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

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Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil. Check FAQs

N c = \frac{q nu - ((σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ))}{(\frac{2}{3}) \cdot C}

N_c - Bearing Capacity Factor dependent on Cohesion?q_nu - Net Ultimate BC?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?C - Cohesion in Soil as Kilopascal?

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

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Here is how the Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure equation looks like with Values.

Here is how the Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure equation looks like with Units.

Here is how the Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure equation looks like.

13.9854 = \frac{87 - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{(\frac{2}{3}) \cdot 1.27}

13.9854 = \frac{87kN/m² - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{(\frac{2}{3}) \cdot 1.27kPa}

13.9854 = \frac{87 - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{(\frac{2}{3}) \cdot 1.27}

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

Follow our step by step solution on how to calculate Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure?

FIRST Step Consider the formula

N c = \frac{q nu - ((σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ))}{(\frac{2}{3}) \cdot C}

Next Step Substitute values of Variables

∴

N c = \frac{87kN/m² - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{(\frac{2}{3}) \cdot 1.27kPa}

Next Step Convert Units

∴

N c = \frac{87000Pa - ((45900Pa \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18000N/m³ \cdot 1.6))}{(\frac{2}{3}) \cdot 1270Pa}

Next Step Prepare to Evaluate

∴

N c = \frac{87000 - ((45900 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18000 \cdot 1.6))}{(\frac{2}{3}) \cdot 1270}

Next Step Evaluate

∴

N c = 13.9854330708661

LAST Step Rounding Answer

∴

N c = 13.9854

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

Variables

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

Net Ultimate BC

Net Ultimate BC is the minimum net pressure intensity causing shear failure.

Symbol: q_nu

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Ultimate BC

Effective Surcharge in KiloPascal

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.

Symbol: σ_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge in KiloPascal

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

Width of Footing

Width of Footing is the shorter dimension of the footing.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

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.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Cohesion in Soil as Kilopascal

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.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion in Soil as Kilopascal

Other formulas in Local Shear Failure category

Go Net Ultimate Bearing Capacity for Local Shear Failure

q nu = ((\frac{2}{3}) \cdot C \cdot N c) + (σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ)

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

C = \frac{q nu - ((σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ))}{(\frac{2}{3}) \cdot N c}

How to Evaluate Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure?

Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure evaluator uses 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) to evaluate the Bearing Capacity Factor dependent on Cohesion, The Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure is defined as the value of bearing capacity factor dependent on cohesion when we have prior information of other parameters used. Bearing Capacity Factor dependent on Cohesion is denoted by N_c symbol.

How to evaluate Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure using this online evaluator? To use this online evaluator for Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure, enter Net Ultimate BC (q_nu), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Cohesion in Soil as Kilopascal (C) and hit the calculate button.

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

What is the formula to find Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure?

The formula of Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure is expressed as 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). Here is an example- 14.52756 = (87000-((45900*(2.01-1))+(0.5*2*18000*1.6)))/((2/3)*1270).

How to calculate Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure?

With Net Ultimate BC (q_nu), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Unit Weight of Soil (γ), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Cohesion in Soil as Kilopascal (C) we can find Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure using the formula - 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).

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

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

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

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

Other formulas in Local Shear Failure category

How to Evaluate Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure?

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

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