MCQOPTIONS
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MCQOPTIONS
This section includes 8 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 compatibility equation in terms of plane stress case is given by ________ |
| A. | \((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂z^2})=0\) |
| B. | \((\frac{∂^2}{∂y^2} +\frac{∂^2}{∂z^2})(σ_y+σ_z )=0\) |
| C. | \((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂y^2})(σ_x+σ_y )=0\) |
| D. | \((\frac{∂^2}{∂x^2} +\frac{∂^2}{∂z^2})(σ_x+σ_z )=0\) |
| Answer» E. | |
| 2. |
For two dimensional case, for both plane stress as well as plain strain case the compatibility equation is _______ |
| A. | \(\frac{∂^2 ε_x}{∂z^2} +\frac{∂^2 ε_z}{∂x^2} =\frac{∂^2 Γ_{xz}}{∂x∂z}\) |
| B. | \(\frac{∂^2 ε_z}{∂z^2} +\frac{∂^2 ε_y}{∂x^2} =\frac{∂^2 Γ_{zy}}{∂z∂y}\) |
| C. | \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} =\frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| D. | \(\frac{∂^2 ε_z}{∂z^2} +\frac{∂^2 ε_y}{∂x^2} =0\) |
| Answer» B. \(\frac{∂^2 ε_z}{∂z^2} +\frac{∂^2 ε_y}{∂x^2} =\frac{∂^2 Γ_{zy}}{∂z∂y}\) | |
| 3. |
For both plane stress as well as plain strain case the equilibrium equation in z-direction is _______ |
| A. | \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_z}{∂z}+γ=0\) |
| B. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}+γ=1\) |
| C. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y}+γ=0\) |
| D. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}=0\) |
| Answer» B. \(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}+γ=1\) | |
| 4. |
For both plane stress as well as plain strain case the equilibrium equation in x-direction is _______ |
| A. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y}=0\) |
| B. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}+X=1\) |
| C. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y}+X=0\) |
| D. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{zx}}{∂z}=0\) |
| Answer» E. | |
| 5. |
The shear stress τxz in terms of stress function is given by __________ |
| A. | \(\frac{∂Φ}{∂z}-γx\) |
| B. | \(-\frac{∂^2Φ}{∂x∂z}-γx\) |
| C. | \(\frac{∂^2Φ}{∂x^2} -γx\) |
| D. | \(\frac{∂Φ}{∂x}-γx\) |
| Answer» C. \(\frac{∂^2Φ}{∂x^2} -γx\) | |
| 6. |
The σz in terms of stress function is given by __________ |
| A. | \(\frac{∂Φ}{∂z}\) |
| B. | \(\frac{∂^2 Φ}{∂z^2}\) |
| C. | \(\frac{∂^2 Φ}{∂x^2}\) |
| D. | \(\frac{∂Φ}{∂x}\) |
| Answer» D. \(\frac{∂Φ}{∂x}\) | |
| 7. |
The σx in terms of stress function is given by __________ |
| A. | \(\frac{∂Φ}{∂z}\) |
| B. | \(\frac{∂^2 Φ}{∂z^2}\) |
| C. | \(\frac{∂^2 Φ}{∂x2}\) |
| D. | \(\frac{∂Φ}{∂x}\) |
| Answer» C. \(\frac{∂^2 Φ}{∂x2}\) | |
| 8. |
The stress function was introduced by __________ |
| A. | G.B Airy |
| B. | Terzaghi |
| C. | Darcy |
| D. | Meyerhof |
| Answer» B. Terzaghi | |