Effective Surcharge given Round Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge
σs = (qf-((1.3 *C*Nc)+(0.5*γ*B*Nγ*0.6 )))/Nq
This formula uses 8 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 - (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 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.
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 in Soil as Kilopascal: 1.27 Kilopascal --> 1270 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
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σs = (qf-((1.3 *C*Nc)+(0.5*γ*B*Nγ*0.6 )))/Nq --> (60000-((1.3 *1270*9)+(0.5*18000*2*1.6*0.6 )))/2.01
Evaluating ... ...
σs = 13861.1940298507
STEP 3: Convert Result to Output's Unit
13861.1940298507 Pascal -->13.8611940298507 Kilonewton per Square Meter (Check conversion here)
FINAL ANSWER
13.8611940298507 13.86119 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal
(Calculation completed in 00.019 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

23 Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion Depending on Shape Factors
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 in Soil as Kilopascal)
Cohesion of Soil depending on Shape Factors
Go Cohesion in Soil as Kilopascal = (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
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 in Soil as Kilopascal)
Bearing Capacity Factor Dependent on Unit Weight depending on Shape Factors
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)
Unit Weight of Soil given Shape Factor
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight)
Shape Factor Dependent on Unit Weight
Go Shape Factor Dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing given Shape Factor
Go Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)
Bearing Capacity depending on Shape Factors
Go Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)
Effective Surcharge given Square Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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
Effective Surcharge given Round Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge
Effective Surcharge given Strip Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*1 )))/Bearing Capacity Factor dependent on Surcharge
Unit Weight of Soil given Square Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.8)
Unit Weight of Soil given Round Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.6)
Cohesion of Soil given Square Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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*0.8 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Square Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.8)
Cohesion of Soil given Round Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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*0.6 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Round Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.6)
Unit Weight of Soil given Strip Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*1)
Cohesion of Soil given Strip Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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*1 )))/(1*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Strip Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*1)
Bearing Capacity for Square Footing
Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)
Bearing Capacity for Round Footing
Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6)
Bearing Capacity for Strip Footing
Go Ultimate Bearing Capacity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Effective Surcharge given Round Footing and Bearing Capacity Formula

Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge
σs = (qf-((1.3 *C*Nc)+(0.5*γ*B*Nγ*0.6 )))/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 Round Footing and Bearing Capacity?

Effective Surcharge given Round Footing and Bearing Capacity calculator uses Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge given Round Footing and Bearing Capacity is defined as the value of effective surcharge when we have prior information of other parameters used. Effective Surcharge in KiloPascal is denoted by σs symbol.

How to calculate Effective Surcharge given Round Footing and Bearing Capacity using this online calculator? To use this online calculator for Effective Surcharge given Round Footing and Bearing Capacity, enter Ultimate Bearing Capacity (qf), Cohesion in Soil as Kilopascal (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 Round Footing and Bearing Capacity calculation can be explained with given input values -> 0.01393 = (60000-((1.3 *1270*9)+(0.5*18000*2*1.6*0.6 )))/2.01.

FAQ

What is Effective Surcharge given Round Footing and Bearing Capacity?
The Effective Surcharge given Round Footing and Bearing Capacity is defined as the value of effective surcharge when we have prior information of other parameters used and is represented as σs = (qf-((1.3 *C*Nc)+(0.5*γ*B*Nγ*0.6 )))/Nq or Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/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 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, 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 Round Footing and Bearing Capacity?
The Effective Surcharge given Round Footing and Bearing Capacity 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-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge. To calculate Effective Surcharge given Round Footing and Bearing Capacity, you need Ultimate Bearing Capacity (qf), Cohesion in Soil as Kilopascal (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 in Soil as Kilopascal, 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.
How many ways are there to calculate Effective Surcharge in KiloPascal?
In this formula, Effective Surcharge in KiloPascal uses Ultimate Bearing Capacity, Cohesion in Soil as Kilopascal, 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*1 )))/Bearing Capacity Factor dependent on Surcharge
  • Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!