Net Bearing Capacity of Long Footing in Foundation Stability Analysis Calculator

✖Alpha Footing Factor is 1.0 for strip footings and 1.3 for circular and square footings.ⓘ Alpha Footing Factor [α_f]			+10% -10%
✖Undrained Shear Strength in Soil within zone 1 pile diameter above and 2 diameters below pile tip.ⓘ Undrained Shear Strength in Soil [C_u]			+10% -10%
✖Bearing Capacity Factor is empirically derived factors used in a bearing capacity equation that usually correlates with the angle of internal friction of the soil.ⓘ Bearing Capacity Factor [N_c]			+10% -10%
✖Effective Vertical Shear Stress in soil is the total vertical stress acting at a point below the ground surface is due to the weight of everything lying above: soil, water, and surface loading.ⓘ Effective Vertical Shear Stress in Soil [σ_vo]			+10% -10%
✖Bearing Capacity Factor Nq used in a bearing capacity equation that correlates with the angle of internal friction of soil.ⓘ Bearing Capacity Factor Nq [N_q]			+10% -10%
✖Beta Footing Factor is 0.5 for strip footings, 0.4 for square footings, and 0.6 for circular footings.ⓘ Beta Footing Factor [β_f]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Value of Nγ is bearing capacity factor.ⓘ Value of Nγ [N_γ]			+10% -10%

✖Net Bearing Capacity is the maximum net pressure intensity to which the soil at the base of the foundation can be subjected without risk of shear failure.ⓘ Net Bearing Capacity of Long Footing in Foundation Stability Analysis [q_u]

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Formula

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Net Bearing Capacity of Long Footing in Foundation Stability Analysis

Formula

`"q"_{"u"} = ("α"_{"f"}*"C"_{"u"}*"N"_{"c"})+("σ"_{"vo"}*"N"_{"q"})+("β"_{"f"}*"γ"*"B"*"N"_{"γ"})`

Example

`"45.06243kPa"=("1.3"*"0.015kPa"*"3.1")+("0.001kPa"*"1.98")+("0.5"*"18kN/m³"*"2m"*"2.5")`

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Net Bearing Capacity of Long Footing in Foundation Stability Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ)
q_u = (α_f*C_u*N_c)+(σ_vo*N_q)+(β_f*γ*B*N_γ)
This formula uses 10 Variables

Variables Used

Net Bearing Capacity - (Measured in Pascal) - Net Bearing Capacity is the maximum net pressure intensity to which the soil at the base of the foundation can be subjected without risk of shear failure.
Alpha Footing Factor - Alpha Footing Factor is 1.0 for strip footings and 1.3 for circular and square footings.
Undrained Shear Strength in Soil - (Measured in Pascal) - Undrained Shear Strength in Soil within zone 1 pile diameter above and 2 diameters below pile tip.
Bearing Capacity Factor - Bearing Capacity Factor is empirically derived factors used in a bearing capacity equation that usually correlates with the angle of internal friction of the soil.
Effective Vertical Shear Stress in Soil - (Measured in Pascal) - Effective Vertical Shear Stress in soil is the total vertical stress acting at a point below the ground surface is due to the weight of everything lying above: soil, water, and surface loading.
Bearing Capacity Factor Nq - Bearing Capacity Factor Nq used in a bearing capacity equation that correlates with the angle of internal friction of soil.
Beta Footing Factor - Beta Footing Factor is 0.5 for strip footings, 0.4 for square footings, and 0.6 for circular footings.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Value of Nγ - Value of Nγ is bearing capacity factor.

STEP 1: Convert Input(s) to Base Unit

Alpha Footing Factor: 1.3 --> No Conversion Required
Undrained Shear Strength in Soil: 0.015 Kilopascal --> 15 Pascal (Check conversion here)
Bearing Capacity Factor: 3.1 --> No Conversion Required
Effective Vertical Shear Stress in Soil: 0.001 Kilopascal --> 1 Pascal (Check conversion here)
Bearing Capacity Factor Nq: 1.98 --> No Conversion Required
Beta Footing Factor: 0.5 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Value of Nγ: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_u = (α_f*C_u*N_c)+(σ_vo*N_q)+(β_f*γ*B*N_γ) --> (1.3*15*3.1)+(1*1.98)+(0.5*18000*2*2.5)

Evaluating ... ...

q_u = 45062.43

STEP 3: Convert Result to Output's Unit

45062.43 Pascal -->45.06243 Kilopascal (Check conversion here)

FINAL ANSWER

45.06243 Kilopascal <-- Net Bearing Capacity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Foundation Stability Analysis » Net Bearing Capacity of Long Footing in Foundation Stability Analysis

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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Net Bearing Capacity of Long Footing in Foundation Stability Analysis

Go Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ)

Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged

Go Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2)))

Maximum Bearing Pressure for Eccentric Loading Conventional Case

Go Maximum Bearing Pressure = (Circumference of Group in Foundation/(Breadth of Dam*Length of Footing))*(1+((6*Eccentricity of the Load on Soil)/Breadth of Dam))

Minimum Bearing Pressure for Eccentric Loading Conventional Case

Go Bearing Pressure Minimum = (Axial Load on Soil/(Breadth of Dam*Length of Footing))*(1-((6*Eccentricity of the Load on Soil)/Breadth of Dam))

