Cohesion of Soil given Round Footing and Bearing Capacity Formula

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Cohesion of Soil given Round Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart. Check FAQs

C r = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.6))}{1.3 \cdot N c}

C_r - Cohesion of Soil given Round Footing?q_f - Ultimate Bearing Capacity?σ' - Effective Surcharge?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?N_c - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil given Round Footing and Bearing Capacity Example

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Here is how the Cohesion of Soil given Round Footing and Bearing Capacity equation looks like with Values.

Here is how the Cohesion of Soil given Round Footing and Bearing Capacity equation looks like with Units.

Here is how the Cohesion of Soil given Round Footing and Bearing Capacity equation looks like.

17.0187 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

17.0187kPa = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

17.0187 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

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Cohesion of Soil given Round Footing and Bearing Capacity Solution

Follow our step by step solution on how to calculate Cohesion of Soil given Round Footing and Bearing Capacity?

FIRST Step Consider the formula

C r = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.6))}{1.3 \cdot N c}

Next Step Substitute values of Variables

∴

C r = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

Next Step Convert Units

∴

C r = \frac{60000Pa - ((10Pa \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

Next Step Prepare to Evaluate

∴

C r = \frac{60000 - ((10 \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6 \cdot 0.6))}{1.3 \cdot 1.93}

Next Step Evaluate

∴

C r = 17018.6927062575Pa

Next Step Convert to Output's Unit

∴

C r = 17.0186927062575kPa

LAST Step Rounding Answer

∴

C r = 17.0187kPa

Cohesion of Soil given Round Footing and Bearing Capacity Formula Elements

Variables

Cohesion of Soil given Round Footing

Cohesion of Soil given Round Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.

Symbol: C_r

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Ultimate Bearing Capacity

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.

Symbol: q_f

Measurement: PressureUnit: kPa