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A Study on Development of Live Load Model for Pass
enger Vehicles-only Bridges




                              Korean Expressway Corporation
                                              Choi Hyeok-jin
                                     (Structure Engineer, PE)
A Study on Development
 of Live Load Model for
                          1. Background
  Passenger Car-only
       Bridges            2. Road Specifications
                          3. Governing Factors

CONTENT                   4. Specification Development

   S
1. Background


1.1 Benefits of Designated Highways

1.2 Benefits of Passenger vehicles-Only Roads
1. Background
   Designated Road

                                       Safety

                                       Economical

                                       Efficiency


                                                  Public dissatisfaction

                                                  Complex design issues




Korean Expressway Corporation / Design Evaluation Division
1. Background
   Car Only Highways


                                   Less Road Accidents
                                   Faster Travel Times
                                   More comfortable for long distances



                       Road Barriers
                       Straight roads for higher speeds
                       Overpass construction




Korean Expressway Corporation / Design Evaluation Division
1. Background

   Passenger Car/ Truck Comparison


             Passenger Car                                   Heavy Trucks




Korean Expressway Corporation / Design Evaluation Division
1. Background

   Benefits of Passenger Vehicle Only Roads


            Passenger Vehicle


                     Small Size
                                                        Smaller Lanes
                                                        Lower Height Clearances
                        Agility                         Lighter Loads
                                                        Uniformity of Speed

                       Speed




Korean Expressway Corporation / Design Evaluation Division
1. Background

   Korean Vehicles By Weight
                                    1 Ton or Less
   4500000                             88.5%
   4000000

   3500000

   3000000

   2500000
                           Passenger
   2000000
                              Cars
   1500000                   76.1%
   1000000

    500000

         0




Korean Expressway Corporation / Design Evaluation Division
1. Background

   Traffic Statistics

                Vehicle Ratios                                               Cost of Traffic Jams
                                                                                  교통혼잡 비용 (조원)
                                                             30

                                                             25
                                                                                  10%
      Passenger Vehicles                                     20


            (73%)                                            15

                                                             10

                                                              5
           Passenger Vehicles                                 0

                 (90%)Heavy Trucks                                1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007



                                    Heavy Trucks
                 Urban Areas                          Cost of Traffic Jams to the Korean
                                                      Economy = US$ 19,000,000,000
        All Roads




Korean Expressway Corporation / Design Evaluation Division
1. Background

   Problems of New Road Construction

         Acquiring Land (Currently in Use)

         Land Prices (Appropriation)

         Environmental Impact

         Public Inconvenience



              Smaller roads avoid many of these problems


Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications


                     2.2 Examples of Passenger
                             Car Only Roads

                     2.3 Road Specifications


Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   International Examples(1)
                          France                      Malaysia                 China
                    (Under construction)         (Under construction)      (public service)




                  • Paris Ring Road            • Smart Tunnel           • Fuxing Donglu
    Abstract;
                  • A86 Highway                                           Tunnel

                          V=70km/h                    V=60km/h                V=40km/h
  Speed limit
                       2 lanes/2 levels            2 lanes/2 levels        2 lanes/2 levels
                            4 lanes                     4 lanes                4 lanes
     length
                           (10.0km)                     (3.0km)                (2.8km)
   Period of
                         1997~2010                    1995~2007              2002~2004
  construction

Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   International Examples(2)
                          France                     Malaysia                 China
                    (Under construction)        (Under construction)      (public service)
                                                   횡류식 적용
                                                환기
                                                   - 급기 환기소 : 4개소
                                                방식
                                                   - 배기 환기소 : 4개소


      cross
     Section




   Road width               8.7m                        8.85m                  7.0m

   Lane width               2.8m                        3.25m                  3.0m

     vertical
                            2.55m                       2.55m                 2.60m
    Clearance
    Construction
                            TBM                 TBM, NATM, SHIELD            SHIELD
      method


Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   Korean Examples




                                                                                                                                                                   900
                                                       200




                                                                                                            200
                                   8.500                                                                                       8.500


      map  500      2.000              2@3.000=6.000           500 250                            250 500           2@3.000=6.000          2.000       500




                                                       3.000




                                                                                                            3.000




                                                                                                                                                                           5.200
                                                                                                                                                                   3.200
                                                                          1.000




                                                                                         1.000
                 1.000




                                                                                                                                            1.000
                                                                   150                           150




                                                                                                                                                                   1.100
     800                    Seobu 9.250
                                   highway                               950               950                                 9.250                         800
     project                       11.000                                         VAR.                                         11.000
                            (Soengsan Bridge~Anyangchun Bridge)

