Unit Weight of Soil under Strip Footing for Case of Local Shear Failure Calculator

✖Net Ultimate BC is the minimum net pressure intensity causing shear failure.ⓘ Net Ultimate BC [q_nu]			+10% -10%
✖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.ⓘ Cohesion in Soil as Kilopascal [C]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%
✖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.ⓘ Effective Surcharge in KiloPascal [σ_s]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil under Strip Footing for Case of Local Shear Failure [γ]

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Formula

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Unit Weight of Soil under Strip Footing for Case of Local Shear Failure

Formula

`"γ" = ("q"_{"nu"}-(((2/3)*"C"*"N"_{"c"})+("σ"_{"s"}*("N"_{"q"}-1))))/(0.5*"B"*"N"_{"γ"})`

Example

`"20.63813kN/m³"=("87kN/m²"-(((2/3)*"1.27kPa"*"9")+("45.9kN/m²"*("2.01"-1))))/(0.5*"2m"*"1.6")`

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Download Bearing Capacity for Strip Footing for C-Φ Soils Formulas PDF

Unit Weight of Soil under Strip Footing for Case of Local Shear Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
γ = (q_nu-(((2/3)*C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ)
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.
Net Ultimate BC - (Measured in Pascal) - Net Ultimate BC is the minimum net pressure intensity causing shear failure.
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 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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.

STEP 1: Convert Input(s) to Base Unit

Net Ultimate BC: 87 Kilonewton per Square Meter --> 87000 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 in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (q_nu-(((2/3)*C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ) --> (87000-(((2/3)*1270*9)+(45900*(2.01-1))))/(0.5*2*1.6)

Evaluating ... ...

γ = 20638.125

STEP 3: Convert Result to Output's Unit

20638.125 Newton per Cubic Meter -->20.638125 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

20.638125 ≈ 20.63813 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity for Strip Footing for C-Φ Soils » Local Shear Failure » Unit Weight of Soil under Strip Footing for Case of Local Shear Failure

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< 8 Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Unit Weight for Case of Local Shear Failure

Go Bearing Capacity Factor dependent on Unit Weight = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Unit Weight of Soil)

Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure

Go Bearing Capacity Factor dependent on Cohesion = (Net Ultimate BC-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion in Soil as Kilopascal)

Cohesion of Soil given Net Ultimate Bearing Capacity for Local Shear Failure

Go Cohesion in Soil as Kilopascal = (Net Ultimate BC-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

Width of Footing given Net Ultimate Bearing Capacity for Local Shear Failure

Go Width of Footing = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil under Strip Footing for Case of Local Shear Failure

Go Unit Weight of Soil = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Effective Surcharge given Net Ultimate Bearing Capacity for Local Shear Failure

Go Effective Surcharge in KiloPascal = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Surcharge-1)

Bearing Capacity Factor Dependent on Surcharge for Case of Local Shear Failure

Go Bearing Capacity Factor dependent on Surcharge = ((Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/Effective Surcharge in KiloPascal)+1

Net Ultimate Bearing Capacity for Local Shear Failure

Go Net Ultimate BC = ((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil under Strip Footing for Case of Local Shear Failure Formula

What is Strip Footing?

A wall footing or strip footing is a continuous strip of concrete that serves to spread the weight of a load-bearing wall across an area of soil. It is the component of a shallow foundation.

How to Calculate Unit Weight of Soil under Strip Footing for Case of Local Shear Failure?

Unit Weight of Soil under Strip Footing for Case of Local Shear Failure calculator uses Unit Weight of Soil = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight) to calculate the Unit Weight of Soil, The Unit Weight of Soil under Strip Footing for Case of Local Shear Failure 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 under Strip Footing for Case of Local Shear Failure using this online calculator? To use this online calculator for Unit Weight of Soil under Strip Footing for Case of Local Shear Failure, enter Net Ultimate BC (q_nu), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button. Here is how the Unit Weight of Soil under Strip Footing for Case of Local Shear Failure calculation can be explained with given input values -> 0.020925 = (87000-(((2/3)*1270*9)+(45900*(2.01-1))))/(0.5*2*1.6).

FAQ

What is Unit Weight of Soil under Strip Footing for Case of Local Shear Failure?

The Unit Weight of Soil under Strip Footing for Case of Local Shear Failure is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = (q_nu-(((2/3)*C*N_c)+(σ_s*(N_q-1))))/(0.5*B*N_γ) or Unit Weight of Soil = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). Net Ultimate BC is the minimum net pressure intensity causing shear failure, 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 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, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, 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.

How to calculate Unit Weight of Soil under Strip Footing for Case of Local Shear Failure?

The Unit Weight of Soil under Strip Footing for Case of Local Shear Failure 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 = (Net Ultimate BC-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). To calculate Unit Weight of Soil under Strip Footing for Case of Local Shear Failure, you need Net Ultimate BC (q_nu), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ). With our tool, you need to enter the respective value for Net Ultimate BC, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Width of Footing & Bearing Capacity Factor dependent on Unit Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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