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Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Formula

GoCohesion of Soil given Bearing Capacity for Purely Cohesive Soil Formula

GoCohesion of Soil given Value of Bearing Capacity Factor Formula

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Cohesion of Soil 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 s = \frac{q f - ((γ \cdot D) \cdot N q)}{N c}

C_s - Cohesion of Soil?q_f - Ultimate Bearing Capacity?γ - Unit Weight of Soil?D - Depth of Footing?N_q - Bearing Capacity Factor dependent on Surcharge?N_c - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Example

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Here is how the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing equation looks like with Values.

Here is how the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing equation looks like with Units.

Here is how the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing equation looks like.

2.6065 = \frac{60 - ((18 \cdot 1.01) \cdot 2.01)}{9}

2.6065kPa = \frac{60kPa - ((18kN/m³ \cdot 1.01m) \cdot 2.01)}{9}

2.6065 = \frac{60 - ((18 \cdot 1.01) \cdot 2.01)}{9}

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Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Solution

Follow our step by step solution on how to calculate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

FIRST Step Consider the formula

C s = \frac{q f - ((γ \cdot D) \cdot N q)}{N c}

Next Step Substitute values of Variables

∴

C s = \frac{60kPa - ((18kN/m³ \cdot 1.01m) \cdot 2.01)}{9}

Next Step Convert Units

∴

C s = \frac{60000Pa - ((18000N/m³ \cdot 1.01m) \cdot 2.01)}{9}

Next Step Prepare to Evaluate

∴

C s = \frac{60000 - ((18000 \cdot 1.01) \cdot 2.01)}{9}

Next Step Evaluate

∴

C s = 2606.46666666667Pa

Next Step Convert to Output's Unit

∴

C s = 2.60646666666667kPa

LAST Step Rounding Answer

∴

C s = 2.6065kPa

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Formula Elements

Variables

Cohesion of Soil

Cohesion of Soil 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_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

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

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

Depth of Footing

Depth of Footing is the longer dimension of the footing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing

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

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 to find Cohesion of Soil

Go Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

C s = \frac{q fc - (σ s \cdot N q)}{N c}

Go Cohesion of Soil given Value of Bearing Capacity Factor

C s = \frac{q f - (σ s)}{5.7}

Go Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil

C s = \frac{q f - (γ \cdot D)}{5.7}

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

Go Bearing Capacity for Purely Cohesive Soil

q f = ((C s \cdot N c) + (σ s \cdot N q))

Go Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

N c = \frac{q fc - ((σ s) \cdot N q)}{C s}

Go Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

σ s = \frac{q f - (C s \cdot N c)}{N q}

Go Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil

N q = \frac{q f - (C s \cdot N c)}{σ s}

How to Evaluate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing evaluator uses Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion to evaluate the Cohesion of Soil, The Cohesion of Soil for Purely Cohesive Soil given Depth of Footing is defined as the internal molecular attraction resisting shearing forces, crucial for determining footing stability with depth. Cohesion of Soil is denoted by C_s symbol.

How to evaluate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing using this online evaluator? To use this online evaluator for Cohesion of Soil for Purely Cohesive Soil given Depth of Footing, enter Ultimate Bearing Capacity (q_f), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button.

FAQs on Cohesion of Soil for Purely Cohesive Soil given Depth of Footing

What is the formula to find Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

The formula of Cohesion of Soil for Purely Cohesive Soil given Depth of Footing is expressed as Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion. Here is an example- 0.002627 = (60000-((18000*1.01)*2.01))/9.

How to calculate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

With Ultimate Bearing Capacity (q_f), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Cohesion (N_c) we can find Cohesion of Soil for Purely Cohesive Soil given Depth of Footing using the formula - Cohesion of Soil = (Ultimate Bearing Capacity-((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion.

What are the other ways to Calculate Cohesion of Soil?

Here are the different ways to Calculate Cohesion of Soil-

Cohesion of Soil=(Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion
Cohesion of Soil=(Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7
Cohesion of Soil=(Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7

Can the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing be negative?

No, the Cohesion of Soil for Purely Cohesive Soil given Depth of Footing, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing 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 for Purely Cohesive Soil given Depth of Footing can be measured.

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Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Formula

​GoCohesion of Soil given Bearing Capacity for Purely Cohesive Soil Formula

​GoCohesion of Soil given Value of Bearing Capacity Factor Formula

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Example

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Solution

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing Formula Elements

Other Formulas to find Cohesion of Soil

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

How to Evaluate Cohesion of Soil for Purely Cohesive Soil given Depth of Footing?

FAQs on Cohesion of Soil for Purely Cohesive Soil given Depth of Footing

Variable Name

GoCohesion of Soil given Bearing Capacity for Purely Cohesive Soil Formula

GoCohesion of Soil given Value of Bearing Capacity Factor Formula