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Rail Grade Separation From South Road Detailed Design
i | P a g e
Detailed Design
South Road & Outer Harbor Rail Line Grade
Separation
12thJune 2013
Rail Grade Separation From South Road Detailed Design
ii | P a g e
Principal Contacts
Kumaran Kanapathy
Project Manager 0404 340 826
Constantinos Morias Assistant Project Manager/Quality Manager
0416 625 865
June 2013
South Road & Outer Harbor Rail Line Grade
Separation
Detailed Design
Rail Grade Separation From South Road Detailed Design
iii | P a g e
Document History and Status
Revision Description Author Reviewed Approved Date
A Final Version KK CM KK 12/06/2013
Rail Grade Separation From South Road Detailed Design
iv | P a g e
Executive Summary
Over the years, the South road and outer harbour rail line intersection has become an increasingly
large problem with congestion and accidents. Through the completion of a feasibility study, it was
determined that the best solution for this was to separate the two by elevating the railway over
South road and making it an overpass.
As well as developing an over pass over South road, the recommendations of the feasibility study
included elevating the railway over Queen Street. To utilise the space under the bridge between
Queen Street and South road, the feasibility study recommended creating a car park for patrons of
the station. It was also determined that the Croydon station, now situated on the western side of
Queen street, would be elevated on to the bridge and would be moved to the eastern side of Queen
street.
The team at EDGE Engineering has worked together to provide a detailed design that meets the
needs of the client (the Department of Transport and Infrastructure) and the community as well as
providing an economically viable solution.
In addition to this document, there are a number of other documents that should be a consulted:
A Drawings Document, complete with the detailed drawings of this design
An Environmental Management Plan Document
Construction Methodology and relating gant charts
Bill of Quantities Document
A technical specifications and occupational health and safety document
All of these have been completed by EDGE Engineering with the aim of providing a more
comprehensive service.
The total cost of the proposed design will be $ 41.6 M.
Rail Grade Separation From South Road Detailed Design
v | P a g e
Table of Contents
Document History and Status ................................................................................................................ iii
Executive Summary ................................................................................................................................ iv
Table of Contents .................................................................................................................................... v
Table of Figures ....................................................................................................................................... x
List of Tables .........................................................................................................................................xiv
1. Project Background ....................................................................................................................... 18
2. Introduction .................................................................................................................................. 21
3. Project Funding ............................................................................................................................. 22
4. Deliverables ................................................................................................................................... 23
5. Project Goals & Objectives ............................................................................................................ 24
5.1 Goals………………………………………………………………………………. .................................................. 24
5.2 Objectives ………………………………………………………………………….. .............................................. 25
5.3 Design Requirements………………………………………………….. ………………………………………………….26
5.4 Further considerations…………………………………………………………… .......................................... 27
Detailed Design Breakdown .................................................................................................................. 28
6. Rail Bridge Design ......................................................................................................................... 28
6.1 Railway Traffic Loads……………………………………………………………. ............................................ 29
6.2 Wind Load Calculations……………………………………………………….. ............................................. 35
6.3 Rail Bridge Earthquake Loads……………………………………………… .............................................. 38
6.4 Deck Reinforcement Design…………………………………………… ................................................... 43
6.5 Barrier Between rail and bike/pedestrian lanes……………………… .......................................... 49
6.6 Station Platform…………………………………………………………….. ................................................... 55
6.7 Girder Design for 44.34m…………………………………………………… ............................................... 79
6.8 Girder Design for 37.5m and other shorter spans……………….. ........................................... 102
6.9 Headstocks……………………………………………………………………….. .............................................. 125
6.10 Abutments………………………………………………………………………. ............................................... 147
6.11 Pile Design at Station……………………………………………………. .................................................. 171
Rail Grade Separation From South Road Detailed Design
vi | P a g e
6.12 Pile cap design (station)……………………………………………………………….Error! Bookmark not
defined.
6.13 Piles…………………………………………………………………………………… .. Error! Bookmark not defined.
6.14 Pile cap design (rest of bridge)……………………………………………….Error! Bookmark not
defined.
6.15 Lift opening through deck…………………………………………………… . Error! Bookmark not defined.
6.16 Stormwater Railway Drainage Calculations…………………………. Error! Bookmark not defined.
6.17 Stairs……………………………………………………………………………… ...... Error! Bookmark not defined.
7. Civil Works ....................................................................................... Error! Bookmark not defined.
7.1 New or Realigned Roads…………………………………………………… ... Error! Bookmark not defined.
7.2 Pavement Design…………………………………………………………… ...... Error! Bookmark not defined.
7.2.1 Main Road Pavement Design ........................................... Error! Bookmark not defined.
7.2.2 Side Road Pavement Design............................................. Error! Bookmark not defined.
7.2.3 Car Park Pavement Design ............................................... Error! Bookmark not defined.
7.3 Track Support System………………………………………………………… .. Error! Bookmark not defined.
7.3.1 Track Configuration Design .............................................. Error! Bookmark not defined.
7.3.2 Design of Sleeper Fastening systems, Rails, Sleepers and FasteningsError! Bookmark
not defined.
7.4 Track Ballast…………………………………………………………………………. Error! Bookmark not defined.
7.4.1 Ballast Material ................................................................ Error! Bookmark not defined.
7.4.2 Ballast Profile ................................................................... Error! Bookmark not defined.
7.5 Services………………………………………………………………………………….Error! Bookmark not
defined.
7.5.1 Current Services ............................................................... Error! Bookmark not defined.
7.5.2 New Services .................................................................... Error! Bookmark not defined.
7.5.3 Installation and Relocation of Services ............................ Error! Bookmark not defined.
7.5.4 Installation of Services ..................................................... Error! Bookmark not defined.
7.5.5 Relocation of Services ...................................................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
vii | P a g e
7.6 Earth Works……………………………………………………………………………Error! Bookmark not
defined.
7.6.1 Excavations....................................................................... Error! Bookmark not defined.
7.6.2 Communication cable ...................................................... Error! Bookmark not defined.
7.6.3 Electrification ................................................................... Error! Bookmark not defined.
7.6.4 Water Mains ..................................................................... Error! Bookmark not defined.
7.6.5 Storm Water ..................................................................... Error! Bookmark not defined.
7.6.6 Pile Installation ................................................................. Error! Bookmark not defined.
7.6.7 Car Park Pavement ........................................................... Error! Bookmark not defined.
7.6.8 Tree Removal ................................................................... Error! Bookmark not defined.
7.6.9 Cut and fill volume ........................................................... Error! Bookmark not defined.
7.6.10 Soil profile ........................................................................ Error! Bookmark not defined.
7.7 Compaction…………………………………………………………………………. Error! Bookmark not defined.
7.7.1 Road and car park pavement compaction ....................... Error! Bookmark not defined.
7.7.2 Embankment compaction ................................................ Error! Bookmark not defined.
7.7.3 List of materials for Earthwork ........................................ Error! Bookmark not defined.
7.8 Retaining Wall…………………………………………………………………….. Error! Bookmark not defined.
7.8.1 Stability of Retaining Wall ................................................ Error! Bookmark not defined.
7.8.2 Construction ..................................................................... Error! Bookmark not defined.
7.9 Storm Water Drainage System Design…………………………….. .... Error! Bookmark not defined.
7.9.1 Car Park Drainage System Design .................................... Error! Bookmark not defined.
7.9.2 Connection between Rail Drainage and Existing Drainage System Design ............ Error!
Bookmark not defined.
8. Traffic Management......................................................................... Error! Bookmark not defined.
8.1 Traffic Control Devices/Signage……………………………………….. .... Error! Bookmark not defined.
8.2 Road Signage Design…………………………………………………….. ....... Error! Bookmark not defined.
8.3 Existing conditions…………………………………………………………. ...... Error! Bookmark not defined.
8.3.1 Road control devices ........................................................ Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
viii | P a g e
8.4 Regulatory signs……………………………………………………………………..Error! Bookmark not
defined.
8.5 Speed limit series………………………………………………………………… Error! Bookmark not defined.
8.5.1 During Construction ......................................................... Error! Bookmark not defined.
8.5.2 Speed Limit Recommendation ......................................... Error! Bookmark not defined.
8.5.3 After project completion.................................................. Error! Bookmark not defined.
8.5.4 Longitudinal placement ................................................... Error! Bookmark not defined.
8.5.5 Mounting Height and Lateral Placement ......................... Error! Bookmark not defined.
8.5.6 Warning Sign .................................................................... Error! Bookmark not defined.
8.5.7 Lateral Placement and Location ....................................... Error! Bookmark not defined.
8.6 Guide & Service Signs………………………………………………………………….Error! Bookmark not
defined.
8.7 Temporary Signs……………………………………………………………………..Error! Bookmark not
defined.
8.8 Pavement Marking…………………………………………………………………Error! Bookmark not
defined.
8.8.1 Types of Pavement markings ........................................... Error! Bookmark not defined.
8.9 Traffic Management…………………………………………………………………..Error! Bookmark not
defined.
8.9.1 Pedestrian routes for Queen/ Elizabeth Street................ Error! Bookmark not defined.
8.9.2 South Road ....................................................................... Error! Bookmark not defined.
8.9.3 Storage Area and Site Office ............................................ Error! Bookmark not defined.
8.9.4 Detours for Queen Street................................................. Error! Bookmark not defined.
8.10 Car park Entrance/Exit……………………………………………………………………..Error! Bookmark not
defined.
8.11 Public Transport Management…………………………………………………Error! Bookmark not
defined.
8.12 Traffic management plan……………………………………………………………..Error! Bookmark not
defined.
Rail Grade Separation From South Road Detailed Design
ix | P a g e
8.12.1 Stage One ......................................................................... Error! Bookmark not defined.
8.12.2 Stage Two ......................................................................... Error! Bookmark not defined.
8.13 Capacity Check for Detour of South Rd……………………………………………Error! Bookmark not
defined.
8.14 Fill Haulage Management…………………………………………………………Error! Bookmark not
defined.
8.14.1 Girder Transport Management ........................................ Error! Bookmark not defined.
8.15 Emergency Management Response……………………………………… Error! Bookmark not defined.
9. Urban Considerations ...................................................................... Error! Bookmark not defined.
9.1 Bridge & Platform Design……………………………………………….. ..... Error! Bookmark not defined.
9.2 Pedestrians…………………………………………………………………………….Error! Bookmark not
defined.
9.2.1 Pedestrian Walkability ..................................................... Error! Bookmark not defined.
9.3 Cyclists………………………………………………………………………………………..Error! Bookmark not
defined.
9.4 Car Park Design…………………………………………………………………………Error! Bookmark not
defined.
9.5 Aesthetics…………………………………………………………………………………Error! Bookmark not
defined.
9.5.1 Open Spaces ..................................................................... Error! Bookmark not defined.
10. List of Drawings ............................................................................ Error! Bookmark not defined.
11. Works Cited .................................................................................. Error! Bookmark not defined.
12. Appendices ................................................................................... Error! Bookmark not defined.
Appendix A ............................................................................................... Error! Bookmark not defined.
Appendix B ............................................................................................... Error! Bookmark not defined.
Appendix C ............................................................................................... Error! Bookmark not defined.
Appendix D ............................................................................................... Error! Bookmark not defined.
Appendix E ............................................................................................... Error! Bookmark not defined.
Appendix F ............................................................................................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
x | P a g e
Rail Grade Separation From South Road Detailed Design
xi | P a g e
Table of Figures
Figure 1: Locality map of project area .................................................................................................. 20
Figure 2: Rail axel spacing ..................................................................................................................... 29
Figure 3: Force diagram for railway traffic loads .................................................................................. 30
Figure 4: Axel configuration .................................................................................................................. 30
Figure 5: Load input for 44.34m span ................................................................................................... 32
Figure 6: load input for 37.5m span ...................................................................................................... 32
Figure 7: Graph from Prokon 1 ............................................................................................................. 33
Figure 8: Graph of Prokon 2 .................................................................................................................. 33
Figure 9: Loading Input Diagram ........................................................................................................... 34
Figure 10: Graph of Prokon 3 ................................................................................................................ 34
Figure 11 - Ultimate Design Moments .................................................................................................. 43
Figure 12 - Ultimate Serviceability Moments ....................................................................................... 43
Figure 13: Magnel's Plot for Mid span (44.34 m).................................................................................. 82
Figure 14: Tendon Limits ....................................................................................................................... 84
Figure 15: Unbonded tendon limits ...................................................................................................... 86
Figure 16: Girder Cross Section 44.34m................................................................................................ 87
Figure 17: Magnel's Plot for Midspan (44.34m) .................................................................................. 90
Figure 18: Calculation of A'c for girder 44.34m .................................................................................... 94
Figure 19: Cross section for girder 37.5m and shorter ....................................................................... 102
Figure 20: Tendon Limits for girder 37.5m and shorter ...................................................................... 107
Figure 21: Unbonded tendon limits .................................................................................................... 109
Figure 22: Girder 37.5m cross section (2) ........................................................................................... 110
Figure 23: Magnel's Plot for Mid span (37.5m) .................................................................................. 112
Figure 24: Calculation of A'c for girder 37.5m and shorter ................................................................ 117
Figure 25: Output graph from Prokon ................................................................................................ 126
Figure 26: Output graph from Prokon 2 ............................................................................................. 131
Figure 27: Column Curve ..................................................................................................................... 145
Figure 28: Column Chart ..................................................................................................................... 146
Figure 29: Abutment Design Dimension ............................................................................................. 148
Figure 30: Reinforcement for section 1 .............................................................................................. 158
Figure 31: Reinforcement for section 2 .............................................................................................. 161
Figure 32: Reinforcement Design for section 3 .................................................................................. 165
Figure 33: Layout of reinforcement bar in abutment design ............................................................. 168
Rail Grade Separation From South Road Detailed Design
xii | P a g e
Figure 34: Design of Piling for Abutment ............................................................................................ 169
Figure 35: Elastomeric Bearing and Bearing Pedestal ........................................................................ 170
Figure 36: Properties of pile ................................................................................................................ 174
Figure 37: Reinforced Concrete Column Chart, g = 0.8 ...................................................................... 176
Figure 38: Reinforced Concrete Column, g = 0.9 ................................................................................ 176
Figure 39: Summary of pile group ....................................................................................................... 178
Figure 40: Side view of pile foundation ................................................... Error! Bookmark not defined.
Figure 41: Pile Properties ......................................................................... Error! Bookmark not defined.
Figure 42: : Reinforced Concrete Column, g = 0.8 ................................... Error! Bookmark not defined.
Figure 43: Reinforced Concrete Column, g = 0.9 ..................................... Error! Bookmark not defined.
Figure 44: Summary of Piles .................................................................... Error! Bookmark not defined.
Figure 45: Side view of pile foundation ................................................... Error! Bookmark not defined.
Figure 46: girder configuration with lift ................................................... Error! Bookmark not defined.
Figure 47: Graph from Prokon ................................................................. Error! Bookmark not defined.
Figure 48: Graph of 50 yrs. ARI 5 minutes duration storm ...................... Error! Bookmark not defined.
Figure 49: Pipe Bracket (1) ....................................................................... Error! Bookmark not defined.
Figure 50: Pipe Bracket (2) ....................................................................... Error! Bookmark not defined.
