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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 shear stress component in xz-plane in Cartesian coordinates for horizontal line load is ___________ |
A. | ( _{xz}= frac{2Q}{xzsin cos u2061 } ) |
B. | ( _{xz}= frac{2Qxz^2}{ (x^2+z^2)^2} ) |
C. | ( _{xz}= frac{2Qx^3}{ (x^2+z^2)^2} ) |
D. | ( _{xz}= frac{2Qx^2 z}{ (x^2+z^2)^2} ) |
Answer» E. | |
2. |
The stress component in x-direction on a horizontal plane in Cartesian coordinates for horizontal line load is ___________ |
A. | ( _x= frac{2Q}{xzsin cos u2061 } ) |
B. | ( _x= frac{2Qxz^2}{ (x^2+z^2)^2} ) |
C. | ( _x= frac{2Qx^3}{ (x^2+z^2)^2} ) |
D. | ( _x= frac{2Qx^2 z}{ (x^2+z^2)^2} ) |
Answer» D. ( _x= frac{2Qx^2 z}{ (x^2+z^2)^2} ) | |
3. |
The relation between the shear stress component in xz-plane in Cartesian coordinates and polar coordinates for vertical line load is ___________ |
A. | <sub>xz</sub>= <sub>r</sub> tan<sup>2 u2061</sup> |
B. | <sub>xz</sub>= <sub>r</sub> cosec<sup>2 u2061</sup> |
C. | <sub>xz</sub>= <sub>r</sub> sin cos u2061 |
D. | <sub>xz</sub>= <sub>r</sub> sin<sup>2 u2061</sup> |
Answer» D. <sub>xz</sub>= <sub>r</sub> sin<sup>2 u2061</sup> | |
4. |
The relation between the stress component in z-direction on a horizontal plane in Cartesian coordinates and polar coordinates for vertical line load is ___________ |
A. | <sub>z</sub>= <sub>r</sub> cos<sup>2 u2061</sup> |
B. | <sub>z</sub>= <sub>r</sub> cosec<sup>2 u2061</sup> |
C. | <sub>z</sub>= <sub>r</sub> cos u2061 |
D. | <sub>z</sub>= <sub>r</sub> sin<sup>2 u2061</sup> |
Answer» B. <sub>z</sub>= <sub>r</sub> cosec<sup>2 u2061</sup> | |
5. |
The relation between the stress component in x-direction on a horizontal plane in Cartesian coordinates and polar coordinates for vertical line load is ___________ |
A. | <sub>x</sub>= <sub>r</sub> tan<sup>2 u2061</sup> |
B. | <sub>x</sub>= <sub>r</sub> cosec<sup>2 u2061</sup> |
C. | <sub>x</sub>= <sub>r</sub> cos u2061 |
D. | <sub>x</sub>= <sub>r</sub> sin<sup>2 u2061</sup> |
Answer» E. | |
6. |
The compatibility equation in terms of stress components in polar coordinates are given by ____________ |
A. | (( frac{ ^2}{ r^2} + frac{1}{r} frac{ }{ r}+ frac{1}{r^2} frac{ ^2}{ ^2} )( _r+ _ )=0 ) |
B. | (( frac{ ^2}{ r^2} + frac{1}{r} frac{ }{ r}+ frac{1}{r^2} frac{ ^2}{ ^2} )( _ )=0 ) |
C. | (( frac{ ^2}{ r^2} + frac{1}{r} frac{ }{ r}+ frac{1}{r^2} frac{ ^2}{ ^2} )( _r )=0 ) |
D. | (( frac{ ^2}{ r^2} + frac{1}{r} frac{ }{ r}+ frac{1}{r^2} frac{ ^2}{ ^2} )( _r+ _ )=1 ) |
Answer» B. (( frac{ ^2}{ r^2} + frac{1}{r} frac{ }{ r}+ frac{1}{r^2} frac{ ^2}{ ^2} )( _ )=0 ) | |
7. |
The equilibrium equation in polar coordinates is given by _____________ |
A. | ( frac{1}{r} frac{ _{r }}{ }+ frac{ _r- _ }{r}=0 ) |
B. | ( frac{ _r}{ r}+ frac{ _{r }}{ }+ frac{ _r- _ }{r}=0 ) |
C. | ( frac{ _r}{ r}+ frac{1}{r} frac{ _{r }}{ }+ frac{ _r- _ }{r}=0 ) |
D. | ( frac{ _r}{ r}+ frac{1}{r} frac{ _{r }}{ }=0 ) |
Answer» D. ( frac{ _r}{ r}+ frac{1}{r} frac{ _{r }}{ }=0 ) | |