Depth of Footing given Bearing Capacity for Purely Cohesive Soil Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
D = (qf-(Cs*Nc))/(γ*Nq)
This formula uses 6 Variables
Variables Used
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the 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 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.
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 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)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (qf-(Cs*Nc))/(γ*Nq) --> (60000-(5000*9))/(18000*2.01)
Evaluating ... ...
D = 0.414593698175788
STEP 3: Convert Result to Output's Unit
0.414593698175788 Meter --> No Conversion Required
FINAL ANSWER
0.414593698175788 0.414594 Meter <-- Depth of Footing
(Calculation completed in 00.007 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Terzaghi's Analysis Purely Cohesive Soil Calculators

Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil
​ LaTeX ​ Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil
Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))
Effective Surcharge given Bearing Capacity for Purely Cohesive Soil
​ LaTeX ​ Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

​LaTeX ​Go
Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
D = (qf-(Cs*Nc))/(γ*Nq)

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

How to Calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil?

Depth of Footing given Bearing Capacity for Purely Cohesive Soil calculator uses Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge) to calculate the Depth of Footing, The Depth of Footing given Bearing Capacity for Purely Cohesive Soil is defined as value of depth of footing when we have prior information of other parameters used. Depth of Footing is denoted by D symbol.

How to calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil using this online calculator? To use this online calculator for Depth of Footing given Bearing Capacity for Purely Cohesive Soil, enter Ultimate Bearing Capacity (qf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Depth of Footing given Bearing Capacity for Purely Cohesive Soil calculation can be explained with given input values -> 0.416667 = (60000-(5000*9))/(18000*2.01).

FAQ

What is Depth of Footing given Bearing Capacity for Purely Cohesive Soil?
The Depth of Footing given Bearing Capacity for Purely Cohesive Soil is defined as value of depth of footing when we have prior information of other parameters used and is represented as D = (qf-(Cs*Nc))/(γ*Nq) or Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*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 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 & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil?
The Depth of Footing given Bearing Capacity for Purely Cohesive Soil is defined as value of depth of footing when we have prior information of other parameters used is calculated using Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge). To calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil, you need Ultimate Bearing Capacity (qf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Surcharge (Nq). 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 & 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 Depth of Footing?
In this formula, Depth of Footing uses Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil & Bearing Capacity Factor dependent on Surcharge. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)
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