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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 694
Study on Cable Stayed Bridge using CSiBridge Software
Dr. Laju Kottalil1, M Merin Sabu2, Maria S Mathew2, Megha Pavanan2, Swaleeh Ali Ramzan V K2
1Prof, Department of Civil Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India
2Student, Department of Civil Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - Cable-stayed bridges have emerged as the
dominant structural system for long span bridge crossings
during the past thirty years. This success is due to a
combination of technical advancements and pleasing
aesthetics attributes. The interaction of the variousstructural
components results in an efficient structure which is
continuously evolving and providing new methods to increase
span lengths. The objective of this project is to conduct a
parametric study on the behaviour of bridges under loading
conditions. The results were compared and evaluated interms
of allowable displacement and bending moment. Out of
various softwares, CSi bridge software is used due to its
advanced modeling features and highly sophisticated design.
Key Words: Cable Stayed Bridge, CSi Bridge Software,
Parametric Study, Analysis, Modelling
1. INTRODUCTION
Bridges may be classified by how the actions of tension,
compression, bending, torsion and shear are distributed
through their structure. Cable stayed bridges are one of a
kind. Structural analysis can evaluate whether a specific
structural design will be able to withstand external and
internal stresses and forces expected for the design.
1.1 Cable stayed bridge
Cable stayed bridges are one of the most used bridge
typologies for spans between 200 m to about 1100m due to
their structural efficiency, cost and aesthetics. The major
factors that contributed to the development of cable stayed
bridges were the introduction of high strength steels,
orthotropic type decks, development of welding techniques
and progress in structural analysis.
Cable stayed bridge consists of a deck supported by a set of
stay cables connecting it to one or more towers; this
geometry combined with high strength materials used in its
construction results in very slender and flexible structures
that are very sensitive to traffic, wind and seismic loads .It is
a structural system with a continuous girder supported by
inclined stay cables from the towers. From the mechanical
point of view, the cable-stayed bridge is a continuous girder
bridge supported by elastic supports .The main cable is
eliminated and the cables are connected directly from the
deck to the tower. This way, all steel cables are in tension
and are used to their full efficiency. Due to the direct
connection of cables to the pylon, all forces acting on the
members are axial. The steel cable is stretched straight
between the pylon and the deck which means it is subjected
to axial tension, and the pylon has half ofthetotal loadacting
on either side of it which means the resulting force is direct
compression. The structural components of a cable-stayed
system behave in the followingmanner:Thestiffeninggirder
transmits the load to the tower throughthecables,whichare
always in tension. The stiffening girder is subjected to
bending and axial loading. The tower transmits the load to
the foundation under mainly axial action.
The cable-stayed bridge has spanning capacity longer than
that of cantilever bridges, truss bridges, arch bridges, and
box girder bridges, but shorter than that of suspension
bridges. In this range, the cable-stayed bridge is very
economical and has elegant appearance due to therelatively
small girder depth and has proved to be very competitive
against other bridge types. The bending moment in cable
stayed bridge is very less, due to the direct forces. This
reduces the amount of steel and concrete requiredbya large
scale, making the bridge more efficient and more economic
than the suspension bridge by reducing the cost of
maintenance. With the reduced bendingmoments,thewidth
of deck can also be reduced. It has much greater stiffness
than the suspension bridge, so that deformationsofthedeck
under live loads are reduced. They can be constructed by
cantilevering out from the tower – the cables act both as
temporary and permanent supports tothe bridgedeck.Fora
symmetrical bridge (i.e. spans on eithersideofthetower are
the same), the horizontal forces balance and large ground
anchorages are not required.
1.2 CSiBridge Software
The design and analysis of thistypeof bridgeisdoneusing
the software CSi bridge. Over the past thirty-five years,
Computer and Structures, Inc, has introduced new and
innovative ways to model complex structures.CSiBridge, the
latest innovation, is the ultimate integrated tool for
modeling, analysis, and design of bridge structures.Theease
with which all of these tasks can be accomplished makes
CSiBridge the most versatile and productive bridge design
package in the industry. CSi Bridge is specialized analysis
and design software tailored for the engineering of bridge
systems. Suspension, cable-stay, elevated-roadway, and
other types of bridge systems can be modelled and designed
to suit many purposes. Automated seismic design, one of
CSiBridge’s many features, incorporates the recently
adopted AASHTO Guide Specification for LRFD Seismic
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 695
Bridge Design 2nd Edition, 2011.CSiBridgeallowsengineers
to define specific seismic design parameters that are then
applied to the bridge model during an automated cycle of
analysis through design.
