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The ultimate beanng capacity of a strip footing of 2 m width and depth of its base at 1.5m from ground level rests on sandy soil.The properties of the soil are Yd=18kn/m^3,phi=38 degree and c=0.If the groundwater table is located at 0�5 m from ground surface the
percentage reduction in bearing capacity encountered is
[Use Terzaghi s bearing capacity theory, Nq= 60; Ny = 75,Ysat=20kn/m^3, Yw=10kn/m^3
ANS 36.3 Percent?
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The ultimate beanng capacity of a strip footing of 2 m width and depth...
Calculation of Ultimate Bearing Capacity:

Given:
Strip footing width (B) = 2 m
Depth of base (D) = 1.5 m
Yd (dry unit weight of soil) = 18 kN/m^3
ϕ (angle of internal friction) = 38 degrees
c (cohesion) = 0
Groundwater table depth (GW) = 0.5 m
Nq = 60
Ny = 75
Ysat (saturated unit weight) = 20 kN/m^3
Yw (unit weight of water) = 10 kN/m^3

The ultimate bearing capacity of a strip footing resting on sandy soil can be calculated using Terzaghi's bearing capacity theory:

1. Total vertical stress (σ):
σ = Yd × D + Yw × GW
σ = 18 × 1.5 + 10 × 0.5
σ = 27 + 5
σ = 32 kN/m^2

2. Effective vertical stress (σ'):
σ' = σ - Yw × GW
σ' = 32 - 10 × 0.5
σ' = 32 - 5
σ' = 27 kN/m^2

3. Bearing capacity factor (Nc):
Nc = (Nq - 1) / (Nq + 1)
Nc = (60 - 1) / (60 + 1)
Nc = 0.966

4. Depth factor (Nd):
Nd = (Ny - 1) / (Ny + 1)
Nd = (75 - 1) / (75 + 1)
Nd = 0.987

5. Shape factor (Ns):
Ns = 1 + (B / D) × (Nq / Ny) × (Nc - 1)
Ns = 1 + (2 / 1.5) × (60 / 75) × (0.966 - 1)
Ns = 1 + 1.333 × 0.8 × (-0.034)
Ns = 1 - 0.036
Ns = 0.964

6. Ultimate bearing capacity (qult):
qult = Nc × Nq × σ' + 0.5 × γ × B × Nq × Nd × Ns
qult = 0.966 × 60 × 27 + 0.5 × 20 × 2 × 60 × 0.987 × 0.964
qult = 1552.532 + 1429.145
qult = 2981.677 kN/m^2

Calculation of Percentage Reduction in Bearing Capacity:

The bearing capacity with the groundwater table at 0.5 m depth is qult = 2981.677 kN/m^2.

Now, for the bearing capacity with the groundwater table at 0 m depth:

1. Total vertical stress (σ):
σ = Yd × D
σ = 18 × 1.5
σ = 27 kN/m^2

2. Effective vertical stress (σ'):
σ
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The ultimate beanng capacity of a strip footing of 2 m width and depth of its base at 1.5m from ground level rests on sandy soil.The properties of the soil are Yd=18kn/m^3,phi=38 degree and c=0.If the groundwater table is located at 0�5 m from ground surface thepercentage reduction in bearing capacity encountered is [Use Terzaghi s bearing capacity theory, Nq= 60; Ny = 75,Ysat=20kn/m^3, Yw=10kn/m^3ANS 36.3 Percent?
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The ultimate beanng capacity of a strip footing of 2 m width and depth of its base at 1.5m from ground level rests on sandy soil.The properties of the soil are Yd=18kn/m^3,phi=38 degree and c=0.If the groundwater table is located at 0�5 m from ground surface thepercentage reduction in bearing capacity encountered is [Use Terzaghi s bearing capacity theory, Nq= 60; Ny = 75,Ysat=20kn/m^3, Yw=10kn/m^3ANS 36.3 Percent? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The ultimate beanng capacity of a strip footing of 2 m width and depth of its base at 1.5m from ground level rests on sandy soil.The properties of the soil are Yd=18kn/m^3,phi=38 degree and c=0.If the groundwater table is located at 0�5 m from ground surface thepercentage reduction in bearing capacity encountered is [Use Terzaghi s bearing capacity theory, Nq= 60; Ny = 75,Ysat=20kn/m^3, Yw=10kn/m^3ANS 36.3 Percent? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ultimate beanng capacity of a strip footing of 2 m width and depth of its base at 1.5m from ground level rests on sandy soil.The properties of the soil are Yd=18kn/m^3,phi=38 degree and c=0.If the groundwater table is located at 0�5 m from ground surface thepercentage reduction in bearing capacity encountered is [Use Terzaghi s bearing capacity theory, Nq= 60; Ny = 75,Ysat=20kn/m^3, Yw=10kn/m^3ANS 36.3 Percent?.
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