Which of the following assumptions is NOT true per Terzaghis bearing c...
Terzaghi's Bearing Capacity Theory:
Bearing capacity of soil:
qu = CNc + γDfNq + 0.5γBNγ
Where,
C = Cohesion, Df = Depth of footing, B = Width of footing, γ = unit weight of footing, Nc, Nq, Nγ = Bearing capacity factors
Assumptions:
- The soil is homogeneous and isotropic and its shear strength is represented by Coulomb's equation.
- The strip footing has a rough base, and the problem is essentially two-dimensional.
- The elastic zone has straight boundaries inclined at ψ = ϕ to the horizontal, and the plastic zones fully develop.,
- Pp consists of three components, which can be calculated separately and added, although the critical surface for these components is not identical.
- Failure zones do not extend above the horizontal plane through the base of the footing, i.e. the shear resistance of soil above the base is neglected and the effect of soil around the footing is considered equivalent to a surcharge σ = γ × D [γ = unit weight of soil, D = Depth of foundation
Which of the following assumptions is NOT true per Terzaghis bearing c...
Introduction:
Terzaghi's bearing capacity theory is a widely used method to determine the safe load-bearing capacity of a foundation. It is based on several assumptions, but one of these assumptions is not true.
Explanation:
The given options are:
a) Base of the footing is smooth
b) Depth of foundation is less than or equal to its width
c) Load applied in vertical and non-eccentric
d) Soil is isotropic and homogeneous
Let's analyze each option and determine which one is not true.
a) Base of the footing is smooth:
This assumption is not true according to Terzaghi's bearing capacity theory. In reality, the base of the footing is rarely smooth, and it usually has some roughness or irregularities. Therefore, the correct answer is option 'A'.
b) Depth of foundation is less than or equal to its width:
This assumption is true in Terzaghi's bearing capacity theory. It assumes that the depth of the foundation is either less than or equal to its width. This assumption is made to ensure the stability of the foundation.
c) Load applied in vertical and non-eccentric:
This assumption is true in Terzaghi's bearing capacity theory. It assumes that the load applied to the foundation is vertical and non-eccentric, meaning that the load is applied centrally on the foundation without any eccentricity.
d) Soil is isotropic and homogeneous:
This assumption is true in Terzaghi's bearing capacity theory. It assumes that the soil is isotropic, which means that its properties are the same in all directions, and it is homogeneous, which means that its properties are the same at all points.
Conclusion:
In conclusion, the assumption that is NOT true in Terzaghi's bearing capacity theory is that the base of the footing is smooth. The base of the footing is usually rough and irregular, and this assumption does not hold in reality.
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