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Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain?
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Cumulative Traffic Calculation for a Two Lane Two Way Road
Given data:
- Number of commercial vehicles per day: 1,000
- Vehicle Damage Factor (VDF): 3.9
- Growth rate: 5%
- Design period: 15 years
To calculate the cumulative traffic in million standard axle (msa) for a two lane two way road, we need to consider the following steps:
Step 1: Calculate the Annual Average Daily Traffic (AADT)
The AADT can be calculated using the formula:
AADT = (Number of commercial vehicles per day) x (365 days)
Given that the number of commercial vehicles per day is 1,000, the AADT can be calculated as:
AADT = 1,000 x 365 = 365,000
Step 2: Calculate the Cumulative Traffic
The cumulative traffic can be calculated using the formula:
Cumulative Traffic = AADT x VDF
Given that the VDF is 3.9, the cumulative traffic can be calculated as:
Cumulative Traffic = 365,000 x 3.9 = 1,423,500 msa
Step 3: Calculate the Cumulative Traffic for the Design Period
To calculate the cumulative traffic for the design period, we need to consider the growth rate. The cumulative traffic for each year can be calculated using the formula:
Cumulative Traffic (Year N) = Cumulative Traffic (Year N-1) x (1 + Growth Rate)
Given that the growth rate is 5% and the design period is 15 years, we can calculate the cumulative traffic for each year as follows:
Year 1: 1,423,500 msa
Year 2: 1,423,500 msa x (1 + 0.05) = 1,494,675 msa
Year 3: 1,494,675 msa x (1 + 0.05) = 1,569,409.75 msa
...
Year 15: Cumulative Traffic (Year 14) x (1 + 0.05)
Calculating the cumulative traffic for the design period, we get the value of 30.73 million standard axle (msa).
Therefore, the correct option is (D) 30.73 msa.
Given data:
- Number of commercial vehicles per day: 1,000
- Vehicle Damage Factor (VDF): 3.9
- Growth rate: 5%
- Design period: 15 years
To calculate the cumulative traffic in million standard axle (msa) for a two lane two way road, we need to consider the following steps:
Step 1: Calculate the Annual Average Daily Traffic (AADT)
The AADT can be calculated using the formula:
AADT = (Number of commercial vehicles per day) x (365 days)
Given that the number of commercial vehicles per day is 1,000, the AADT can be calculated as:
AADT = 1,000 x 365 = 365,000
Step 2: Calculate the Cumulative Traffic
The cumulative traffic can be calculated using the formula:
Cumulative Traffic = AADT x VDF
Given that the VDF is 3.9, the cumulative traffic can be calculated as:
Cumulative Traffic = 365,000 x 3.9 = 1,423,500 msa
Step 3: Calculate the Cumulative Traffic for the Design Period
To calculate the cumulative traffic for the design period, we need to consider the growth rate. The cumulative traffic for each year can be calculated using the formula:
Cumulative Traffic (Year N) = Cumulative Traffic (Year N-1) x (1 + Growth Rate)
Given that the growth rate is 5% and the design period is 15 years, we can calculate the cumulative traffic for each year as follows:
Year 1: 1,423,500 msa
Year 2: 1,423,500 msa x (1 + 0.05) = 1,494,675 msa
Year 3: 1,494,675 msa x (1 + 0.05) = 1,569,409.75 msa
...
Year 15: Cumulative Traffic (Year 14) x (1 + 0.05)
Calculating the cumulative traffic for the design period, we get the value of 30.73 million standard axle (msa).
Therefore, the correct option is (D) 30.73 msa.
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Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain?
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Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain?.
Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate cumulative traffic in million standard axle for per day commercial vehicles is 1,000 in the year of completion for a two lane two way road, VDF of 3.9, growth rate of 5% and design period of 15 years: (A) 15.36 msa (B) 23.53 msa (C) 23.03 msa (D) 30.73 msa Correct option is 'd'. Can any one explain?.
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