GATE CE 2014 Set 1 — Question 60
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Transportation Engineering → Pavement Design → Traffic Load & ESAL
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Question
A traffic survey conducted on a road yields an average daily traffic count of 5000 vehicles. The axle load distribution on the same road is given in the following table:
The design period of the road is 15 years, the yearly traffic growth rate is 7.5% and the load safety factor (LSF) is 1.3. If the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load, MSA) is ____________
| Axle load (tonnes) | Frequency of traffic (%) |
|---|---|
| 18 | 10 |
| 14 | 20 |
| 10 | 35 |
| 8 | 15 |
| 6 | 20 |
Correct answer
307 to 310
Solution
To calculate the design traffic in Million Standard Axles (MSA), we follow these steps:
Taking the standard axle load tonnes (a common value used in such problems to align with specific design charts):
Where:
Thus, the design traffic is approximately 308.8 MSA, which falls within the range of 307 to 310.
1.Calculate the Vehicle Damage Factor (VDF):
The VDF is calculated using the fourth-power law: , where is the axle load, is the standard axle load, and is the frequency.Taking the standard axle load tonnes (a common value used in such problems to align with specific design charts):
2.Calculate the Cumulative Standard Axles (N):
The formula for design traffic is:Where:
- (Initial traffic count)
- (Growth rate)
- (Design period)
- (Load Safety Factor)
- (Assuming single lane as not specified)
Thus, the design traffic is approximately 308.8 MSA, which falls within the range of 307 to 310.
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