Figure 51: Design Pavement thickness for each layer (Main Road) ........ Error! Bookmark not defined.
Figure 52: Spreadsheet for calculations of DESA for each layer(Main road)Error! Bookmark not
defined.
Figure 53: Design Pavement thickness for each layer(side road) ............ Error! Bookmark not defined.
Figure 54: Spreadsheet for each layer of pavement (Side road) ............. Error! Bookmark not defined.
Figure 55: Design pavement thickness for each layer (Car park) ............ Error! Bookmark not defined.
Figure 56: Spreadsheet for calculations of DESA for each layer (Car Park)Error! Bookmark not
defined.
Figure 57: Subsurface diagram for each borehole data .......................... Error! Bookmark not defined.
Figure 58: Embankment volume .............................................................. Error! Bookmark not defined.
Figure 59: Coglin Street Cross Section ..................................................... Error! Bookmark not defined.
Figure 60: Triangle of western side of Coglin street at bridge ................. Error! Bookmark not defined.
Figure 61: 2% grade Coglin Street ............................................................ Error! Bookmark not defined.
Figure 62: Car Park Cut and Fill ................................................................ Error! Bookmark not defined.
Figure 63: Storm water layout ................................................................. Error! Bookmark not defined.
Figure 64: An example of Mechanically Stable Earth Wall (MSE) ............ Error! Bookmark not defined.
Figure 65: An example of Mechanically Stable Earth Wall (MSE) ............ Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
xiii | P a g e
Figure 66: Full flow conditions ................................................................. Error! Bookmark not defined.
Figure 67: Overland flow for Australian Urban Catchment. .................... Error! Bookmark not defined.
Figure 68: Flow travel time in channels ................................................... Error! Bookmark not defined.
Figure 69: Bypass separator chambers data ............................................ Error! Bookmark not defined.
Figure 70: Example of linear drainage system in car park ....................... Error! Bookmark not defined.
Figure 71: Example of Connection between rail drainage and existing drainage system design. .. Error!
Bookmark not defined.
Figure 72: Speed Limit Signs .................................................................... Error! Bookmark not defined.
Figure 73: Side mount Kerbed Roads (Urban) (AS1742.4-2008) ............. Error! Bookmark not defined.
Figure 74: No Entry Sign ........................................................................... Error! Bookmark not defined.
Figure 75: NO Right and Left Turn ........................................................... Error! Bookmark not defined.
Figure 76: Give Way Sign ......................................................................... Error! Bookmark not defined.
Figure 77: Clearway Sign .......................................................................... Error! Bookmark not defined.
Figure 78: Clearance Sign ......................................................................... Error! Bookmark not defined.
Figure 79: Location of Warning Signs in Advance of a Hazard................. Error! Bookmark not defined.
Figure 80: Park and Ride Sign ................................................................... Error! Bookmark not defined.
Figure 81: Parking with User Limitations ................................................. Error! Bookmark not defined.
Figure 82: Way out Sign ........................................................................... Error! Bookmark not defined.
Figure 83: Prepare to Stop Sign ............................................................... Error! Bookmark not defined.
Figure 84: Roadwork Ahead ..................................................................... Error! Bookmark not defined.
Figure 85: End Roadwork ......................................................................... Error! Bookmark not defined.
Figure 86: Detour Ahead .......................................................................... Error! Bookmark not defined.
Figure 87: Detour for Heavy Vehicles ...................................................... Error! Bookmark not defined.
Figure 88: Reduced Speed ....................................................................... Error! Bookmark not defined.
Figure 89: Workers ................................................................................... Error! Bookmark not defined.
Figure 90: Traffic Hazard Ahead ............................................................... Error! Bookmark not defined.
Figure 91: Changed Traffic Conditions Ahead .......................................... Error! Bookmark not defined.
Figure 92: Trucks Entering and Exiting ..................................................... Error! Bookmark not defined.
Figure 93: VSM sign Boards ..................................................................... Error! Bookmark not defined.
Figure 94: Single broken (standard) lines ................................................ Error! Bookmark not defined.
Figure 95: Barrier dividing lines (separates opposing traffic flows only) . Error! Bookmark not defined.
Figure 96: Edge Lines ............................................................................... Error! Bookmark not defined.
Figure 97: Turn Lines ................................................................................ Error! Bookmark not defined.
Figure 98: Give Way Line ......................................................................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
xiv | P a g e
Figure 99: Stop Line.................................................................................. Error! Bookmark not defined.
Figure 100: Stop Line ............................................................................... Error! Bookmark not defined.
Figure 101: Platform wait behind Line ..................................................... Error! Bookmark not defined.
Figure 102: Parking Space out Line .......................................................... Error! Bookmark not defined.
Figure 103: Dedicated Parking Space for People with Disabilities........... Error! Bookmark not defined.
Figure 104: Station Platform Markings .................................................... Error! Bookmark not defined.
Figure 105: Dedicated Parking Space Identification & Delineation ......... Error! Bookmark not defined.
Figure 106: Marking in Parking lot for Disabled Patrons ......................... Error! Bookmark not defined.
Figure 107: Pedestrian and Cyclist Foot Paths on Queen/ Elizabeth StreetError! Bookmark not
defined.
Figure 108: Pedestrian Footpath on Eastern and Western Side of South RoadError! Bookmark not
defined.
Figure 109: Site Office and Storage Area ................................................. Error! Bookmark not defined.
Figure 110: Truck Entrance and Exit ........................................................ Error! Bookmark not defined.
Figure 111: Heavy Vehicle Detour ........................................................... Error! Bookmark not defined.
Figure 112: Normal Traffic Detour ........................................................... Error! Bookmark not defined.
Figure 113: Car park Entrance/Exit .......................................................... Error! Bookmark not defined.
Figure 114: Proposed Routes for Public Transport .................................. Error! Bookmark not defined.
Figure 115: Detour for South Road .......................................................... Error! Bookmark not defined.
Figure 116: Queen/Elizabeth Street ........................................................ Error! Bookmark not defined.
Figure 117: Coglin Street .......................................................................... Error! Bookmark not defined.
Figure 118: Storage Site (from earthworks team) ................................... Error! Bookmark not defined.
Figure 119: Fill Supply Vehicle Routes ..................................................... Error! Bookmark not defined.
Figure 120: Fill Disposal Route ................................................................. Error! Bookmark not defined.
Figure 121: Girder Transport Route ......................................................... Error! Bookmark not defined.
Figure 122: Emergency Management Options Routes ............................ Error! Bookmark not defined.
Figure 123: Layout of station and access points ...................................... Error! Bookmark not defined.
Figure 124: Layout and networks of developed rail bridge ..................... Error! Bookmark not defined.
Figure 125: Walking catchment (5 mins) ................................................. Error! Bookmark not defined.
Figure 126: Days Tce & Queen St ............................................................. Error! Bookmark not defined.
Figure 127: South Rd & Euston Tce .......................................................... Error! Bookmark not defined.
Figure 128: Days & Euston Terrace .......................................................... Error! Bookmark not defined.
Figure 129: Surrounding scenery ............................................................. Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
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Rail Grade Separation From South Road Detailed Design
xvi | P a g e
List of Tables
Table 1: Wind Direction Multipliers ...................................................................................................... 35
Table 2: Cardinal Wind Speeds ............................................................................................................. 36
Table 3 - Loads ...................................................................................................................................... 43
Table 4: Details for station platform of top slab. .................................................................................. 55
Table 5: Property for Side beams .......................................................................................................... 60
Table 6: Properties of End beam ........................................................................................................... 65
Table 7: Details of Station Ramp ........................................................................................................... 70
Table 8: Properties of Girder 1(44.34m) ............................................................................................... 79
Table 9: Value for Mid span Magnel's Plot (44.34 m) ........................................................................... 82
Table 10: Properties of Girder 2 (44.34 m span) .................................................................................. 87
Table 11: Values for Magnel's Plot for Mid Span 2(44.34 m) ............................................................... 89
Table 12: Properties of tendon for 44.34 m ......................................................................................... 92
Table 13: Properties of Super Tee Girder for 37.5 m span ................................................................. 102
Table 14: Values for Magnel's Plot for Midspan of 37.5 m ................................................................. 105
Table 15: Properties of Girder for 37.5 m (In service) ........................................................................ 110
Table 16: Values for Magnel's Plot of 37.5 m ..................................................................................... 112
Table 17: Properties of Strand for 37.5 m span. ................................................................................. 115
Table 18: Pier Types ............................................................................................................................ 136
Table 19: Result for Column Chart ...................................................................................................... 144
Table 20: Value for the Unknowns...................................................................................................... 147
Table 21: Dimension for the abutment............................................................................................... 147
Table 22: Calculation of side friction load, Qs .................................................................................... 171
Table 23: Pile Properties ..................................................................................................................... 173
Table 24: Coordinates of Each piles .................................................................................................... 181
Table 25: Each piles Pm and wt .......................................................................................................... 182
Table 26: Pile Properties and Pile cap dimension .................................... Error! Bookmark not defined.
Table 27: Pile Cap Properties ................................................................... Error! Bookmark not defined.
Table 28: Calculation of side friction load, Qs ......................................... Error! Bookmark not defined.
Table 29: Pile Properties .......................................................................... Error! Bookmark not defined.
Table 30: Coordinates of Each piles ......................................................... Error! Bookmark not defined.
Table 31: Pm and WT value of each pile .................................................. Error! Bookmark not defined.
Table 32: Pile properties and pile cap dimension .................................... Error! Bookmark not defined.
Table 33: Pile Cap properties ................................................................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
xvii | P a g e
Table 34: Catchment area of Sump location ............................................ Error! Bookmark not defined.
Table 35: Runoff Coefficient data for each section. ................................ Error! Bookmark not defined.
Table 36: 50 yrs. ARI Rainfall Data ........................................................... Error! Bookmark not defined.
Table 37: 5 minutes duration storm ........................................................ Error! Bookmark not defined.
Table 38: Location of Exit Pipes ............................................................... Error! Bookmark not defined.
Table 39: Approximate travel time for each catchment. ......................... Error! Bookmark not defined.
Table 40: Travel time for each sump location. ........................................ Error! Bookmark not defined.
Table 41: Max flow for exit pipes ............................................................. Error! Bookmark not defined.
Table 42: Selected Pipe Material ............................................................. Error! Bookmark not defined.
Table 43: Manning's Roughness Coefficient for each pipe type .............. Error! Bookmark not defined.
Table 44: Slope of pipes ........................................................................... Error! Bookmark not defined.
Table 45: Capacity of concrete pipes ....................................................... Error! Bookmark not defined.
Table 46: Capacity of PVC pipes. .............................................................. Error! Bookmark not defined.
Table 47: Pipe specification for Rail track. ............................................... Error! Bookmark not defined.
Table 48: Pipe Specification for Bike path. .............................................. Error! Bookmark not defined.
Table 49: Pipe Specification for Station. .................................................. Error! Bookmark not defined.
Table 50: Pipe Specification for Exit Pipes. .............................................. Error! Bookmark not defined.
Table 51: Pipe and water self-weight ...................................................... Error! Bookmark not defined.
Table 52: Maximum shear force .............................................................. Error! Bookmark not defined.
Table 53: Maximum bending moment .................................................... Error! Bookmark not defined.
Table 54: Maximum deflection ................................................................ Error! Bookmark not defined.
Table 55: Pipe dimensions (1) .................................................................. Error! Bookmark not defined.
Table 56: Pipe dimensions (2) .................................................................. Error! Bookmark not defined.
Table 57: Pipe dimensions (3) .................................................................. Error! Bookmark not defined.
Table 58: Design Traffic Loading .............................................................. Error! Bookmark not defined.
Table 59: Design Pavement Composition for Main Road. ....................... Error! Bookmark not defined.
Table 60: Design Pavement Composition for Side road .......................... Error! Bookmark not defined.
Table 61: Design Pavement Composition for Car Park ............................ Error! Bookmark not defined.
Table 62: Track Configuration for Broad Gauge Tracks ........................... Error! Bookmark not defined.
Table 63: Fastening System for Concrete Sleepers and Barriers with Resilient Fastening. ............ Error!
Bookmark not defined.
Table 64: Sleeper Profile .......................................................................... Error! Bookmark not defined.
Table 65: Ballast Profile ........................................................................... Error! Bookmark not defined.
Table 66 : Ballast Profiles ......................................................................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
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Table 67: Minimum Cover for services underground .............................. Error! Bookmark not defined.
Table 68: Total Volumes for cut and fill ................................................... Error! Bookmark not defined.
Table 69: The Reinforced Soil Property ................................................... Error! Bookmark not defined.
Table 70: The unreinforced soil property ................................................ Error! Bookmark not defined.
Table 71: The reinforcement length ........................................................ Error! Bookmark not defined.
Table 72: The retaining wall length details .............................................. Error! Bookmark not defined.
Table 73: The reinforced backfill soil zone each layer soil property detail.Error! Bookmark not
defined.
Table 74: The reinforced backfill soil zone vertical parts ........................ Error! Bookmark not defined.
Table 75: The reinforced backfill soil zone horizontal parts .................... Error! Bookmark not defined.
Table 76: The unreinforced backfill soil zone each layer soil property detailsError! Bookmark not
defined.
Table 77: The unreinforced backfill soil zone vertical parts .................... Error! Bookmark not defined.
Table 78: The unreinforced backfill soil zone horizontal parts ................ Error! Bookmark not defined.
Table 79: Factor of safety for sliding and overturning ............................. Error! Bookmark not defined.
Table 80: Check Maximum stress for bearing capacity ........................... Error! Bookmark not defined.
Table 81: Maximum factored tensile stress details ................................. Error! Bookmark not defined.
Table 82: Pullout friction factor, F ........................................................... Error! Bookmark not defined.
Table 83: Length of reinforcement in the resisting zone, Le ................... Error! Bookmark not defined.
Table 84: Length of Remainder length of reinforcement, La ................... Error! Bookmark not defined.
Table 85: The total length of reinforcement ........................................... Error! Bookmark not defined.
Table 86: Surcharge value ........................................................................ Error! Bookmark not defined.
Table 87: Rail Drainage System Data ....................................................... Error! Bookmark not defined.
Table 88: Result of velocity of each pipe ................................................. Error! Bookmark not defined.
Table 89: Linear drainage pipe maximum carry flow............................... Error! Bookmark not defined.
Table 90: Rainfall Intensity Duration Data (Geographic Location: 34.9333° South; 138.6° East AUSIFD Version
2.0) ............................................................................................................ Error! Bookmark not defined.
Table 91: Car Park Drainage System Design ............................................ Error! Bookmark not defined.
Table 92: Comparison the maximum flow and velocity between sub catchment area in 5 years and
100 years design life and stormwater drainage pipe. ............................. Error! Bookmark not defined.
Table 93: Connection between rail drainage and existing drainage system Design Data. ............. Error!
Bookmark not defined.
Table 94: Velocity and length of design drainage pipe ............................ Error! Bookmark not defined.
Table 95: Equipment Required Implementing Detours ........................... Error! Bookmark not defined.
Rail Grade Separation From South Road Detailed Design
xix | P a g e
Table 96: Equipment required for Detour in figure 34 ............................ Error! Bookmark not defined.
Table 97: Equipment required for detour in figure 116 .......................... Error! Bookmark not defined.
