The effective stress strength parameters of soil are c'= 10 kPa and φ = 30o, then shear strength on a plane within the saturated soil mass at a point where total normal stress is 300 KPa and pore water pressure is 150 KPa, will be ________.

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SSC JE CE Previous Year Paper 19 (Held On: 1st March 2017 Evening)
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  1. 90.5 kPa
  2. 96.6 kPa
  3. 101.5 kPa
  4. 105.5 kPa

Answer (Detailed Solution Below)

Option 2 : 96.6 kPa
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Detailed Solution

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Concept:

Terzaghi established that the normal stresses which control the shear strength of the soil are effective stresses. Therefore, the shear strength of the soil can be written as 

Shear strength, \(S\; = \;c' + \bar\sigma \;tan\phi '\)

where c' = cohesion intercept in terms of effective stress

\(\phi'\) = the angle of shearing resistance in terms of effective stress

\(\bar\sigma = \) effective normal stress

Given:

c' = 10 kPa

φ = 30o

\(\sigma = \) 300 kPa

u = 150 kPa

Calculations:

\(\bar\sigma = \) \(\sigma -u=300-150=150\) kPa

S = 10 + (150) x tan30o

= 96.6 KPa

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