

MCQOPTIONS
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This section includes 10 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 _y}{ y^2} + frac{ ^2 _y}{ x^2} = frac{ ^2 _{xy}}{ x y} ) |
B. | ( frac{ ^2 _x}{ y^2} + frac{ ^2 _y}{ x^2} = frac{ ^2 _{xy}}{ x y} ) |
C. | ( frac{ ^2 _x}{ y^2} + frac{ ^2 _y}{ x^2} = frac{ ^2 _{xy}}{ x y} ) |
D. | ( frac{ ^2 _x}{ y^2} + frac{ ^2 _y}{ x^2} = frac{ ^2 _{xy}}{ x y} ) |
Answer» C. ( frac{ ^2 _x}{ y^2} + frac{ ^2 _y}{ x^2} = frac{ ^2 _{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 shearing strain component in Z-X plane is ________ |
A. | ( _{xz} = frac{ w}{ y}+ frac{ v}{ z} ) |
B. | ( _{xz} = frac{ v}{ x}- frac{ w}{ y} ) |
C. | ( _{xz} = frac{ u}{ z}+ frac{ w}{ x} ) |
D. | ( _{xz} = frac{ v}{ y}- frac{ w}{ x} ) |
Answer» D. ( _{xz} = frac{ v}{ y}- frac{ w}{ x} ) | |
5. |
The shearing strain component in Y-Z plane is ________ |
A. | ( _{yz} = frac{ w}{ y}+ frac{ v}{ z} ) |
B. | ( _{yz} = frac{ v}{ x}- frac{ w}{ y} ) |
C. | ( _{yz} = frac{ v}{ y}+ frac{ w}{ x} ) |
D. | ( _{yz} = frac{ v}{ y}- frac{ w}{ x} ) |
Answer» B. ( _{yz} = frac{ v}{ x}- frac{ w}{ y} ) | |
6. |
The shearing strain component in X-Y plane is ________ |
A. | ( _{xy}= frac{ v}{ x}+ frac{ u}{ y} ) |
B. | ( _{xy}= frac{ v}{ x}- frac{ u}{ y} ) |
C. | ( _{xy}= frac{ v}{ y}+ frac{ u}{ x} ) |
D. | ( _{xy}= frac{ v}{ y}- frac{ u}{ x} ) |
Answer» B. ( _{xy}= frac{ v}{ x}- frac{ u}{ y} ) | |
7. |
If w is the displacement in z-direction, the linear strain component in is defined by __________ |
A. | ( _Z= frac{ w}{ z} ) |
B. | ( _Z= frac{ z}{ w} ) |
C. | ( _Z= frac{dz}{dw} ) |
D. | <sub>Z</sub>=z+w |
Answer» B. ( _Z= frac{ z}{ w} ) | |
8. |
If v is the displacement in y-direction, the linear strain component in is defined by __________ |
A. | ( _Y= frac{ v}{ y} ) |
B. | ( _Y= frac{ y}{ v} ) |
C. | ( _Y= frac{dy}{dv} ) |
D. | <sub>Y</sub>=v+y |
Answer» B. ( _Y= frac{ y}{ v} ) | |
9. |
If u is the displacement in x-direction, the linear strain component in is defined by __________ |
A. | ( _X= frac{ u}{ x} ) |
B. | ( _X= frac{ x}{ u} ) |
C. | ( _X= frac{dx}{du} ) |
D. | <sub>X</sub>=x+u |
Answer» B. ( _X= frac{ x}{ u} ) | |
10. |
There are __________ strain components for a three dimensional case. |
A. | 2 |
B. | 3 |
C. | 6 |
D. | 8 |
Answer» D. 8 | |