Numerical Example - 28.9 | 7. IRC Method of Design of Flexible Pavements | Transportation Engineering - Vol 2
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Interactive Audio Lesson

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Overview of the Design Parameters

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Teacher
Teacher

Today, we will begin our discussion on pavement design with a numerical example. Can anyone tell me what factors influence the design of pavements?

Student 1
Student 1

I think the amount of traffic is important.

Teacher
Teacher

Absolutely right! We consider factors like initial traffic, traffic growth rates, and design life. For our example today, the initial traffic is 400 CVPD. What does CVPD stand for?

Student 2
Student 2

Commercial Vehicles Per Day!

Teacher
Teacher

Exactly! Now, this initial traffic is combined for both directions, meaning it reflects total vehicle usage on this roadway. Let's discuss how we calculate future traffic.

Calculating Cumulative Standard Axles

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Teacher
Teacher

To forecast the traffic over the design life, we apply the traffic growth rate. Here, we have a growth rate of 7.5%. Can one of you help me use this to calculate cumulative standard axles?

Student 3
Student 3

Do we just multiply the initial traffic by the growth for the years?

Teacher
Teacher

Good question! We actually use a formula that combines traffic, growth rate, and vehicle damage factor, leading us to calculate N. Let’s run through that formula step by step together!

Determining Total Pavement Thickness

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Teacher
Teacher

Once we have determined the cumulative axles, we can refer to the IRC:37 chart to find the pavement thickness required. What was our total thickness found from the chart?

Student 4
Student 4

660 mm based on the 4% CBR and 7.2 MSA!

Teacher
Teacher

Correct! Remember, this thickness is not just a single layer. What are the components of this pavement design?

Student 1
Student 1

We have a bituminous surfacing and a road base!

Teacher
Teacher

Precisely! And how are those layers composed?

Understanding Pavement Composition

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Teacher
Teacher

Let’s discuss the composition of our pavement, which included different layers. Who can summarize those layers for me?

Student 2
Student 2

We need 25 mm of SDBC, 70 mm of DBM for the bituminous layer, 250 mm of WBM for the base, and 315 mm of sub-base material!

Teacher
Teacher

Excellent recap! And why do we specify the CBR for the sub-base material?

Student 3
Student 3

It ensures that the material can support the traffic load adequately, right?

Teacher
Teacher

Exactly! Material properties are crucial in our pavement design. To ensure performance, we always want that minimum CBR.

Recap of Key Takeaways

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Teacher
Teacher

As we conclude, let’s summarize what we learned from this example. What are the key steps in our design process?

Student 4
Student 4

We started with initial traffic data and applied the growth rate to estimate cumulative axles.

Student 1
Student 1

After calculating, we checked the IRC chart for pavement thickness.

Student 2
Student 2

And finally listed the components needed down to their specifications!

Teacher
Teacher

Wonderful! Remember, each step is part of a systematic approach to pavement design, which ensures roads can last for many years under heavy load.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section provides a numerical example demonstrating the pavement design for a new bypass with specific traffic and soil characteristics.

Standard

The example illustrates a systematic approach to pavement design using specific data such as initial traffic, traffic growth rate, design life, vehicle damage factor, and subgrade soil CBR value. It showcases the calculated traffic in terms of million standard axles (MSA) and how to determine the total pavement thickness accordingly.

Detailed

Numerical Example

In this section, we detail the steps involved in designing pavement for a new bypass based on specific input data. The example begins with parameters crucial to the pavement's structural integrity: a two-lane carriageway with an initial traffic load of 400 Commercial Vehicles Per Day (CVPD), a traffic growth rate of 7.5%, and a design life of 15 years. Additionally, it considers a vehicle damage factor of 2.5 and a subgrade soil CBR of 4%.

Design Constants:

  1. Initial Traffic: 400 CVPD (combined for both directions)
  2. Traffic Growth Rate: 7.5%
  3. Design Life: 15 years
  4. Vehicle Damage Factor: 2.5 (for axle load survey)
  5. Design CBR of Subgrade Soil: 4%

Calculation Process:

  1. The distribution factor is identified as 0.75.
  2. The total cumulative standard axles (N) for design is calculated using the formula:
    \[
    N = 365 \times (1 + 0.075)^{15} \times 400 \times 0.75 \times 2.5 \div 0.075
    \]
    This results in \( N = 7200000 \) or approximately 7.2 MSA.
  3. Referring to IRC:37 2001 chart 1 for CBR 4% and traffic 7.2 MSA, the total pavement thickness is found to be 660 mm.
  4. The composition of the pavement is derived by interpolation from the Pavement Design Catalogue (IRC:37 2001), as follows:
  5. Bituminous surfacing: 25 mm SDBC + 70 mm DBM
  6. Road-base: 250 mm WBM
  7. Sub-base: 315 mm granular material with a minimum CBR of 30%

Overall, this numerical example illustrates the application of theoretical concepts in practical pavement design, emphasizing the importance of calculating traffic loads and understanding material properties.

Audio Book

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Pavement Design Introduction

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Design the pavement for construction of a new bypass with the following data:
1. Two lane carriageway
2. Initial traffic in the year of completion of construction = 400 CVPD (sum of both directions)
3. Traffic growth rate = 7.5 %
4. Design life = 15 years
5. Vehicle damage factor based on axle load survey = 2.5 standard axle per commercial vehicle
6. Design CBR of subgrade soil = 4%.

