Effective Surcharge given Square Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge
σsquare = (qf-((1.3*C*Nc)+(0.5*γ*B*Nγ*0.8)))/Nq
This formula uses 8 Variables
Variables Used
Effective Surcharge given Square Footing - (Measured in Pascal) - Effective Surcharge given Square Footing is the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing.
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 - (Measured in Pascal) - Cohesion 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.
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: 60 Kilopascal --> 60000 Pascal (Check conversion ​here)
Cohesion: 4.23 Kilopascal --> 4230 Pascal (Check conversion ​here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> 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
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σsquare = (qf-((1.3*C*Nc)+(0.5*γ*B*Nγ*0.8)))/Nq --> (60000-((1.3*4230*1.93)+(0.5*18000*2*1.6*0.8)))/2.01
Evaluating ... ...
σsquare = 13107.9253731343
STEP 3: Convert Result to Output's Unit
13107.9253731343 Pascal -->13.1079253731343 Kilonewton per Square Meter (Check conversion ​here)
FINAL ANSWER
13.1079253731343 13.10793 Kilonewton per Square Meter <-- Effective Surcharge given Square Footing
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion
​ LaTeX ​ Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Cohesion)
Cohesion of Soil depending on Shape Factors
​ LaTeX ​ Go Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)
Shape Factor Dependent on Cohesion
​ LaTeX ​ Go Shape Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Cohesion*Cohesion)
Bearing Capacity depending on Shape Factors
​ LaTeX ​ Go Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)

Effective Surcharge given Square Footing and Bearing Capacity Formula

​LaTeX ​Go
Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge
σsquare = (qf-((1.3*C*Nc)+(0.5*γ*B*Nγ*0.8)))/Nq

What is Effective Surcharge?

Surcharge refers to the vertical pressure or any load that acts over the ground surface. It is called as surcharge load.Constant magnitude of horizontal pressure is included with the value of basic lateral soil pressure, in presence of uniform surcharge loading.

How to Calculate Effective Surcharge given Square Footing and Bearing Capacity?

Effective Surcharge given Square Footing and Bearing Capacity calculator uses Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge to calculate the Effective Surcharge given Square Footing, The Effective Surcharge given Square Footing and Bearing Capacity is defined as the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing, when we have prior information of other parameters used for square footing. Effective Surcharge given Square Footing is denoted by σsquare symbol.

How to calculate Effective Surcharge given Square Footing and Bearing Capacity using this online calculator? To use this online calculator for Effective Surcharge given Square Footing and Bearing Capacity, enter Ultimate Bearing Capacity (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Effective Surcharge given Square Footing and Bearing Capacity calculation can be explained with given input values -> 0.013108 = (60000-((1.3*4230*1.93)+(0.5*18000*2*1.6*0.8)))/2.01.

FAQ

What is Effective Surcharge given Square Footing and Bearing Capacity?
The Effective Surcharge given Square Footing and Bearing Capacity is defined as the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing, when we have prior information of other parameters used for square footing and is represented as σsquare = (qf-((1.3*C*Nc)+(0.5*γ*B*Nγ*0.8)))/Nq or Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge. 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 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 & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Effective Surcharge given Square Footing and Bearing Capacity?
The Effective Surcharge given Square Footing and Bearing Capacity is defined as the additional pressure exerted on the soil due to external loads, such as structures or other surface loads, which are distributed over a square footing, when we have prior information of other parameters used for square footing is calculated using Effective Surcharge given Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/Bearing Capacity Factor dependent on Surcharge. To calculate Effective Surcharge given Square Footing and Bearing Capacity, you need Ultimate Bearing Capacity (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Bearing Capacity Factor dependent on Surcharge (Nq). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Cohesion, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, 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.
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