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Development of Live Load Model
for Road Bridges




                     Korean Expressway Corporation
                             Choi Hyeok-jin [HOOK]
                            (Structure Engineer, PE)
Development
 of Live Load Model   1. Truck Load of Countries
 For Road Bridges
                      2. Governing Factors
                      3. Specification Development
CONTENT
   S
1. Truck Load of Countries

1.1 Standard Truck Load of Various Countries

1.2 Live Load Effects of Various Countries
Standard Truck Load of Various Countries
Total     Max
     National   Code                        1st   2nd   3rd   4th   5th
                       Weight   Axle load


      Korea



         USA




         USA



Canada

    Canada


    Eurocode
   USK



   Germany




    Japen
Live Load Effects of Various Countries

       (Simple Span, Moment)
Span Length(m)
Span Length(m)
2. Governing Factors



2.1 Goal of Live Load Model Development

2.2 Principal Factors of Live Load

2.3 Procedure for Development of a Design Live

   Load Model
Goal of 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
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
Principal Factor of Live Load




               Passenger car                   Truck




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

Korean Expressway Corporation
Procedure for Development


               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
3. Specification Development

         3.1 driving patterns
         3.2 Maximum load effect
         3.3 Live load model
         3.4 economical benefits



Korean Expressway Corporation
Survey of Vehicle Loads

 • BWIM ; Weigh-In-Motion
   - Use the Displacement of Bridge by Passing Car

                                                     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
Survey of Driving Patterns

    Driving Pattern              Mixture rate
        Survey                   Tandem rate




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


Korean Expressway Corporation
Estimating Max 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
Estimating Max 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
Estimating Max Load Effects (3)

     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
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 Live Load

                                •uniformly distributed load + concentrated load.



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




Korean Expressway Corporation
Summary


       Estimating maximum load effects for both categories,
            greatest load and groups of vehicles running in tandem, using
            span lengths to 200 meters.



       The proposed design load includes two components :

            (1) a uniformly distributed load, and (2) a concentrated load.




Korean Expressway Corporation

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Make design load model

  • 1. Development of Live Load Model for Road Bridges Korean Expressway Corporation Choi Hyeok-jin [HOOK] (Structure Engineer, PE)
  • 2. Development of Live Load Model 1. Truck Load of Countries For Road Bridges 2. Governing Factors 3. Specification Development CONTENT S
  • 3. 1. Truck Load of Countries 1.1 Standard Truck Load of Various Countries 1.2 Live Load Effects of Various Countries
  • 4. Standard Truck Load of Various Countries
  • 5. Total Max National Code 1st 2nd 3rd 4th 5th Weight Axle load Korea USA USA Canada Canada Eurocode USK Germany Japen
  • 6. Live Load Effects of Various Countries (Simple Span, Moment)
  • 9. 2. Governing Factors 2.1 Goal of Live Load Model Development 2.2 Principal Factors of Live Load 2.3 Procedure for Development of a Design Live Load Model
  • 10. Goal of 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
  • 11. 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
  • 12. Principal Factor of Live Load Passenger car Truck  Type/Weight of Vehicle  Compounding affects of vehicles in tandem Korean Expressway Corporation
  • 13. Procedure for Development 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
  • 14. 3. Specification Development 3.1 driving patterns 3.2 Maximum load effect 3.3 Live load model 3.4 economical benefits Korean Expressway Corporation
  • 15. Survey of Vehicle Loads • BWIM ; Weigh-In-Motion - Use the Displacement of Bridge by Passing Car 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
  • 16. Survey of Driving Patterns Driving Pattern  Mixture rate Survey  Tandem rate ※We must discover the passenger car/truck mixture when travelling in tandem. Korean Expressway Corporation
  • 17. Estimating Max 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
  • 18. Estimating Max 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
  • 19. Estimating Max Load Effects (3)  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
  • 20. 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
  • 21. Design Live Load •uniformly distributed load + concentrated load. ※ span length 10m : 12ton vehicle allowable ※ span length 30m : 15ton vehicle allowable Korean Expressway Corporation
  • 22. Summary  Estimating maximum load effects for both categories, greatest load and groups of vehicles running in tandem, using span lengths to 200 meters.  The proposed design load includes two components : (1) a uniformly distributed load, and (2) a concentrated load. Korean Expressway Corporation