Foundation Engineering Questions and Answers – Stresses in Flexible Pavements

This set of Foundation Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Stresses in Flexible Pavements”.

1. The maximum stress occurs on __________
a) vertical plane passing through radial distance of one from the point of load application
b) vertical plane passing through radial distance of two from the point of load application
c) vertical plane passing through the point of load application
d) vertical plane passing through radial distance of three from the point of load application
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2. The stress σ_z at any point (r,z) below the pavement is __________
a) \(σ_z=\frac{3P}{2πz^2}\left[\frac{1}{1+(\frac{r}{z})^3}\right]^\frac{5}{2}\)
b) \(σ_z=\frac{3P}{2πz^2}\left[\frac{1}{(\frac{r}{z})^2}\right]^\frac{5}{2}\)
c) \(σ_z=\left[\frac{1}{1+(\frac{r}{z})^2}\right]^\frac{5}{2}\)
d) \(σ_z=\frac{3P}{2πz^2}\left[\frac{1}{1+(\frac{r}{z})^2}\right]^\frac{5}{2}\)
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3. For the loaded circular area of radius a, the vertical stress on a vertical line passing through the center of the loaded area is __________
a) \(σ_z=p\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\right]\)
b) \(σ_z=p\left[1+\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\right]\)
c) \(σ_z=p\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\)
d) \(σ_z=p\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{5}{2}\right]\)
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4. For a loaded circular area of radius ‘a’, μ=Poisson’s ratio, the horizontal radial stress is ________
a) \(σ_r=\frac{p}{2} \left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}\right]\)
b) \(σ_r=\frac{p}{2} \left[\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
c) \(σ_r=\frac{p}{2} \left[1-2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
d) \(σ_r=\frac{p}{2} \left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
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5. The vertical strain ∈_z due to triaxial load (σ_z,σ_r,σ_t=σ_r) under the center of plate is _________
a) \(∈_z=\frac{1}{E}[σ_z-μ(σ_r)]\)
b) \(∈_z=\frac{1}{E}[σ_z-2μ(σ_r)]\)
c) \(∈_z=\frac{1}{E}[σ_z-23μ(σ_r)]\)
d) \(∈_z=\frac{1}{E}[σ_z-0.43μ(σ_r)]\)
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6. The elastic strain ∆ of the subgrade is __________
a) \(∆=\frac{p}{E}\left[(2-2μ^2)(a^2+z^2)^\frac{1}{2}-\frac{(1+μ) z^2}{(a^2+z^2)^\frac{1}{2}}+(μ+2μ^2-1)z\right]\)
b) \(∆=\frac{p}{2}\left[\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+ \frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
c) \(∆=\frac{p}{2}\left[1-2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+ \frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
d) \(∆=\frac{p}{2}\left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+ \frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)
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7. For a Poisson’s ratio of 0.5, the elastic strain ∆ is ___________
a) \(∆=\frac{3pa^2}{2E} \)
b) \(∆=\frac{pa^2}{2E(a^2+z^2)^\frac{1}{2}} \)
c) \(∆=\frac{3pa^2}{2E(a^2+z^2)^\frac{1}{2}} \)
d) \(∆=\frac{a^2}{2E(a^2+z^2)^\frac{1}{2}} \)
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8. For a Poisson’s ratio of 0.5, the elastic strain ∆ in terms of Boussinesq settlement factor is __________
a) \(∆=\frac{pa}{E} F_B\)
b) \(∆=\frac{3pa^2}{2E} F_B\)
c) \(∆=\frac{a^2}{2E} F_B\)
d) \(∆=\frac{pa^2}{2E} F_B\)
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9. The Boussinesq settlement factor is given by _______
a) \(F_B=\frac{3}{2} \frac{1}{1+(\frac{z}{a})^2}\)
b) \(F_B=\frac{3}{2} \frac{1}{(1+(\frac{z}{a})^2)^\frac{5}{2}}\)
c) \(F_B=\frac{3}{2} \frac{1}{(1+(\frac{z}{a})^2)^\frac{1}{2}}\)
d) \(F_B=\frac{1}{(1+(\frac{z}{a})^2)^\frac{1}{2}}\)
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10. If the load is at the surface of subgrade, the Boussinesq settlement factor is given by ________
a) 1.5
b) 2
c) 2.5
d) 3
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11. If the load is at the surface of subgrade, the elastic strain is ________
a) \(∆=\frac{pa}{E} 1.5\)
b) \(∆=\frac{3pa^2}{2E} 2.5\)
c) \(∆=\frac{a^2}{2E} 3\)
d) \(∆=\frac{pa^2}{2E} 3.5\)
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12. The Burmister’s influence coefficient is ________
a) \(C_B=\frac{σ_z}{p} \)
b) C_B=σ_z-p
c) C_B=σ_z*p
d) C_B=σ_z+p
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13. If F is a dimensionless factor, the defection in rigid plate of radius a is__________
a) \(∆=\frac{pa}{E} 1.5F\)
b) \(∆=\frac{pa}{E} 1.18F\)
c) \(∆=\frac{a^2}{2E} 1.18F\)
d) \(∆=\frac{pa}{E} 2F\)
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14. In Burmister analysis, the subgrade layers are non-homogeneous and anisotropic.
a) True
b) False
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15. In Burmister analysis, the subgrade layer is infinite only in vertical direction.
a) True
b) False
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Sanfoundry Global Education & Learning Series – Foundation Engineering.

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