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Questions and Answers
What is the formula to calculate the vertical stress increment under a wheel running with a point load?
What is the formula to calculate the vertical stress increment under a wheel running with a point load?
- ∆𝜎 = 𝐼𝑝 (correct)
- ∆𝜎 = 4𝐼
- ∆𝜎 = 3𝑝
- ∆𝜎 = 2𝑝
In the context of circular footing, what does 'F' stand for in the formula to calculate stress increment?
In the context of circular footing, what does 'F' stand for in the formula to calculate stress increment?
- Footing
- Footprint
- Figure
- Factor (correct)
For a circular footing, what does 'R' represent in the formula for stress increment?
For a circular footing, what does 'R' represent in the formula for stress increment?
- Radius (correct)
- Rate
- Roughness
- Resistance
If the distance 'X' from the center of a circular area is doubled, how does the stress increment change?
If the distance 'X' from the center of a circular area is doubled, how does the stress increment change?
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?
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?
What equation did Boussinesq develop to calculate vertical stress increment in soils due to a point load on the surface?
What equation did Boussinesq develop to calculate vertical stress increment in soils due to a point load on the surface?
What is the formula for calculating stresses due to external loading?
What is the formula for calculating stresses due to external loading?
What does 𝐼𝑝 represent in Boussinesq's equation for calculating vertical stress increment in soils due to a point load?
What does 𝐼𝑝 represent in Boussinesq's equation for calculating vertical stress increment in soils due to a point load?
What is the standard vehicle axel load (P) given for a particular vehicle group in road pavement design?
What is the standard vehicle axel load (P) given for a particular vehicle group in road pavement design?
How does the equation for vertical stress increment due to a point load vary with the factor 𝐼𝑝?
How does the equation for vertical stress increment due to a point load vary with the factor 𝐼𝑝?
In the context provided, what is the formula for calculating stresses due to filling?
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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