Table 98: List of equipment required for detour in figure 117 ................ Error! Bookmark not defined.
Table 99: materials required to implement Fill haulage management planError! Bookmark not
defined.
Table 100: Material required implementing the Girder Transport Management PlanError! Bookmark
not defined.
Rail Grade Separation From South Road Detailed Design
20 | P a g e
1. Project Background
North-South Corridor
The release of the 30-Year Plan for Greater Adelaide by the South Australian Government reflects a
policy shift towards stronger population growth, demographic change, land development and
employment increases over the next 30 years.
The main objective of the plan is to create an environment which promotes stronger economic
performance through more efficient and effective land use arrangements to support the growth of
new industries. The current transport network will constrain this future growth in the northern
region and ultimately, in the state and national economies.
The North-South Corridor, from Gawler in the north to Old Noarlunga in the south, has a series of
strategic non-stop road links to connect the rapidly expanding industrial and residential growth
areas in the north and the south, providing new opportunities for economic development. The 78
kilometre corridor will comprise four road links:
Northern Expressway from Gawler to Port Wakefield Road
Northern Connector from Port Wakefield Road to the Port River Expressway
South Road from Port River Expressway to the Southern Expressway
Southern Expressway from Darlington to Old Noarlunga
With the opening of the Northern Expressway to traffic in 2010, the completion of the Northern
Connector planning study in 2011 and the commencement of the duplication of the Southern
Expressway between Darlington and Old Noarlunga in 2011, planning of the South Road link
between the Port River Expressway and the Southern Expressway is essential to secure this
important North-South Corridor.
Planning for and delivering this South Road component of the non-stop corridor commenced with
the completion of the Gallipoli Underpass at South Road / Anzac Highway and the grade separation
of the Glenelg tram overpass of South Road in 2009.
The South Road Superway (currently under construction), features an elevated transit corridor with
multiple lanes in each direction, from the Port River Expressway and above the major intersections
Rail Grade Separation From South Road Detailed Design
21 | P a g e
of South Terrace, Wingfield rail line, Cormack Road, Grand Junction Road and Days Road, returning
to ground level near Taminga Street at Regency Park. Construction is anticipated to be completed by
late 2013.
The Department of Planning, Transport and Infrastructure (DPTI) has now commenced a major
planning study to investigate options for the non-stop corridor for the 9 kilometre section between
the southern end of the South Road Superway (at Regency Park) and the Gallipoli Underpass at
Anzac Highway (Everard Park). The planning study will look at both long term planning and
immediate infrastructure needs for this critical link in Adelaide’s road network.
Outer Harbor Rail Line
The planning study area also includes the Outer Harbor rail line; a dual broad-gauge track that
intersects with South Road, Croydon, at a signalised level crossing. Heavy rail passenger services to
and from Grange and Outer Harbor run at approximately four services per hour in each direction.
Through this area, the Outer Harbor rail line is in close proximity to the Queen Street precinct, a
significant community focal area with its cafés and community meeting spaces. Hence, there is a
strong preference to remove the existing rail level crossing as part of this project, but not a
requirement.
Rail Grade Separation From South Road Detailed Design
22 | P a g e
Figure 1: Locality map of project area
South RD
Port RD
Study Area
Rail Grade Separation From South Road Detailed Design
23 | P a g e
2. Introduction
The following document outlines Edge Engineering’s detailed design for the grade separation of
South Road and the Outer Harbor Rail Line.
With the feasibility study complete, it is now our task at Edge Engineering to complete a detailed
design of the recommendations that were specified in the feasibility study. The feasibility study
specified that a railway overpass would be the best solution for this area. Specialty divisions were
created based on the project needs and our employees’ knowledge and experience, which
encompassed all the parameters of the design.Our approach to this design phase has been as holistic
as possible with time constraints that the project had. We aim to provide a service and a solution
that integrates the existing with the new seamlessly and productively improving the community and
connecting areas.
Our division groups for this phase were divided up as so:
Rail Bridge Design Division
Civil Works Division
Environmental and Urban Management Division
Traffic Management Division
Construction Division
Quality Assurance Management Division
Each division groups (consisting of 3-10 employees) has elected a team leader. This team leader has
been elected due to their specialist experience and knowledge in that specific field. Having this
tiered management system coupled with the quality management plans enforced ensures an
effective solution has been achieved for each aspect of the project, through superior communication
within the management structure.
Rail Grade Separation From South Road Detailed Design
24 | P a g e
3. Project Funding
The Australian and South Australian Governments will be funding this project as is contributes to the
continued development of the South Road North – South corridor, stated by the 30 year plan. Both
levels of government have needs for this project to go ahead. Federal Government is funding project
in order to create a freight network which easily links all around Australia, and the State
Government is funding this project in order to fore fill the 30 year plan for South Australia and the
greater Adelaide.
Areas that future possible funding opportunities may come from:
Local Government
Private Sector
PPP (Public-Private Partnerships)
Rail Grade Separation From South Road Detailed Design
25 | P a g e
4. Deliverables
Edge Engineering has delivered the following items both within and with adjoined documentationfor
the detailed design:
The detailed design and report
A Quality Management System complete with documents,processes and logs of their
implementation
The Environmental Management Plan
A technical specification and Occupational Health and safety document
Complete drawings of the detailed design
A completed Bill of Quantities
Rail Grade Separation From South Road Detailed Design
26 | P a g e
5. Project Goals&Objectives
5.1 Goals
The goals of the detailed design remain the same as they have been throughout this project:
Ensure the National Network Transport Link (South Road) fulfils its role in accordance with
both State and National plans, and as a freight link as outlined in the 30-Year Plan for Greater
Adelaide
Support Adelaide’s future economic prosperity and liveability by ensuring efficient and
effective connectivity for people accessing employment, leisure and service opportunities
(both regional and local) and optimise the opportunity for integrated land use outcomes
Provide an integrated solution that directly and indirectly enhances transport system safety
for all road users (including motorists, public transport, pedestrians and cyclists)
Develop a corridor wide solution that makes the best use of both new and existing transport
network infrastructure, and is integrated with the broader multi-modal transport network of
Greater Adelaide
Develop a sustainable solution that provides the optimal balance between economic, social
and environmental outcomes.
Rail Grade Separation From South Road Detailed Design
27 | P a g e
5.2 Objectives
The objectives for this detailed design remain the same as they have been throughout this project:
To protect and provide freight priority consistent with a National Network Transport Link
between Wingfield and Darlington to the Port of Adelaide, Adelaide Airport and other
industrial and commercial centres consistent with Adelaide’s 30-Year Plan
To improve travel time, reliability and vehicle operating costs in Adelaide’s north-south
transport corridor
To improve accessibility to employment, leisure and service opportunities of Adelaide’s east-
west traffic (including by motorists, public transport, pedestrians and cyclists)
To contribute to the achievement of the SA Government’s public transport mode share target
as outlined in the SA Strategic Plan
To minimise greenhouse gas emissions and improve air quality within the South Road corridor
To reduce the incidence and severity of South Road crashes
To deliver a solution with positive net benefits (monetised plus non-monetised) for South
Australia.
Rail Grade Separation From South Road Detailed Design
28 | P a g e
5.3 Design Requirements
The minimum requirements that must be met in the design of the grade separation include:
reference to rail design guidelines for heavy passenger rail
a design solution that primarily caters for existing passenger rail demands
minimum separation of 800 metres between passenger rail stations
minimum platform size for passenger rail stations is 7.8 metres wide by 120 metres long, in
order to accommodate four passenger rail cars
posted rail speed of 80 kph for passenger rail services
a design solution that retains flexibility to accommodate the future widening of South Road,
as part of the non-stop North-South Corridor
a design solution that retains flexibility to accommodate future electrification of the Outer
Harbor passenger rail line
a design solution that minimises redundant infrastructure and disruption to traffic flow and
rail schedules during construction (minimum of one lane in each direction along South Road
to be maintained at all times)
Drainage design to comply with standards as defined by Council Stormwater Management
Plans for the surrounding catchments.
Maximum grade of 2% for rail services
Minimum clearance of 5.8m above the roadway for a rail bridge overpass
During construction a minimum of 1 lane either direction on South Rd must be maintained
Rail Grade Separation From South Road Detailed Design
29 | P a g e
5.4 Further considerations
In developing the detailed design for the grade separation of the Outer Harbor rail line from South
Road (Croydon), the following were considered:
Connectivity requirements
Transport modes (vehicles, cycle, pedestrian)
Local road network
Access (local road network, rail station, DDA compliance etc.)
Public transport impacts and opportunities
Environmental impacts and opportunities
Social impacts and opportunities
Existing site conditions
Land acquisition requirements
Constructability and construction impacts
Operation and maintenance requirements
Economic viability of the detailed design.
Rail Grade Separation From South Road Detailed Design
30 | P a g e
Detailed Design Breakdown
6. Rail Bridge Design
The rail bridge section has been broken into the following sections with corresponding calculation
sheets:
Section Calculation Job Number
6.1 Railway Traffic Loads RB 1001
6.2 Wind Load Calculations RB 1002
6.3 Rail Bridge Earthquake Loads RB 1003
6.4 Deck Reinforcement Design RB 1004
6.5 Barrier Between rail and bike/pedestrian lanes RB 1005
6.6 Station Platform RB 1006
6.7 Girder Design for 44.34m RB 1007
6.8 Girder Design for 37.5m and other shorter spans RB 1008
6.9 Headstocks RB 1009
6.10 Abutments RB 1010
6.11 Pile Design at Station RB 1011
6.12 Pile cap design (station) RB 1012
6.13 Piles RB 1013
6.14 Pile cap design (rest of bridge) RB 1014
6.15 Lift opening through deck RB 1015
6.16 Stormwater Railway Drainage Calculations RB 1016
6.17 Stairs RB 1017
Rail Grade Separation From South Road Detailed Design
31 | P a g e
6.1 Railway Traffic Loads
Railway Traffic Load:
Railway traffic load shall consist of groups of vehicles with four axles each having a load of 300 kN,
and have an axle spacing of 2.4 m, 5.9 m and 2.4 m. The spacing between the centres of each vehicle
axle group shall be 25.5 m as per the length of the passenger car. Dimensions were taken from direct
measurement and load was given by DPTI.
The position of the loads and the number of axle groups shall be selected so as to give maximum
load effects in the member under consideration.
Figure 2: Rail axel spacing
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 1 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
32 | P a g e
Figure 3: Force diagram for railway traffic loads
Dynamic Load Allowance:
The dynamic load allowance (α) for railway live load effects shall be proportion of the static railway
live load, and shall be calculated by the methods specified in AS 5100.2 Cl 8.4. The dynamic load
allowance applies to both the ultimate and serviceability limit states. The design action is equal to
(1+ α) x the load factor x the action under consideration.
Value of α for bending moment for ballasted deck span:
, where Lα is the
characteristic length and taken as the span of the main girder, 44.34 m.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: 2 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Figure 4: Axel configuration
Rail Grade Separation From South Road Detailed Design
33 | P a g e
Distribution of railway traffic load:
Ballasted deck concrete railway bridges
Railway traffic loads on ballasted deck railway bridges shall be uniformly distributed longitudinally
over a length of 1 m, plus the depth of ballast under the sleeper, plus twice the effective depth of
slab. The total length shall be not greater than the axle spacing.
The loads shall be uniformly distributed laterally over a width equal to the length of the sleepers plus
the depth of ballast below the bottom of the sleepers, plus twice the effective depth of the concrete
slab, unless limited by the extent of the structure. This width shall not be greater than the distance
between centres of adjacent tracks on multiple track railway bridges.
Assumption:
Since each rail track is equally placed on to two girders, the assumption is that the live load from rail
is split equally on to each girder.
Dynamic Load Allowance:
ULS: (1+ α) x the load factor = (1 + 0.064) * 1.6 = 1.70
SLS: (1+ α) x the load factor = (1 + 0.064) * 1.0 = 1.06
Load combination (ULS) = 1.2 G + 1.70 Q
Load combination (SLS) = 1.2 G + 1.064 Q
Distribution of railway traffic load:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 3of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
34 | P a g e
Longitudinally,
Self-weight of girder = 7.587 * 105 * 10-6 * 24 = 18.2 kN/m
Self-weight of deck = 2.1 * 0.2 * 24 = 10.08 kN/m
Self-weight of ballast = 24 * 0.25 * 2.3 = 14 kN/m
Depth of ballast = 0.25 m
Effective depth of slab = 0.15 m
Distribution length = 1 + 0.25 + 2 * 0.15 = 1.55 m
Distribution of railway load per axle = 300 / 1.55 = 191.1 kN/m
Hence, looking longitudinally, the rail load per axle is 191.1 kN/m over its distribution length of 1.55
metres.
Loads input for 44.34 m span:
Figure 5: Load input for 44.34m span
Loads input for 37.5 m span:
Figure 6: load input for 37.5m span
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 4of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
35 | P a g e
Output from 44.34 m span:
Figure 7: Graph from Prokon 1
Minimum Moment (without live loads), M1 = 12273 kNm
Maximum Moment (all loads present), M2 = 22464 kN
Output from 37.5 m span:
Figure 8: Graph of Prokon 2
Minimum Moment (without live loads), M1 = 9163 kNm
Maximum Moment(all loads present), M2 = 17096 kNm
Distribution of railway traffic loads laterally,
Length of sleeper = 2.5 m
Depth of ballast = 0.25 m
Effective depth of slab = 0.15 m
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 5 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
36 | P a g e
Distribution length = 2.5 + 0.25 + 2 * 0.15 = 3.05 m
Distribution of railway load per axle = 300 / 3.05 =98.36 kN/m
Hence, looking laterally, the rail load per axle is 98.36 kN/m over its distribution length of 3.05 m.
Loads input:
Figure 9: Loading Input Diagram
Bending Moment Output:
Figure 10: Graph of Prokon 3
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Railway Traffic Loads
Job Number: RB 1001 Contract: Rail Bridge Design
Date: 4/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 6 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
37 | P a g e
6.2 Wind Load Calculations
Design wind speed:
Vsit β = VRMd (Mzcat Ms Mt) from section 2.2 (AS1170.2)
Where:
- VR = Regional gust wind speed = 48 from table 3.1, region A1 (1170.2: 2004) for 2000 year
ARI as stated by section 16.2.2 in (AS5100.2: 2004)
- Md= Wind direction multipliers (8 cardinal directions) taken from table 3.2 for region A1
Table 1: Wind Direction Multipliers
Direction Multiplier
N 0.90
NE 0.80
E 0.80
SE 0.80
S 0.85
SW 0.95
W 1.00
NW 0.95
- Mzcat = Terrain/height multiplier = 0.83 with a height of less than 10m from table 4.1 (1170.2:
2004)
- Ms = Shielding multiplier which is a variable that changes depending on the section of
railway that is being analysed due to its long length. Hence a conservative value of 1 is taken.
