Questions and Answers
What is the formula to calculate vertical stress at a depth of 2 m directly beneath a point load of 50 KN?
The vertical stress at a depth, $ au_z$, is calculated using the Boussinesq equation: $ au_z = rac{P}{ ext{Area}}$.
How do you determine the vertical stress at a point located 2 m below and 1.5 m horizontally away from a 75 KN load?
You can use the Boussinesq equation or empirical methods to find the stress distribution at that point.
What is the vertical stress at a depth of 1 m beneath the center of a circular area subjected to a UDL of 100 KN/m² with a radius of 0.75 m?
The vertical stress can be determined using the formula for a uniformly distributed load, typically calculated as $ au_z = rac{q imes A}{2 imes ext{Depth}}$.
What factors influence the settlement under a point load of 100 KN in a homogenous pavement with E value of 200 MPa?
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How is the horizontal stress calculated at a depth of 3 m directly beneath a 50 KN point load?
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What are the steps to calculate the vertical stress developed by a 50 KN wheel load on a 10 cm thick asphalt layer over a subgrade?
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Using Burmister’s two-layer theory, how would you calculate horizontal tensile stress at the bottom of a 12 cm asphalt layer due to an 80 KN load?
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In a pavement system with three layers and a 70 KN load, why is it essential to consider E values of each layer?
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Study Notes
Assignment Submission Guidelines
- Assignment topics are for the course "Pavement Design & Analysis" at Madanapalle Institute of Technology & Science.
- Each group of students is assigned specific questions based on their roll numbers.
Load and Stress Calculations
- A point load of 50 kN results in vertical stress calculations at a depth of 2 m beneath the load in a semi-infinite homogeneous pavement.
- A 75 kN load assessed for vertical stress 2 m below the surface and 1.5 m horizontally from the point of application.
- Uniformly Distributed Load (UDL) of 100 kN/m² over a circular area (radius 0.75 m) requires vertical stress calculation at a depth of 1 m under the center.
- A point load of 100 kN with an elastic modulus (E) of 200 MPa and a Poisson's ratio of 0.30 necessitates settlement calculation at the surface point directly under the load.
Stress Types and Layers
- Horizontal stress evaluation is important; specifically at a depth of 3 m beneath a 50 kN point load on the pavement surface.
- Pavement with a 10 cm thick asphalt layer (E = 3000 MPa) over a subgrade (E = 100 MPa) subjected to a 50 kN wheel load over a circular radius of 15 cm, requires vertical stress development calculation.
Flexible Pavement Analysis
- A flexible pavement consists of a 12 cm thick asphalt layer (E = 2500 MPa) and a 25 cm GSB layer (E = 200 MPa). Stress under an 80 kN load applied over a circular area (radius 12 cm) requires horizontal tensile stress calculation at the asphalt layer’s base using Burmister’s two-layer theory.
Multi-Layer Pavement System
- A pavement structure includes:
- 15 cm thick asphalt concrete layer (E = 3000 MPa)
- 25 cm thick GSB layer (E = 300 MPa)
- Subgrade layer (E = 100 MPa)
- A wheel load of 70 kN is applied over a circular area with a radius of 20 cm, requiring appropriate stress calculations throughout the layers.
These topics emphasize the importance of understanding loading conditions, material properties, and stress analysis techniques in pavement design.
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Description
This assignment focuses on key topics in Pavement Design and Analysis as part of the course 20CE423 at Madanapalle Institute of Technology & Science. Students are required to complete specific questions outlined in the assignment. Make sure to follow the submission sequence for guidelines.
