Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
γ = (qf-(Cs*Nc))/(D*Nq)
This formula uses 6 Variables
Variables Used
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.
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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = (qf-(Cs*Nc))/(D*Nq) --> (60000-(5000*9))/(1.01*2.01)
Evaluating ... ...
γ = 7388.79858135067
STEP 3: Convert Result to Output's Unit
7388.79858135067 Newton per Cubic Meter -->7.38879858135067 Kilonewton per Cubic Meter (Check conversion ​here)
FINAL ANSWER
7.38879858135067 7.388799 Kilonewton per Cubic Meter <-- Unit Weight of Soil
(Calculation completed in 00.024 seconds)

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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

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil Formula

​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)
γ = (qf-(Cs*Nc))/(D*Nq)

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

How to Calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil calculator uses 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) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil is defined as the weight per unit volume, relevant to the bearing capacity of purely cohesive soil. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil using this online calculator? To use this online calculator for Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil, enter Ultimate Bearing Capacity (qf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Depth of Footing (D) & Bearing Capacity Factor dependent on Surcharge (Nq) and hit the calculate button. Here is how the Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil calculation can be explained with given input values -> 0.007426 = (60000-(5000*9))/(1.01*2.01).

FAQ

What is Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?
The Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil is defined as the weight per unit volume, relevant to the bearing capacity of purely cohesive soil and is represented as γ = (qf-(Cs*Nc))/(D*Nq) or 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). 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, Depth of Footing is the longer dimension of the footing & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
How to calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil?
The Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil is defined as the weight per unit volume, relevant to the bearing capacity of purely cohesive soil is calculated using 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). To calculate Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil, you need Ultimate Bearing Capacity (qf), Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Depth of Footing (D) & 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, Depth of Footing & 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 Unit Weight of Soil?
In this formula, Unit Weight of Soil uses Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Depth of Footing & Bearing Capacity Factor dependent on Surcharge. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)
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