Maximum Soil Pressure

Go Maximum Soil Pressure = (2*Axial Load on Soil)/(3*Length of Footing*((Width of Footing/2)-Eccentricity of the Load on Soil))

Correction Factor Nc for Rectangle

Go Correction Factor Nc = 1+(Width of Footing/Length of Footing)*(Bearing Capacity Factor Nq/Bearing Capacity Factor)

Correction Factor for Rectangle

Go Correction Factor Nq = 1+(Width of Footing/Length of Footing)*(tan(Angle of Internal Friction))

Net Bearing Capacity for Undrained Loading of Cohesive Soils

Go Net Bearing Capacity = Alpha Footing Factor*Bearing Capacity Factor Nq*Undrained Shear Strength in Soil

Correction Factor Nc for Circle and Square

Go Correction Factor Nc = 1+(Bearing Capacity Factor Nq/Bearing Capacity Factor)

Correction Factor Ny for Rectangle

Go Correction Factor NY = 1-0.4*(Width of Footing/Length of Footing)

Correction Factor for Circle and Square

Go Correction Factor Nq = 1+tan(Angle of Internal Friction)

Net Bearing Capacity of Long Footing in Foundation Stability Analysis Formula

What is Net Bearing Capacity?

Net Bearing Capacity is the net soil pressure which can be safety applied to the soil considering only shear failure.

How to Calculate Net Bearing Capacity of Long Footing in Foundation Stability Analysis?

Net Bearing Capacity of Long Footing in Foundation Stability Analysis calculator uses Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ) to calculate the Net Bearing Capacity, The Net Bearing Capacity of Long Footing in Foundation Stability Analysis is defined as the net bearing capacity per unit area of the footing. Net Bearing Capacity is denoted by q_u symbol.

How to calculate Net Bearing Capacity of Long Footing in Foundation Stability Analysis using this online calculator? To use this online calculator for Net Bearing Capacity of Long Footing in Foundation Stability Analysis, enter Alpha Footing Factor (α_f), Undrained Shear Strength in Soil (C_u), Bearing Capacity Factor (N_c), Effective Vertical Shear Stress in Soil (σ_vo), Bearing Capacity Factor Nq (N_q), Beta Footing Factor (β_f), Unit Weight of Soil (γ), Width of Footing (B) & Value of Nγ (N_γ) and hit the calculate button. Here is how the Net Bearing Capacity of Long Footing in Foundation Stability Analysis calculation can be explained with given input values -> 0.045062 = (1.3*15*3.1)+(1*1.98)+(0.5*18000*2*2.5).

FAQ

What is Net Bearing Capacity of Long Footing in Foundation Stability Analysis?

The Net Bearing Capacity of Long Footing in Foundation Stability Analysis is defined as the net bearing capacity per unit area of the footing and is represented as q_u = (α_f*C_u*N_c)+(σ_vo*N_q)+(β_f*γ*B*N_γ) or Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ). Alpha Footing Factor is 1.0 for strip footings and 1.3 for circular and square footings, Undrained Shear Strength in Soil within zone 1 pile diameter above and 2 diameters below pile tip, Bearing Capacity Factor is empirically derived factors used in a bearing capacity equation that usually correlates with the angle of internal friction of the soil, Effective Vertical Shear Stress in soil is the total vertical stress acting at a point below the ground surface is due to the weight of everything lying above: soil, water, and surface loading, Bearing Capacity Factor Nq used in a bearing capacity equation that correlates with the angle of internal friction of soil, Beta Footing Factor is 0.5 for strip footings, 0.4 for square footings, and 0.6 for circular footings, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Width of Footing is the shorter dimension of the footing & Value of Nγ is bearing capacity factor.

How to calculate Net Bearing Capacity of Long Footing in Foundation Stability Analysis?

The Net Bearing Capacity of Long Footing in Foundation Stability Analysis is defined as the net bearing capacity per unit area of the footing is calculated using Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ). To calculate Net Bearing Capacity of Long Footing in Foundation Stability Analysis, you need Alpha Footing Factor (α_f), Undrained Shear Strength in Soil (C_u), Bearing Capacity Factor (N_c), Effective Vertical Shear Stress in Soil (σ_vo), Bearing Capacity Factor Nq (N_q), Beta Footing Factor (β_f), Unit Weight of Soil (γ), Width of Footing (B) & Value of Nγ (N_γ). With our tool, you need to enter the respective value for Alpha Footing Factor, Undrained Shear Strength in Soil, Bearing Capacity Factor, Effective Vertical Shear Stress in Soil, Bearing Capacity Factor Nq, Beta Footing Factor, Unit Weight of Soil, Width of Footing & Value of Nγ and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Net Bearing Capacity?

In this formula, Net Bearing Capacity uses Alpha Footing Factor, Undrained Shear Strength in Soil, Bearing Capacity Factor, Effective Vertical Shear Stress in Soil, Bearing Capacity Factor Nq, Beta Footing Factor, Unit Weight of Soil, Width of Footing & Value of Nγ. We can use 1 other way(s) to calculate the same, which is/are as follows -

Net Bearing Capacity = Alpha Footing Factor*Bearing Capacity Factor Nq*Undrained Shear Strength in Soil

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