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I JSRD - I nternational Journal for Scientifi c Research & Development| Vol. 3, I ssue 11, 2016 | ISSN (onli ne): 2321-0613
All rights reserved by www.ijsrd.com 411
Effect of the Different Shapes of Pylons on the Dynamic Analysis of Cable
Stayed Bridge using SAP 2000Hussain Hararwala1 Dr. Mrs. Savita Maaru2
1M.E. Student (CASDD) 2Professor1,2Department of Civil Engineering
1,2
Govt. Engineering College, Ujjain - 456001, India Abstract — This paper deals with the modelling of Cable
Stayed Bridges with different shapes of pylons. The cable
stayed bridge is one of the modern bridges which were built
for the longer spans. There is a need of study on the effect of
shape of pylon on the dynamic response of cable stayed
bridge, for this, the bridge span dimension and other
parameters are kept constant, and only the pylon shape is
varied i.e. A type, H type, inverted Y type, Single pylon,
Diamond or Pyramid shapes & Double Diamond or Spread
Pylon shapes. The height of the pylon is kept constant for allthe shapes for comparison purpose. The modelling of bridge
is prepared on SAP 2000 software. For this, the arrangement
of cable stay has been taken as semi fan type as well as fantype for the purpose of comparison. The study reveals the
following points such as the spacing of cables, theinclination of pylon legs & spacing of intermediate supports
which needs to be considered for the modelling of bridge.
Key words: Cable Stayed Bridge, Pylons, Semi Fan & Fan
Type, SAP 2000
I. I NTRODUCTION
Many cable stayed bridges have been successfully built
around over the world in only last two decades of the 20th
century. Due to their highly appreciable appearance &significantly utilized structural materials, cable stayed
bridges have been taken as one of the most popular type of bridges in last decades. With increasing span length, the
modern cable stayed bridges are more acceptable & flexible
strong enough to the effect wind as compare to ever. A
typical cable stayed bridge consists of deck with one or two pylons erected above the piers in the middle of the span. The
cables are attached diagonally to the girder to provide
additional supports.
In recent years, several cable-stayed bridges have
been constructed with different shapes of pylons such as H-
shaped, A-shaped, Diamond shaped, Inverted Y-shaped etc.
which results in a great demand to evaluate the effects of
different shapes of pylon on cable stayed bridges under the
consideration of wind effect. Therefore, there is a need tostudy the behaviour of the bridge system having
conventional pylons under vehicular and wind loading. Forstudy of such phenomenon the two steps have been
generally computed:
1) Computational analysis of bridges using finite
element programmes
2) By performing wind tunnel test on the prototype of
such bridges.The purpose of the pylons is to support the cable
system and transfer forces to the foundations. They are
loaded with high compressions and bending moments that
depend on the stay cable layout and the deck-pylon support
conditions. Pylons can be made of steel or concrete, being
the latter generally more economic considering similar
stiffness conditions. Thus, the dynamic response of the
pylons will be conditioned by several aspects, and in
addition to the previous idea, the geometric shape of the
pylons, which depends on the applied loads, cable-stay
system and aesthetic conditions, is a very important aspect.
Fig. 1: Different tower /Pylons available for cable stayed
bridgeThe dynamic effects under the effect of wind were
studied by the software SAP 2000. SAP is finite element
based program and is recognized by international
community for the research purpose. The modelling of cable
stayed bridge in SAP is prepared as per following
procedure:
II. MODELING PROCEDURE ON SAP
Draw the geometry of the bridge either by inserting
coordinates or by linking the nodes through member
length.
Define the sections and materials for the members. Define the loading values and load combinations to be
applied on the structures.
Define the time history to be used for the dynamic
analysis and include it in the analysis case.
Now assign the defined section to the members.
Assign the loads to the joints or members as per the
case.
After assigning everything, set the analysis to be
carried out and press run analysis.
SAP program will generate the various results like joint
displacements, joint forces, joint reactions, base reactions,
deck force, forces in cables and pylons, mode shapes etc.
III. MODELING OF BRIDGE
In the analysis of the bridge the most important part ismodelling. Different components of bridges like deck,
pylon, cables etc must be modelled as per the actual forces
they are subjected. The dimension of bridge which was
taken in consideration here was situated at river Ravi in
Jammu Kashmir, India. The various shapes of pylon have
been considered in this paper are Diamond shaped, A-shaped, H-shaped, Inverted Y-shaped, single pylon shaped
& Double Diamond or Pyramid-Shaped. There are different
types of cable-stayed bridges which are distinguished on the
basis of the arrangement of stay cables; they are called asharp arrangement, fan arrangement, and semi-fan
arrangement. In this paper, the considerations of the fan &
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Effect of the Different Shapes of Pylons on the Dynamic Analysis of Cable Stayed Bridge using SAP 2000
(IJSRD/Vol. 3/Issue 11/2016/099)
All rights reserved by www.ijsrd.com 412
semi fan arrangement of cables have been taken, & the
analyses will be computed for concrete pylons as well as for
steel pylons. The pylons which have been modelled foranalysis purpose having their section rectangular as well as
circular.
Different elements of cable supported bridge like
deck, pylon, and cable-stays are discussed below:
Bridge deck: Deck is model as a frame section
with cross sectional properties as mentioned in the
following tables for different types of bridges.
Pylon: Pylon and pylon beam is modelled as a
frame section where the pylon with the vertical
orientation and pylon beam with horizontal
orientation.
Cables: Cables of the cable stayed bridge aremodelled as cable element. The cable elements act
as axial load transfer element only.