Table 4.3 (1170.2: 2004)
- Mt = Topographic multiplier where Mt= MH=1 when H/2Lu<0.05. Because there are no
shielding hills in the area, a value of 1 is taken for all directions.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Wind Load Calculations
Job Number: RB 1002 Contract: Rail Bridge Design
Date: 5/6/13 Prepared: Chris Whisson
Sheet: 1 of 3 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
38 | P a g e
Therefore the cardinal wind speeds can be calculated:
Table 2: Cardinal Wind Speeds
Direction Wind Speed (m/s)
N 35.9
NE 31.9
E 31.9
SE 31.9
S 33.9
SW 37.8
W 39.8
NW 37.8
Calculation of the transverse wind load
Design transverse wind load is given by the equation from section 16.3.1 (AS5100.2: 2004)
Where,
Design wind speed and will be found through linear interpolation. The railway runs 11.3
degrees from perpendicular north. Hence interpolation between North and North east, and South
and South west is required.
Hence the critical wind is from the South West side and is 36.8m/s.
= Area from the critical span of bridge =
= Drag coefficient which is dependent on the b/d ratio where:
o b= the width of the bridge = 17.1m
o d= depth of the bridge = 9.80m
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Wind Load Calculations
Job Number: RB 1002 Contract: Rail Bridge Design
Date: 5/6/13 Prepared: Chris Whisson
Sheet: 2 of 3 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
39 | P a g e
Hence b/d = 1.53
And so = 1.7 from figure 16.3.3 (AS5100.2: 2004)
Therefore:
:
Hence,
The is converted to UDL as shown below:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Wind Load Calculations
Job Number: RB 1002 Contract: Rail Bridge Design
Date: 5/6/13 Prepared: Chris Whisson
Sheet: 3 of 3 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
40 | P a g e
6.3 Rail Bridge Earthquake Loads
First the bridge must be categorised from table 14.3.1(AS 5100.2:2004). This earthquake category
depends on:
- The bridge type: This bridge is classed as a type 2 bridge: (that is designed to carry large
volumes of traffic or bridges over other roadways, railways or buildings)
- The product of acceleration coefficient and site factor.
Acceleration coefficient: a= 0.1 in the Adelaide area: from table 2.3 (AS1170.4: 1993)
Site factor: S=1.25 comprised of mainly stiff clays or controlled fill from table
2.4(a) (AS1170.4: 1993)
Hence:
And the bridge earthquake design category from table 14.3.1(AS 5100.2:2004) is BEDC-2.
Requirements for category BEDC-2:
- Static bridge analysis.
- Consider both horizontal and vertical forces.
Static analysis: Horizontal
The formula for horizontal forces is as described in 14.5.2 (AS 5100.2:2004) and below
Where:
- I = Importance factor = 1 because it is a type 2 bridge from table 14.5.3 (AS5100.2)
- S = Site factor = 1.25 (calculated above)
- = Structural response factor = 6 from table 14.5.5 (AS5100.4: 2004)
- = total un factored dead load = 11136kN (calculated below)
- C = Earthquake design coefficient as described in 14.5.4 (AS 5100.2:2004) and below
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Rail Bridge Earthquake load
Job Number: RB 1003 Contract: Rail Bridge Design
Date: 7/6/13 Prepared: Chris Whisson
Sheet: Sheet 1 of 5 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
41 | P a g e
Where:
a
Where:
Where: W = the loadings of the bridge with a maximum span of 44.34m:
Where: L =span = 44.34
Where: E =37400 (65MPa concrete)
Where: I
Where:
Hence
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Rail Bridge Earthquake load
Job Number: RB 1003 Contract: Rail Bridge Design
Date: 7/6/13 Prepared: Chris Whisson
Sheet: Sheet 2 of 5 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
42 | P a g e
Hence,
Hence,
Static analysis: Vertical:
The formula for horizontal forces is as described in 14.5.2 (AS 5100.2:2004) and below
Where:
I = Importance factor = 1 because it is a type 2 bridge from table 14.5.3 (AS5100.2)
S = Site factor = 1.25 (calculated above)
= Structural response factor = 6 from table 14.5.5 (AS5100.4: 2004)
= total un factored dead load = 11136kN (calculated below)
C = Earthquake design coefficient as described in 14.5.4 (AS 5100.2:2004) and below
Where:
a
Where:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Rail Bridge Earthquake load
Job Number: RB 1003 Contract: Rail Bridge Design
Date: 7/6/13 Prepared: Chris Whisson
Sheet: Sheet 3 of 5 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
43 | P a g e
Where: W = the loadings of the bridge with a maximum span of 44.34m
Where: L =span = 44.34
Where: E =37400 (65MPa concrete)
Where: I
Where:
Hence
Hence
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Rail Bridge Earthquake load
Job Number: RB 1003 Contract: Rail Bridge Design
Date: 7/6/13 Prepared: Chris Whisson
Sheet: Sheet 4 of 5 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
44 | P a g e
Hence
However, according to section 14.5.6 of (AS 5100.2:2004) the vertical design force shall not be less
than 50% of the maximum horizontal design earthquake force in either direction.
Hence,
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Rail Bridge Earthquake load
Job Number: RB 1003 Contract: Rail Bridge Design
Date: 7/6/13 Prepared: Chris Whisson
Sheet: Sheet 5 of 5 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
45 | P a g e
6.4 Deck Reinforcement Design
Bending moments obtained from computer analysis using the following loads and load factors:
Table 3 - Loads
Title Load Ultimate Load Factor Serviceability Load factor
Deck Self Weight Calculated by software 1.2 1
Train Load 150kN/wheel 1.6 1
Ballast 2.94kN/m 1.7 1.3
Pedestrians 5kN 1.8 1
Track 0.6kN/m track 1.7 1.3
Barriers 7.2kN & 21.6kN 1.2 1
Sleepers 0.5kN 1.7 1.3
Load factors were obtained from AS5100.1. Diagrams of Space Gass output are provided below.
Figure 11 - Ultimate Design Moments
Figure 12 - Ultimate Serviceability Moments
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 1 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
46 | P a g e
Ultimate:
Serviceability:
Exposure Classification: B1, Minimum cover: 40mm
, Try N12 bars top and bottom
Design for 1m wide strip
Minimum design bending moment:
Top Reinforcement (Negative)
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 2 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
47 | P a g e
Try N12 bars at 250cts (440mm2/m)
Bottom Reinforcement (Positive)
Try N12 bars at 200cts (550mm2/m)
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 3 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
48 | P a g e
Use N12 at 250cts top and N12 at 200cts bottom
Crack Control
Shrinkage and temperature
Minimum steel met in primary direction.
Steel required in secondary direction:
Use N12 at 175cts top and bottom (1358mm2/m)
Crack Control for Flexure
Calculate stress in steel assuming section is cracked, assuming top steel is in tension
Maximum Steel Stress,
Positive
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 4 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
49 | P a g e
above top steel
Negative
above top steel
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 5 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
50 | P a g e
Centre to Centre spacing of all bars is less than 300mm
Development Length
Splicing
Top and bottom steel to be comprised of alternating rows of 11.1m and 6.4m bars and 10.5m and
7m bars with 500mm lap length. Secondary direction steel to be comprised of 9m long bars with
500mm laps, staggered between adjacent bars. See drawings for more details.
For the detailed drawings of the deck see drawing 14 (plan view of the deck detail) and 15 (cross
section of deck detail).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Deck Reinforcement Design
Job Number: RB 1004 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Chris Baird
Sheet: 6 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
51 | P a g e
6.5 Barrier Between rail and bike/pedestrian lanes
As stated in the design brief, the barrier will have a height of the 1.5m. The Australian standards (AS
5100.1 Clause 12.1) states that where cyclists may use the pedestrian way, the minimum railing
height shall be 1.3 m from the top of the pedestrian way. As the railway will be considered for
electrification, the Australian standards (AS 5100.1 Clause 12.2) states that protection barriers shall
be provided on all bridges over electrified railways and tramways where pedestrian access is
possible. The design and extent of these barriers shall be as required by the railway authority. Where
high barriers are to be provided, sight distances shall be considered in the design and positioning of
such barriers, particularly on curves or close to intersections.
Comparing the bridge design to the bridge conditions in the Australian Standards (AS 5100.1 Clause
10.5.6), the specific performance level barrier was chosen as these barriers shall be provided for
the effective containment of heavy, high centre of gravity vehicles in high risk situations on
high speed freeways, major highways and urban arterial roads with a high volume of mixed
heavy vehicles
site-specific, unusual conditions at critical locations
Locations where it is essential that penetration or vaulting by vehicles specified by the
authority under impact conditions needs to be prevented.
Minimum effective height for the specific performance level barrier was (AS 5100.2
Appendix A, A3)
Therefore, according to the standards (AS 3845 clause 3.6) and design brief, the barrier will be a
concrete road safety barrier type F, which meets test level 3.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail andbike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 1 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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52 | P a g e
Design as two way slab:
Using the Standards (AS 3600Table 6.10.3.2A)
Barrier height:
Barrier length:
Area:
Using the Arc Reinforcement handbook
Try
Bar diameter:
Barrier thickness:
Min Cover:
Concrete Strength: (AS 3600 table 3.1.2)
Yield strength:
According to AS 5100.2 Clause 10.4.4, including the superstructure, within horizontally and
vertically of the centre-line of the nearest railway track shall be designed for a minimum
collision load applied as an ultimate design load. The collision load shall be applied in any direction.
Dead load:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail andbike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 2 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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53 | P a g e
Uniformly distributed design load, factored for strength or serviceability
The design bending moments in a slab shall be determined as follows (AS 3600Table 6.10.3.2):
The positive design bending moments at midspan, and
on strips of unit width spanning
and , respectively, shall be calculated
The negative design bending moments at a continuous edge shall be taken as 1.33 times the
midspan values in the direction considered
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail and bike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 3 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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54 | P a g e
The negative design bending moment at a discontinuous edge, where there is a likelihood of
restraint, may be taken as
Strength of a beam in bending (AS Clause 8.1.3):
(Within the limits )
Effective depth long span:
Effective depth short span:
Slab reinforcement at mid-span:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail and bike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 4 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
55 | P a g e
From reinforcement handbook, with 200 spacing
, Ductility OK
> OK
Use for both primary and secondary directions.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail and bike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 5 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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56 | P a g e
Sight lines:
Barriers shall not impede the required sight lines for the public and train drivers. Barriers wont
impede as raillway is a straight line.
Protection screens:
According to the Australian standards (AS 5100.1 Clause 12.3), protection screens will be used to
prevent objects falling or being thrown from pedestrian bridges or pedestrian ways. The protection
screen will have a minimum height of above the roadway or walkway surface.
For the detailed drawings relating to the barrier consult drawing 28.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Barrier between rail and bike/pedestrian lanes
Job Number: RB 1005 Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Fezulla Dzeladini
Sheet: 6 of 6 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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57 | P a g e
6.6 Station Platform Top Slab
Table 4: Details for station platform of top slab.
f'c 40 MPa
Ly 10 m
Lx 8.4 m
Height 0.3 m
No of Slab Spans 12
Total Span 120 m
fd 81.64 kN/m2
βx 0.0415
βy 0.034
Loads:
Dead loads (G):
Slab self weight:
Services: 1
Asphalt:
Furniture: 10 {taken as a conservative value
Total = 18.73
Earthquake load (E) = 15.5/height =15.5/0.3 = 51.67
Live Load (Q):
Pedestrian load from AS1170.1: 5kpa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 1 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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58 | P a g e
X direction
Moments:
Positive moment at mid-span:
Negative moment at outside edges:
Negative moment at middle beams:
Reinforcement:
D =300mm, cover = 20mm, diameter of reinforcement bar db= 24mm, fsy = 500MPa, φ = 0.8
F’csy =
Top Reinforcement:
Therefore the minimum area of reinforcing is considered instead, and N24 at 100mm spacing is used
as this has an area of 4500mm2.
Ductility check:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 2 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
59 | P a g e
Mu>M* therefore this reinforcing is adequate.
Bottom Reinforcement:
Therefore the minimum area of reinforcing is considered instead, and N24 at 100mm spacing is used
as this has an area of 4500mm2.
Ductility check:
Mu>M* therefore this reinforcing is adequate.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 3 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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60 | P a g e
Y direction
Moments:
Positive moment at mid-span:
Negative moment at outside edges:
Negative moment at middle beams:
Reinforcement:
D =300mm, cover = 20mm, diameter of reinforcement bar db= 36mm, fsy = 500MPa, φ = 0.8
F’csy =
Top Reinforcement:
Therefore the minimum area of reinforcing is considered instead, and N36 at 175mm spacing is used
as this has an area of 5829mm2.
Ductility check:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 4 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
61 | P a g e
Mu>M* therefore this reinforcing is adequate.
Bottom Reinforcement:
Therefore the minimum area of reinforcing is considered instead, and N24 at 100mm spacing is used
as this has an area of 5829mm2.
Ductility check:
Mu>M* therefore this reinforcing is adequate.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 5 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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62 | P a g e
Side Beams
There are 12 of these beams on each side, therefore there are 24 of these beams.
Table 5: Property for Side beams
f'c 32.000 MPa
l 10.000 m
b 0.800 m
D 1.225 m
cover 25.000 mm
Loads:
Dead loads (G):
Beam self weight:
Slab: 1 {Taken from the total dead load of the slab}
Total = 48.13
Earthquake load (E) = 15.5/length =15.5/10 = 1.55 {the length that the earthquake load acts
on}
Live Load (Q):
Pedestrian load from AS1170.1: 5kpa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 6 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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63 | P a g e
Bottom Reinforcing:
D =1225mm, cover = 25mm, diameter of reinforcement bar db= 16mm, ligs=10mm, fsy = 500MPa
Therefore use 11N16 reinforcing bars, which have an area of 2200mm2.
Ductility Check:
ΦMu>M* therefore this reinforcing is adequate for the bottom of the beam.
Top Reinforcing:
Assume 3N16, with an area of 600mm2.
, , and
Assume kud =dc is located at 57.7mm and T=1100000;
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 7 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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64 | P a g e
Ductility Check:
Mu>M* therefore this reinforcing is adequate for the top of the beam.
Shear Reinforcement:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 8 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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65 | P a g e
Therefore shear reinforcement is needed in these beams.
To determine the reinforcing required at these beam supports the following method is followed.
The minimum area of shear reinforcement provided in the beam is given by equation 8.2.8 AS3600
The spacing is assumed to be the minimum of 0.5D (=612.5mm) or 300mm, so s = 300mm
Fsy =500MPa
The area of 168mm2 governs in this particular case.
To work out the minimum shear strength of the beam the following equation from AS 3600 -2009
8.2.9 is applied. The Vuc value is calculated with the Asv, min, so Vuc = 77.315kN.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 9 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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66 | P a g e
645.636kN is the governing value for the minimum Vu value
As
Taken from AS 3600-2009 8.2.2, therefore the required shear force of the steel is:
For perpendicular reinforcement the AS3600-2009 code used equation 8.2.10(1)
Assuming N12 Ligs are used:
Fsy = 500MPa, Asv = 220mm2 and θv is taken as 45°, so Cot θv= 1
Therefore the spacing is
Therefore N12 Ligatures are used at 300mm Centres
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 10 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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67 | P a g e
End/Cross Beams:
There are 13 of these beams at 10m intervals.
Table 6: Properties of End beam
f'c 32.000 MPa
l 6.800 m
b 0.500 m
D 1.225 m
cover 25.000 mm
Loads:
Dead loads (G):
Beam self weight:
Slab: 1 {Taken from the total dead load of the slab}
Total = 48.13
Earthquake load (E) = 15.5/length =15.5/6.8 = 2.279 {the length that the earthquake load
acts on}
Live Load (Q):
Pedestrian load from AS1170.1: 5kpa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 11 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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68 | P a g e
Bottom Reinforcing:
D =1225mm, cover = 25mm, diameter of reinforcement bar db= 16mm, ligs=10mm, fsy = 500MPa
Therefore use 5N16 reinforcing bars, which have an area of 1000mm2.
Ductility Check:
ΦMu>M* therefore this reinforcing is adequate for the bottom of the beam.
Top Reinforcing:
Assume 2N16, with an area of 400mm2.
, , and
Assume kud =dc is located at 44.5mm and T=500000;
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 12 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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69 | P a g e
Ductility Check:
Mu>M* therefore this reinforcing is adequate for the top of the beam.
Shear Reinforcement:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 13 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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70 | P a g e
Therefore shear reinforcement is needed in these beams.
To determine the reinforcing required at these beam supports the following method is followed.
The minimum area of shear reinforcement provided in the beam is given by equation 8.2.8 AS3600
The spacing is assumed to be the minimum of 0.5D (=612.5mm) or 300mm, so s = 300mm
Fsy =500MPa
The area of 105mm2 governs in this particular case.
To work out the minimum shear strength of the beam the following equation from AS 3600 -2009
8.2.9 is applied. The Vuc value is calculated with the Asv, min, so Vuc = 48.322kN.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 14 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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71 | P a g e
403.522kN is the governing value for the minimum Vu value
As
Taken from AS 3600-2009 8.2.2, therefore the required shear force of the steel is:
For perpendicular reinforcement the AS3600-2009 code used equation 8.2.10(1)
Assuming N12 Ligs are used:
Fsy = 500MPa, Asv = 220mm2 and θv is taken as 45°, so Cot θv= 1
Therefore the spacing is
Therefore N12 Ligatures are used at 300mm Centres
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 15 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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72 | P a g e
Station Ramp
The station ramp is made up of a reinforced top slab and then one way reinforced walls to hold it up.
The ramp goes to the top of the rails height, meaning that total height of the ramp is 1.2m.
Table 7: Details of Station Ramp
f'c 40 MPa
Ly 16.8 m
Lx 4 m
Height 0.25 m
Loads:
Dead loads (G):
Slab self-weight:
Asphalt:
Total = 6.53
Earthquake load (E) = 15.5/height =15.5/0.25 = 62
Live Load (Q):
Pedestrian load from AS1170.1: 5kpa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 16 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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73 | P a g e
X direction
Moments:
Positive moment at mid-span:
Negative moment at outside edges:
Negative moment at middle beams:
Reinforcement:
D =250mm, cover = 20mm, diameter of reinforcement bar db= 16mm, fsy = 500MPa, φ = 0.8
F’csy =
Top Reinforcement:
Therefore use N16 at 75mm spacing is used as this has an area of 2667mm2.
Ductility check:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 17 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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74 | P a g e
Mu>M* therefore this reinforcing is adequate.
Bottom Reinforcement:
Therefore use N16 at 100mm spacing is used as this has an area of 2000mm2.
Ductility check:
Mu>M* therefore this reinforcing is adequate.
Y direction
Moments:
Positive moment at mid-span:
Negative moment at outside edges:
Negative moment at middle beams:
.16
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 18 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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75 | P a g e
Reinforcement:
D =250mm, cover = 20mm, diameter of reinforcement bar db= 50mm, fsy = 500MPa, φ = 0.8
F’csy =
Top Reinforcement:
Therefore the minimum area of reinforcing is considered instead, and N50 at 225mm spacing is used
as this has an area of 8711mm2.
Ductility check:
Mu>M* therefore this reinforcing is adequate.
Bottom Reinforcement:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 19 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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76 | P a g e
Therefore the minimum area of reinforcing is considered instead, and N50 at 225mm spacing is used
as this has an area of 8711mm2.
Ductility check:
Mu>M* therefore this reinforcing is adequate.
The walls for the ramp are designed as a one way slab, designed for a 1m section, this is then applied
to the entire 16.8m length of the ramp.
Loads:
Dead loads (G):
Wall self-weight:
Slab self-weight:
Total = 11.3
Earthquake load (E) = 15.5/length=15.5/1.525 = 10.2
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 20 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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Live Load (Q):
Pedestrian load from AS1170.1: 5kpa
Moments:
Negative Moments {AS 3600 6.10.2.2} =
Positive Moments {AS 3600 6.10.2.3} =
Shear Force:
The minimum shear force as outlined in AS5100.5 equation 9.2.1(1) is given by the equation:
The following formulas are taken from AS3600 section 6.10.2.4.
Interior Span =
Midspan Span =
End Span =
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 21 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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78 | P a g e
Reinforcement Design:
N16 reinforcement bars are to be considered in the design of the reinforcement.
The minimum area of reinforcing is given as 0.0025bd, given in AS5100.5 section 9.1.1.
For the top reinforcing the negative moment of 7.27kN.m is to be used.
Where:
Ψ =0.8, fsy = 500MPa and Zu = 0.925d (due to slabs being ductile). So,
Therefore due to the minimum reinforcing area, N12 at 225mm spacing shall be used, as this has an
area of 440mm2.
Ductility check:
Where:
Ast = 435mm2
fsy = 500MPa
f’c = 40MPa
b = 1000mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 22 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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79 | P a g e
γ = 1.05-0.007f’c = 0.77
d = 174mm
Therefore:
This means that the slab is still ductile and the reinforcement is suitable.
For the bottom reinforcing the positive moment of 6.61kN.m is to be used.
Where:
Ψ =0.8, fsy = 500MPa and Zu = 0.925d (due to slabs being ductile). So,
Therefore due to the minimum reinforcing area, N12 at 225mm spacing shall be used, as this has an
area of 440mm2.
Ductility check:
Where:
Ast = 440mm2
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 23 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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80 | P a g e
fsy = 500MPa
f’c = 40MPa
b = 1000mm
γ = 1.05-0.007f’c = 0.77
d = 174mm
Therefore:
The slab is still ductile and the reinforcement is suitable.
This means that N12 reinforcement with 225mm spacing is to be for the entire length of the wall.
For the detailed drawing relating to the station consult drawings 17 (plan view of platform) and 18
(details of platform).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Station Platform
Job Number: RB 1006 Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Kathryn McAllister
Sheet: Sheet 24 of 24 Checked: Kumaran Kanapathy
Client: DPTI Approved: Kumaran Kanapathy
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6.7 Girder Design for 44.34m
Girder Design (44.34m):
The pre-tensioned girder is designed with consideration of the in-service stage and the construction
stage. Therefore, the following critical moments near the mid-span provided from software analysis
are from the two different stages.
In-service:
Minimum Moment, M1 = 12273 kNm
Maximum Moment, M2 = 22464 kNm
Construction:
Minimum Moment, M1 = 5470 kNm
Maximum Moment, M2 = 8318 kNm
In the in-service stage, the girder and the deck are joined together, hence, it can be considered to
have composite properties.
Table 8: Properties of Girder 1(44.34m)
D (mm) Area (mm2) Ix (mm4) Yb (mm) Zt (mm3) Zb (mm3)
1800 1.134 x 106 5.686 x 1011 1237 1.010 x 109 4.597 x 108
Using critical stress state (CSS) analysis, the following equations are used to determine the required
prestress force and the location for the tendons. Since the bridge is a simply supported span, the
minimum and maximum moments, M1 and M2 are also positive. This will require Case A of
prestressing.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 1 of 23 Checked: Kathryn McAllister
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Where H is the prestress force, is the effective prestress coefficient (assumed 0.85 initially).
f’c = 100 MPa
f’cp = 67.7 MPa
c = α1 * f’cp = 0.6 * 67.7 = 40.62 MPa
ct = α2 * = 0.3* = 2.47 MPa
Rearranging equations A1 with A3 and A2 with A4, the section modulus becomes:
Do an initial check that the girder’s section moduli are adequate.
Zt = 1.010 x 109mm3 > Ix / yt = 5.686 x 1011/ 563 = 2.82 * 108 mm3
Zb = 4.597 x 108mm3 > Ix / yb = 5.686 x 1011/ 1237 = 3.25 * 108 mm3
Hence, the girder’s section moduli are adequate.
Prestress Force:
Next would be attempting to solve for H using equation (A-1) * η * Zt + equation (A-4) * Zb
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 2 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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83 | P a g e
Which yields
Eccentricity from Centroid:
From H, determine the eccentricity at midspan.
Therefore, the H is 7824.24 kN with eccentricity of 1645.38mm.
Magnel’s Plot:
A more accurate method is to plot out a Magnel’s plot with the 4 equations and to find a suitable
eccentricity and prestress force.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 3 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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84 | P a g e
Table 9: Value for Mid span Magnel'sPlot (44.34 m)
H (kN) H (N) 1/H e1 e2 e3 e4
15000 15000000 6.667E-08 1891.480 1650.117 -548.606 1260.048
25000 25000000 0.00000004 1497.722 824.932 33.670 590.891
Figure 13: Magnel's Plot for Mid span (44.34 m)
From the plot, the eccentricity lies between A2 and A4. A suitable prestress force would be 20000 kN
with an eccentricity of 845mm.
To further check the criteria, calculations can be done by satisfying the equations below with the
chosen e and H value.
-1000.000
-500.000
0.000
500.000
1000.000
1500.000
2000.000
2500.000
0 2E-08 4E-08 6E-08 8E-08
ecc
en
tric
ity
(mm
)
1/H
Magnel's Plot Midspan Section
A1
A2
A3
A4
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 4 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
85 | P a g e
The variables are unchanged from the previous calculation steps, except H = 20000 kN and e = 845
mm.
M1 =12273 kNm, M2 = 22464 kNm
c = α1 * f’cp = 0.6 * 67.7 = 40.62 MPa
ct = α2 * = 0.3* = 2.47 MPa
Zt = 1.010 x 109 mm3
Zb = 4.597 x 108 mm3
The four equations are satisfied, therefore the design is valid.
Limiting Zone at Mid-span:
Recalculating the limiting zone at midspan using 20000 kN of H force.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 5 of 23 Checked: Kathryn McAllister
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86 | P a g e
The governing eccentricities are 1134.4 mm and 841.8 mm. Again, the chosen value of 845 mm lies
within the range.
Limiting Zone at Supports:
Next is to find out the eccentricity at the support points using the same H force of 20000 kN. The
moments at the support are zero. Similar steps are used to find the eccentricity at the support
section.
The governing eccentricities are +520.73 mm and -480 mm.
Tendons Limiting Zone Profile:
Figure 14: Tendon Limits
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
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Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 6 of 23 Checked: Kathryn McAllister
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From the profile, it can be clearly seen that the eccentricity at the mid-span does not lie in the
eccentricity range at the supports. However, in practice, the tendons run in a horizontal line
meaning that it must only have a single eccentricity throughout the whole length. This problem can
be rectified by unbonding part of the tendons near the support to increase the eccentricity range.
Unbonded Tendons:
The purposes of unbonding tendons near the ends is to increase the eccentricity range and also to
reduce the prestress force near the ends, as it might cause too large a negative moment since the
positive moment is a lot less near the ends than in mid-span in a simply supported girder. The
approach is to find the length from the support to the section where the positive and negative
moments are at balance when full bonding tendons start.
40% of the tendons are unbonded at start.
H = 0.6 * 20000 = 12000 kN
Find out the new eccentricity limits at supports using the four equations, since the prestressed force
is reduced.
The new governing eccentricities are +1114.83 mm and -524 mm.
This new range of eccentricities is acceptable for the chosen 845 mm.
Determine length of unbonding:
From software analysis, at 7.5 m, the moments M1 = 7000 kNm and M2 = 12737 kNm.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 7 of 23 Checked: Kathryn McAllister
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88 | P a g e
Criteria Check with A-1, A-2, A-3 and A-4 yields,
(Note that the H value is still 20000 kNm since the end of unbonding is the start of full bonding.)
Therefore, 40% of the tendons will be unbonded 7.5 m from support at both ends, so that a single
eccentricity will run throughout the girder.
Figure 15: Unbonded tendon limits
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 8 of 23 Checked: Kathryn McAllister
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Girder in Construction Stage:
In this stage, only the self-weight of girder and fresh concrete during formwork of deck is considered. The deck is not yet joined together with the girder; hence only consider the section properties of girder.
Table 10: Properties of Girder 2 (44.34 m span)
D (mm) Area (mm2) Ix (mm4) Yb (mm) Zt (mm3) Zb (mm3)
1800 7.587 x 105 3.205 x 1011 909 3.596 x 108 3.527 x 108
Figure 16: Girder Cross Section 44.34m
Minimum Moment, M1 = 5470 kNm Maximum Moment, M2 = 8318 kNm
The steps are similar to previous calculations. Using CSS approach, Case A of prestressing, determine if the girder in construction stage is adequate and has the same eccentricity and prestress value as in in-service stage.
Where H is the prestress force, is the effective prestress coefficient (assumed 0.85 initially).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 9 of 23 Checked: Kathryn McAllister
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90 | P a g e
f’c = 100 MPa
f’cp = 67.7 MPa
c = α1 * f’cp = 0.6 * 67.7 = 40.62 MPa
ct = α2 * = 0.3* = 2.47 MPa
Rearranging equations A1 with A3 and A2 with A4, the section modulus becomes:
Do an initial check that the girder’s section moduli are adequate.
Zt = 3.596 x 108 mm3 > Ix / yt = 3.205 x 1011/ 891 = 8.59 * 107 mm3
Zb = 3.527 x 108 mm3 > Ix / yb = 3.205 x 1011/ 909 = 9.92 * 107 mm3
Hence, the girder’s section moduli are adequate.
Prestress Force:
Solving for H using equation (A-1) * η * Zt + equation (A-4) * Zb
Which yields
Eccentricity from Centroid:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 10 of 23 Checked: Kathryn McAllister
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91 | P a g e
From H, determine the eccentricity at midspan.
Therefore, the H is 2560.7 kN with eccentricity of 2957 mm. The prestress force required is lower
and the eccentricity is higher than those in in-service stage. This is expected, since the loads are
lighter. Since the eccentricity in in-service stage is already found, the same location of eccentricity
should be used for construction stage as well.
e = 909 – (1237 – 845) = 517 mm
Magnel’s plot:
Table 11: Values for Magnel's Plot for Mid Span 2(44.34 m)
H (kN) H (N) 1/H e1 e2 e3 e4
15000 15000000 6.667E-08 897.971 854.745 -19.485 119.409
25000 25000000 0.00000004 728.427 326.958 177.954 -114.244
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 11 of 23 Checked: Kathryn McAllister
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92 | P a g e
Figure 17: Magnel's Plot for Midspan (44.34m)
From the plot, the acceptable region lies between A2 and A3. The chosen prestress force of 20000
kN and eccentricity of 517 mm lies within that region.
To further check the criteria, calculations can be done by satisfying the equations below with the
chosen e and H value.
The variables are unchanged from the previous calculation steps, except H = 20000 kN and e = 517
mm.
