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Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Formula

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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. Check FAQs

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

C - Cohesion in Soil as Kilopascal?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?N_c - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Example

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Here is how the Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure equation looks like with Values.

Here is how the Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure equation looks like with Units.

Here is how the Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure equation looks like.

1.3157 = \frac{87 - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{9}

1.3157kPa = \frac{87kN/m² - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{9}

1.3157 = \frac{87 - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{9}

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Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Solution

Follow our step by step solution on how to calculate Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{87kN/m² - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{9}

Next Step Convert Units

∴

C = \frac{87000Pa - ((45900Pa \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18000N/m³ \cdot 1.6))}{9}

Next Step Prepare to Evaluate

∴

C = \frac{87000 - ((45900 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18000 \cdot 1.6))}{9}

Next Step Evaluate

∴

C = 1315.66666666667Pa

Next Step Convert to Output's Unit

∴

C = 1.31566666666667kPa

LAST Step Rounding Answer

∴

C = 1.3157kPa

Cohesion of Soil given Net Ultimate Bearing Capacity for General Shear Failure Formula Elements

Variables

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

Net Ultimate BC

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

Symbol: q_nu

Measurement: PressureUnit: kN/m²