MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. |
___________ is a compatibility equation. |
| A. | \(\frac{∂^2 ε_y}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| B. | \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| C. | \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| D. | \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| Answer» C. \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) | |
| 2. |
The compatibility equations are results of application of stress equations. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
The linear strain of a diagonal is equal to half the sum shearing strain components. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 4. |
The strain tensor is given by ____________ |
| A. | \(\begin{pmatrix}ε_{xz} & ε_{xy} & ε_{xx} \\ε_{yx} & ε_{yz} & ε_{yy} \\ε_{zx} & ε_{zy} & ε_{zz}\end{pmatrix}\) |
| B. | \(\begin{pmatrix}ε_{xy} & ε_{xx} & ε_{xz}\\ε_{yx} & ε_{yy} & ε_{yz}\\ε_{zy} & ε_{zz} & ε_{zz}\end{pmatrix}\) |
| C. | \(\begin{pmatrix}ε_{xx} & ε_{xy} & ε_{xz}\\ε_{yx} & ε_{yy} & ε_{yz}\\ε_{zx} & ε_{zy} & ε_{zz}\end{pmatrix}\) |
| D. | \(\begin{pmatrix}ε_{xx} & ε_{xy} & ε_{xz} \\ε_{yy} & ε_{yx} & ε_{yz} \\ε_{zz} & ε_{zy} & ε_{zx}\end{pmatrix}\) |
| Answer» D. \(\begin{pmatrix}ε_{xx} & ε_{xy} & ε_{xz} \\ε_{yy} & ε_{yx} & ε_{yz} \\ε_{zz} & ε_{zy} & ε_{zx}\end{pmatrix}\) | |
| 5. |
The shearing strain component in Z-X plane is ________ |
| A. | \(Γ_{xz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \) |
| B. | \(Γ_{xz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \) |
| C. | \(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \) |
| D. | \(Γ_{xz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \) |
| Answer» D. \(Γ_{xz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \) | |
| 6. |
The shearing strain component in Y-Z plane is ________ |
| A. | \(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \) |
| B. | \(Γ_{yz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \) |
| C. | \(Γ_{yz} =\frac{∂v}{∂y}+\frac{∂w}{∂x} \) |
| D. | \(Γ_{yz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \) |
| Answer» B. \(Γ_{yz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \) | |
| 7. |
The shearing strain component in X-Y plane is ________ |
| A. | \(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \) |
| B. | \(Γ_{xy}=\frac{∂v}{∂x}-\frac{∂u}{∂y} \) |
| C. | \(Γ_{xy}=\frac{∂v}{∂y}+\frac{∂u}{∂x} \) |
| D. | \(Γ_{xy}=\frac{∂v}{∂y}-\frac{∂u}{∂x} \) |
| Answer» B. \(Γ_{xy}=\frac{∂v}{∂x}-\frac{∂u}{∂y} \) | |
| 8. |
If w is the displacement in z-direction, the linear strain component in is defined by __________ |
| A. | \(ε_Z=\frac{∂w}{∂z}\) |
| B. | \(ε_Z=\frac{∂z}{∂w}\) |
| C. | \(ε_Z=\frac{dz}{dw}\) |
| D. | εZ=z+w |
| Answer» B. \(ε_Z=\frac{∂z}{∂w}\) | |
| 9. |
If v is the displacement in y-direction, the linear strain component in is defined by __________ |
| A. | \(ε_Y=\frac{∂v}{∂y}\) |
| B. | \(ε_Y=\frac{∂y}{∂v}\) |
| C. | \(ε_Y=\frac{dy}{dv}\) |
| D. | εY=v+y |
| Answer» B. \(ε_Y=\frac{∂y}{∂v}\) | |
| 10. |
If u is the displacement in x-direction, the linear strain component in is defined by __________ |
| A. | \(ε_X=\frac{∂u}{∂x}\) |
| B. | \(ε_X=\frac{∂x}{∂u}\) |
| C. | \(ε_X=\frac{dx}{du}\) |
| D. | εX=x+u |
| Answer» B. \(ε_X=\frac{∂x}{∂u}\) | |
| 11. |
There are __________ strain components for a three dimensional case. |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |