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A flexible pavement has a structural number of 3.8, the initial PSI is 4.7 and the terminal serviceability is 2.5. The soil has a resilient modulus of 13,000. The overall standard deviation is 0.4 and the design reliability is 95%. The pavement is currently designed for 1800 equivalent 18-kip single-axle loads per day. What is the pavement's design life in years? If the number of 18-kip single-axle loads were to increase by 50%, by how many years would the pavement's design life be reduced?

A flexible pavement has a structural number of 3.8, the initial PSI is 4.7 and the terminal serviceability is 2.5. The soil has a resilient modulus of 13,000. The overall standard deviation is 0.4 and the design reliability is 95%. The pavement is currently designed for 1800 equivalent 18-kip single-axle loads per day. What is the pavement's design life in years? If the number of 18-kip single-axle loads were to increase by 50%, by how many years would the pavement's design life be reduced?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Flexible Pavement Design Life Analysis A flexible pavement has a structural number of 3.8, the initial Present Serviceability Index (PSI) is 4.7, and the terminal serviceability is 2.5. The soil has a resilient modulus of 13,000 psi. The overall standard deviation is 0.4, and the design reliability is 95%. The pavement is currently designed for 1,800 equivalent 18-kip single-axle loads per day. #### Main Problem: 1. What is the pavement’s design life in years? #### Extended Problem: 2. If the number of 18-kip single-axle loads were to increase by 50%, by how many years would the pavement’s design life be reduced? The following parameters and their values are given: - **Structural Number (SN):** 3.8 - **Initial PSI:** 4.7 - **Terminal Serviceability:** 2.5 - **Resilient Modulus of Soil (Mr):** 13,000 psi - **Standard Deviation (σ):** 0.4 - **Design Reliability (R):** 95% - **Daily Load:** 1,800 equivalent 18-kip single-axle loads ### Detailed Explanation #### Calculating Pavement Design Life The design life of flexible pavement is determined using standard equations and models that incorporate the above parameters. Typically, the AASHTO (American Association of State Highway and Transportation Officials) Guide for Design predicts service life based on the given inputs. 1. **Change in the Number of Loads:** - Current loads/day: 1,800 - Increased loads/day (50% increase): \( 1,800 \times 1.5 = 2,700 \) 2. **Impact on Design Life:** - The pavement design life is inversely related to the number of loads it experiences. As the number of loads increases, the expected life span of the pavement generally decreases. #### Conclusion To solve the above questions, you would use detailed pavement design equations which factor in these variables to predict the design life and the impact of increased loads. Calculations typically use logistic or empirical models and often require computational tools for precise answers. By addressing these factors, one can predict the lifecycle and plan appropriate maintenance or design modifications for extending pavement life, even under intensified load conditions.
Transcribed Image Text:### Flexible Pavement Design Life Analysis A flexible pavement has a structural number of 3.8, the initial Present Serviceability Index (PSI) is 4.7, and the terminal serviceability is 2.5. The soil has a resilient modulus of 13,000 psi. The overall standard deviation is 0.4, and the design reliability is 95%. The pavement is currently designed for 1,800 equivalent 18-kip single-axle loads per day. #### Main Problem: 1. What is the pavement’s design life in years? #### Extended Problem: 2. If the number of 18-kip single-axle loads were to increase by 50%, by how many years would the pavement’s design life be reduced? The following parameters and their values are given: - **Structural Number (SN):** 3.8 - **Initial PSI:** 4.7 - **Terminal Serviceability:** 2.5 - **Resilient Modulus of Soil (Mr):** 13,000 psi - **Standard Deviation (σ):** 0.4 - **Design Reliability (R):** 95% - **Daily Load:** 1,800 equivalent 18-kip single-axle loads ### Detailed Explanation #### Calculating Pavement Design Life The design life of flexible pavement is determined using standard equations and models that incorporate the above parameters. Typically, the AASHTO (American Association of State Highway and Transportation Officials) Guide for Design predicts service life based on the given inputs. 1. **Change in the Number of Loads:** - Current loads/day: 1,800 - Increased loads/day (50% increase): \( 1,800 \times 1.5 = 2,700 \) 2. **Impact on Design Life:** - The pavement design life is inversely related to the number of loads it experiences. As the number of loads increases, the expected life span of the pavement generally decreases. #### Conclusion To solve the above questions, you would use detailed pavement design equations which factor in these variables to predict the design life and the impact of increased loads. Calculations typically use logistic or empirical models and often require computational tools for precise answers. By addressing these factors, one can predict the lifecycle and plan appropriate maintenance or design modifications for extending pavement life, even under intensified load conditions.
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