MCQOPTIONS
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MCQOPTIONS
This section includes 7 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 equilibrium equation in Z-direction in terms of effected stress for a saturated soil body is given by __________ |
| A. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}++γ_w \frac{∂h}{∂z}=0\) |
| B. | \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y{‘}}{∂y}+\frac{∂τ_{zy}}{∂z}+γ_w \frac{∂h}{∂z}=0\) |
| C. | \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+γ’+γ_w \frac{∂h}{∂z}=0\) |
| D. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}=0\) |
| Answer» D. \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}=0\) | |
| 2. |
The equilibrium equation in Y-direction in terms of effected stress for a saturated soil body is given by __________ |
| A. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}+X=0\) |
| B. | \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y{‘}}{∂y}+\frac{∂τ_{zy}}{∂z}+γ_w \frac{∂h}{∂y}=0\) |
| C. | \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+Z=0\) |
| D. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}=0\) |
| Answer» C. \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+Z=0\) | |
| 3. |
The equilibrium equation in X-direction in terms of effected stress for a saturated soil body is given by __________ |
| A. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}=0\) |
| B. | \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y{‘}}{∂y}+\frac{∂τ_{zy}}{∂z}+γ_w \frac{∂h}{∂x}=0\) |
| C. | \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+γ_w \frac{∂h}{∂x}=0\) |
| D. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}+γ_w \frac{∂h}{∂x}=0\) |
| Answer» E. | |
| 4. |
The matrix form of the boundary condition equations is _____________ |
| A. | \(\begin{bmatrix}\overline{X}\\\overline{Y}\\\overline{Z}\end{bmatrix} =\begin{bmatrix}σ_{xx} & τ_{xy} & τ_{xz} \\τ_{yx} & σ_{yy} & τ_{yz} \\τ_{zx} & τ_{zy} & σ_{zz}\end{bmatrix}\begin{bmatrix}l \\m \\n\end{bmatrix} \) |
| B. | \(\begin{bmatrix}\overline{X}\\\overline{Y}\\\overline{Z}\end{bmatrix} =\begin{bmatrix}σ_{zz} & τ_{xy} & τ_{xz} \\τ_{yx} & σ_{yy} & τ_{yz} \\τ_{zx} & τ_{zy} & σ_{xx}\end{bmatrix}\begin{bmatrix}l \\m \\n\end{bmatrix} \) |
| C. | \(\begin{bmatrix}\overline{X}\\\overline{Y}\\\overline{Z}\end{bmatrix} =\begin{bmatrix}σ_{xx} & τ_{zz} & τ_{xz} \\τ_{yx} & σ_{yy} & τ_{yz} \\τ_{zx} & τ_{zy} & σ_{zz}\end{bmatrix}\begin{bmatrix}l \\m \\n\end{bmatrix} \) |
| D. | \(\begin{bmatrix}\overline{X}\\\overline{Y}\\\overline{Z}\end{bmatrix} =\begin{bmatrix}σ_{xx} & τ_{yy} & τ_{xz} \\τ_{yx} & σ_{yy} & τ_{yz} \\τ_{zx} & τ_{yy} & σ_{zz}\end{bmatrix}\begin{bmatrix}l \\m \\n\end{bmatrix} \) |
| Answer» B. \(\begin{bmatrix}\overline{X}\\\overline{Y}\\\overline{Z}\end{bmatrix} =\begin{bmatrix}σ_{zz} & τ_{xy} & τ_{xz} \\τ_{yx} & σ_{yy} & τ_{yz} \\τ_{zx} & τ_{zy} & σ_{xx}\end{bmatrix}\begin{bmatrix}l \\m \\n\end{bmatrix} \) | |
| 5. |
The boundary condition equation for Z, where Z is the component of the surface force in z-direction per unit area is ___________ |
| A. | Z = σy m+τyz n+τxy l |
| B. | Z = σz n+τzx l+τzy m |
| C. | Z = σx l+τyx m+τzx n |
| D. | Z = σy l+τyx m+τzx n |
| Answer» C. Z = σx l+τyx m+τzx n | |
| 6. |
The boundary condition equation for Y, where Y is the component of the surface force in y-direction per unit area is ___________ |
| A. | Y = σy m+τyz n+τxy l |
| B. | Y = σz n+τzx l+τzy m |
| C. | Y = σx l+τyx m+τzx n |
| D. | Y = σy l+τyx m+τzx n |
| Answer» B. Y = σz n+τzx l+τzy m | |
| 7. |
The boundary condition equation for X, where X is the component of the surface force in x-direction per unit area is ___________ |
| A. | X = σy m+τyz n+τxy l |
| B. | X = σz n+τzx l+τzy m |
| C. | X = σx l+τyx m+τzx n |
| D. | X = σy l+τyx m+τzx n |
| Answer» D. X = σy l+τyx m+τzx n | |