                                                                                         • 표준 폭원 및 시설한계
     Cross
                                       2 lanes/2 levels                                                                                             shoulder
    section                                                                                      Design         Lane           Vertical
                                                                                                 speed          width         Clearance         left           right
                                                                                            70km/hr             3.0m                3.0m     0.5m              2.0m
     length                                    11.9km


 ※민자사업으로 제안된 사업(사업 시행여부 미확정)


Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   Allowable Car Specifications

               division1            division2                division3                 division4

Passenger
            1,000cc less     1,500cc less              1,500~2,000cc less       2,000cc or over
   Car


  Bus        1,000cc less    under 15 people           under 35 people          36 people or over


                             Load capacity under 1     Load capacity under 5    Load capacity under 1

                              ton                      ton                      ton
  Truck      1,000cc less
                             loaded weight under 3.5   loaded weight under 10   loaded weight 3.5 ton or

                              ton                      ton                      over


 Special                     loaded weight under 3.5   loaded weight under 10   loaded weight under 10
             1,000cc less
 Vehicle                      ton                       ton                      ton or over




Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   Allowable Special Vehicles




          Pump Truck                             Snow Plow
            7.08ton                               10.2ton                   Roller
                                                                            8.8ton


                                                              These vehicles, still under
                                                                12 tons, can be on the road,
                                                                but only when all other cars
         Small Tanker
          10.73ton
                                           Extension Arm        are vacated from the lane.
                                               6.9ton



Korean Expressway Corporation / Design Evaluation Division
2 Road Specifications
   Road Specifications For
   Passenger Cars

    Design Vehicle Dimensions                                                          unit : m

                                                Wheel                Overhang         Turning
       width        Height        Length
                                                base              Front     Rear       radius
         2.0          2.8           6.0           3.7              1.0      1.3           7.0

    speed limit : over100km/hr on highway
    maximum slope: 1~2% more than common roadways
                Design Speed                            Flat area               Mount area
                   100km/hr                                  4%                    6%
                    80km/hr                                  6%                    7%
                    60km/hr                                  7%                    9%
    Verical Clearance: 3m                [car height(2.8m)+extra(0.2m)

Korean Expressway Corporation / Design Evaluation Division
3. Governing Factors

       3.1 Goal of Live Load Model Development

       3.2 Principal Factors of Live Load

       3.3 Procedure for Development of a Design Live

             Load Model

Korean Expressway Corporation / Design Evaluation Division
3. Governing Factors

   Goal of Live Load Model Development


                A constant safety rate across all span lengths




                  Development of economically feasible safe load that
                   befits bridge life cycle.



               Load patterns that are easy to use in design
                process, and are familiar to designers.



Korean Expressway Corporation / Design Evaluation Division
3. Governing Factors
   Principal Factors of Live Load




     Distance between vehicles                              (= 1.2m)

     Load distribution of axle load
    Vehicle type [passenger car, truck]
     Vehicle weight [vehicle + load weight]
     Compounding affect of vehicles in tandem



Korean Expressway Corporation / Design Evaluation Division
3. Governing Factors
   Principal Factor of Live Load




                Passenger car                                 Truck




  Type/Weight of Vehicle
  Compounding affects of vehicles in tandem

Korean Expressway Corporation / Design Evaluation Division
3. Governing Factors
   Procedure for Development
   of a Design Live Load Model

                Survey of vehicle loads and driving patterns



               Determine the trend line by Probability Chart



             Estimate maximum load effects by span length


                              Determine design live load


Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

          4.1 driving patterns
          4.2 Maximum load effect
          4.3 Live load model
          4.4 economical benefits



Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Survey of Vehicle Loads

  • Location : Central Inland Highway(South bound ,Yeoju JCT ~ Janghowon IC)
  • Vehicles : Passenger car/ 1 ton truck (total 60,494 vehicles)


                                                                   WIM System

 • WIM ; Weigh-In-Motion                                           Loop Sensor   Piezo Sensor
   - Loop Sensor : measures axle
     lengths
   - Piezo Sensor : measures vehicle
     speed, weight , and number of axles.

  ※ WIM system allows a more                                                          Data
                                                                                      Locker
    accurate weight for smaller
    vehicles.

Korean Expressway Corporation / Design Evaluation Division
4. Specification Development
   Survey of Driving Patterns

    Driving Pattern Survey      • Location : Pangyo IC~Singal JCT, Topyeong IC~Namyangju IC
   (mixture rate/tandem rate)   • Vehicles : Passenger car/ 1 ton truck (total 43,973 vehicles)




     ※We must discover the passenger car/truck mixture when travelling
          in tandem.


Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Estimating Maximum Load Effects (1)

  Maximum Load Effects by Largest single vehicle


     • using top 10%, 20% values                             Trend Line Sample
        from weight survey data                                    Chart

     • using the Gumbel Probability
       Chart
      - an equation can convert
        probability distribution to a one-
        dimensional linear formula
     • Trend Line(y=a+bx)
        y=Gumbel probability
        x=weight



Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Estimating Maximum Load Effects (2)
 Maximum Load Effects by Vehicles in tandem




     Groups of vehicles running in tandem
       - different types running in tandem
       – same types of vehicles running in tandem
     Using a Marcov Chain
                                                               P              T
                                         P                   0.84120
                                                             18,185        0.06018
                                                                            1,301

                                         T               0.06018
                                                           1,301           0.00893
                                                                              193


Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Estimating Maximum Load Effects (2)

     Calculating load effects at variable span lengths (positive
    moment, shear, and negative moment)


                Largest single vehicle                            Vehicles in tandem




                                            Vehicles in tandem




Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Bias Factor

          Bias factor of positive moment




                                     Constant
                                    safety rate




 In order to ensure a constant safety rate over variable span lengths we use
a Bias factor calculation(M75/MDESIGN)


Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Design Live Load

                                            •uniformly distributed load + concentrated load.



                                                 ※ span length 10m : 12ton vehicle allowable
                                                 ※ span length 30m : 15ton vehicle allowable




Korean Expressway Corporation / Design Evaluation Division
4. Specification Development

   Comparison of Costs with Regular Road
                                                                   Sample bridge : PnP
            DB-24, DL-24                         CL-3.5
                                                                         bridge

                                                                        Less road width
                                                                    # of girders 5 ⇒ 4

                                                                    Cost savings of 18%




                                                                          Lighter Load
     2.7m




                                                                    height: 14.8% less
                                         2.3m




                                                                    concrete: 18.5% less
                                                                    rebar : 9.6% less

                                                                    Cost savings of 7%



     Superstructure is 20 – 27% cheaper.
Korean Expressway Corporation / Design Evaluation Division
Summary 1


        Benefits of Passenger Car Only Roads are that they are
            cheaper, smaller, and safer than regular roads.

        Passenger Car Only roads are needed because of urban
            area overdevelopment and high land costs in cities.

        Estimating maximum load effects for both categories,
            greatest load and groups of vehicles running in tandem, using
            span lengths from 10 meters to 100 meters.




Korean Expressway Corporation / Design Evaluation Division

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A Study on Development of Live Load Model for Passenger Vehicles-only Bridges

