickness t 1 can be calculated now as follows:
M
W pl ¼
4 ¼ 700 t 1 =
Section plastic modulus W pl
f y
g M0
75,187,200
175 t 1 ¼
340
1
0
Then, t 1 ¼ 35.5 mm, taken as 40 mm, as shown in Figure 4.159 .
:
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