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JNTU B.Tech II SOIL MECHANICS Previous Question Paper (December - 2017 - R13)

B.Tech | II | II-II | R13 | December - 2017

Answer PaperPaper Code: 114CDMaximum Marks: 75Time: 3 Hours

Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit.

Part A

125 marks
a

A clay soil has void ratio 0.7 and specific gravity 2.7, estimate its shrinkage limit.

2 marks

Answer

At the shrinkage limit, the soil is fully saturated (S = 1). Using the relation Se = wG, where S=1, e=0.7, and G=2.7:

w = (S × e) / G = (1 × 0.7) / 2.7 = 0.259 or 25.9%
b

A cohesionless soil has maximum and minimum void ratios are 0.8 and 0.4. In a natural state the same soil has a dry unit weight of 16.5 kN/m3. If the specific gravity of soil is 2.65, estimate the density index of soil.

3 marks

Answer

First, calculate the natural void ratio (e). Given dry unit weight γd = 16.5 kN/m³, G = 2.65, and γw = 9.81 kN/m³:

γd = (G × γw) / (1 + e) => 16.5 = (2.65 × 9.81) / (1 + e)

Solving for e, we get e = 0.575. The density index (ID) is:

ID = (emax - e) / (emax - emin) = (0.8 - 0.575) / (0.8 - 0.4) = 0.5625 or 56.25%
c

What is the speciality of Westergaard’s approach as compared to Boussinesq’s analysis?

2 marks

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d

Define pressure bulb and write its importance. Also draw a typical pressure bulb under isolated footing and group of closely placed isolated footings.

3 marks

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e

Write the parameters, which are imparting shear strength in soil.

2 marks

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f

A cohesionless soil has failed at a deviator stress of 200 kPa corresponding to a cell pressure of 100 kPa. Estimate the angle of internal friction of soil.

3 marks

Answer

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g

Write the specifications of standard compaction and also estimate its compaction effort.

2 marks

Answer

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h

Distinguish single drainage and double drainage systems with clear illustrations.

3 marks

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i

A clay soil has undrained cohesion of 50 kPa and unit weight 20 kN/m3, Estimate the depth of tension crack.

2 marks

Answer

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j

List the factors that influence the failure of slopes.

3 marks

Answer

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Part B

210 marks
a

Derive from fundamentals:

e&s = G&w
, where ‘s’ represents degree of saturation, ‘e’ represents void ratio, ‘w’ represents water content, and ‘G’ represents grain specific gravity.

5 marks

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b

The dry unit weight of a sand sample in the loosest state is 13.34 kN/m3 and in the densest state, it is 21.19 kN/m3. Determine the density index of this sand when it has a porosity of 33%. Assume the grain specific gravity as 2.68.

5 marks

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OR
310 marks
a

Define and distinguish the following: (i) Adsorbed and Absorbed water (ii) Discharge velocity and seepage velocity.

4 marks

Answer

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b

An earth dam of 80 m wide is built on an impervious foundation with a horizontal filter at the base near the toe. The permeability of the soil in the horizontal and vertical directions is 8 × 10-3 mm/s and 2 × 10-3 mm/s respectively. The full reservoir level is 40 m above the filter. A flow net constructed for the transformed section of the dam, consists of four flow channels and 12 head drops. Estimate the seepage loss for the entire length of dam.

6 marks

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4

Discuss the assumptions of Boussinesq’s theory. Using Boussinesq’s expression, derive the expression for vertical stress at depth ‘z’ under the centre of a circular area of radius, ‘r’ loaded uniformly with a load ‘q’ at the surface of the mass of soil.

10 marks

Answer

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OR
510 marks
a

Explain how the vertical stress is estimated at a given depth and at the center of uniformly loaded large rectangular area, if vertical stress formula for corner of the area is given.

4 marks

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b

A raft of the size 4 m × 4 m carries a uniform load of 180 kN/m2. Using the point load approximation with four equivalent point loads, calculate the stress increment at a point in the soil which is 4m below the centre of the loaded area.

6 marks

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610 marks
a

Discuss the pore pressure, volume and stress-strain variations in cohesionless soils with neat graphical presentations.

4 marks

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b

A series of box shear (area of box = 3600 mm2) tests were conducted on a soil sample. For the results presented in below table, estimate the ‘cohesion’ and ‘angle of internal friction’ of soil.

Normal stress (kg/cm2)0.501.001.50
Shear stress (kg/cm2)0.350.851.35
6 marks

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OR
710 marks
a

What are the drained and undrained shear tests? Under what conditions should the drained shear strength or the undrained shear strength parameters are used? Explain.

4 marks

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b

The following data relate to a triaxial compression tests performed on a soil sample. Determine the shear parameters such as cohesion and angle of internal friction from the above data using the relation of σ1 and σ3.

Test No.Cell Pressure (σ3), kPaMaximum Deviator Stress (σd), kPa
180175
2150240
3210300
6 marks

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810 marks
a

What is preconsolidation pressure? Discuss its determination from the Casagrande’s graphical method.

5 marks

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b

There is a bed of compressible clay of 4 m thickness with pervious sand on top and impervious rock at the bottom. Consolidation test conducted on an undisturbed specimen of clay of 20 mm thick obtained from the same deposit showed that 90% settlement has reached in 4 hours. Estimate the time in years for the building founded over this deposit to reach 90% of its final settlement.

5 marks

Answer

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OR
910 marks
a

Define the following: (i) Immediate consolidation settlement, (ii) Primary consolidation settlement (iii) Degree of consolidation and (iv) Compression index.

4 marks

Answer

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b

Standard compaction test results on a soil sample as follows:

% Water Content8.310.511.313.413.8
Bulk unit weight of compacted soil (kN/m3)19.821.321.621.220.8
Plot the moisture and dry density curve and obtain the OMC and MDD of the soil.

6 marks

Answer

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1010 marks
a

Explain Fellinius method for location of critical center of rotation.

4 marks

Answer

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b

A gravity retaining wall retains 9 m of a backfill, γ = 18 kN/m3 and φ = 30° with a uniform horizontal surface. Assume the wall interface to be vertical, determine the magnitude and point of application of the total active earth pressure force. Assume water table is at 3m below the backfill surface.

6 marks

Answer

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OR
1110 marks
a

Differentiate both Rankine’s and Coulomb’s earth pressure theories. Explain the limitations of both the theories.

4 marks

Answer

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b

An embankment is inclined at an angle of 35° and its height is 15 m. The angle of shearing resistance is 15° and the cohesion intercept is 200 kN/m2. The unit weight of soil is 18 kN/m3. If the Taylor’s stability number is 0.06, find the factor of safety with respect to cohesion.

6 marks

Answer

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About this paper

This page contains the question paper of SOIL MECHANICS from JNTU for B.Tech AG II II-II, December - 2017, R13.

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