Explore topic-wise MCQs in Soil Mechanics.

This section includes 15 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.

Find the influence factor for the vertical pressure at depth 5m for a uniformly loaded circular area of 80 kN/m2 load and radius of 1m.

A. 0.6212
B. 0.0571
C. 0.0328
D. 0.0624
Answer» C. 0.0328
Discussion
2.

Find the vertical pressure at depth 5m for a uniformly loaded circular area of 80 kN/m2 load and radius of 5m.

A. 51.72 kN/m<sup>2</sup>
B. 54.12 kN/m<sup>2</sup>
C. 78.325 kN/m<sup>2</sup>
D. 12.24 kN/m<sup>2</sup>
Answer» B. 54.12 kN/m<sup>2</sup>
Discussion
3.

For a uniformly loaded rectangular area, the Newmark s influence factor given by ___________

A. (K= left[ frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}* frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1} frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1} right] )
B. (K= frac{1}{4 } left[ frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}* frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1} frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1} right] )
C. (K= frac{1}{4 } )
D. (K= frac{q}{4 } left[ frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}* frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1} frac{20.20.4 sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1} right] )
Answer» C. (K= frac{1}{4 } )
Discussion
4.

The Westergaard s influence factor is given by _____________

A. (K_W= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} )
B. (K_W= frac{Q}{z^2} )
C. (K_W= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{5}{2}} frac{Q}{z^2} )
D. (K_W= frac{1}{ left[1+2( frac{r}{z})^2 right]^3} frac{Q}{z^2} )
Answer» B. (K_W= frac{Q}{z^2} )
Discussion
5.

The Westergaard s equation is given by ___________

A. ( _z= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} )
B. ( _z= frac{1}{2 left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} )
C. ( _z= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} frac{Q}{z^2} )
D. ( _z= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} )
Answer» D. ( _z= frac{1}{ left[1+2( frac{r}{z})^2 right]^ frac{3}{2}} )
Discussion
6.

The influence factor for the vertical stress under the corner of a uniformly loaded rectangular area of size 1m*2m at depth 5m and load of 80 kN/m2 is given by ___________

A. 0.6212
B. 0.7465
C. 0.0328
D. 0.0624
Answer» D. 0.0624
Discussion
7.

The vertical stress under the corner of a uniformly loaded rectangular area of size 2m*4m at depth 5m and load of 80 kN/m2 is given by ___________

A. 6.22 kN/m<sup>2</sup>
B. 7.45 kN/m<sup>2</sup>
C. 8.12 kN/m<sup>2</sup>
D. 9.23 kN/m<sup>2</sup>
Answer» C. 8.12 kN/m<sup>2</sup>
Discussion
8.

The vertical stress under the corner of a uniformly loaded rectangular area of size a, b at depth z and m=a/z, n=b/z is given by ___________

A. ( _z= frac{2q }{ z} frac{1}{ left[1+( frac{x}{z})^2 right]^2} )
B. ( _z= frac{q}{4 } left[ frac{2mn sqrt{(m^2+n^2+1)}}{m^2+n^2+m^2 n^2+1} right] )
C. ( _z= frac{q}{4 } left[ frac{2mn sqrt{(m^2+n^2+1)}}{m^2+n^2+m^2 n^2+1}* frac{m^2+n^2+2}{m^2+n^2+1}+tan^{-1} u2061 frac{2mn sqrt{(m^2+n^2+1)}}{m^2+n^2+m^2 n^2+1} right] )
D. ( _z=q left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
Answer» D. ( _z=q left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
Discussion
9.

In Newmark s influence chart method, the point below which pressure is required should lie within the loaded area.

A. True
B. False
Answer» C.
Discussion
10.

If a uniformly loaded circular area is divided into 44 sectors, then the influence value if is given by ___________

A. ( frac{1}{44} left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
B. (44 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
C. (44 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{5}{2} right] )
D. ( frac{1}{44} left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{5}{2} right] )
Answer» B. (44 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
Discussion
11.

If the influence value (i_f= frac{1}{35} left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] ) for a uniformly loaded circular area, then the circular area is divided into _________ sectors.

A. 20
B. 35
C. 7
D. 14
Answer» C. 7
Discussion
12.

If a uniformly loaded circular area is divided into 20 sectors, then the influence value if is given by ___________

A. ( frac{1}{20} left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
B. (20 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
C. (20 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{5}{2} right] )
D. ( frac{1}{20} left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{5}{2} right] )
Answer» B. (20 left[1- left[ frac{1}{1+( frac{a}{z})^2} right]^ frac{3}{2} right] )
Discussion
13.

The Newmark s influence chart consists of _________

A. a single circle only
B. a number of circles and radiating lines
C. bar diagram
D. small rectangular unit areas
Answer» C. bar diagram
Discussion
14.

_________ is more accurate method of determining the vertical stress at any point.

A. Isobar chart
B. equivalent point load method
C. Influence chart
D. Fenske s chart
Answer» D. Fenske s chart
Discussion
15.

_________ chart is used to find the vertical stress on Westergaard s equation.

A. Influence chart
B. Isocurve chart
C. Isobar chart
D. Fenske s chart
Answer» B. Isocurve chart
Discussion