Download JNTUA M.Tech 1st Sem 2017 Feb 9D12102 Theoretical Soil Mechanics Question Paper

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Code: 9D12102

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M.Tech I Semester Regular & Supplementary Examinations January/February 2017

THEORETICAL SOIL MECHANICS

(Geotechnical Engineering)

Time: 3 hours

Max. Marks: 60

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Answer any FIVE questions

All questions carry equal marks

1. (a) Mention any two examples where plane strains are encountered in geotechnical engineering.
   (b) Derive the compatibility equation from basic principle in terms of stress for a 2D problem.
2. At a point in a soil mass, the stresses are as follows:
   

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   σ_x = 25 N/m²; τ_xy = 30 kN/m²
   σ_y = 40 N/m²; τ_yz = -6 kN/m²
   σ_z = 25 N/m²; τ_xz = -10 kN/m²
   Determine the principle stresses and also the octahedral normal and shear stresses.
3. A clay sanitary pipe is located at a point C which is at a depth of 5 m below the ground. The pipe can withstand maximum external pressure of 100 kN/m². A storage yard of size 5 m x 2.5 m is to be constructed which will exert a pressure of 1800 kN/m² at the ground level as shown in figure below. With necessary calculations, check whether the storage pipe can sustain the pressure due to the construction of storage yard.
   

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   2. 5 m
   1800 kN/m²
   1800 kN/m²
   GL
   

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   5 m
   C
   5 m
   2. 5 m
   PLAN
   

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   5 m
   2. 5 m
   C
   SECTION
   
   

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4. Mention Von Mises yield function. Explain Von Mises yield criteria with a neat sketch and also explain how to determine octahedral normal stress from the yield surface.
5. Compare Mohr-Coulomb, Tresca and Von Mises yield functions on the octahedral plane.
6. Explain time domain rule and frequency domain rule for linear rheological models.
7. Explain the following terms:
   

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   (a) Plain strain.
   (b) Plane stress.
   (c) Density hardening.
   (d) Principle of superposition.
8. Applying upper bound theorem, deduce the ultimate bearing capacity (qū) of a strip footing resting on the surface of a clayey deposit ($ = 0) is q_u = 6.28 C_u.

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