Questions and Answers
What is the formula to calculate the vertical stress increment under a wheel running with a point load?
∆𝜎 = 𝐼𝑝
In the context of circular footing, what does 'F' stand for in the formula to calculate stress increment?
Factor
For a circular footing, what does 'R' represent in the formula for stress increment?
Radius
If the distance 'X' from the center of a circular area is doubled, how does the stress increment change?
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What is the value of the vertical stress increment under a wheel at 4m depth if the factor 'I' is 0.477 and the load applied is 40 kPa?
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What equation did Boussinesq develop to calculate vertical stress increment in soils due to a point load on the surface?
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What is the formula for calculating stresses due to external loading?
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What does 𝐼𝑝 represent in Boussinesq's equation for calculating vertical stress increment in soils due to a point load?
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What is the standard vehicle axel load (P) given for a particular vehicle group in road pavement design?
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How does the equation for vertical stress increment due to a point load vary with the factor 𝐼𝑝?
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In the context provided, what is the formula for calculating stresses due to filling?
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Study Notes
W.T.L. at Different Depths
- Water table level (W.T.L.) is an important concept in soil mechanics, with different formulas applicable at different depths.
- At a very deep depth: 𝜎 = 𝛾h
- At the ground surface: 𝜎 = 𝛾h
Stresses due to Different Factors
- Stresses due to filling: ∆𝜎 = h ∗ 𝛾
- Stresses due to external loading:
- Stresses due to point load: ∆𝜎 = 𝐼𝑝 , where 𝐼 is a factor that depends on the load and the distance from the load.
- Example: a standard vehicle axle with a load of 80 kN and a wheel distance of 1.8 m, which results in a vertical stress increment of 1.945 kPa at a depth of 4 m.
- Stresses due to circular footing: ∆ 𝜎 = 𝑓 𝑅𝑥 , 𝑅𝑧 ∗ ∆ 𝑞 𝑛 𝑒 𝑡, where F is a factor that depends on the radius of the circular area and the distance from the center of the circle.
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