Detailed Explanation

This chunk outlines the specific conditions and requirements for the pavement design of a new bypass. It includes vital information such as the type of road (two-lane carriageway), the initial traffic volume expected (400 commercial vehicles per day), the anticipated growth in traffic over the years (7.5% per year), the lifespan for which the pavement should be designed (15 years), and the characteristics of the subgrade soil (design CBR of 4%). The vehicle damage factor indicates how different vehicles impact pavement wear.

Examples & Analogies

Imagine planning a two-lane highway in a rural area. You anticipate that in 15 years, traffic will increase due to more people moving into the area and businesses expanding, similar to planting a tree – you need to consider how tall it will grow and what space it will need to thrive.

Calculating Design Traffic

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  1. Distribution factor = 0.75
  2. N = 365 × (1 + 0.075) ^ 15 × 400 × 0.75 × 2.5 / 0.075 = 7200000 = 7.2 msa

Detailed Explanation

In this section, we calculate the total design traffic over the pavement's lifespan. The distribution factor is a coefficient that helps determine how traffic is spread over the lanes. The calculation uses the initial traffic volume, growth rate, and distribution factor to arrive at the total number of standard axles expected over 15 years, resulting in 7.2 million standard axles (msa). This helps engineers understand the expected load the pavement must support.

Examples & Analogies

Think of it like forecasting the number of visitors to a park over several years. If you expect traffic to increase due to more local families moving into the area, you'll need to calculate how many visitors will come based on past trends, just like predicting the number of axles using growth rates.

Pavement Thickness Determination

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  1. Total pavement thickness for CBR 4% and traffic 7.2 msa from IRC:37 2001 chart1 = 660 mm.

Detailed Explanation

Once the expected traffic is calculated, the next step is to determine the appropriate thickness of the pavement layers required to withstand that traffic over time. According to the IRC guidelines, for a CBR value of 4% and an estimated traffic load of 7.2 msa, a total pavement thickness of 660 mm is recommended. This thickness is essential for providing the durability and stability needed for the pavement over its expected lifespan.

Examples & Analogies

Imagine building a sturdy shelf to hold heavy books. You need to decide how thick the shelf should be based on how many books you'll store. Similarly, engineers calculate pavement thickness based on expected traffic load, ensuring it can handle the weight without collapsing.

Pavement Composition

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  1. Pavement composition can be obtained by interpolation from Pavement Design Catalogue (IRC:37 2001).
    (a) Bituminous surfacing = 25 mm SDBC + 70 mm DBM
    (b) Road-base = 250 mm WBM
    (c) Sub-base = 315 mm granular material of CBR not less than 30 %

Detailed Explanation

The final step in designing the pavement is to determine its composition, which involves the different layers that make up the roadway. This example outlines the specific materials and thicknesses required for each layer: the bituminous surfacing (25 mm of Stone Matrix Asphalt Concrete and 70 mm of Dense Bituminous Macadam), a road-base made of 250 mm of Water Bound Macadam, and a sub-base of 315 mm of granular material with a minimum CBR of 30%. This layered structure is crucial for the longevity and performance of the pavement.

Examples & Analogies

Think of a cake with different layers: the bottom layer might be a thick spongecake (sub-base), the middle could be a rich cream layer (road-base), and the top frosting (bituminous surfacing) ties it all together. Each layer is crucial for ensuring the cake is delicious and doesn't crumble – just like every layer of pavement is vital for its stability and durability.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Traffic Load Calculation: Importance of calculating cumulative standard axles for design.

  • Pavement Thickness: Relationship between cumulative standard axles and required thickness.

  • Material Specifications: Significance of material selection based on CBR values.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • The example illustrates the calculation of cumulative standard axles for a new road based on initial traffic and growth factors, leading to a total of 7.2 MSA.

  • Finding the pavement thickness of 660 mm for a CBR of 4% as determined from the IRC design charts.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Traffic loads on the road take their day, CBR checks keep pavement woes away.

📖 Fascinating Stories

  • Picture a new bypass growing with traffic; as vehicles come, they add pressure. The pavement's thickness must keep up with the load, ensuring a smooth journey for years to come!

🧠 Other Memory Gems

  • For pavement design remember: C - Cumulative axles, T - Thickness from charts, M - Material properties.

🎯 Super Acronyms

TRAFFIC

  • T: = Traffic load
  • R: = Rate of growth
  • A: = Axles cumulative
  • F: = Future planning
  • F: = Factors considered
  • I: = Initial design
  • C: = Composition needed.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: CVPD

    Definition:

    Commercial Vehicles Per Day - a measure of traffic volume based on the number of commercial vehicles.

  • Term: CBR

    Definition:

    California Bearing Ratio - a measure of soil strength used for pavement design.

  • Term: MSA

    Definition:

    Million Standard Axles - a unit representing the traffic load in terms of standard axles over the pavement's design period.

  • Term: WBM

    Definition:

    Water Bound Macadam - a type of road base material used for constructing road layers.

  • Term: DBM

    Definition:

    Dense Bituminous Macadam - bituminous layer used in flexible pavements.

  • Term: SDBC

    Definition:

    Semi-Dense Bituminous Concrete - a type of surfacing layer in flexible pavement.