  • 1. A Study on Development of Live Load Model for Pass enger Vehicles-only Bridges Korean Expressway Corporation Choi Hyeok-jin (Structure Engineer, PE)
  • 2. A Study on Development of Live Load Model for 1. Background Passenger Car-only Bridges 2. Road Specifications 3. Governing Factors CONTENT 4. Specification Development S
  • 3. 1. Background 1.1 Benefits of Designated Highways 1.2 Benefits of Passenger vehicles-Only Roads
  • 4. 1. Background Designated Road Safety Economical Efficiency Public dissatisfaction Complex design issues Korean Expressway Corporation / Design Evaluation Division
  • 5. 1. Background Car Only Highways  Less Road Accidents  Faster Travel Times  More comfortable for long distances  Road Barriers  Straight roads for higher speeds  Overpass construction Korean Expressway Corporation / Design Evaluation Division
  • 6. 1. Background Passenger Car/ Truck Comparison Passenger Car Heavy Trucks Korean Expressway Corporation / Design Evaluation Division
  • 7. 1. Background Benefits of Passenger Vehicle Only Roads Passenger Vehicle Small Size  Smaller Lanes  Lower Height Clearances Agility  Lighter Loads  Uniformity of Speed Speed Korean Expressway Corporation / Design Evaluation Division
  • 8. 1. Background Korean Vehicles By Weight 1 Ton or Less 4500000 88.5% 4000000 3500000 3000000 2500000 Passenger 2000000 Cars 1500000 76.1% 1000000 500000 0 Korean Expressway Corporation / Design Evaluation Division
  • 9. 1. Background Traffic Statistics Vehicle Ratios Cost of Traffic Jams 교통혼잡 비용 (조원) 30 25 10% Passenger Vehicles 20 (73%) 15 10 5 Passenger Vehicles 0 (90%)Heavy Trucks 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 Heavy Trucks Urban Areas Cost of Traffic Jams to the Korean Economy = US$ 19,000,000,000 All Roads Korean Expressway Corporation / Design Evaluation Division
  • 10. 1. Background Problems of New Road Construction  Acquiring Land (Currently in Use)  Land Prices (Appropriation)  Environmental Impact  Public Inconvenience Smaller roads avoid many of these problems Korean Expressway Corporation / Design Evaluation Division
  • 11. 2 Road Specifications 2.2 Examples of Passenger Car Only Roads 2.3 Road Specifications Korean Expressway Corporation / Design Evaluation Division
  • 12. 2 Road Specifications International Examples(1) France Malaysia China (Under construction) (Under construction) (public service) • Paris Ring Road • Smart Tunnel • Fuxing Donglu Abstract; • A86 Highway Tunnel V=70km/h V=60km/h V=40km/h Speed limit 2 lanes/2 levels 2 lanes/2 levels 2 lanes/2 levels 4 lanes 4 lanes 4 lanes length (10.0km) (3.0km) (2.8km) Period of 1997~2010 1995~2007 2002~2004 construction Korean Expressway Corporation / Design Evaluation Division
  • 13. 2 Road Specifications International Examples(2) France Malaysia China (Under construction) (Under construction) (public service) 횡류식 적용 환기 - 급기 환기소 : 4개소 방식 - 배기 환기소 : 4개소 cross Section Road width 8.7m 8.85m 7.0m Lane width 2.8m 3.25m 3.0m vertical 2.55m 2.55m 2.60m Clearance Construction TBM TBM, NATM, SHIELD SHIELD method Korean Expressway Corporation / Design Evaluation Division
  • 14. 2 Road Specifications Korean Examples 900 200 200 8.500 8.500 map 500 2.000 2@3.000=6.000 500 250 250 500 2@3.000=6.000 2.000 500 3.000 3.000 5.200 3.200 1.000 1.000 1.000 1.000 150 150 1.100 800 Seobu 9.250 highway 950 950 9.250 800 project 11.000 VAR. 11.000 (Soengsan Bridge~Anyangchun Bridge) • 표준 폭원 및 시설한계 Cross 2 lanes/2 levels shoulder section Design Lane Vertical speed width Clearance left right 70km/hr 3.0m 3.0m 0.5m 2.0m length 11.9km ※민자사업으로 제안된 사업(사업 시행여부 미확정) Korean Expressway Corporation / Design Evaluation Division
  • 15. 2 Road Specifications Allowable Car Specifications division1 division2 division3 division4 Passenger 1,000cc less 1,500cc less 1,500~2,000cc less 2,000cc or over Car Bus 1,000cc less under 15 people under 35 people 36 people or over Load capacity under 1 Load capacity under 5 Load capacity under 1 ton ton ton Truck 1,000cc less loaded weight under 3.5 loaded weight under 10 loaded weight 3.5 ton or ton ton over Special loaded weight under 3.5 loaded weight under 10 loaded weight under 10 1,000cc less Vehicle ton ton ton or over Korean Expressway Corporation / Design Evaluation Division
  • 16. 2 Road Specifications Allowable Special Vehicles Pump Truck Snow Plow 7.08ton 10.2ton Roller 8.8ton  These vehicles, still under 12 tons, can be on the road, but only when all other cars Small Tanker 10.73ton Extension Arm are vacated from the lane. 6.9ton Korean Expressway Corporation / Design Evaluation Division
  • 17. 2 Road Specifications Road Specifications For Passenger Cars  Design Vehicle Dimensions unit : m Wheel Overhang Turning width Height Length base Front Rear radius 2.0 2.8 6.0 3.7 1.0 1.3 7.0  speed limit : over100km/hr on highway  maximum slope: 1~2% more than common roadways Design Speed Flat area Mount area 100km/hr 4% 6% 80km/hr 6% 7% 60km/hr 7% 9%  Verical Clearance: 3m [car height(2.8m)+extra(0.2m) Korean Expressway Corporation / Design Evaluation Division