M1 =5470 kNm, M2 = 8318 kNm
-200.000
0.000
200.000
400.000
600.000
800.000
1000.000
0 2E-08 4E-08 6E-08 8E-08
ecc
en
tric
ity
(mm
)
1/H
Magnel's Plot Midspan Section
A1
A2
A3
A4
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 12 of 23 Checked: Kathryn McAllister
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Rail Grade Separation From South Road Detailed Design
93 | P a g e
c = α1 * f’cp = 0.6 * 67.7 = 40.62 MPa
ct = α2 * = 0.3* = 2.47 MPa
Zt = 3.596 x 108 mm3
Zb = 3.527 x 108 mm3
The four equations are satisfied, therefore the design is valid.
Limiting Zone at Mid-span:
Recalculating the limiting zone at midspan using 20000 kN of H force.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 13 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
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94 | P a g e
The governing eccentricities are 524.9 mm and 103.9 mm. Again, the chosen value of 517mm lies
within the range.
Limiting Zone at Supports:
Since it has been found that 40% of tendons will be unbounded near the supports, next is to find out
the eccentricity at the support points using H force of 12000 kN. The moments at the support are
zero. Similar steps are used to find the eccentricity at the support section.
The governing eccentricities are +548.1 mm and -550 mm. The chosen value of 517 mm lies within
the range. Therefore, the location of eccentricity is the same for both stages and the unbonded
section is also satisfactory for the construction stage.
No. of Tendons:
7-wire ordinary strands of 15.2 mm in nominal diameter are to be used.
Table 12: Properties of tendon for 44.34 m
Type Nominal diameter
(mm)
Nominal cross-sectional
area (mm2)
Nominal tensile
strength (MPa)
7-wire ordinary 15.2 143.0 1830
fpu = 1830 MPa
fpy = 0.82 * fpu = 1500.6 MPa
Area of prestress required, Apt = H/ fpy = 20000 * 103 / 1500.6 = 13328 mm2
No. of strands = 13328 / 143 = 93
Assuming there are seven 7-wire ordinary strands in one anchorage,
No. of tendons = 93/7 = 13
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 14 of 23 Checked: Kathryn McAllister
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95 | P a g e
Reinforcement and Moment Capacity:
Moment capacity is checked for in-service stage, since it is the most critical.
cover = 30 mm regardless of exposure classification as per SCI standards.
dia. sc = 24 mm
Assume 30N24 = 13500 mm2
dia. st = 20 mm
Assume 4N20 = 1240 mm2
Ligatures = N16
Apt = 13328 mm2
D = 1800 mm
bef = 2100 mm
yt = 563 mm
yb = 1237 mm
dsc = 30 + 16 + 24 / 2 = 58 mm
dst = 1800 – 30 – 16 – (20 / 2) = 1744 mm
e = 845 mm
do = 1744 mm
dp = 845 + 563 = 1408 mm
f’c = 100 MPa
f’cp = 67.7 MPa
fpu = 1830 MPa
fpy = 0.82 * fpu = 1500.6 MPa
fsy = 500 MPa
α2 = 1 – 0.003 * f’c = 0.7
γ = 1.05 – 0.007 * f’c = 0.35 take as 0.67 (0.67 <γ < 0.85)
Ultimate moment equation:
Mu = σpuAptdp + fsyAstdst – fsyAscdsc – α2f’cA’cd’c
σpu = fpu (1 – k1k2 / γ)
where k1 = 0.4 since fpy / fp< 0.9 1500.6 / 1830 = 0.82
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 15 of 23 Checked: Kathryn McAllister
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96 | P a g e
k2 = [fpuApt + fsy(Ast - Asc)] / (befdpf’c)
= [1830 * 13328 + 500 * (1240 – 13500)] / (2100 * 1408 * 100)
= 0.06 however, needs to be ≥ 0.17
σpu = 1830 * (1 – 0.4 * 0.17 / 0.67) = 1644.3 MPa
A’c = [σpuApt+fsy(Ast – Asc)] / (α2f’c)
= [1644.3 * 13328 + 500 * (1240 – 13500)] / (0.7 * 100)
= 225497.37 mm2
Figure 18: Calculation of A'c for girder 44.34m
Considering top part in compression, A’c can be equated to the area of compression.
A’c = 75 * 2100 + 2 * (γkud – 75) * 120
γkud = (225497.37 – 75 * 2100 + 18000) / 240
= 358.3 mm
Mean effective depth, d = (fpyAptdp + fsyAstdst) / (fpyApt + fsyAst)
d = (1500.6 * 13328 * 1408 + 500 * 1240 * 1744) / ( 1500.6 * 13328 + 500 * 1240)
= 1418.1 mm
ku = γkud / (γ*d) = 358.3 / (0.67 * 1418.1) = 0.377 > 0.36 (slightly over but close enough)
Therefore, the girder can be considered as ductile.
Distance from surface to centroid of compression zone, d’c
d’c = {(2100 * 75 * 37.5) + 2 * (γkud - 75) * 120 *[(γkud - 75) / 2 + 75)]} / A’c
= 91.52 mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 16 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
97 | P a g e
Mu = 1644.3 * 13328 * 1408 + 500 * 1240 * 1744 – 500 * 13500 * 58 – 0.7 * 100 * 225497.37 * 91.52
= 30101 kNm
φ Mu = 0.8 * 30101 = 24080.8 kNm > M* = 22464 kNm
Hence, the moment capacity is satisfactory. Also, the reinforcement in place is acceptable, 30N24 in
top flange and 4N20 in bottom flange.
Development Length:
Tension:
k1 = 1.0
k2 = (132 – db)/100 = 1.12
k3 = 0.7
Hence the development length is 580 mm.
Compression:
Hence the development length is 522 mm.
Splicing Length:
Tension:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 17 of 23 Checked: Kathryn McAllister
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98 | P a g e
The lapping length is 725 mm.
Compression:
The lapping length is 960 mm.
Transmission Length of Tendons:
Transmission length = 60db = 60 * 15.2 = 912 mm
Cracking moment:
Mcr = Zb(f’ct.f + ηH / A) + ηH.e
= 4.597 x 108 * [0.6* + 0.85 * 20000 * 103 / (1.134 x 106)] + 0.85 * 20000 * 103 * 845
= 24141.3 kNm > M* = 22464
Hence, the cracking moment is satisfactory.
Deflection:
∆LL =
∆T =
Short term deflection:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 18 of 23 Checked: Kathryn McAllister
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99 | P a g e
Pre-camber required: 215 – 56 = 159 mm
Long term multiplier for shrinkage and creep:
Total deflection = 56 + 92 = 148 mm < ∆T
A pre-cambering of 159 mm in mid span is required for the girder.
Shear Capacity:
Near support:
Web-shear cracking:
Vuc = Vt + Pv
Pv = 0 (no tendon curvature)
Vt = shear force, which in combination with the prestressing force and other action effects at the
section, would produce a principal tensile stress of f’ct at either the centroidal axis or the
intersection of flange and web, whichever is more critical.
Formulae to use:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 19 of 23 Checked: Kathryn McAllister
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100 | P a g e
At centroidal axis:
First moment of area below centroid axis = 871* 240 * 435.5 + 700 * 320 * 1077 = 332.2 * 106 mm3
σ = - H / A = -12000 * 103 / 1113400 = -10.8 MPa
τ = 332.2 * 106 * Vt / (5.686 * 1011 * 240) = 2.43 * 10-6VtMPa
At intersection of web and flange:
First moment of area to intersection = 2100 * 75 * 525.5 = 82.76 * 106 mm3
τ = 82.76 * 106 * Vt / (5.686 * 1011 * 240) = 6.06 * 10-7VtMPa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 20 of 23 Checked: Kathryn McAllister
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Hence, it is more critical at centroidal axis.
Vuc = Vt = 2802 kN
φVuc = 0.7 * 2802 = 1961.4 kN < V* = 2094 kN
> V* = 2094 kN
Provide Asv.min,
Asv.min = 0.06
= 0.06 *
= 86.4 50.4 mm2
Choose N16 ligatures, which has 2* 201 mm2
Therefore, N16 @ 300 spacing ligatures is and is more than adequate.
End Zone Design:
fpi = 0.7 * fpu = 0.7 * 1830 = 1281 MPa
Apt at end zone = 0.6 * 13328 = 7996.8 mm2
Total Pt at end zone = Apt * fpi = 7996.8 * 1281 = 10243.9 kN
Pt strands centroid from the soffit:
ypt = (2 * 143 * 1725 + 6 * 143 * 126.9 + 5 * 143 * 176.9) / (13 * 143) = 392 mm
e = yb – ypt = 1237 – 392 = 845 mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 21 of 23 Checked: Kathryn McAllister
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102 | P a g e
Stress in concrete at different levels:
Top:
Bottom:
Web-flange:
Centroid:
c = stress * area
c1 = * 75 * 2100 = 99.2 kN, y1 = 563 – 75/2 = 525.5 mm
c2 = ( – ) / 2 * 75 * 2100 = 89.7 kN, y2 = 563 – 2/3 * 75 = 513 mm
c3 = * 240 * (563 – 75) = 207.3 kN, y3 = 563 – 75 = 488 mm
c4 = (9.20 – ) / 2 * 240 * (563 – 75) = 435.1 kN, y4 = 1286 / 3 = 428.67 mm
M = Σ ciyi = c1 * y1 + c2 * y2 + c3 * y3 + c4 * y4 = 385.8 kNm
Ast = 2M / (fsy * h) = 2 * 385.8 * 106 / (500 * 1800) = 857 mm2
Therefore, 6 legged of N16 = 1206 mm2 should be used within the transmission length in addition to
the shear stirrups.
Prestress Losses:
Area of prestress, Apt = 13288 mm2
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 22 of 23 Checked: Kathryn McAllister
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103 | P a g e
Prestress force at transfer Pi = 20000 kN
Elastic modulus of concrete Ec = 42200 MPa
Elastic modulus of prestress, Ep= 200000 MPa
Stress = Pi / Apt = 1505 MPa
Eccentricity, e = 845 mm
Radius of gyration, r = 715.6 mm2
Stress after elastic shortening loss,
Loss ratio = 1305 / 1505 = 0.87
Close to value assumed initially.
Detailing:
For the drawings relating to the 44.34m girder consult drawings 11 (cross section of girder 44.34m
span), 13 (end block design 44.34m span).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 44.34m
Job Number: RB 1007(i) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Wang Yuanchang
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104
6.8 Girder Design for 37.5m and other shorter spans
Girder Design (37.5m):
The pre-tensioned girder is designed with consideration from the in-service stage and the
construction stage. Therefore, the following critical moments near the mid-span provided from
software analysis are from the two different stages.
In-service:
Minimum Moment, M1 = 9163 kNm
Maximum Moment, M2 = 17096 kNm
Construction:
Minimum Moment, M1 = 4084 kNm
Maximum Moment, M2 = 6210 kNm
In the in-service stage, the girder and the deck are joined together, hence, it can be considered to
have composite properties.
Table 13: Properties of Super Tee Girder for 37.5 m span
D (mm) Area (mm2) Ix (mm4) Yb (mm) Zt (mm3) Zb (mm3)
1800 1.134 x 106 5.686 x 1011 1237 1.010 x 109 4.597 x 108
Figure 19: Cross section for girder 37.5m and shorter
Using critical stress state (CSS) analysis, the following equations are used to determine the required
prestress force and the location for the tendons. Since the bridge is a simply supported span, the
minimum and maximum moments, M1 and M2 are also positive. This will require Case A of
prestressing.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
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105
Where H is the prestress force, is the effective prestress coefficient (assumed 0.85 initially).
f’c = 65 MPa
f’cp = 50 MPa
c = α1 * f’cp = 0.6 * 50 = 30 MPa
ct = α2 * = 0.3* = 2.12 MPa
Rearranging equations A1 with A3 and A2 with A4, the section modulus becomes:
Check that the girder’s section moduli are adequate.
Zt = 1.010 x 109mm3 > Ix / yt = 5.686 x 1011/ 563 = 2.93 * 108 mm3
Zb = 4.597 x 108mm3 > Ix / yb = 5.686 x 1011/ 1237 = 3.37 * 108 mm3
Hence, the girder’s section moduli are adequate.
Prestress Force:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
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106
Solve for H using equation (A-1) * η * Zt + equation (A-4) * Zb
Which yields
Eccentricity from Centroid:
From H, determine the eccentricity at midspan.
Therefore, the H is 5803.62 kN with eccentricity of 1660.78 mm.
Magnel’s Plot:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
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107
A more accurate method is to plot out a Magnel’s plot with the 4 equations and find out a suitable
eccentricity and prestress force.
Table 14: Values for Magnel's Plot for Midspan of 37.5 m
H (kN) H (N) 1/H e1 e2 e3 e4
10000 10000000 0.0000001 2037.626 1882.437 -646.140 1483.734
20000 20000000 0.00000005 1472.354 734.797 130.472 535.445
From the plot, the eccentricity lies between A2 and A4. A suitable prestress force would be 15000 kN
with an eccentricity of 852mm.
To further check the criteria, calculations can be done by satisfying the equations below with the
chosen e and H value.
-1000.000
-500.000
0.000
500.000
1000.000
1500.000
2000.000
2500.000
0 2E-08 4E-08 6E-08 8E-08 0.0000001 1.2E-07
ecc
en
tric
ity
(mm
)
1/H
Magnel's Plot Midspan Section
A1
A2
A3
A4
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 4 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
108
The variables are unchanged from the previous calculation steps, except H = 15000 kN and e = 852
mm.
M1 =9163 kNm, M2 = 17096 kNm
c = α1 * f’cp = 0.6 * 50 = 30 MPa
ct = α2 * = 0.3* = 2.12MPa
Zt = 1.010 x 109 mm3
Zb = 4.597 x 108 mm3
The four equations are satisfied, therefore the design is valid.
Limiting Zone at Mid-span:
Recalculating the limiting zone at midspan using 20000 kN of H force.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 5 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
109
The governing eccentricities are 1117.3 mm and 851.5 mm. Again, the chosen value of 852 mm lies
within the range.
Limiting Zone at Supports:
Next is to find out the eccentricity at the support points using the same H force of 15000 kN. The
moments at the support are zero. Similar steps are used to find the eccentricity at the support
section.
The governing eccentricities are +506.48 mm and -489.32 mm.
Tendons Limiting Zone Profile:
Figure 20: Tendon Limits for girder 37.5m and shorter
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 6 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
110
From the profile, it can be clearly seen that the eccentricity at the mid-span does not lie in the
eccentricity range at the supports. However, in practice, the tendons run in a horizontal line
meaning that it must only have a single eccentricity throughout the whole length. This problem can
be rectified by unbonding part of the tendons near the support to increase the eccentricity range.
Unbonded Tendons:
The purposes of unbonding tendons near the ends is to increase the eccentricity range and also to
reduce the prestress force near the ends, as this might cause too large a negative moment since the
positive moment is a lot less near the ends than in the mid-span in a simply supported girder. The
approach is to find the length from the support to the section where the positive and negative
moments are at balance when full bonding tendons start.
40% of the tendons are unbonded at start.
H = 0.6 * 15000 = 9000 kN
Find out the new eccentricity limits at supports using the four equations, since the prestressed force
is reduced.
The new governing eccentricities are +1119.36 mm and -540 mm.