2. MODELLING OF THE BRIDGE
CSiBridge is a specialized analysis and design software
tailored for the engineering of bridge systems. Suspension,
cable-stay, elevated-roadway, and other types of bridge
systems may be modeled and designed to suit any one of a
variety of purposes, including means for crossing water,
linking points between shear terrain, or extending over
highway infrastructure. Customized controls and features
integrate across a powerful object-based modeling
environment to offer an intuitive, practical, and productive
computational tool for bridge engineering. Advanced
modeling features and sophisticated analysis techniques
account for dynamic effects, inelastic behavior, and
geometric nonlinearity. It implements a parametric object-
based modeling approachwhendevelopinganalytical bridge
systems. This enables designers to assign bridge
composition as an assembly of objects; ie, roadway
superstructure, substructure, abutments, piers, foundation
system, etc. CSiBridge is the premier software for bridge
engineering.
The major steps involved in the modelling process include:
Create the Layout Line(s):Layout lines are reference lines
used for defining the horizontal andvertical alignmentofthe
bridge and the vehicle lanes. Layout lines are defined using
stations for distance, bearings for horizontal alignment, and
grades for vertical alignment. Layout lines may be straight,
bent or curved, both horizontally and vertically.
Define lanes on the bridge: Lanes must be defined before a
bridge model can be analyzed for vehicle live loads. Lanes
are used in the definition of bridge live type load patterns
that are used in static and dynamic multi-step load cases.
Lanes can be defined with reference to layout lines or
existing frame objects. Typically, when using the bridge
modeler, lanes should be defined from layout lines.
Define Superstructure components:These component
definitions include deck section,diaphragmsandparametric
variations. The deck section definition includes the section
property, material property, the slab and girder thicknesses
etc. Various precast girders are available which can be
modeled to our requirement and rigid links have been used
to join the disconnected beams together. The software also
allows us to prestress the beams to the required
compression. Parametric variations define variations in the
deck section along the length of the bridge. Almost all
parameters used in the parametric definition of a deck
section can be specified to vary. The variations may be
linear, parabolic or circular. After a variation has been
defined, it can be assigned as part of the deck section
assignment to bridge objects. In this study we have
considered only linear variations.
Design of pylons: Function of Pylon or tower is to support
the cable system and transfer the forces to foundation.
Therefore, it is subjected to high axial forces and bending
moments and also depend upon support conditions. The
material of construction and cross section can be varied
depending upon soil condition,designloadetc.Herewehave
considered steel pylons of pipe section. There are also
different boundary conditions prevailing for the connection
and this study involves fixed condition.
Define vehicle loads :In CSiBridge, vehicles must be defined
to analyze a bridge model for vehicle loads. Those vehicle
loads are applied to the structure through lanes. In addition,
vehicles classes must be defined to analyze a bridge model
for vehicle live loads using a moving load load
case. Numerous standard vehicle types are built into the
program. In addition, the General Vehicle feature allows
creation of customized vehicle definitions. Each vehicle
definition consists of one or more concentrated or uniform
loads.
Define load patterns: A load pattern is a specified spatial
distribution of forces, displacements, temperatures, and
other effects that act upon the bridge. A load pattern by
itself does not cause any response in the bridge. Load
patterns must be applied in load cases in order to produce
results. One special type of load pattern available in
CSiBridge is the Bridge Live Load pattern.Inthattypeofload
pattern, one or more vehicles that move across the bridge
can be specified. For each vehicle, the following can be
specified: a time that the vehicle starts loading the bridge,
the initial vehicle location, and the directionoftravel andthe
speed of the vehicle. When used in a multi-step static or
multi-step dynamic (direct integration time history) load
case, this type of load pattern is useful in evaluating special
vehicle loads.
