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Cohesion of Soil depending on Shape Factors Formula

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Cohesion 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 f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ))}{s c \cdot N c}

C - Cohesion?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?s_γ - Shape Factor Dependent on Unit Weight?s_c - Shape Factor dependent on Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil depending on Shape Factors Example

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Here is how the Cohesion of Soil depending on Shape Factors equation looks like with Values.

Here is how the Cohesion of Soil depending on Shape Factors equation looks like with Units.

Here is how the Cohesion of Soil depending on Shape Factors equation looks like.

4.2365 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

4.2365kPa = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

4.2365 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

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Cohesion of Soil depending on Shape Factors Solution

Follow our step by step solution on how to calculate Cohesion of Soil depending on Shape Factors?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

Next Step Convert Units

∴

C = \frac{60000Pa - ((10Pa \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

Next Step Prepare to Evaluate

∴

C = \frac{60000 - ((10 \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6 \cdot 1.6))}{1.7 \cdot 1.93}

Next Step Evaluate

∴

C = 4236.48277964035Pa

Next Step Convert to Output's Unit

∴

C = 4.23648277964035kPa

LAST Step Rounding Answer

∴

C = 4.2365kPa

Cohesion of Soil depending on Shape Factors Formula Elements

Variables

Cohesion

Cohesion 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

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