Effective Surcharge given Bearing Capacity Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((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-1)
σs = (qnf-((Cs*Nc)+(0.5*γ*B*Nγ)))/(Nq-1)
This formula uses 8 Variables
Variables Used
Effective Surcharge in KiloPascal - (Measured in Kilogram-Force per Square Meter) - 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.
Net Ultimate Bearing Capacity - (Measured in Kilogram-Force per Square Meter) - Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.
Cohesion of Soil - (Measured in Kilogram-Force per Square Meter) - 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 Kilonewton 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
Net Ultimate Bearing Capacity: 150 Kilonewton per Square Meter --> 15295.74319467 Kilogram-Force per Square Meter (Check conversion ​here)
Cohesion of Soil: 5 Kilopascal --> 509.858106489 Kilogram-Force per Square Meter (Check conversion ​here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
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 = (qnf-((Cs*Nc)+(0.5*γ*B*Nγ)))/(Nq-1) --> (15295.74319467-((509.858106489*9)+(0.5*18*2*1.6)))/(2.01-1)
Evaluating ... ...
σs = 10572.4952834347
STEP 3: Convert Result to Output's Unit
103680.760871287 Pascal -->103.680760871287 Kilonewton per Square Meter (Check conversion ​here)
FINAL ANSWER
103.680760871287 103.6808 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal
(Calculation completed in 00.004 seconds)

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Terzaghi's Analysis in Water Table is Below the Base of Footing Calculators

Depth of Footing given Bearing Capacity Factor
​ LaTeX ​ Go Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((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)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
Cohesion of Soil given Depth and Width of Footing
​ LaTeX ​ 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)))/Bearing Capacity Factor dependent on Cohesion
Ultimate Bearing Capacity given Bearing Capacity Factor
​ LaTeX ​ Go Ultimate Bearing Capacity = (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 Depth and Width of Footing
​ LaTeX ​ Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Effective Surcharge given Bearing Capacity Factor Formula

​LaTeX ​Go
Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((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-1)
σs = (qnf-((Cs*Nc)+(0.5*γ*B*Nγ)))/(Nq-1)

What is Surcharge?

A surcharge load, typically consisting of fill material, placed on the design platform. This surcharge load, together with the platform fill, exerts pressures on the underlying soft soil and creates development of excess pore water pressures that are slow to dissipate due to the low permeability of these soft soils.

How to Calculate Effective Surcharge given Bearing Capacity Factor?

Effective Surcharge given Bearing Capacity Factor calculator uses Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((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-1) to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge given Bearing Capacity Factor is defined as the bearing capacity factor optimally supports the load, ensuring stability and preventing soil failure. Effective Surcharge in KiloPascal is denoted by σs symbol.

How to calculate Effective Surcharge given Bearing Capacity Factor using this online calculator? To use this online calculator for Effective Surcharge given Bearing Capacity Factor, enter Net Ultimate Bearing Capacity (qnf), Cohesion of Soil (Cs), 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 Bearing Capacity Factor calculation can be explained with given input values -> 0.104718 = (150000-((5000*9)+(0.5*18000*2*1.6)))/(2.01-1).

FAQ

What is Effective Surcharge given Bearing Capacity Factor?
The Effective Surcharge given Bearing Capacity Factor is defined as the bearing capacity factor optimally supports the load, ensuring stability and preventing soil failure and is represented as σs = (qnf-((Cs*Nc)+(0.5*γ*B*Nγ)))/(Nq-1) or Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((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-1). Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure, 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 & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Effective Surcharge given Bearing Capacity Factor?
The Effective Surcharge given Bearing Capacity Factor is defined as the bearing capacity factor optimally supports the load, ensuring stability and preventing soil failure is calculated using Effective Surcharge in KiloPascal = (Net Ultimate Bearing Capacity-((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-1). To calculate Effective Surcharge given Bearing Capacity Factor, you need Net Ultimate Bearing Capacity (qnf), Cohesion of Soil (Cs), 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 Net 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 & 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 Net 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 & 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 = ((Safe Bearing Capacity*Factor of Safety)-((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)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1)
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