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Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Formula

GoBearing Capacity Factor Dependent on Unit Weight given Dimension of Footing Formula

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Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil. Check FAQs

N γ = \frac{q fc - (((\frac{2}{3}) \cdot C s \cdot N c) + (σ s \cdot N q))}{0.5 \cdot γ \cdot B}

N_γ - Bearing Capacity Factor dependent on Unit Weight?q_fc - Ultimate Bearing Capacity in Soil?C_s - Cohesion of Soil?N_c - Bearing Capacity Factor dependent on Cohesion?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?B - Width of Footing?

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Example

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Here is how the Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure equation looks like with Values.

Here is how the Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure equation looks like with Units.

Here is how the Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure equation looks like.

0.3078 = \frac{127.8 - (((\frac{2}{3}) \cdot 5 \cdot 9) + (45.9 \cdot 2.01))}{0.5 \cdot 18 \cdot 2}

0.3078 = \frac{127.8kPa - (((\frac{2}{3}) \cdot 5kPa \cdot 9) + (45.9kN/m² \cdot 2.01))}{0.5 \cdot 18kN/m³ \cdot 2m}

0.3078 = \frac{127.8 - (((\frac{2}{3}) \cdot 5 \cdot 9) + (45.9 \cdot 2.01))}{0.5 \cdot 18 \cdot 2}

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Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Solution

Follow our step by step solution on how to calculate Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure?

FIRST Step Consider the formula

N γ = \frac{q fc - (((\frac{2}{3}) \cdot C s \cdot N c) + (σ s \cdot N q))}{0.5 \cdot γ \cdot B}

Next Step Substitute values of Variables

∴

N γ = \frac{127.8kPa - (((\frac{2}{3}) \cdot 5kPa \cdot 9) + (45.9kN/m² \cdot 2.01))}{0.5 \cdot 18kN/m³ \cdot 2m}

Next Step Convert Units

∴

N γ = \frac{127800Pa - (((\frac{2}{3}) \cdot 5000Pa \cdot 9) + (45900Pa \cdot 2.01))}{0.5 \cdot 18000N/m³ \cdot 2m}

Next Step Prepare to Evaluate

∴

N γ = \frac{127800 - (((\frac{2}{3}) \cdot 5000 \cdot 9) + (45900 \cdot 2.01))}{0.5 \cdot 18000 \cdot 2}

Next Step Evaluate

∴

N γ = 0.307833333333334

LAST Step Rounding Answer

∴

N γ = 0.3078

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Bearing Capacity Factor dependent on Unit Weight

Go Bearing Capacity Factor Dependent on Unit Weight given Dimension of Footing

N γ = \frac{q fc - (((\frac{2}{3}) \cdot C \cdot N c) + ((γ \cdot D footing) \cdot N q))}{0.5 \cdot γ \cdot B}

Other formulas in General and Local Shear Failure category

Go Mobilised Cohesion Corresponding to Local Shear Failure

C m = (\frac{2}{3}) \cdot C s

Go Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

C s = (\frac{3}{2}) \cdot C m

How to Evaluate Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure?

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure evaluator uses Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing) to evaluate the Bearing Capacity Factor dependent on Unit Weight, The Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure is defined as the value of bearing capacity factor dependent on the unit weight when we have prior information of other parameters used. Bearing Capacity Factor dependent on Unit Weight is denoted by N_γ symbol.

How to evaluate Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure using this online evaluator? To use this online evaluator for Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Width of Footing (B) and hit the calculate button.

FAQs on Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure

What is the formula to find Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure?

The formula of Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure is expressed as Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing). Here is an example- 0.333333 = (127800-(((2/3)*5000*9)+(45900*2.01)))/(0.5*18000*2).

How to calculate Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure?

With Ultimate Bearing Capacity in Soil (q_fc), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Width of Footing (B) we can find Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure using the formula - Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing).

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

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

Bearing Capacity Factor dependent on Unit Weight=(Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Width of Footing)

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Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Formula

​GoBearing Capacity Factor Dependent on Unit Weight given Dimension of Footing Formula

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Example

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Solution

Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure Formula Elements

Other Formulas to find Bearing Capacity Factor dependent on Unit Weight

Other formulas in General and Local Shear Failure category

How to Evaluate Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure?

FAQs on Bearing Capacity Factor Dependent on Unit Weight for Local Shear Failure

Variable Name

GoBearing Capacity Factor Dependent on Unit Weight given Dimension of Footing Formula