 
			 
			MCQOPTIONS
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				This section includes 12 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 partial differential of normal stress in x-direction in terms of effective stress is given by __________ | 
| A. | ( frac{ _x{ }}{ x} ) | 
| B. | ( frac{ _x{ }}{ x}- _w frac{ h}{ x} ) | 
| C. | ( frac{ _x{ }}{ x}+ _w frac{ h}{ x} ) | 
| D. | ( frac{ _x{ }}{ x}* _w frac{ h}{ x} ) | 
| Answer» D. ( frac{ _x{ }}{ x}* _w frac{ h}{ x} ) | |
| 2. | The normal stress in z-direction in terms of effective stress is given by __________ | 
| A. | <sub>z</sub>= <sub>w</sub>(h-h<sub>e</sub>) | 
| B. | <sub>z</sub>= <sub>z</sub> | 
| C. | <sub>z</sub>= <sub>z</sub> + <sub>w</sub>(h-h<sub>e</sub>) | 
| D. | <sub>z</sub>= <sub>z</sub> - <sub>w</sub>(h-h<sub>e</sub>) | 
| Answer» D. <sub>z</sub>= <sub>z</sub> - <sub>w</sub>(h-h<sub>e</sub>) | |
| 3. | The normal stress in y-direction in terms of effective stress is given by __________ | 
| A. | <sub>y</sub>= <sub>y</sub> - <sub>w</sub>(h-h<sub>e</sub>) | 
| B. | <sub>y</sub>= <sub>y</sub> + <sub>w</sub>(h-h<sub>e</sub>) | 
| C. | <sub>y</sub>= <sub>y</sub> / <sub>w</sub>(h-h<sub>e</sub>) | 
| D. | <sub>y</sub>= <sub>y</sub> * <sub>w</sub>(h-h<sub>e</sub>) | 
| Answer» C. <sub>y</sub>= <sub>y</sub> / <sub>w</sub>(h-h<sub>e</sub>) | |
| 4. | The normal stress in x-direction in terms of effective stress is given by __________ | 
| A. | <sub>x</sub>= <sub>x</sub> + <sub>w</sub>(h-h<sub>e</sub>) | 
| B. | <sub>x</sub>= <sub>x</sub> * <sub>w</sub>(h-h<sub>e</sub>) | 
| C. | <sub>x</sub>= <sub>x</sub> - <sub>w</sub>(h-h<sub>e</sub>) | 
| D. | <sub>x</sub>= <sub>x</sub> | 
| Answer» B. <sub>x</sub>= <sub>x</sub> * <sub>w</sub>(h-h<sub>e</sub>) | |
| 5. | The equilibrium equations in terms of total stresses formed by summing all forces on z-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +Z=0 ) | 
| B. | ( frac{ _{xy}}{ x}+ frac{ _y}{ y}+ frac{ _{zy}}{ z}=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} + =0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» D. ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | |
| 6. | The equilibrium equations in terms of total stresses formed by summing all forces on y-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +X=0 ) | 
| B. | ( frac{ _{xy}}{ x}+ frac{ _y}{ y}+ frac{ _{zy}}{ z}=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» C. ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | |
| 7. | The equilibrium equations in terms of total stresses formed by summing all forces on x-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +X=0 ) | 
| B. | ( frac{ _{xy}}{ x} + frac{ _y}{ y} + frac{ _{zy}}{ z}+Y=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» E. | |
| 8. | The three equations of static equilibrium of the problem of elasticity are not sufficient to solve the six unknown stress components. | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 9. | The problem of elasticity is _________ | 
| A. | strictly determinate | 
| B. | strictly indeterminate | 
| C. | in some cases indeterminate | 
| D. | cannot be classified as determinate or indeterminate | 
| Answer» C. in some cases indeterminate | |
| 10. | The equilibrium equation obtained by summing all forces on z-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +X=0 ) | 
| B. | ( frac{ _{xy}}{ x} + frac{ _y}{ y} + frac{ _{zy}}{ z}+Y=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» D. ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | |
| 11. | The equilibrium equation obtained by summing all forces on y-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +X=0 ) | 
| B. | ( frac{ _{xy}}{ x} + frac{ _y}{ y} + frac{ _{zy}}{ z}+Y=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» C. ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | |
| 12. | The equilibrium equation obtained by summing all forces on x-direction is ________ | 
| A. | ( frac{ _x}{ x} + frac{ _{yx}}{ y} + frac{ _{zx}}{ z} +X=0 ) | 
| B. | ( frac{ _{xy}}{ x} + frac{ _y}{ y} + frac{ _{zy}}{ z}+Y=0 ) | 
| C. | ( frac{ _{xz}}{ x} + frac{ _{yz}}{ y} + frac{ _z}{ z} +Z=0 ) | 
| D. | ( frac{ _x}{ x}+ frac{ _{yx}}{ y} + frac{ _{zx}}{ z} = 0 ) | 
| Answer» B. ( frac{ _{xy}}{ x} + frac{ _y}{ y} + frac{ _{zy}}{ z}+Y=0 ) | |