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.
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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
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12. Principal Factor of Live Load
Passenger car Truck
Type/Weight of Vehicle
Compounding affects of vehicles in tandem
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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
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14. 3. Specification Development
3.1 driving patterns
3.2 Maximum load effect
3.3 Live load model
3.4 economical benefits
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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.
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16. Survey of Driving Patterns
Driving Pattern Mixture rate
Survey Tandem rate
※We must discover the passenger car/truck mixture when travelling
in tandem.
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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
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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
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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
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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)
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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.
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