This new range of eccentricities is acceptable for the chosen 852 mm.
Determine length of unbonding:
From software analysis, at 6.5 m, the moments M1 = 5248 kNm and M2 = 8794 kNm.
Criteria Check with A-1, A-2, A-3 and A-4 yields,
(Note that the H value is still 15000 kNm since the end of unbonding is the start of full bonding.)
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 7 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
111
Therefore, 40% of the tendons will be unbonded 6.5 m from support at both ends, so that a single
eccentricity will run throughout the girder.
Figure 21: Unbonded tendon limits
Girder in Construction Stage:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 8 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
112
In this stage, only the self-weight of girder and fresh concrete during formwork of deck is
considered. The deck is not yet joined together with the girder, hence only consider the section
properties of girder.
Table 15: Properties of Girder for 37.5 m(In service)
D (mm) Area (mm2) Ix (mm4) Yb (mm) Zt (mm3) Zb (mm3)
1800 7.587 x 105 3.205 x 1011 909 3.596 x 108 3.527 x 108
Figure 22: Girder 37.5m cross section (2)
Minimum Moment, M1 = 4084 kNm
Maximum Moment, M2 = 6210 kNm
The steps are similar to previous calculations. Using CSS approach, Case A of prestressing, determine
if the girder in construction stage is adequate and has the same eccentricity and prestress value as in
in-service stage.
Where H is the prestress force, is the effective prestress coefficient (assumed 0.85 initially).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 9 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
113
f’c = 65 MPa f’cp = 50 MPa
c = α1 * f’cp = 0.6 * 50 = 30 MPa
ct = α2 * = 0.3* = 2.12 MPa
Rearranging equations A1 with A3 and A2 with A4, the section modulus becomes:
Do an initial check that the girder’s section moduli are adequate.
Zt = 3.596 x 108 mm3 > Ix / yt = 3.205 x 1011/ 891 = 8.59 * 107 mm3
Zb = 3.527 x 108 mm3 > Ix / yb = 3.205 x 1011/ 909 = 9.92 * 107 mm3
Hence, the girder’s section moduli are adequate.
Prestress Force:
Next would be attempting to solve for H using equation (A-1) * η * Zt + equation (A-4) * Zb
Which yields
Eccentricity from Centroid:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 10 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
114
From H, determine the eccentricity at midspan.
Therefore, the H is 1681.8 kN with eccentricity of 3356 mm. The prestress force required is lower and the eccentricity is higher than those in in-service stage. This is expected, since the loads are lighter. Since the eccentricity in in-service stage is already found, the same location of eccentricity should be used for construction stage as well.
e = 909 – (1237 – 852) = 524 mm
Magnel’s plot:
Table 16: Values for Magnel's Plot of 37.5 m
H (kN) H (N) 1/H e1 e2 e3 e4
10000 10000000 0.0000001 958.817 1001.433 -64.859 177.872
25000 25000000 0.00000004 667.993 121.739 258.523 -207.685
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 11 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
-500.000
0.000
500.000
1000.000
1500.000
0 2E-08 4E-08 6E-08 8E-08 0.0000001 1.2E-07
ecc
en
tric
ity
(mm
)
1/H
Magnel's Plot Midspan Section
A1
A2
A3
A4
Figure 23: Magnel's Plot for Mid span(37.5m)
Rail Grade Separation From South Road Detailed Design
115
From the plot, the acceptable region lies between A2 and A3. The chosen prestress force of 15000
kN and eccentricity of 524 mm lies within that region.
To further check the criteria, calculations can be done by satisfying the equations below with the
chosen e and H value.
The variables are unchanged from the previous calculation steps, except H = 15000 kN and e = 524
mm.
M1 =4084 kNm, M2 = 6210 kNm
c = α1 * f’cp = 0.6 * 50 = 30 MPa
ct = α2 * = 0.3* = 2.12 MPa
Zt = 3.596 x 108 mm3
Zb = 3.527 x 108 mm3
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 12 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
116
The four equations are satisfied, therefore the design is valid.
Limiting Zone at Mid-span:
Recalculating the limiting zone at midspan using 15000 kN of H force.
The governing eccentricities are 512.71 mm and 114.79 mm. The chosen value of 524 mm is 12 mm
out of the range, this is expected as it was slightly over the estimate in eqn (A-2). However, the
design is still valid and acceptable.
Limiting Zone at Supports:
Since it has been found that 40% of tendons will be unbonded near the supports, next is to find out
the eccentricity at the support points using H force of 9000 kN. The moments at the support are
zero. Similar steps are used to find the eccentricity at the support.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 13 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
117
The governing eccentricities are +559.74 mm and -563.46 mm. The chosen value of 524 mm lies
within the range. Therefore, the location of eccentricity is the same for both stages and the
unbonded section is also satisfactory for the construction stage.
No. of Tendons:
7-wire ordinary strands of 15.2 mm in nominal diameter are to be used.
Table 17: Properties of Strand for 37.5 m span.
Type Nominal diameter
(mm)
Nominal cross-sectional
area (mm2)
Nominal tensile
strength (MPa)
7-wire ordinary 15.2 143.0 1830
fpu = 1830 MPa
fpy = 0.82 * fpu = 1500.6 MPa
Area of prestress required, Apt = H/ fpy = 15000 * 103 / 1500.6 = 9996 mm2
No. of strands = 9996 / 143 = 70
Assuming there are seven 7-wire ordinary strands in one anchorage,
No. of tendons = 70/7 = 10
Reinforcement and Moment Capacity:
Moment capacity is checked for in-service stage, since it is the most critical.
cover = 30 mm regardless of exposure classification as per SCI standards.
dia. sc = 20 mm
Assume 36N20 = 11309 mm2
dia. st = 20 mm
Assume 4N20 = 1240 mm2
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 14 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
118
Ligatures = N16
Apt = 9996 mm2
D = 1800 mm
bef = 2100 mm
yt = 563 mm
yb = 1237 mm
dsc = 30 + 16 + 20 / 2 = 56 mm
dst = 1800 – 30 – 16 – (20 / 2) = 1744 mm
e = 845 mm
do = 1744 mm
dp = 845 + 563 = 1415 mm
f’c = 65 MPa
f’cp = 50 MPa
fpu = 1830 MPa
fpy = 0.82 * fpu = 1500.6 MPa
fsy = 500 MPa
α2 = 1 – 0.003 * f’c = 0.805
γ = 1.05 – 0.007 * f’c = 0.595 take as 0.67 (0.67 <γ < 0.85)
Ultimate moment equation:
Mu = σpuAptdp + fsyAstdst – fsyAscdsc – α2f’cA’cd’c
σpu = fpu (1 – k1k2 / γ)
where k1 = 0.4 since fpy / fp< 0.9 1500.6 / 1830 = 0.82
k2 = [fpuApt + fsy(Ast - Asc)] / (befdpf’c)
= [1830 * 9996 + 500 * (1240 – 11309)] / (2100 * 1415 * 65)
= 0.068 however, needs to be ≥ 0.17
σpu = 1830 * (1 – 0.4 * 0.17 / 0.67) = 1644.3 MPa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 15 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
119
A’c = [σpuApt+fsy(Ast – Asc)] / (α2f’c)
= [1644.3 * 9996 + 500 * (1240 – 11309)] / (0.805 * 65)
= 217899.9 mm2
Figure 24: Calculation of A'c for girder 37.5m and shorter
Considering top part in compression, A’c can be equated to the area of compression.
A’c = 75 * 2100 + 2 * (γkud – 75) * 120 γkud = (217899.9 – 75 * 2100 + 18000) / 240 = 326.7 mm
Mean effective depth, d = (fpyAptdp + fsyAstdst) / (fpyApt + fsyAst) d = (1500.6 * 9996 * 1415 + 500 * 1240 * 1744) / ( 1500.6 * 9996 + 500 * 1240) = 1428.1 mm
ku = γkud / (γ*d) = 326.7 / (0.67 * 1428.1) = 0.34 < 0.36
Therefore, the girder is ductile.
Distance from surface to centroid of compression zone, d’c d’c = {(2100 * 75 * 37.5) + 2 * (γkud - 75) * 120 *[(γkud - 75) / 2 + 75)]} / A’c = 82.77 mm
Mu = 1644.3 * 9996 * 1415 + 500 * 1240 * 1744 – 500 * 11309 * 56 – 0.805 * 65 * 217899.9 * 82.77
= 23319 kNm
φ Mu = 0.8 * 23319 = 18655.2 kNm > M* = 17096 kNm
Hence, the moment capacity is satisfactory. Also, the reinforcement in place is acceptable, 36N20 in
top flange and 4N20 in bottom flange.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 16 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
120
Development Length:
Tension:
k1 = 1.0
k2 = (132 – db)/100 = 1.12
k3 = 0.7
Hence the development length is 580 mm.
Compression:
Hence the development length is 435 mm.
Splicing Length:
Tension:
The lapping length is 725 mm.
Compression:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 17 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
121
The lapping length is 800 mm.
Transmission Length of Tendons:
Transmission length = 60db = 60 * 15.2 = 912 mm
Cracking moment:
Mcr = Zb(f’ct.f + ηH / A) + ηH.e
= 4.597 x 108 * [0.6* + 0.85 * 15000 * 103 / (1.134 x 106)] + 0.85 * 15000 * 103 * 852
= 18350.3 kNm > M* = 17096
Hence, the cracking moment is satisfactory.
Deflection:
∆LL =
∆T =
Short term deflection:
Pre-camber required: 182 – 47 = 135 mm
Long term multiplier for shrinkage and creep:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 18 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
122
Total deflection = 47 + 105 = 152 mm ≈ ∆T Hence, acceptable.
A pre-cambering of 259 mm in mid span is required for the girder.
Shear Capacity:
Near support:
Web-shear cracking:
Vuc = Vt + Pv
Pv = 0 (no tendon curvature)
Vt = shear force, which in combination with the prestressing force and other action effects at the
section, would produce a principal tensile stress of f’ct at either the centroidal axis or the
intersection of flange and web, whichever is more critical.
Formulae to use:
At centroidal axis:
First moment of area below centroid axis = 871* 240 * 435.5 + 700 * 320 * 1077 = 332.2 * 106 mm3
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 19 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
123
σ = - H / A = -9000 * 103 / 1113400 = -8.08 MPa
τ = 332.2 * 106 * Vt / (5.686 * 1011 * 240) = 2.43 * 10-6VtMPa
At intersection of web and flange:
First moment of area to intersection = 2100 * 75 * 525.5 = 82.76 * 106 mm3
τ = 82.76 * 106 * Vt / (5.686 * 1011 * 240) = 6.06 * 10-7VtMPa
Hence, it is more critical at centroidal axis.
Vuc = Vt = 2195 kN
φVuc = 0.7 * 2195 = 1536.5 kN < V* = 1869 kN
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 20 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
124
< V* = 1869 kN
s = 402 * 500 * 1744 / (475 * 103) = 738 mm
Choose N16 ligatures at spacing of 300 mm.
End Zone Design:
fpi = 0.7 * fpu = 0.7 * 1830 = 1281 MPa
Apt at end zone = 0.6 * 9996 = 5997.6 mm2
Total Pt at end zone = Apt * fpi = 5997.6 * 1281 = 7683 kN
Pt strands centroid from the soffit:
ypt = (2 * 143 * 1305 + 4 * 143 * 130 + 4 * 143 * 180) / (10 * 143) = 385 mm
e = yb – ypt = 1237 – 385 = 852 mm
Stress in concrete at different levels:
Top:
Bottom:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 21 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
125
Web-flange:
Centroid:
c = stress * area
c1 = * 75 * 2100 = 88.2 kN, y1 = 563 – 75/2 = 525.5 mm
c2 = ( – ) / 2 * 75 * 2100 = 90.5 kN, y2 = 563 – 2/3 * 75 = 513 mm
c3 = * 240 * (563 – 75) = 200.2 kN, y3 = 563 – 75 = 488 mm
c4 = (9.20 – ) / 2 * 240 * (563 – 75) = 438.6 kN, y4 = 1286 / 3 = 428.67 mm
M = Σ ciyi = c1 * y1 + c2 * y2 + c3 * y3 + c4 * y4 = 378.5 kNm
Ast = 2M / (fsy * h) = 2 * 378.5 * 106 / (500 * 1800) = 841 mm2
Therefore, 6 legged of N16 = 1206 mm2 should be used within the transmission length in addition to
the shear stirrups.
Prestress Losses:
Area of prestress, Apt = 9996 mm2
Prestress force at transfer Pi = 15000 kN
Elastic modulus of concrete Ec = 37400 MPa
Elastic modulus of prestress, Ep= 200000 MPa
Stress = Pi / Apt = 1501 MPa
Eccentricity, e = 852 mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 22 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
126
Radius of gyration, r = 715.6 mm2
Stress after elastic shortening loss,
Loss ratio = 1330 / 1501 = 0.88
Close to value assumed initially.
Detailing:
For the drawings relating to the 37.5m girder consult drawings 10 (cross section of girder 37.5m
span), 12 (end block design 37.5m span).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Girder Design for 37.5m and other shorter spans
Job Number: RB 1007(ii) Contract: Rail Bridge Design
Date: 3/6/2013 Prepared: Wang Yuanchang
Sheet: Sheet 23 of 23 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
127
6.9 Headstocks
The critical types (type3 for station and type2 for rest) were checked in this part.
From AS 3600 table 4.3, the exposure classification of one-way slab shall be B1 (surfaces of members
in interior environments non-residential).
From AS 3600 table 4.10.3.2, It is assumed that the characteristic strength ( ) is 40 MPa in this case
while the required cover for B1 is 30mm.
Headstocks for bridge (no station cases)
Loading condition
From the force analysis of the girders, the critical support supplied by headstocks is 22000KN in the
span above South Road. So the total load from superstructure is:
KN/m
Headstock self-weight:
KN/m
Take 1.2G: KN/m
Total UDL: KN/m
Column spacing is designed as 12m centre to centre. So critical span of headstocks is:
With software, maximum bending moments are showed in the following figure:
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and PengGao
Sheet: Sheet 1 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
128
Figure 25: Output graph from Prokon
For bottom kNm
For top kNm
Maximum shear force on headstock:
kN
Tension and compression reinforcement design
Tension (bottom)
Assume use N40 for bending reinforcement and N20 for shear reinforcement
d=D-ligs-cover-half-bar-diameter=1500-20-30-40/2=1430 mm
Where:
.
for headstock.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 2 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
129
Check reinforcement handbook, use 25N40 which is 31500 .
Assume that reinforcement bars are ranged in 2 lines (12+13).
Check if there is enough spacing:
Check for ductility:
Where
OK
Bottom: 15N14 satisfied
Compression (top)
d=D-ligs-cover-half-bar-diameter=1434 mm
Where:
.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 3 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
130
for headstock.
Check reinforcement handbook, use 13N36 which is 13260 .
Check N.A:
1st trial: kud=68mm
N.A must be lower.
