Explore topic-wise MCQs in Soil Mechanics.

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