Soil Mechanics and Foundation Sheet 32

1) Question.

The upstream slope of an earth dam under steady seepage condition is
Answer.
- 1
  
  equipotential lne
- 2
  
  phreatic line
- 3
  
  flow-line
- 4
  
  seepage line
Answer: 1

Explanation:
2) Question.

A cast-in-situ bored pile 0.50 m diameter and 10 m deep is placed in a purely cohesive soil. If the cohesion of the soil is $4 t / m^{2}$ and adhesion between the pile and the soil is half the value of cohesion, then the ultimate bearing capacity of the pile is given by
Answer.
- 1
  
  $\frac{19 π}{4} t o n n e s$
- 2
  
  $\frac{29 π}{4} t o n n e s$
- 3
  
  $\frac{39 π}{4} t o n n e s$
- 4
  
  $\frac{49 π}{4} t o n n e s$
Answer: 4

Explanation:
3) Question.

The determination of ultimate bearing capacity on an eccentrically loaded square footing depends upon the concept of useful
Answer.
- 1
  
  square
- 2
  
  width
- 3
  
  triangle
- 4
  
  circle
Answer: 2

Explanation:
For an eccentrically loaded footing, the effective area of the footing is considered by using the effective width.

If the eccentricity is e, the effective width is:

B' = B − 2e

Similarly, the effective length can be:

L' = L − 2e

For a square footing, the concept of effective width is used to determine the bearing capacity under eccentric loading.

⭐ Exam Point

Eccentric loading → Effective area → Effective width and effective length

For one-directional eccentricity:

B' = B − 2e

Therefore:

✅ Answer: B. Width
4) Question.

A building is supported on shallow foundation in sand at 1 m below ground level. The water table is at 5 m below the ground surface. For whic one of the following foundations will the net bearing capacity of the soil be a maximum?
Answer.
- 1
  
  2 m wide strip footing
- 2
  
  2 m x 2 m square footing
- 3
  
  2 m diameter circular footing
- 4
  
  4 m x 1 m rectangular footing
Answer: 1

Explanation:
5) Question.

Terzaghi's equation of ultimate bearing capacity for a strip footing may be used for square footing resting on pure clay soil with the correction factor
Answer.
- 1
  
  0.4
- 2
  
  0.6
- 3
  
  1.2
- 4
  
  1.3
Answer: 4

Explanation:
6) Question.
Two specimens of clay A and B are tested in a consolidation apparatus.
If mvA=3.6 x 10-4 m2/kN andmvB=1.8 x 10-4 m2/<
Answer.

1
0.0625

2
0.25

3
1.0

4
4.0

Answer: 4

Explanation:

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7) Question.
Which one of the following statements provides the best argument that direct shear tests are not suited for determining shear parameters of a clay soil?
Answer.
- 1
  Failure plane is not the weakest plane.
- 2
  Pore pressures developed cannot be measured.
- 3
  Satisfactory strain levels cannot be maintained.
- 4
  Adequate consolidation cannot be ensured.
Answer: 2

Explanation:
8) Question.
The relationship between water content (w%) and number of blows (N) in soils, as obtained from Casagrande's liquid limit device, is given by $w = 20 - \log_{10} N$

the liquid limit of the soil is
Answer.
- 1
  
  15.6%
- 2
  
  16.6%
- 3
  
  17.6%
- 4
  
  18.6%
Answer: 4

Explanation:
9) Question.

Given that for a single degree of freedom system,

k = stiffness coefficient

m = mass of machine and foundation,

critical damping is best defined by the expression
Answer.
- 1
  
  $2 \sqrt{k m}$
- 2
  
  $2 k \sqrt{m}$
- 3
  
  $2 πk \sqrt{\frac{1}{m}}$
- 4
  
  $\frac{1}{2 π} \sqrt{\frac{k}{m}}$
Answer: 1

Explanation:
10) Question.

The total settlement of compressible soil stratum 2 m deep and having a coeficient of volume compressibility of $0.02 c m^{2} / k g$ under a pressure increment of $2 k g / c m^{2}$ will be
Answer.
- 1
  
  2 cm
- 2
  
  4 cm
- 3
  
  8 cm
- 4
  
  10 cm
Answer: 3

Explanation:

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