Define load cases for analysis: A load case defines how loads
are to be applied to the structure (e.g., statically or
dynamically), how the structure responds (e.g., linearly or
nonlinearly), and how the analysis is to be performed (e.g.,
modally or by direct-integration). Any load case type can be
used when analyzing a bridge model. There are several
analysis options that are specialized for analysis of vehicle
live loads. Moving load load cases compute influence lines
for various quantities and solve all permutations of lane
loading to obtain the maximum and minimum response
quantities. Multi-step static and multi-step dynamic (direct
integration time history) load cases can be used to analyze
one or more vehicles moving across the bridge at a specified
speed. These multi-step load cases are defined using special
bridge live load patterns that define the direction, starting
time and speed of vehicles moving along lanes.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 696
Figure -1: A 3-D Representation of the modelled cable
stayed bridge
3. PARAMETRIC STUDY
Basic design data:
Span of the bridge : 200m
Deck material : Concrete of M50 grade
Pylon Material : Steel of grade Fe350
Depth of deck : 1.8m
Width of deck : 8.4m
To find out best possible dimension of the bridge various
parameters were varied and the response quantities like
bending moment, shear force, torsion and axial force were
analysed. The study was carried out for cables,deck slaband
pylons which form major structural component for both
linear case and dynamic cases.
The parameters considered in the study include cable
diameter, number of cables, distance between the pylon,
number of pylons, pylon height and wall thickness of the
pylon
3.1 Variation In Number of Cables
Table -1: Model design data
Parameters Model 1 Model 2
Span 200m 200m
Deck width 8.4m 8.4m
Number of cables 7 x 2 9 x 2
Cable diameter 0.06m 0.06m
Distance between
pylons
8.4m 8.4m
Figure -2: Moment about horizontal axis of model 1
Figure -3: Moment about horizontal axis of model 2
Figure -4: Vertical displacement of model 1
Figure -5: Vertical displacement of model 2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 697
Table -2: Result comparison
Number of
cables
Maximum
moment
about
horizontal
axis
Maximum
vertical
displacement
Model 1 7 X 2 74325.53
kNm
2.5951m
Model 2 9 X 2 73611.28
kNm
2.3315 m
3.2 Variation in cable diameter
Table -3: Model design data
Parameters Model 1 Model2
Span 200m 200m
Deck width 8.4m 8.4m
Number of cables 9 x 2 9 x 2
Cable diameter 0.04m 0.06m
Distance between
pylons
8.4m 8.4m
Figure -6: Moment about horizontal axis of model 1
Figure -7: Moment about horizontal axis of model 2
Figure -8: Vertical displacement of model 1
Figure -9: Vertical displacement of model 2
Table -4: Result comparison
Cable
diameter
Maximum
moment
about
horizontal
axis
Maximum
vertical
displacement
Model
1
0.04 m 74325.53
kNm
2.5951 m
Model
2
0.06 m 66893.53
kNm
1.7267 m
3.3 Variation in distance between the pylons
Table -5: Model design data
Parameters Model 1 Model 2
Sspan 200m 200m
Deck width 8.4m 8.4m
Number of cables 9 x 2 9 x 2
Cable diameter 0.04m 0.04m
Distancebetween
pylons
8.4m 12m
Figure -10: Moment about horizontal axis of model 1
Figure -11: Moment about horizontal axis of model 2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 698
Figure -12: Vertical displacement of model 1
Figure-13: Vertical displacement of model 2
Table -6: Result comparison
Distance
between
pylons
Maximum
moment
about
horizontal
axis
Maximum
vertical
displacement
Model 1 8.4m 73611.28
kNm
1.726 m
Model 2 12 m 64513.76
kNm
1.461 m
3.4 Variation in pylon wall thickness
Table -7: Model design data
Figure -14:Moment about horizontal axis of model 1
Figure -15: Moment about horizontal axis of model 2
Figure -16: Moment about horizontal axis of model 3
Figure -17: Vertical displacement of model 1
Parameters Model1 Model 2 Model 3
Total span
Centre span
End spans
200m
100m
50m
200m
100m
50m
200m
100m
50m
Deck width 8.4m 8.4m 8.4m
Number of
cables
9 x 2 9 x 2 9 x 2
Cable
diameter
0.04m 0.04m 0.04m
Distance
between
pylons
8.4m 8.4m 8.4m
Pylon wall
thickness
0.3m 0.2m 0.1m
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 699
Figure -18: Vertical displacement of model 2
Figure -19: Vertical displacement of model 3
Table -8: Result comparison
Pylon wall
thickness
Maximum
moment about
horizontal axis
Maximum
vertical
displacement
Model 1 0.3m 23856.264kNm 0.4233 m
Model 2 0.2m 23977.873 kNm 0.4264 m
Model 3 0.1m 24225.28 kNm 0.4318 m
Bending moment and displacement value was found to be
decreasing with reduction in number of cables. Momentand
vertical displacement found tobedecreasingasthediameter
of cables decreased. Values for maximum moment and
displacement had a considerable amount of reductionasthe
distance betweentwopylons increased.Momentandvertical
displacement found to be decreasing as the pylon wall
thickness increased.