The details are given in Table 1 will be remains
constant for all the shapes of pylon. The details of different
shapes and dimensions of pylons will be given in Table 3while the entire cross sectional properties of the components
will be given in Table 2.
S.
No.Component Material Shape
Dimension
(in m.)
1. Cable Steel Circular 0.24
2. Deck Concrete Rectangular
Depth- 0.4
Width-
13.15
Length-592
3. End Beams Steel I-Section
1 x 0.4
Tf = 0.15
Tw= 0.15
4.Intermediate
BeamsSteel I-Section
0.7 x 0.25Tf = 0.1
Tw= 0.1
5 Girders Steel I-Section
3 x 0.7
Tf = 0.05
Tw= 0.03
Length-
592
6Side
SupportsConcrete I-Beam 3 x 12.5
Table 1: Details of the cable stayed bridge
S.
No. Component
Cross
Sectiona
l Area(m2)
Momen
t of
Inertia(m4)
Shear
Area(m2)
Torsiona
lConstant
1. Deck 3.985 58.52 0.16 0.24
2. Cable .04521.62 x
10-4
0.040
7
3.2 x 10-
4
3. End Beams .2251.79 x
10-30.15
1.36 x
10-3
4.Intermediat
e Beams0.1
3.02 x
10-40.07
2.7 x 10-
4
5. Girders 0.1572.86 x10-3
0.098.16 x10-5
6.Side
Supports22.5 8.22 16.86 17.01
Table 2: Details of cross sectional properties of various
components
Fig. 2: Different 3D models of Cable Stayed Bridge with
different types of Pylons
Fig. 3: Typical Bridge Span Configuration
Fig. 4: Main Span Typical Section
Fig. 5: Pylon Geometry
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Effect of the Different Shapes of Pylons on the Dynamic Analysis of Cable Stayed Bridge using SAP 2000
(IJSRD/Vol. 3/Issue 11/2016/099)
All rights reserved by www.ijsrd.com 413
S. No. Pylon Shape Material Shape Dimension (in m.)
1. ‘Diamond’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow Rectangular
Hollow Circular
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2. ‘H’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow Rectangular
Hollow Circular
2.5 x 3.5 – (0.6 x 0.6)(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
3. ‘Inverted Y’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow Rectangular
Hollow Circular
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
4. ‘A’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow Rectangular
Hollow Circular
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
5. ‘Double Diamond’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow Rectangular
Hollow Circular
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
6. ‘Single Pylon’ Shape
Concrete
Steel
Hollow Rectangular
Hollow Circular
Hollow RectangularHollow Circular
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
2.5 x 3.5 – (0.6 x 0.6)
(3.0)2 -
(0.4)2
Table 3: Details of dimensions and other parameters for different shape of Pylons
IV. CONCLUSION
In this study, the modelling of cable stayed bridge has been
done for six different types of pylon’s shape i.e. A-type, H-type, Diamond type, Inverted Y-type, Double diamond type
and single pylon type on SAP 2000 software. The models of
bridge which have been prepared were having side supports
as well as end supports at both the ends of side span. The
following points which were used to carry out for the
modelling are as follows:
1)
The angles which have been made by inclined
pylons with deck shall be lies between “600 - 750”.
2) The minimum spacing between cables which was
jointed at pylon shall not be less than H/100 in
meters where H= height of pylon from the ground
level.
3) The intermediate supports which were used as side
span supports shall have the minimum spacing of
20 meters between them.
These conclusions are based on the models which
were prepared using SAP software therefore; anexperimental verification has been performed on these
before implementing these in practice.
R EFERENCES
[1] N D Shah & Dr. J A Desai 2010, “Nonlinear Aerostatic
Analysis of Self Anchored & Bi-stayed Cable Stayed
Bridges using sap 2000”, ISSN: 0975-6744 Volume 1,
Issue 1.
[2] Siddharth G. Shah, Desai.J.A & Solanki.C.H 2010,
“Effect of Pylon Shape on seismic response of Cable
stayed bridge with soil structure interaction”, ISSN:
0976-4399 Volume 1, Issue 3.[3] Olfat Sarhang Zadeh 2012, “Comparison between
three types of Cable Stayed Bridges using StructuralOptimisation”, M.E. thesis, School of Graduate and
Postdoctoral Studies, The University of Western
Ontario London, Ontario, Canada.
[4] Atul K. Desai 2013, “Siesmic Time History Analysis
for Cable Stayed Bridges considering different
geometrical configuration for near field earthquakes”,Volume 7.
[5] A.M.S. Freire, J.H.O. Negrap & A.V. Lopes 2006,
“Geometrical Nonlinearities on the static analysis of
highly flexible steel Cable Stayed Bridges”, ISSN:
2128-2140.
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Effect of the Different Shapes of Pylons on the Dynamic Analysis of Cable Stayed Bridge using SAP 2000
(IJSRD/Vol. 3/Issue 11/2016/099)
All rights reserved by www.ijsrd.com 414
[6] R. Kao, “A comparison of N.R. Methods &
Incremental Procedures for Geometrically Nonlinear
Analysis”, Computer & Structures 1974; 4: 1091-1097.[7] Uwe S., “Cable Stayed Bridge Concpet of Longer
Spans”, Journal of Bridge Engineering, Aug 1996,
Volume 1, 99-103.
[8] SAP2000, “Structural Analysis Programme” Integrated
Finite element Analysis and design of structures,
Computers and Structures Inc. Berkeley, California,1998.
[9] Desai A. K. & Desai J. A.(2009), “Effects of pylon
shapes on dynamic behaviour of cable-stayed bridges
subjected to seismic loading” , Ph D Thesis, Dept of
Applied Mechanics SVNIT-Surat ,78-103.