Soil Mechanics Questions and Answers – Stress Distribution – Vertical Pressure – 2

This set of Soil Mechanics Multiple Choice Questions & Answers (MCQs) focuses on “Stress Distribution – Vertical Pressure – 2”.

1. For maximum vertical stress, the shear stress is _________ if the load is 30 kN and r=4m.
a) 0.4356 kN/m²
b) 0.1359 kN/m²
c) 0.1518 kN/m²
d) 0.3625 kN/m²
View Answer

2. What will be the intensity of shear stress at a depth of 4m and at a radial distance of 1m from concentrated load of 20 kN?
a) 0.4356 kN/m²
b) 0.244 kN/m²
c) 0.652 kN/m²
d) 0.128 kN/m²
View Answer

3. If r/z ratio is 2 and load of 20 kN is acting at a point, then the vertical pressure at a depth 6m is ____________
a) 0.4356 kN/m²
b) 0.244 kN/m²
c) 0.1518 kN/m²
d) 4.72*10^-3 kN/m²
View Answer

4. The Boussinesq influence factor for r/z ratio equal to 1 is given by ____________
a) 0.3840
b) 0.5465
c) 0.0844
d) 0.2312
View Answer

5. When the maximum vertical stress is 0.235 kN/m² at a radial distance of 4m from the point load is __________ kN.
a) 42.34
b) 10.56
c) 20.76
d) 30.65
View Answer

6. The Boussinesq’s vertical pressure σ_z under a uniformly loaded circular area is given by ________
a) \(σ_z=q\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \)
b) \(σ_z=q\left[1+\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \)
c) \(σ_z=q\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}} \)
d) \(σ_z=q\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{5}{2}}\right] \)
View Answer

7. The Boussinesq influence factor for uniformly distributed circular area is given by ____________
a) \(K_B= \left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \)
b) \(K_B= \left[1+\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \)
c) \(K_B= \left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}} \)
d) \(K_B= q\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{5}{2}}\right] \)
View Answer

8. If θ is the apex angle which the line joining the apex makes with the outer edge of the loading of a circular area, then the Boussinesq’s vertical pressure σ_z under a uniformly loaded circular area is given by ______________
a) σ_z=q[1-sin³θ]
b) σ_z=q[1-cos³θ]
c) σ_z=q[1-tan³θ]
d) σ_z=q[1-cos²θ]
View Answer

9. The Boussinesq’s vertical pressure σ_z due to line load is given by ________
a) \(σ_z=\frac{5q’}{πz}\frac{1}{[1+\frac{x}{z}^2 ]^2} \)
b) \(σ_z=\frac{3q’}{πz}\frac{1}{[1+(\frac{x}{z})^2 ]^2} \)
c) \(σ_z=\frac{2q’}{πz}\frac{1}{[1+(\frac{x}{z})^2 ]^2} \)
d) \(σ_z=\frac{2q’}{z}\frac{1}{[1+⌊\frac{x}{z}⌋^2 ]^2} \)
View Answer

10. The Boussinesq’s vertical pressure σ_z due to line load at a point situated vertically below the line load is given by ________
a) \(σ_z=\frac{2q’}{πz}\)
b) \(σ_z=\frac{3q’}{πz}\)
c) \(σ_z=\frac{2q’}{πz}\frac{1}{[1+(z)^2 ]^2} \)
d) \(σ_z=\frac{2q’}{z}\)
View Answer

11. If θ is the angle subtended by the edges of the strip load, then the Boussinesq’s vertical pressure σ_z due to strip load is given by ________
a) \(σ_z=\frac{q}{π}(θ+sinθ)\)
b) \(σ_z=\frac{q}{π}(θ-sinθ)\)
c) \(σ_z=\frac{q}{π}(sinθ)\)
d) \(σ_z=\frac{q}{π} θ\)
View Answer

Answer: a
Explanation:

The vertical pressure due to elementary line load is given by,
\(∆σ_z=\frac{2q’}{πz}\frac{1}{[1+(\frac{0}{z})^2 ]^2} \)
When θ is the angle subtended by the edges of the strip load, the Boussinesq’s vertical pressure σ_z due to strip load is given by \(σ_z=\frac{q}{π}(θ+sinθ).\)

Sanfoundry Global Education & Learning Series – Soil Mechanics.

To practice all areas of Soil Mechanics, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]