4. CONCLUSIONS
Considering the first parametric study wherein the number
of cables have been changed, it is seen that the maximum
moment and displacement has decreased while increasing
the number of cables.
In the second parametric study, the cable diameters have
been changed. Moment and displacement was found to be
decreasing as the cable diameters increases.
Thus, it has been concluded that prestressing the deck and
pretensioning the cables will reduce the moment and
displacement values. Prestressing of deck was done and
considerable reduction in maximum moment and
displacement values were found.
In the third parametric study, the distance between the
pylons has been changed. The values of maximum moment
and displacement has a considerable amountofreduction as
the distance between pylons increased.
The next study was conducted by considering two pylons
instead of a single pylon and three cases were considered by
changing the wall thickness. It has been obtained that the
maximum moment and displacement has reduced with
increase in the wall thickness.
REFERENCES
[1] Gurajapu Naga Raju, J Sudha Mani. Analysis And
Design Of Cable Stayed Bridge. International
Journal For Technological Research In Engineering
Volume 5, Issue 4, ISSN: 2347 – 4718,2017
[2] Elizabeth Davalos. Structural Behaviour of Cable-
stayed Bridges Submitted to the Department of
Civil and Environmental Engineering on May 5,
2000 in partial fulfillment of the requirements for
the degree of Master of Engineering in Civil and
Environmental Engineering.
[3] Lin W & Yoda T, Text Book on Cable-StayedBridges.
Bridge Engineering, 175–194, 2017
[4] Krishna Raju N, ‘Design Of Bridges’, Oxford & IBH
publishing co. pvt. Ltd., ISBN 81-204-0344-4
[5] Umang A. Koyani, Kaushik C. Koradia, ‘Parametric
Study Of Cable Stayed Bridge’ Journal of Emerging
Technologies and Innovative Research (JETIR) ,
ISSN-2349-5162
[6] T. P. Agrawal, ‘Cable Stayed Bridges-Parametric
Study’, Journal Of bridge Engineering, ASCE, ISSN
1084-0702/97/0002-0061

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IRJET- Study on Cable Stayed Bridge using Csibridge Software

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 694 Study on Cable Stayed Bridge using CSiBridge Software Dr. Laju Kottalil1, M Merin Sabu2, Maria S Mathew2, Megha Pavanan2, Swaleeh Ali Ramzan V K2 1Prof, Department of Civil Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India 2Student, Department of Civil Engineering, Mar Athanasius College of Engineering, Kothamangalam, Kerala, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Cable-stayed bridges have emerged as the dominant structural system for long span bridge crossings during the past thirty years. This success is due to a combination of technical advancements and pleasing aesthetics attributes. The interaction of the variousstructural components results in an efficient structure which is continuously evolving and providing new methods to increase span lengths. The objective of this project is to conduct a parametric study on the behaviour of bridges under loading conditions. The results were compared and evaluated interms of allowable displacement and bending moment. Out of various softwares, CSi bridge software is used due to its advanced modeling features and highly sophisticated design. Key Words: Cable Stayed Bridge, CSi Bridge Software, Parametric Study, Analysis, Modelling 1. INTRODUCTION Bridges may be classified by how the actions of tension, compression, bending, torsion and shear are distributed through their structure. Cable stayed bridges are one of a kind. Structural analysis can evaluate whether a specific structural design will be able to withstand external and internal stresses and forces expected for the design. 1.1 Cable stayed bridge Cable stayed bridges are one of the most used bridge typologies for spans between 200 m to about 1100m due to their structural efficiency, cost and aesthetics. The major factors that contributed to the development of cable stayed bridges were the introduction of high strength steels, orthotropic type decks, development of welding techniques and progress in structural analysis. Cable stayed bridge consists of a deck supported by a set of stay cables connecting it to one or more towers; this geometry combined with high strength materials used in its construction results in very slender and flexible structures that are very sensitive to traffic, wind and seismic loads .It is a structural system with a continuous girder supported by inclined stay cables from the towers. From the mechanical point of view, the cable-stayed bridge is a continuous girder bridge supported by elastic supports .The main cable is eliminated and the cables are connected directly from the deck to the tower. This way, all steel cables are in tension and are used to their full