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Cohesion of Soil given Safe Bearing Capacity Formula

GoCohesion of Soil given Net Ultimate Bearing Capacity 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 sa \cdot f s) - (f s \cdot σ')) - ((σ s \cdot (N q - 1)) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

C_s - Cohesion of Soil?q_sa - Safe Bearing Capacity?f_s - Factor of Safety?σ' - Effective Surcharge?σ_s - Effective Surcharge in KiloPascal?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 Safe Bearing Capacity Example

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

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

Here is how the Cohesion of Soil given Safe Bearing Capacity equation looks like.

13.4237 = \frac{((70 \cdot 2.8) - (2.8 \cdot 10)) - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{9}

13.4237kPa = \frac{((70kN/m² \cdot 2.8) - (2.8 \cdot 10Pa)) - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{9}

13.4237 = \frac{((70 \cdot 2.8) - (2.8 \cdot 10)) - ((45.9 \cdot (2.01 - 1)) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{9}

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Cohesion of Soil given Safe Bearing Capacity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C s = \frac{((70kN/m² \cdot 2.8) - (2.8 \cdot 10Pa)) - ((45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{9}

Next Step Convert Units

∴

C s = \frac{((70000Pa \cdot 2.8) - (2.8 \cdot 10Pa)) - ((45900Pa \cdot (2.01 - 1)) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6))}{9}

Next Step Prepare to Evaluate

∴

C s = \frac{((70000 \cdot 2.8) - (2.8 \cdot 10)) - ((45900 \cdot (2.01 - 1)) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6))}{9}

Next Step Evaluate

∴

C s = 13423.6666666667Pa

Next Step Convert to Output's Unit

∴

C s = 13.4236666666667kPa

LAST Step Rounding Answer

∴

C s = 13.4237kPa

Cohesion of Soil given Safe Bearing Capacity 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

Safe Bearing Capacity

Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.

Symbol: q_sa

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Safe Bearing Capacity

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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

Effective Surcharge in KiloPascal

Effective Surcharge in KiloPascal 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_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge in KiloPascal

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 to find Cohesion of Soil

Go Cohesion of Soil given Net Ultimate Bearing Capacity

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

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

Go Ultimate Bearing Capacity given Bearing Capacity Factor

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

Go Cohesion of Soil given Depth and Width of Footing

C = \frac{q fc - ((γ \cdot D footing \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

How to Evaluate Cohesion of Soil given Safe Bearing Capacity?

Cohesion of Soil given Safe Bearing Capacity evaluator uses Cohesion of Soil = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge))-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion to evaluate the Cohesion of Soil, The Cohesion of Soil given Safe Bearing Capacity is defined as the maximum pressure a soil can support without shear failure; cohesion contributes to soil strength. Cohesion of Soil is denoted by C_s symbol.

How to evaluate Cohesion of Soil given Safe Bearing Capacity using this online evaluator? To use this online evaluator for Cohesion of Soil given Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge (σ'), Effective Surcharge in KiloPascal (σ_s), 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 Safe Bearing Capacity

What is the formula to find Cohesion of Soil given Safe Bearing Capacity?

The formula of Cohesion of Soil given Safe Bearing Capacity is expressed as Cohesion of Soil = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge))-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion. Here is an example- 0.013475 = (((70000*2.8)-(2.8*10))-((45900*(2.01-1))+(0.5*18000*2*1.6)))/9.

How to calculate Cohesion of Soil given Safe Bearing Capacity?

With Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge (σ'), Effective Surcharge in KiloPascal (σ_s), 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 Safe Bearing Capacity using the formula - Cohesion of Soil = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge))-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/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=(Net Ultimate Bearing Capacity-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion

Can the Cohesion of Soil given Safe Bearing Capacity be negative?

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

Which unit is used to measure Cohesion of Soil given Safe Bearing Capacity?

Cohesion of Soil given Safe 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 Safe Bearing Capacity can be measured.

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Cohesion of Soil given Safe Bearing Capacity Formula

​GoCohesion of Soil given Net Ultimate Bearing Capacity Formula

Cohesion of Soil given Safe Bearing Capacity Example

Cohesion of Soil given Safe Bearing Capacity Solution

Cohesion of Soil given Safe Bearing Capacity Formula Elements

Other Formulas to find Cohesion of Soil

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

How to Evaluate Cohesion of Soil given Safe Bearing Capacity?

FAQs on Cohesion of Soil given Safe Bearing Capacity

Variable Name

GoCohesion of Soil given Net Ultimate Bearing Capacity Formula