Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing Calculator

✖The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.ⓘ Cohesion of Soil [C_s]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+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%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+10% -10%

✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing [N_q]

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Formula

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Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing

Formula

`"N"_{"q"} = ("q"_{"f"}-(((2/3)*"C"_{"s"}*"N"_{"c"})+(0.5*"γ"*"B"*"N"_{"γ"})))/("γ"*"D")`

Example

`"0.066007"=("60kPa"-(((2/3)*"5.0kPa"*"9")+(0.5*"18kN/m³"*"2m"*"1.6")))/("18kN/m³"*"1.01m")`

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Download Terzaghi's Analysis: Shear Failure Theories Formula PDF

Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing)
N_q = (q_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/(γ*D)
This formula uses 8 Variables

Variables Used

Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Ultimate Bearing Capacity - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
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.
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> 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
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_q = (q_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/(γ*D) --> (60000-(((2/3)*5000*9)+(0.5*18000*2*1.6)))/(18000*1.01)

Evaluating ... ...

N_q = 0.066006600660066

STEP 3: Convert Result to Output's Unit

0.066006600660066 --> No Conversion Required

FINAL ANSWER

0.066006600660066 ≈ 0.066007 <-- Bearing Capacity Factor dependent on Surcharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis: Shear Failure Theories » General and Local Shear Failure » Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing

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< 18 General and Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Unit Weight given Dimension of Footing

Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)

Bearing Capacity Factor Dependent on Cohesion given Dimension of Footing

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-(((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion in Soil as Kilopascal)

Width of Footing for Local Shear Failure given Bearing Capacity Factor

Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

Cohesion of Soil for Local Shear Failure given Depth of Footing

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-(((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing)

Bearing capacity for Local Shear Failure given Depth of Footing

Go Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Bearing Capacity for Local Shear Failure

Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)

Cohesion of Soil given Bearing Capacity for Local Shear Failure

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Bearing Capacity for Local Shear Failure

Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure

Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)

Bearing Capacity Factor Dependent on Cohesion for Local Shear Failure

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion of Soil)

Bearing Capacity Factor Dependent on Surcharge for Local Shear Failure

Effective Surcharge given Bearing Capacity for Local Shear Failure

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge

Bearing capacity for Local Shear Failure

Go Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure

Go Angle of Mobilized Friction = atan((2/3)*tan((Angle of Shearing Resistance)))

Angle of Shearing Resistance Corresponding to Local Shear Failure

Go Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))

Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

Go Cohesion of Soil = (3/2)*Mobilised Cohesion

Mobilised Cohesion Corresponding to Local Shear Failure

Go Mobilised Cohesion = (2/3)*Cohesion of Soil

Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing Formula

What is Surcharge?

Surcharge is the additional load on the soil which may be created due to any overlying structure or any moving object.Total stress on the surface of the soil is because of the surcharge only. So total stress is equal to the surcharge q. σ = q. No water present above this plane, hence pore water pressure is zero.

How to Calculate Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing?

Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing calculator uses Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing) to calculate the Bearing Capacity Factor dependent on Surcharge, The Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing is defined as bearing capacity factor, influenced by surcharge, indicates soil's ability to support a foundation, considering footing dimensions. Bearing Capacity Factor dependent on Surcharge is denoted by N_q symbol.

How to calculate Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing using this online calculator? To use this online calculator for Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing, enter Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Depth of Footing (D) and hit the calculate button. Here is how the Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing calculation can be explained with given input values -> 0.066007 = (60000-(((2/3)*5000*9)+(0.5*18000*2*1.6)))/(18000*1.01).

FAQ

What is Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing?

The Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing is defined as bearing capacity factor, influenced by surcharge, indicates soil's ability to support a foundation, considering footing dimensions and is represented as N_q = (q_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/(γ*D) or Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing). The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, 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, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Depth of Footing is the longer dimension of the footing.

How to calculate Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing?

The Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing is defined as bearing capacity factor, influenced by surcharge, indicates soil's ability to support a foundation, considering footing dimensions is calculated using Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Depth of Footing). To calculate Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing, you need Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Depth of Footing (D). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Depth of Footing 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 Bearing Capacity Factor dependent on Surcharge?

In this formula, Bearing Capacity Factor dependent on Surcharge uses Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Depth of Footing. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Effective Surcharge in KiloPascal

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