efficiency. Due to the direct connection of cables to the pylon, all forces acting on the members are axial. The steel cable is stretched straight between the pylon and the deck which means it is subjected to axial tension, and the pylon has half ofthetotal loadacting on either side of it which means the resulting force is direct compression. The structural components of a cable-stayed system behave in the followingmanner:Thestiffeninggirder transmits the load to the tower throughthecables,whichare always in tension. The stiffening girder is subjected to bending and axial loading. The tower transmits the load to the foundation under mainly axial action. The cable-stayed bridge has spanning capacity longer than that of cantilever bridges, truss bridges, arch bridges, and box girder bridges, but shorter than that of suspension bridges. In this range, the cable-stayed bridge is very economical and has elegant appearance due to therelatively small girder depth and has proved to be very competitive against other bridge types. The bending moment in cable stayed bridge is very less, due to the direct forces. This reduces the amount of steel and concrete requiredbya large scale, making the bridge more efficient and more economic than the suspension bridge by reducing the cost of maintenance. With the reduced bendingmoments,thewidth of deck can also be reduced. It has much greater stiffness than the suspension bridge, so that deformationsofthedeck under live loads are reduced. They can be constructed by cantilevering out from the tower – the cables act both as temporary and permanent supports tothe bridgedeck.Fora symmetrical bridge (i.e. spans on eithersideofthetower are the same), the horizontal forces balance and large ground anchorages are not required. 1.2 CSiBridge Software The design and analysis of thistypeof bridgeisdoneusing the software CSi bridge. Over the past thirty-five years, Computer and Structures, Inc, has introduced new and innovative ways to model complex structures.CSiBridge, the latest innovation, is the ultimate integrated tool for modeling, analysis, and design of bridge structures.Theease with which all of these tasks can be accomplished makes CSiBridge the most versatile and productive bridge design package in the industry. CSi Bridge is specialized analysis and design software tailored for the engineering of bridge systems. Suspension, cable-stay, elevated-roadway, and other types of bridge systems can be modelled and designed to suit many purposes. Automated seismic design, one of CSiBridge’s many features, incorporates the recently adopted AASHTO Guide Specification for LRFD Seismic
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 695 Bridge Design 2nd Edition, 2011.CSiBridgeallowsengineers to define specific seismic design parameters that are then applied to the bridge model during an automated cycle of analysis through design. 2. MODELLING OF THE BRIDGE CSiBridge is a specialized analysis and design software tailored for the engineering of bridge systems. Suspension, cable-stay, elevated-roadway, and other types of bridge systems may be modeled and designed to suit any one of a variety of purposes, including means for crossing water, linking points between shear terrain, or extending over highway infrastructure. Customized controls and features integrate across a powerful object-based modeling environment to offer an intuitive, practical, and productive computational tool for bridge engineering. Advanced modeling features and sophisticated analysis techniques account for dynamic effects, inelastic behavior, and geometric nonlinearity. It implements a parametric object- based modeling approachwhendevelopinganalytical bridge systems. This enables designers to assign bridge composition as an assembly of objects; ie, roadway superstructure, substructure, abutments, piers, foundation system, etc. CSiBridge is the premier software for bridge engineering. The major steps involved in the modelling process include: Create the Layout Line(s):Layout lines are reference lines used for defining the horizontal andvertical alignmentofthe bridge and the vehicle lanes. Layout lines are defined using stations for distance, bearings for horizontal alignment, and grades for vertical alignment. Layout lines may be straight, bent or curved, both horizontally and vertically. Define lanes on the bridge: Lanes must be defined before a bridge model can be analyzed for vehicle live loads. Lanes are used in the definition of bridge live type load patterns that are used in static and dynamic multi-step load cases. Lanes can be defined with reference to layout lines or existing frame objects. Typically, when using the bridge modeler, lanes should be defined from layout lines. Define Superstructure components:These component definitions include deck