MCQOPTIONS
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MCQOPTIONS
This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Soil Mechanics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The greatest value of maximum shear stress τmax occurs when angle θ is _________ |
| A. | π |
| B. | π/2 |
| C. | π/3 |
| D. | π/4 |
| Answer» C. π/3 | |
| 2. |
The maximum shear stress is the difference between major and minor principal stresses. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
Trapezoidal load is encountered in earth fills. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 4. |
For a load intensity of q=20kN/m, find the vertical stress σz from the given diagram. |
| A. | 5.62 kN/m2 |
| B. | 6.23 kN/m2 |
| C. | 13.33 kN/m2 |
| D. | 8.32 kN/m2 |
| Answer» D. 8.32 kN/m2 | |
| 5. |
For a triangular and uniformly distributed semi-infinite loads, the vertical stress σz is given by ___________ |
| A. | \(σ_z=\frac{q}{aπ}[xα+z] \) |
| B. | \(σ_z=\frac{q}{aπ}(aβ+xα) \) |
| C. | \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) |
| D. | \(σ_z=[xα-\frac{az}{(x-α)^2+z^2}(x-α)]\) |
| Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) | |
| 6. |
For a load intensity of q=20kN/m, find the shear stress τxz at a depth 5m from the given diagram. |
| A. | -5.2 kN/m2 |
| B. | -6.2 kN/m2 |
| C. | -7.2 kN/m2 |
| D. | -8.2 kN/m2 |
| Answer» C. -7.2 kN/m2 | |
| 7. |
For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is ___________ |
| A. | \(τ_{xz}=-\frac{qz}{aπ} α \) |
| B. | \(τ_{xz}=-\frac{q}{π} α\) |
| C. | \(τ_{xz}=-\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) |
| D. | \(τ_{xz}=-\frac{q}{π} z\) |
| Answer» B. \(τ_{xz}=-\frac{q}{π} α\) | |
| 8. |
For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by ___________ |
| A. | \(τ_{xz}=-\frac{qz}{aπ} \left[α_1-α_2 \right] \) |
| B. | \(τ_{xz}=-\frac{q}{π} \left[α_1+α_2 \right]\) |
| C. | \(τ_{xz}=-\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) |
| D. | \(τ_{xz}=-\frac{q}{π} \left[α_1-α_2 \right] \) |
| Answer» B. \(τ_{xz}=-\frac{q}{π} \left[α_1+α_2 \right]\) | |
| 9. |
For a symmetrically distributed triangular load, under the centre of the triangular load, the vertical stress at any point at a depth z is given by ___________ |
| A. | \(σ_z=\frac{q}{aπ} \left[α_1+α_2 \right] \) |
| B. | \(σ_z=\frac{q}{π} \left[α_1+α_2 \right]\) |
| C. | \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) |
| D. | \(σ_z=\frac{q}{π} \left[α_1-α_2 \right]\) |
| Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\) | |
| 10. |
For a linearly variable infinite load, for a point P, the vertical stress σz is _________ |
| A. | \(σ_z=\frac{q}{aπ} \left[xα+z\right] \) |
| B. | \(σ_z=\frac{q}{aπ} \) |
| C. | \(σ_z=\frac{q}{π}\left[\frac{az}{a^2+z^2}\right] \) |
| D. | \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) |
| Answer» B. \(σ_z=\frac{q}{aπ} \) | |
| 11. |
For point P under the support B, the vertical stress is given by __________ |
| A. | \(σ_z=\frac{q}{aπ} [xα(x-α)] \) |
| B. | \(σ_z=\frac{q}{π}α_B \) |
| C. | \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \) |
| D. | \(σ_z=\left[xα_B-\frac{az}{(x-α_B )^2+z^2}(x-α_B)\right] \) |
| Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \) | |
| 12. |
For point P under the support A, the vertical stress is given by __________ |
| A. | \(σ_z=\frac{q}{aπ} [xα(x-α)] \) |
| B. | \(σ_z=\frac{q}{aπ} \) |
| C. | \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \) |
| D. | \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) |
| Answer» D. \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) | |
| 13. |
For any position of point P subtending angle α with AB, the vertical stress is given by___________ |
| A. | \(σ_z=\frac{q}{aπ} [xα(x-α)] \) |
| B. | \(σ_z=\frac{q}{aπ} \) |
| C. | \(σ_z=\frac{q}{aπ}\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) |
| D. | \(σ_z= \left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) |
| Answer» D. \(σ_z= \left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \) | |
| 14. |
The triangular load is also known as ___________ |
| A. | uniformly distributed load |
| B. | uniformly varying load |
| C. | point load |
| D. | equivalent uniformly distributed load |
| Answer» C. point load | |
| 15. |
The uniformly varying load is __________ in a beam. |
| A. | rate of loading increases linearly from zero |
| B. | rate of loading increases non-linearly from zero |
| C. | equal load at every point |
| D. | equal load only at supports |
| Answer» B. rate of loading increases non-linearly from zero | |