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Question

Assertion (A): Terzaghi's bearing capacity theory overestimates the bearing capacity of footings.
Reason (R): Terzaghi's theory neglects the shearing resistance of rupture surface in the soil above the foundation level.

A
both A and R are true and R is the correct explanation of A
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B
both A and R are true but R is not a correct explanation of A
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C
A is true but R is false
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D
A is false but R is true
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Solution

The correct option is D A is false but R is true
Terzaghi's theory neglects the shearing resistance of rupture surface in the soil above the foundation level so this theory underestimates the bearing capacity of footing.
Terzaghi considered a continuous footing of width B placed at a depth of D below the ground surface. In the derivation of the equation the following assumptions were made.
  • The soil is homogeneous, isotropic and Coulumb's law of shear strength is valid.
  • The footing is continuous and has a rough base.
  • Failure zone does not extend above the base of the foundation.
  • Shear resistance of the soil above the base of the foundation is neglected.
  • The soil above the base of the foundation is replaced by a uniform surcharge.
  • Principle of superposition holds good.

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