section,diaphragmsandparametric variations. The deck section definition includes the section property, material property, the slab and girder thicknesses etc. Various precast girders are available which can be modeled to our requirement and rigid links have been used to join the disconnected beams together. The software also allows us to prestress the beams to the required compression. Parametric variations define variations in the deck section along the length of the bridge. Almost all parameters used in the parametric definition of a deck section can be specified to vary. The variations may be linear, parabolic or circular. After a variation has been defined, it can be assigned as part of the deck section assignment to bridge objects. In this study we have considered only linear variations. Design of pylons: Function of Pylon or tower is to support the cable system and transfer the forces to foundation. Therefore, it is subjected to high axial forces and bending moments and also depend upon support conditions. The material of construction and cross section can be varied depending upon soil condition,designloadetc.Herewehave considered steel pylons of pipe section. There are also different boundary conditions prevailing for the connection and this study involves fixed condition. Define vehicle loads :In CSiBridge, vehicles must be defined to analyze a bridge model for vehicle loads. Those vehicle loads are applied to the structure through lanes. In addition, vehicles classes must be defined to analyze a bridge model for vehicle live loads using a moving load load case. Numerous standard vehicle types are built into the program. In addition, the General Vehicle feature allows creation of customized vehicle definitions. Each vehicle definition consists of one or more concentrated or uniform loads. Define load patterns: A load pattern is a specified spatial distribution of forces, displacements, temperatures, and other effects that act upon the bridge. A load pattern by itself does not cause any response in the bridge. Load patterns must be applied in load cases in order to produce results. One special type of load pattern available in CSiBridge is the Bridge Live Load pattern.Inthattypeofload pattern, one or more vehicles that move across the bridge can be specified. For each vehicle, the following can be specified: a time that the vehicle starts loading the bridge, the initial vehicle location, and the directionoftravel andthe speed of the vehicle. When used in a multi-step static or multi-step dynamic (direct integration time history) load case, this type of load pattern is useful in evaluating special vehicle loads. Define load cases for analysis: A load case defines how loads are to be applied to the structure (e.g., statically or dynamically), how the structure responds (e.g., linearly or nonlinearly), and how the analysis is to be performed (e.g., modally or by direct-integration). Any load case type can be used when analyzing a bridge model. There are several analysis options that are specialized for analysis of vehicle live loads. Moving load load cases compute influence lines for various quantities and solve all permutations of lane loading to obtain the maximum and minimum response quantities. Multi-step static and multi-step dynamic (direct integration time history) load cases can be used to analyze one or more vehicles moving across the bridge at a specified speed. These multi-step load cases are defined using special bridge live load patterns that define the direction, starting time and speed of vehicles moving along lanes.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 696 Figure -1: A 3-D Representation of the modelled cable stayed bridge 3. PARAMETRIC STUDY Basic design data: Span of the bridge : 200m Deck material : Concrete of M50 grade Pylon Material : Steel of grade Fe350 Depth of deck : 1.8m Width of deck : 8.4m To find out best possible dimension of the bridge various parameters were varied and the response quantities like bending moment, shear force, torsion and axial force were analysed. The study was carried out for cables,deck slaband pylons which form major structural component for both linear case and dynamic cases. The parameters considered in the study include cable diameter, number of cables, distance between the pylon, number of pylons, pylon height and wall thickness of the pylon 3.1 Variation In Number of Cables Table -1: Model design data Parameters Model 1 Model 2 Span 200m 200m Deck width 8.4m 8.4m Number of cables 7 x 2 9 x 2 Cable diameter 0.06m 0.06m Distance between pylons 8.4m 8.4m Figure -2: Moment about horizontal axis of model 1 Figure -3: Moment about horizontal axis of model 2 Figure -4: Vertical displacement of model 1 Figure -5: Vertical displacement of model 2
