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Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Formula

GoBearing Capacity Factor Dependent on Cohesion for Rectangular Footing Formula

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Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil. Check FAQs

N 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}))))}{(C) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

N_c - Bearing Capacity Factor dependent on Cohesion?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?C - Cohesion in Soil as Kilopascal?

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Example

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Here is how the Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor equation looks like with Values.

Here is how the Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor equation looks like with Units.

Here is how the Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor equation looks like.

6.5875 = \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}))))}{(1.27) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

6.5875 = \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}))))}{(1.27kPa) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

6.5875 = \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}))))}{(1.27) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

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Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Solution

Follow our step by step solution on how to calculate Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor?

FIRST Step Consider the formula

N 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}))))}{(C) \cdot (1 + 0.3 \cdot (\frac{B}{L}))}

Next Step Substitute values of Variables

∴

N 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}))))}{(1.27kPa) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

Next Step Convert Units

∴

N 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}))))}{(1270Pa) \cdot (1 + 0.3 \cdot (\frac{2m}{4m}))}

Next Step Prepare to Evaluate

∴

N c = \frac{127800 - ((45900 \cdot 2.01) + ((0.5 \cdot 18000 \cdot 2 \cdot 1.6) \cdot (1 - 0.2 \cdot (\frac{2}{4}))))}{(1270) \cdot (1 + 0.3 \cdot (\frac{2}{4}))}

Next Step Evaluate

∴

N c = 6.58747004450532

LAST Step Rounding Answer

∴

N c = 6.5875

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Formula Elements

Variables

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

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

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

Other Formulas to find Bearing Capacity Factor dependent on Cohesion

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}))}

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 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}))}

How to Evaluate Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor?

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor evaluator uses Bearing Capacity Factor dependent on Cohesion = (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)))))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing))) to evaluate the Bearing Capacity Factor dependent on Cohesion, The Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor is defined as the value of bearing capacity factor dependent on cohesion when we have prior information of other parameters used. Bearing Capacity Factor dependent on Cohesion is denoted by N_c symbol.

How to evaluate Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor using this online evaluator? To use this online evaluator for Bearing Capacity Factor Dependent on Cohesion 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) & Cohesion in Soil as Kilopascal (C) and hit the calculate button.

FAQs on Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor

What is the formula to find Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor?

The formula of Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor is expressed as Bearing Capacity Factor dependent on Cohesion = (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)))))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing))). Here is an example- 6.901746 = (127800-((45900*2.01)+((0.5*18000*2*1.6)*(1-0.2*(2/4)))))/((1270)*(1+0.3*(2/4))).

How to calculate Bearing Capacity Factor Dependent on Cohesion 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) & Cohesion in Soil as Kilopascal (C) we can find Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor using the formula - Bearing Capacity Factor dependent on Cohesion = (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)))))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing))).

What are the other ways to Calculate Bearing Capacity Factor dependent on Cohesion?

Here are the different ways to Calculate Bearing Capacity Factor dependent on Cohesion-

Bearing Capacity Factor dependent on Cohesion=(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)))/((Cohesion in Soil as Kilopascal)*(1+0.3*(Width of Footing/Length of Footing)))

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Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Formula

​GoBearing Capacity Factor Dependent on Cohesion for Rectangular Footing Formula

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Example

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Solution

Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor Formula Elements

Other Formulas to find Bearing Capacity Factor dependent on Cohesion

Other formulas in Frictional Cohesive Soil category

How to Evaluate Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor?

FAQs on Bearing Capacity Factor Dependent on Cohesion for Rectangular Footing given Shape Factor

Variable Name

GoBearing Capacity Factor Dependent on Cohesion for Rectangular Footing Formula