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Cohesion of Soil for Rectangular Footing given Shape Factor Formula

GoCohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing Formula

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Cohesion in Soil as Kilopascal 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 fc - ((σ s \cdot N q) + ((0.5 \cdot γ \cdot B \cdot N γ) \cdot (1 - 0.2 \cdot (\frac{B}{L}))))}{(N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

C - Cohesion in Soil as Kilopascal?q_fc - Ultimate Bearing Capacity in Soil?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?L - Length of Footing?N_c - Bearing Capacity Factor dependent on Cohesion?

Cohesion of Soil for Rectangular Footing given Shape Factor Example

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Here is how the Cohesion of Soil for Rectangular Footing given Shape Factor equation looks like with Values.

Here is how the Cohesion of Soil for Rectangular Footing given Shape Factor equation looks like with Units.

Here is how the Cohesion of Soil for Rectangular Footing given Shape Factor equation looks like.

0.9296 = \frac{127.8 - ((45.9 \cdot 2.01) + ((0.5 \cdot 18 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

0.9296kPa = \frac{127.8kPa - ((45.9kN/m² \cdot 2.01) + ((0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

0.9296 = \frac{127.8 - ((45.9 \cdot 2.01) + ((0.5 \cdot 18 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

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Cohesion of Soil for Rectangular Footing given Shape Factor Solution

Follow our step by step solution on how to calculate Cohesion of Soil for Rectangular Footing given Shape Factor?

FIRST Step Consider the formula

C = \frac{q fc - ((σ s \cdot N q) + ((0.5 \cdot γ \cdot B \cdot N γ) \cdot (1 - 0.2 \cdot (\frac{B}{L}))))}{(N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

Next Step Substitute values of Variables

∴

C = \frac{127.8kPa - ((45.9kN/m² \cdot 2.01) + ((0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

Next Step Convert Units

∴

C = \frac{127800Pa - ((45900Pa \cdot 2.01) + ((0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2m}{4m}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

Next Step Prepare to Evaluate

∴

C = \frac{127800 - ((45900 \cdot 2.01) + ((0.5 \cdot 18000 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{(9) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

Next Step Evaluate

∴

C = 929.565217391306Pa

Next Step Convert to Output's Unit

∴

C = 0.929565217391306kPa

LAST Step Rounding Answer

∴

C = 0.9296kPa

Cohesion of Soil for Rectangular Footing given Shape Factor Formula Elements

Variables

Cohesion in Soil as Kilopascal

Cohesion in Soil as Kilopascal 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 in Soil as Kilopascal

Ultimate Bearing Capacity in Soil

Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.

Symbol: q_fc

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity in Soil

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

Length of Footing

Length of Footing is the length of the larger dimension of the footing.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Footing

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 in Soil as Kilopascal

Go Cohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing

C = \frac{q fc - ((σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ))}{(N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

Other formulas in Frictional Cohesive Soil category

Go Ultimate Bearing Capacity for Rectangular Footing

q fc = ((C \cdot N c) \cdot (1 + 0.3 \cdot (\frac{B}{L}))) + (σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ)

Go Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing

N c = \frac{q fc - ((σ s \cdot N q) + (0.4 \cdot γ \cdot B \cdot N γ))}{(C) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

How to Evaluate Cohesion of Soil for Rectangular Footing given Shape Factor?

Cohesion of Soil for Rectangular Footing given Shape Factor evaluator uses Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing))) to evaluate the Cohesion in Soil as Kilopascal, The Cohesion of Soil for Rectangular Footing given Shape Factor is defined as the value of cohesion of soil when we have prior information of other parameters used. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to evaluate Cohesion of Soil for Rectangular Footing given Shape Factor using this online evaluator? To use this online evaluator for Cohesion of Soil for Rectangular Footing given Shape Factor, enter Ultimate Bearing Capacity in Soil (q_fc), 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), Length of Footing (L) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button.

FAQs on Cohesion of Soil for Rectangular Footing given Shape Factor

What is the formula to find Cohesion of Soil for Rectangular Footing given Shape Factor?

The formula of Cohesion of Soil for Rectangular Footing given Shape Factor is expressed as Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing))). Here is an example- 0.000974 = (127800-((45900*2.01)+((0.5*18000*2*1.6)*(1-0.2*(2/4)))))/((9)*(1+0.3*(2/4))).

How to calculate Cohesion of Soil for Rectangular Footing given Shape Factor?

With Ultimate Bearing Capacity in Soil (q_fc), 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), Length of Footing (L) & Bearing Capacity Factor dependent on Cohesion (N_c) we can find Cohesion of Soil for Rectangular Footing given Shape Factor using the formula - Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+((0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)*(1-0.2*(Width of Footing/Length of Footing)))))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing))).

What are the other ways to Calculate Cohesion in Soil as Kilopascal?

Here are the different ways to Calculate Cohesion in Soil as Kilopascal-

Cohesion in Soil as Kilopascal=(Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((Bearing Capacity Factor dependent on Cohesion)*(1+0.3*(Width of Footing/Length of Footing)))

Can the Cohesion of Soil for Rectangular Footing given Shape Factor be negative?

No, the Cohesion of Soil for Rectangular Footing given Shape Factor, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil for Rectangular Footing given Shape Factor?

Cohesion of Soil for Rectangular Footing given Shape Factor 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 Rectangular Footing given Shape Factor can be measured.

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Cohesion of Soil for Rectangular Footing given Shape Factor Formula

​GoCohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing Formula

Cohesion of Soil for Rectangular Footing given Shape Factor Example

Cohesion of Soil for Rectangular Footing given Shape Factor Solution

Cohesion of Soil for Rectangular Footing given Shape Factor Formula Elements

Other Formulas to find Cohesion in Soil as Kilopascal

Other formulas in Frictional Cohesive Soil category

How to Evaluate Cohesion of Soil for Rectangular Footing given Shape Factor?

FAQs on Cohesion of Soil for Rectangular Footing given Shape Factor

Variable Name

GoCohesion of Soil given Ultimate Bearing Capacity for Rectangular Footing Formula