Unit Weight of Soil given Strip Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
γ = (qf-((1 *C*Nc)+(σ`*Nq)))/(0.5*Nγ*B*1)
This formula uses 8 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 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.
Effective Surcharge - (Measured in Pascal) - Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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
Effective Surcharge: 10 Pascal --> 10 Pascal No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = (qf-((1 *C*Nc)+(σ`*Nq)))/(0.5*Nγ*B*1) --> (60000-((1 *1270*9)+(10*2.01)))/(0.5*1.6*2*1)
Evaluating ... ...
γ = 30343.6875
STEP 3: Convert Result to Output's Unit
30343.6875 Newton per Cubic Meter -->30.3436875 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
30.3436875 30.34369 Kilonewton per Cubic Meter <-- Unit Weight of Soil
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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)

Unit Weight of Soil given Strip Footing and Bearing Capacity Formula

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)
γ = (qf-((1 *C*Nc)+(σ`*Nq)))/(0.5*Nγ*B*1)

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 Strip Footing and Bearing Capacity?

Unit Weight of Soil given Strip Footing and Bearing Capacity calculator uses 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) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Strip Footing and Bearing Capacity is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Strip Footing and Bearing Capacity using this online calculator? To use this online calculator for Unit Weight of Soil given Strip Footing and Bearing Capacity, enter Ultimate Bearing Capacity (qf), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Width of Footing (B) and hit the calculate button. Here is how the Unit Weight of Soil given Strip Footing and Bearing Capacity calculation can be explained with given input values -> 0.030344 = (60000-((1 *1270*9)+(10*2.01)))/(0.5*1.6*2*1).

FAQ

What is Unit Weight of Soil given Strip Footing and Bearing Capacity?
The Unit Weight of Soil given Strip Footing and Bearing Capacity is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = (qf-((1 *C*Nc)+(σ`*Nq)))/(0.5*Nγ*B*1) or 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). 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, Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Width of Footing is the shorter dimension of the footing.
How to calculate Unit Weight of Soil given Strip Footing and Bearing Capacity?
The Unit Weight of Soil given Strip Footing and Bearing Capacity is defined as the value of unit weight of soil when we have prior information of other parameters used is calculated using 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). To calculate Unit Weight of Soil given Strip Footing and Bearing Capacity, you need Ultimate Bearing Capacity (qf), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Width of Footing (B). 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, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Width of Footing 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 in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Width of Footing. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
  • 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)
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