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Cohesion of Soil given Square Footing and Bearing Capacity Formula

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

C sq = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.8))}{1.3 \cdot N c}

C_sq - Cohesion of Soil given Square 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 Square Footing and Bearing Capacity Example

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

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

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

14.723 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

14.723kPa = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

14.723 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

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Cohesion of Soil given Square Footing and Bearing Capacity Solution

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

FIRST Step Consider the formula

C sq = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 0.8))}{1.3 \cdot N c}

Next Step Substitute values of Variables

∴

C sq = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

Next Step Convert Units

∴

C sq = \frac{60000Pa - ((10Pa \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

Next Step Prepare to Evaluate

∴

C sq = \frac{60000 - ((10 \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6 \cdot 0.8))}{1.3 \cdot 1.93}

Next Step Evaluate

∴

C sq = 14722.9573535273Pa

Next Step Convert to Output's Unit

∴

C sq = 14.7229573535273kPa

LAST Step Rounding Answer

∴

C sq = 14.723kPa

Cohesion of Soil given Square Footing and Bearing Capacity Formula Elements

Variables

Cohesion of Soil given Square Footing

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

Symbol: C_sq

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil given Square Footing

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

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity

Effective Surcharge

Effective Surcharge 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'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Surcharge

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

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

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

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

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

Other formulas in Specialization of Terzaghi's Equations category

Go Bearing Capacity depending on Shape Factors

q s = (s c \cdot C \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ)

Go Cohesion of Soil depending on Shape Factors

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}

How to Evaluate Cohesion of Soil given Square Footing and Bearing Capacity?

Cohesion of Soil given Square Footing and Bearing Capacity evaluator uses Cohesion of Soil given Square Footing = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/(1.3*Bearing Capacity Factor dependent on Cohesion) to evaluate the Cohesion of Soil given Square Footing, The Cohesion of Soil given Square Footing and Bearing Capacity formula is defined as the shear strength of soil. It represents the internal molecular attraction between soil particles. The cohesion of soil can vary depending on several factors, including the shape of the soil mass or the structural element under consideration, considering square footing. Cohesion of Soil given Square Footing is denoted by C_sq symbol.

How to evaluate Cohesion of Soil given Square Footing and Bearing Capacity using this online evaluator? To use this online evaluator for Cohesion of Soil given Square Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button.

FAQs on Cohesion of Soil given Square Footing and Bearing Capacity

What is the formula to find Cohesion of Soil given Square Footing and Bearing Capacity?

The formula of Cohesion of Soil given Square Footing and Bearing Capacity is expressed as Cohesion of Soil given Square Footing = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/(1.3*Bearing Capacity Factor dependent on Cohesion). Here is an example- 0.014723 = (60000-((10*2.01)+(0.5*18000*2*1.6*0.8)))/(1.3*1.93).

How to calculate Cohesion of Soil given Square Footing and Bearing Capacity?

With Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c) we can find Cohesion of Soil given Square Footing and Bearing Capacity using the formula - Cohesion of Soil given Square Footing = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)))/(1.3*Bearing Capacity Factor dependent on Cohesion).

Can the Cohesion of Soil given Square Footing and Bearing Capacity be negative?

No, the Cohesion of Soil given Square Footing and Bearing Capacity, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil given Square Footing and Bearing Capacity?

Cohesion of Soil given Square Footing and Bearing Capacity is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Cohesion of Soil given Square Footing and Bearing Capacity can be measured.

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Cohesion of Soil given Square Footing and Bearing Capacity Formula

Cohesion of Soil given Square Footing and Bearing Capacity Example

Cohesion of Soil given Square Footing and Bearing Capacity Solution

Cohesion of Soil given Square Footing and Bearing Capacity Formula Elements

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Cohesion of Soil given Square Footing and Bearing Capacity?

FAQs on Cohesion of Soil given Square Footing and Bearing Capacity

Variable Name