  • 18. 3. Governing Factors 3.1 Goal of Live Load Model Development 3.2 Principal Factors of Live Load 3.3 Procedure for Development of a Design Live Load Model Korean Expressway Corporation / Design Evaluation Division
  • 19. 3. Governing Factors Goal of Live Load Model Development  A constant safety rate across all span lengths  Development of economically feasible safe load that befits bridge life cycle.  Load patterns that are easy to use in design process, and are familiar to designers. Korean Expressway Corporation / Design Evaluation Division
  • 20. 3. Governing Factors Principal Factors of Live Load  Distance between vehicles (= 1.2m)  Load distribution of axle load Vehicle type [passenger car, truck]  Vehicle weight [vehicle + load weight]  Compounding affect of vehicles in tandem Korean Expressway Corporation / Design Evaluation Division
  • 21. 3. Governing Factors Principal Factor of Live Load Passenger car Truck  Type/Weight of Vehicle  Compounding affects of vehicles in tandem Korean Expressway Corporation / Design Evaluation Division
  • 22. 3. Governing Factors Procedure for Development of a Design Live Load Model Survey of vehicle loads and driving patterns Determine the trend line by Probability Chart Estimate maximum load effects by span length Determine design live load Korean Expressway Corporation / Design Evaluation Division
  • 23. 4. Specification Development 4.1 driving patterns 4.2 Maximum load effect 4.3 Live load model 4.4 economical benefits Korean Expressway Corporation / Design Evaluation Division
  • 24. 4. Specification Development Survey of Vehicle Loads • Location : Central Inland Highway(South bound ,Yeoju JCT ~ Janghowon IC) • Vehicles : Passenger car/ 1 ton truck (total 60,494 vehicles) WIM System • WIM ; Weigh-In-Motion Loop Sensor Piezo Sensor - Loop Sensor : measures axle lengths - Piezo Sensor : measures vehicle speed, weight , and number of axles. ※ WIM system allows a more Data Locker accurate weight for smaller vehicles. Korean Expressway Corporation / Design Evaluation Division
  • 25. 4. Specification Development Survey of Driving Patterns Driving Pattern Survey • Location : Pangyo IC~Singal JCT, Topyeong IC~Namyangju IC (mixture rate/tandem rate) • Vehicles : Passenger car/ 1 ton truck (total 43,973 vehicles) ※We must discover the passenger car/truck mixture when travelling in tandem. Korean Expressway Corporation / Design Evaluation Division
  • 26. 4. Specification Development Estimating Maximum Load Effects (1) Maximum Load Effects by Largest single vehicle • using top 10%, 20% values Trend Line Sample from weight survey data Chart • using the Gumbel Probability Chart - an equation can convert probability distribution to a one- dimensional linear formula • Trend Line(y=a+bx) y=Gumbel probability x=weight Korean Expressway Corporation / Design Evaluation Division
  • 27. 4. Specification Development Estimating Maximum Load Effects (2) Maximum Load Effects by Vehicles in tandem  Groups of vehicles running in tandem - different types running in tandem – same types of vehicles running in tandem  Using a Marcov Chain P T P 0.84120 18,185 0.06018 1,301 T 0.06018 1,301 0.00893 193 Korean Expressway Corporation / Design Evaluation Division
  • 28. 4. Specification Development Estimating Maximum Load Effects (2)  Calculating load effects at variable span lengths (positive moment, shear, and negative moment) Largest single vehicle Vehicles in tandem Vehicles in tandem Korean Expressway Corporation / Design Evaluation Division
  • 29. 4. Specification Development Bias Factor Bias factor of positive moment Constant safety rate In order to ensure a constant safety rate over variable span lengths we use a Bias factor calculation(M75/MDESIGN) Korean Expressway Corporation / Design Evaluation Division
  • 30. 4. Specification Development Design Live Load •uniformly distributed load + concentrated load. ※ span length 10m : 12ton vehicle allowable ※ span length 30m : 15ton vehicle allowable Korean Expressway Corporation / Design Evaluation Division
  • 31. 4. Specification Development Comparison of Costs with Regular Road Sample bridge : PnP DB-24, DL-24 CL-3.5 bridge Less road width # of girders 5 ⇒ 4 Cost savings of 18% Lighter Load 2.7m height: 14.8% less 2.3m concrete: 18.5% less rebar : 9.6% less Cost savings of 7%  Superstructure is 20 – 27% cheaper. Korean Expressway Corporation / Design Evaluation Division
  • 32. Summary 1  Benefits of Passenger Car Only Roads are that they are cheaper, smaller, and safer than regular roads.  Passenger Car Only roads are needed because of urban area overdevelopment and high land costs in cities.  Estimating maximum load effects for both categories, greatest load and groups of vehicles running in tandem, using span lengths from 10 meters to 100 meters. Korean Expressway Corporation / Design Evaluation Division