Effective Surcharge for Rectangular Footing Calculator

✖Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity in Soil [q_fc]			+10% -10%
✖Cohesion in Soil as Kilopascal 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 in Soil as Kilopascal [C]			+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%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Length of Footing is the length of the larger dimension of the footing.ⓘ Length of Footing [L]			+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%
✖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%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%

✖Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.ⓘ Effective Surcharge for Rectangular Footing [σ_s]

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Formula

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Effective Surcharge for Rectangular Footing

Formula

σ s = \frac{q fc - (((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + (0.4 \cdot γ \cdot B \cdot N γ))}{N q}

Example

45.57985 kN/m² = \frac{127.8 kPa - (((1.27 kPa \cdot 9) \cdot (1 + 0.3 \cdot (\frac{2 m}{4 m}))) + (0.4 \cdot 18 kN/m³ \cdot 2 m \cdot 1.6))}{2.01}

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Effective Surcharge for Rectangular Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge
σ_s = (q_fc-(((C*N_c)*(1+0.3*(B/L)))+(0.4*γ*B*N_γ)))/N_q
This formula uses 9 Variables

Variables Used

Effective Surcharge in KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Length of Footing - (Measured in Meter) - Length of Footing is the length of the larger dimension of the footing.
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.
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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Length of Footing: 4 Meter --> 4 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_s = (q_fc-(((C*N_c)*(1+0.3*(B/L)))+(0.4*γ*B*N_γ)))/N_q --> (127800-(((1270*9)*(1+0.3*(2/4)))+(0.4*18000*2*1.6)))/2.01

Evaluating ... ...

σ_s = 45579.8507462687

STEP 3: Convert Result to Output's Unit

45579.8507462687 Pascal -->45.5798507462687 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

45.5798507462687 ≈ 45.57985 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal

(Calculation completed in 00.005 seconds)

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< Frictional Cohesive Soil Calculators

Cohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing

Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing)))

Effective Surcharge for Rectangular Footing

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge

Ultimate Bearing Capacity for Rectangular Footing

Go Ultimate Bearing Capacity in Soil = ((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Effective Surcharge for Rectangular Footing Formula

What is Effective 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 Effective Surcharge for Rectangular Footing?

Effective Surcharge for Rectangular Footing calculator uses Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge for Rectangular Footing is defined as the value of effective surcharge when we have prior information of other parameters used. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to calculate Effective Surcharge for Rectangular Footing using this online calculator? To use this online calculator for Effective Surcharge for Rectangular Footing, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Width of Footing (B), Length of Footing (L), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Effective Surcharge for Rectangular Footing calculation can be explained with given input values -> 0.045808 = (127800-(((1270*9)*(1+0.3*(2/4)))+(0.4*18000*2*1.6)))/2.01.

FAQ

What is Effective Surcharge for Rectangular Footing?

The Effective Surcharge for Rectangular Footing is defined as the value of effective surcharge when we have prior information of other parameters used and is represented as σ_s = (q_fc-(((C*N_c)*(1+0.3*(B/L)))+(0.4*γ*B*N_γ)))/N_q or Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge. Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Cohesion in Soil as Kilopascal 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, Width of Footing is the shorter dimension of the footing, Length of Footing is the length of the larger dimension of the footing, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

How to calculate Effective Surcharge for Rectangular Footing?

The Effective Surcharge for Rectangular Footing is defined as the value of effective surcharge when we have prior information of other parameters used is calculated using Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge. To calculate Effective Surcharge for Rectangular Footing, you need Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Width of Footing (B), Length of Footing (L), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Width of Footing, Length of Footing, Unit Weight of Soil, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge 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 Effective Surcharge in KiloPascal?

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

Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/Bearing Capacity Factor dependent on Surcharge

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