Unit Weight of Soil given Bearing Capacity for Local Shear Failure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
γ = (qfc-(((2/3)*C*Nc)+(σs*Nq)))/(0.5*Nγ*B)
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 in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil 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 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.
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 in Soil: 127.8 Kilopascal --> 127800 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
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 = (qfc-(((2/3)*C*Nc)+(σs*Nq)))/(0.5*Nγ*B) --> (127800-(((2/3)*1270*9)+(45900*2.01)))/(0.5*1.6*2)
Evaluating ... ...
γ = 17450.625
STEP 3: Convert Result to Output's Unit
17450.625 Newton per Cubic Meter -->17.450625 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
17.450625 17.45063 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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18 General and Local Shear Failure Calculators

Bearing Capacity Factor Dependent on Unit Weight given Dimension of Footing
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((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 Cohesion given Dimension of Footing
Go Bearing Capacity Factor dependent on Cohesion = (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)))/((2/3)*Cohesion in Soil as Kilopascal)
Width of Footing for Local Shear Failure given Bearing Capacity Factor
Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
Cohesion of Soil for Local Shear Failure given Depth of Footing
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)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)
Bearing Capacity Factor Dependent on Surcharge given Dimension of Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*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)))/(Unit Weight of Soil*Depth of Footing)
Bearing capacity for Local Shear Failure given Depth of Footing
Go Ultimate Bearing Capacity = ((2/3)*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 Bearing Capacity for Local Shear Failure
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
Cohesion of Soil given Bearing Capacity for Local Shear Failure
Go Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Bearing Capacity for Local Shear Failure
Go Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)
Bearing Capacity Factor Dependent on Cohesion for Local Shear Failure
Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Cohesion of Soil)
Bearing Capacity Factor Dependent on Surcharge for Local Shear Failure
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(((2/3)*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)))/Effective Surcharge in KiloPascal
Effective Surcharge given Bearing Capacity for Local Shear Failure
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*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
Bearing capacity for Local Shear Failure
Go Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure
Go Angle of Mobilized Friction = atan((2/3)*tan((Angle of Shearing Resistance)))
Angle of Shearing Resistance Corresponding to Local Shear Failure
Go Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))
Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure
Go Cohesion of Soil = (3/2)*Mobilised Cohesion
Mobilised Cohesion Corresponding to Local Shear Failure
Go Mobilised Cohesion = (2/3)*Cohesion of Soil

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Formula

Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
γ = (qfc-(((2/3)*C*Nc)+(σs*Nq)))/(0.5*Nγ*B)

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 Local Shear Failure?

Unit Weight of Soil given Bearing Capacity for Local Shear Failure calculator uses Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Bearing Capacity for Local Shear Failure is defined as the weight per unit volume; higher values enhance bearing capacity. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Bearing Capacity for Local Shear Failure using this online calculator? To use this online calculator for Unit Weight of Soil given Bearing Capacity for Local Shear Failure, enter Ultimate Bearing Capacity in Soil (qfc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal s), 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 Bearing Capacity for Local Shear Failure calculation can be explained with given input values -> 0.017738 = (127800-(((2/3)*1270*9)+(45900*2.01)))/(0.5*1.6*2).

FAQ

What is Unit Weight of Soil given Bearing Capacity for Local Shear Failure?
The Unit Weight of Soil given Bearing Capacity for Local Shear Failure is defined as the weight per unit volume; higher values enhance bearing capacity and is represented as γ = (qfc-(((2/3)*C*Nc)+(σs*Nq)))/(0.5*Nγ*B) or Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing). Ultimate Bearing Capacity in Soil 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 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, 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 Bearing Capacity for Local Shear Failure?
The Unit Weight of Soil given Bearing Capacity for Local Shear Failure is defined as the weight per unit volume; higher values enhance bearing capacity is calculated using Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing). To calculate Unit Weight of Soil given Bearing Capacity for Local Shear Failure, you need Ultimate Bearing Capacity in Soil (qfc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal s), 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 in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, 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.
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