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 697 Table -2: Result comparison Number of cables Maximum moment about horizontal axis Maximum vertical displacement Model 1 7 X 2 74325.53 kNm 2.5951m Model 2 9 X 2 73611.28 kNm 2.3315 m 3.2 Variation in cable diameter Table -3: Model design data Parameters Model 1 Model2 Span 200m 200m Deck width 8.4m 8.4m Number of cables 9 x 2 9 x 2 Cable diameter 0.04m 0.06m Distance between pylons 8.4m 8.4m Figure -6: Moment about horizontal axis of model 1 Figure -7: Moment about horizontal axis of model 2 Figure -8: Vertical displacement of model 1 Figure -9: Vertical displacement of model 2 Table -4: Result comparison Cable diameter Maximum moment about horizontal axis Maximum vertical displacement Model 1 0.04 m 74325.53 kNm 2.5951 m Model 2 0.06 m 66893.53 kNm 1.7267 m 3.3 Variation in distance between the pylons Table -5: Model design data Parameters Model 1 Model 2 Sspan 200m 200m Deck width 8.4m 8.4m Number of cables 9 x 2 9 x 2 Cable diameter 0.04m 0.04m Distancebetween pylons 8.4m 12m Figure -10: Moment about horizontal axis of model 1 Figure -11: Moment about horizontal axis of model 2
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 698 Figure -12: Vertical displacement of model 1 Figure-13: Vertical displacement of model 2 Table -6: Result comparison Distance between pylons Maximum moment about horizontal axis Maximum vertical displacement Model 1 8.4m 73611.28 kNm 1.726 m Model 2 12 m 64513.76 kNm 1.461 m 3.4 Variation in pylon wall thickness Table -7: Model design data Figure -14:Moment about horizontal axis of model 1 Figure -15: Moment about horizontal axis of model 2 Figure -16: Moment about horizontal axis of model 3 Figure -17: Vertical displacement of model 1 Parameters Model1 Model 2 Model 3 Total span Centre span End spans 200m 100m 50m 200m 100m 50m 200m 100m 50m Deck width 8.4m 8.4m 8.4m Number of cables 9 x 2 9 x 2 9 x 2 Cable diameter 0.04m 0.04m 0.04m Distance between pylons 8.4m 8.4m 8.4m Pylon wall thickness 0.3m 0.2m 0.1m
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 05 | May 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 699 Figure -18: Vertical displacement of model 2 Figure -19: Vertical displacement of model 3 Table -8: Result comparison Pylon wall thickness Maximum moment about horizontal axis Maximum vertical displacement Model 1 0.3m 23856.264kNm 0.4233 m Model 2 0.2m 23977.873 kNm 0.4264 m Model 3 0.1m 24225.28 kNm 0.4318 m Bending moment and displacement value was found to be decreasing with reduction in number of cables. Momentand vertical displacement found tobedecreasingasthediameter of cables decreased. Values for maximum moment and displacement had a considerable amount of reductionasthe distance betweentwopylons increased.Momentandvertical displacement found to be decreasing as the pylon wall thickness increased. 4. CONCLUSIONS Considering the first parametric study wherein the number of cables have been changed, it is seen that the maximum moment and displacement has decreased while increasing the number of cables. In the second parametric study, the cable diameters have been changed. Moment and displacement was found to be decreasing as the cable diameters increases. Thus, it has been concluded that prestressing the deck and pretensioning the cables will reduce the moment and displacement values. Prestressing of deck was done and considerable reduction in maximum moment and displacement values were found. In the third parametric study, the distance between the pylons has been changed. The values of maximum moment and displacement has a considerable amountofreduction as the distance between pylons increased. The next study was conducted by considering two pylons instead of a single pylon and three cases were considered by changing the wall thickness. It has been obtained that the maximum moment and displacement has reduced with increase in the wall thickness. REFERENCES [1] Gurajapu Naga Raju, J Sudha Mani. Analysis And Design Of Cable Stayed Bridge. International Journal For Technological Research In Engineering Volume 5, Issue 4, ISSN: 2347 – 4718,2017 [2] Elizabeth Davalos. Structural Behaviour of Cable- stayed Bridges Submitted to the Department of Civil and Environmental Engineering on May 5, 2000 in partial fulfillment of the requirements for the degree of Master of Engineering in Civil and Environmental Engineering. [3] Lin W & Yoda T, Text Book on Cable-StayedBridges. Bridge Engineering, 175–194, 2017 [4] Krishna Raju N, ‘Design Of Bridges’, Oxford & IBH publishing co. pvt. Ltd., ISBN 81-204-0344-4 [5] Umang A. Koyani, Kaushik C. Koradia, ‘Parametric Study Of Cable Stayed Bridge’ Journal of Emerging Technologies and Innovative Research (JETIR) , ISSN-2349-5162 [6] T. P. Agrawal, ‘Cable Stayed Bridges-Parametric Study’, Journal Of bridge Engineering, ASCE, ISSN 1084-0702/97/0002-0061