2nd trial: kud=200mm
N.A must be lower.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 4 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
131
3rd trial: kud=220 mm
Top: 13N36 satisfied
Shear reinforcement design
kN
Check
Vuc = β1β2β3bd(Astf’c/bd) 1/3
Where:
Thus, reinforcement required.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 5 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
132
Try minimum shear reinforcement
Use N20 bars (
Max spacing: 500mm
N20@450 CTS has
Adopt N36 ligs @400 cts which A is 2550.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 6 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
133
Headstocks for bridge (station cases)
Loading condition
From the force analysis of the girders, the critical support supplied by headstocks is 22000KN in the
span above South Road. So the total load from superstructure is:
KN/m
Headstock self-weight:
KN/m
Take 1.2G: KN/m
Total UDL: KN/m
Column spacing is designed as 12m centre to centre. So critical span of headstocks is:
With software, maximum bending moments are showed in the following figure:
Figure 26: Output graph from Prokon 2
For bottom kNm
For top kNm
Maximum shear force on headstock:
kN
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Headstock
Job Number: RB 1008(i) Contract: Rail Bridge Design
Date: 7/06/2013 Prepared: Yuyang Qian and Peng Gao
Sheet: Sheet 7 of 11 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
134
Tension and compression reinforcement design
Tension (bottom)
Assume use N40 for bending reinforcement and N20 for shear reinforcement
d=D-ligs-cover-half-bar-diameter=1500-20-30-40/2=1430 mm
Where:
.
for headstock.
Check reinforcement handbook, use 18N40 which is 22680 .
Check if there is enough spacing:
Check for ductility:
Where
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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OK
Bottom: 18N40 satisfied
Compression (top)
d=D-ligs-cover-half-bar-diameter=1434 mm
Where:
.
for headstock.
Check reinforcement handbook, use 25N40 which is 31500 .
Check N.A:
1st trial: kud=70mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Job Number: RB 1008(i) Contract: Rail Bridge Design
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N.A must be lower.
2nd trial: kud=200mm
N.A must be higher.
3rd trial: kud=100 mm
Top: 13N36 satisfied
Shear reinforcement design
kN
Check
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Vuc = β1β2β3bd(Astf’c/bd) 1
where:
Thus, reinforcement required.
Try minimum shear reinforcement
Use N20 bars (
Max spacing: 500mm
N20@450 CTS has
For detailed drawings of the head stock consult drawings 8 (cross section of bridge with headstock)
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Adopt N28 ligs @200 cts which A is 2756.
Pier calculation:
Pier dimension and assumptions
There are total 56 piers needed to be constructed for this bridge. Their dimensions are listed in
table2.
Table 18: Pier Types
Cross section m2 Height m Amount
Type 1 1.5*1.5 4.5 36
Type 2 1.5*1.5 3.8 4
Type 3 1.5*1.5 3.1 4
Type 4 1.5*1.5 2.4 4
Type 5 1.5*1.5 1.7 4
Type 6 1.5*1.5 1.0 4
From AS 3600 table 4.3, the exposure classification of one-way slab shall be B1 (surfaces of members
in interior environments non-residential).
From AS 3600 table 4.10.3.2, It is assumed that the characteristic strength ( ) is 40 MPa in this case
while the required cover for A2 is 60mm.
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Designed cross section is 1.5m*1.5m and the longest column is checked here (Type1 4.5m), so:
According to AS 3600 10.7.1 the minimum reinforcement should not be less than 0.01Ag, so try
25N36 which Ast is 25500
According to AS5100.5 Table 10.7.3 N12ligs should be used here. The spacing of the ligs is the
smaller one of Dc (1500) or 15db (540). So adopt N12@540 ligatures.
From AS5100.5-2004 Figure 10.5.3(A) under braced column due to types of buckled shape:
Effective length factor k = 0.7
Radius of gyration:
Loading condition
Axial force from superstructure per pier:
Design bending moment:
Side wind load: 5.5 kN/m
Earthquake load: 15.5 kN/m critical.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Check minimum steel is adequate or not
1. Nuo
Where take 0.85.
2. Nu and Mu when k=1
Neutral axis is at tensile steel T=0
dc= cover+ligs+db/2 = 60+12+18 = 90 mm
d=600-42=558 mm
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Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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3. Nub and Mub when kub=0.545 for 500Mpa reinforcement
0.545d=768 mm
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Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pier
Job Number: RB 1008(ii) Contract: Rail Bridge Design
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4. Muo (Nuo=0)
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Kud=90 mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Job Number: RB 1008(ii) Contract: Rail Bridge Design
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Neutral axis must be lower.
Try kud=175mm
The final result is showed in the following table:
Table 19: Result for Column Chart
N M
89250 0
60023.64 14162.84
30988.39 18913.91
0 7043.802
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Job Number: RB 1008(ii) Contract: Rail Bridge Design
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With:
Column figure can be given:
As showed in the diagram, the minimum steel25N36 with N12@540 is adequate.
With column chart below, it can be seen that the column is adequate.
0.8N/bD=6 0.8M/bD*D=0.5
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Job Number: RB 1008(ii) Contract: Rail Bridge Design
Date: 7/6/2013 Prepared: Yuyang Qian and Peng Gao
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Figure 27: Column Curve
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Figure 28: Column Chart
For detailed drawings of the pier consult drawings 6 (cross section of pier).
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Job Number: RB 1008(ii) Contract: Rail Bridge Design
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6.10 Abutments
Table 20: Value for the Unknowns.
Notations
Superimposed live load 30 kPa
Internal friction angle 35o
Soil unit weight 19.625 kN/m3
Concrete density 25 kN/m3
Active earth pressure coefficient 0.271
Concrete compressive strength 50 MPa
Friction coefficient 0.55
Yield strength of reinforcing steel 500 MPa
Table 21: Dimension for the abutment
Dimensions
Width (m) Height (m)
Wall 1 1.20 4.40
Wall 2 1.70 2.30
Wall 3 3.90 1.00
Toe 0.50 1.00
Heel 0.50 1.00
Back surcharge 0.50 4.40
Backfill 0.50 4.40
Front surcharge 0.50 1.00
Height of the abutment 5.40
Width of the abutment 3.90
Length of the abutment 15.933
The formula shown below was taken AS 3600-2009 (Section 11 Design of walls). The materials for
the abutment are concrete with reinforced steel bars as shown in figure below. The horizontal load
acting on the abutment was negligible in this case. The type of soil used is sand and gravel. Along the
bearing seat (15.933 m), there will be eight bearing concrete pedestals (0.5m width x 0.25 thick x
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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0.5m length). The type of bearing used for the abutment is an elastomeric bearing (0.45m width x
0.05m thick x 0.45m length) which in between the girder and bearing pedestal. The base of the
abutment was designed as a pile cap for the piling. There are total of 16 piles designed for the
abutment.
Figure 29: Abutment Design Dimension
1. Horizontal Forces and Lever Arm with Respect to Point O
Lateral earth pressure due to superimposed load
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Lateral superimposed load
Lever arm with respect to point O (Vertical distance)
Lateral Earth Pressure due to backfill
Lateral backfill load
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Lever arm with respect to point O (Vertical distance)
Total horizontal forces acting on the abutment
Distance of the total horizontal forces acting on the abutment from point O (Vertical distance)
2. Vertical Forces and Lever Arm with Respect to Point O
Force acting on Wall 1
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Lever arm with respect to point O
Force acting on Wall 2
Lever arm with respect to point O
Force acting on Wall 3
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Lever arm with respect to point O
Back surcharge force
Lever arm with respect to point O
Backfill force
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Lever arm with respect to point O
Front surcharge force
Lever arm with respect to point O
Total vertical forces acting on the abutment
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Distance of the total vertical forces acting on the abutment from point O (Horizontal distance)
3. Design Loads and Lever Arm with Respect to Point O
Design Load acting on wall 1
Lever arm with respect to point O
Design load acting on wall 2
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Lever arm with respect to point O
Total design loads acting on the abutment
Distance of the total design loads acting on the abutment from point O
4. Checking for Overturning, Sliding, and Pressure at Toe Section Under Wall 3
Check for overturning
Factored overturning moment
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Factored restoring moment
Check for sliding
Factored thrust
Factored resistance
Check pressure at the toe section under wall 3
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Distance of the resultant force acting under the wall 3 from point O
Eccentricity
Maximum bearing capacity
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5. Design Reinforcement for Section 1
Figure 30: Reinforcement for section 1
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Reinforcement ratio
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Shear strength
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Design reinforcement
6. Design Reinforcement for Section 2
Figure 31: Reinforcement for section 2
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Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Abutment
Job Number: RB 1009 Contract: Rail Bridge Design
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Reinforcement ratio
Shear strength
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Design reinforcement
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7. Design Reinforcement for Section 3
Figure 32: Reinforcement Design for section 3
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Reinforcement ratio
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Shear strength
Design reinforcement
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Figure 33: Layout of reinforcement bar in abutment design
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8. Piling for Abutment
The design for the abutment piles is based on the piling calculation and design under the pile
section. The diameter of the pile was 0.9 metre and the length of each pile is 25 metre. There are
total of 16 piles attached to the base (pile cap) of wall 3. Besides that, there are 8N32 (6400mm2) for
each pile and N12@300cts (helical) for the ligature. The layout and arrangement of the abutment
piles is shown in figure below.
Figure 34: Design of Piling for Abutment
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Figure 35: Elastomeric Bearing and Bearing Pedestal
9. Elastomeric Bearing and Bearing Pedestal
Figure above shows that the height of the elastomeric bearing is 0.05m. The width and length of the
elastomeric bearing is 0.45m and 0.45m respectively. On the other hand, the height of the concrete
bearing pedestal is 0.25m with the width 0.50m and length 0.50m. The compressive strength of the
concrete bearing pedestal is 32MPa. There are total of 8 elastomeric bearings and concrete bearing
pedestals.
For detailed drawings of the abutments consult drawings 23 (3D view of Abutment), 24 (Abutment
design), 25 (Abutment detail).
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6.11 Pile Design at Station
Vertical capacity of pile (station)
(Recommended where proof loads apply working piles)
Try the diameter of single pile is 900mm, and pile depth is 20 metres in the design
Skin friction of pile, where is coefficient of skin friction, and is cohesion of soil
Table 22: Calculation of side friction load, Qs
Depth (m) (m) cu (kPa) fs (kPa) As (m2) Qs (kN)
0 to 2 2 200 0.50 100.0 5.65 565
2 to 6 4 200 0.50 100.0 11.31 1131
6 to 8 2 200 0.5 100.0 5.65 565
8 to 13 5 120 0.55 66.0 14.14 933
13 to 15 2 90 0.55 49.5 5.65 280
15 to 20 5 80 0.55 44.0 14.14 622
Example of calculation: Depth from 0 to 2 m
(From geotechnical team)
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Therefore, ultimate shaft load capacity,
Ultimate bearing load, , where is pile end area and is unit end bearing
Thus,
So ultimate capacity of the shaft pile:
Allowable capacity of the shaft pile:
The axial load act on pile from above is about 5500 kN (which assume pile cap weight is 500 KN),
which is much larger than pile capacity.
Therefore, the number of piles needed for the footing:
Horizontal capacity of pile (station)
The total depth of pile is 20m. Therefore, this kind of pile will be designed as long pile. The diameter
of pile is 900 mm. The table below illustrates pile properties in this design.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Table 23: Pile Properties
e is the distance between the top face of pile and the ground surface. Assumed to be 200 mm.
Pile depth,L 20 mPile diameter, D 900 mm
pile properties
yield moment (equals tomaximum moment)
Elastic modulus ofconcrete, E
250
20
kNm
Gpa
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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The design load , which is satisfactory. And from bridge design partner, the earthquake
force is 500.65 kN
The number of pile required by horizontal loading is
, which will be rounded up to 4
piles. This would confirm vertical capacity of pile design as well.
Pile reinforcement design (station)
Figure 36: Properties of pile
Pile properties
type Bored - cast in place
design life 100 years
diameter 900 mm
exposure classification A , mild
min f'c 32 MPa
min cover 40 mm
minimum embedment to pile cap 50 mm
Max spacing for helical reinforcement 150 mm
Min clear spacingfor longitudinal bars 75 mm
Gross area (Ag) 636172.5124 mm2
minimum spacing centre to centre (2.5*diameter) 2250 mm
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Design parameters
According to AS 3600 clause 10.1.2, the minimum design bending moment:
Try to use N12 for ligature and N32 for reinforcement.
The effective length:
According to AS 3600 table 2.2.2, the reduction factor for both axial load and bending moment is
0.6.
Horizontal:
Vertical:
According to the reinforced concrete charts shown below, the value in both charts is in the safe
zone, which means the minimum reinforcement is sufficient for this design.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Figure 37: Reinforced Concrete Column Chart, g = 0.8
Figure 38: Reinforced Concrete Column, g = 0.9
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These two intersection points in both charts (g=0.8 and g=0.9) illustrate piles are in the safety zones,
which proves the designed minimum reinforcements are sufficient
Minimum reinforcements for longitudinal reinforcement
Gross Area
According to AS 5100.5 clause 10.7.1,
Try 8N32, (satisfied)
According to AS 5100.3 clause 11.4.2.3 (a), the spacing will be :
(satisfied)
According to AS 5100.5 table 10.7.3, the minimum diameter of helix reinforcement will 12mm.
Therefore,
Lastly, based on AS 5100.5 clause 10.7.3.3 (b) (iii), the max spacing for helical reinforcement is 300
mm.
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
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Figure 39: Summary of pile group
Settlement of pile group (station)
32 MPa
900 mm
number of reinforcement 8N32 /
spacing 90 mm
type helical reinforcement /
diameter 12 mm
spacing 300 mm
longitudinal reinforcement
restraint for longitudinal
reinforcement
concrete grade
pile diameter
Summary
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pile Design (Station)
Job Number: RB 1010(i) Contract: Rail Bridge
Date: 7/6/2013 Prepared: Xinben Zeng
Sheet: Sheet 8 of 19 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
181
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pile Design (Station)
Job Number: RB 1010(i) Contract: Rail Bridge
Date: 7/6/2013 Prepared: Xinben Zeng
Sheet: Sheet 9 of 19 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
182
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pile Design (Station)
Job Number: RB 1010(i) Contract: Rail Bridge
Date: 7/6/2013 Prepared: Xinben Zeng
Sheet: Sheet 10 of 19 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
183
Settlement affected by eccentricity (station)
Table 24: Coordinates of Each piles
Pile no. x-coordinate (m) y-coordinate (m) x2 y
2
1 1.35 1.35 1.82 1.8225
2 -1.35 1.35 1.82 1.8225
3 -1.35 -1.35 1.82 1.8225
4 1.35 -1.35 1.82 1.8225
7.29 7.29
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pile Design (Station)
Job Number: RB 1010(i) Contract: Rail Bridge
Date: 7/6/2013 Prepared: Xinben Zeng
Sheet: Sheet 11 of 19 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy
Rail Grade Separation From South Road Detailed Design
184
Table 25: Each piles Pm and wt
Pile no. Pm (kN) wt(mm)
1 1413 3.93
2 1337 3.71
3 1337 3.71
4 1413 3.93
Project Title South Road & Outer Harbour Grade Separation – Detailed Design
Subject: Pile Design (Station)
Job Number: RB 1010(i) Contract: Rail Bridge
Date: 7/6/2013 Prepared: Xinben Zeng
Sheet: Sheet 12 of 19 Checked: Kathryn McAllister
Client: DPTI Approved: Kumaran Kanapathy