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Net Ultimate Bearing Capacity for Local Shear Failure Formula

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Net Ultimate BC is the minimum net pressure intensity causing shear failure. Check FAQs

q nu = ((\frac{2}{3}) \cdot C \cdot N c) + (σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ)

q_nu - Net Ultimate BC?C - Cohesion in Soil as Kilopascal?N_c - Bearing Capacity Factor dependent on Cohesion?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Net Ultimate Bearing Capacity for Local Shear Failure Example

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Here is how the Net Ultimate Bearing Capacity for Local Shear Failure equation looks like with Values.

Here is how the Net Ultimate Bearing Capacity for Local Shear Failure equation looks like with Units.

Here is how the Net Ultimate Bearing Capacity for Local Shear Failure equation looks like.

82.779 = ((\frac{2}{3}) \cdot 1.27 \cdot 9) + (45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6)

82.779kN/m² = ((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6)

82.779 = ((\frac{2}{3}) \cdot 1.27 \cdot 9) + (45.9 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18 \cdot 1.6)

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Net Ultimate Bearing Capacity for Local Shear Failure Solution

Follow our step by step solution on how to calculate Net Ultimate Bearing Capacity for Local Shear Failure?

FIRST Step Consider the formula

q nu = ((\frac{2}{3}) \cdot C \cdot N c) + (σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ)

Next Step Substitute values of Variables

∴

q nu = ((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6)

Next Step Convert Units

∴

q nu = ((\frac{2}{3}) \cdot 1270Pa \cdot 9) + (45900Pa \cdot (2.01 - 1)) + (0.5 \cdot 2m \cdot 18000N/m³ \cdot 1.6)

Next Step Prepare to Evaluate

∴

q nu = ((\frac{2}{3}) \cdot 1270 \cdot 9) + (45900 \cdot (2.01 - 1)) + (0.5 \cdot 2 \cdot 18000 \cdot 1.6)

Next Step Evaluate

∴

q nu = 82779Pa

LAST Step Convert to Output's Unit

∴

q nu = 82.779kN/m²

Net Ultimate Bearing Capacity for Local Shear Failure Formula Elements

Variables

Net Ultimate BC

Net Ultimate BC is the minimum net pressure intensity causing shear failure.

Symbol: q_nu

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Ultimate BC

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

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

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

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

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

Other formulas in Local Shear Failure category

Go Cohesion of Soil given Net Ultimate Bearing Capacity for Local Shear Failure

C = \frac{q nu - ((σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ))}{(\frac{2}{3}) \cdot N c}

Go Bearing Capacity Factor Dependent on Cohesion for Case of Local Shear Failure

N c = \frac{q nu - ((σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ))}{(\frac{2}{3}) \cdot C}

How to Evaluate Net Ultimate Bearing Capacity for Local Shear Failure?

Net Ultimate Bearing Capacity for Local Shear Failure evaluator uses Net Ultimate BC = ((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Net Ultimate BC, The Net Ultimate Bearing Capacity for Local Shear Failure is defined as the value of net ultimate bearing capacity when we have prior information of other parameters used. Net Ultimate BC is denoted by q_nu symbol.

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

FAQs on Net Ultimate Bearing Capacity for Local Shear Failure

What is the formula to find Net Ultimate Bearing Capacity for Local Shear Failure?

The formula of Net Ultimate Bearing Capacity for Local Shear Failure is expressed as Net Ultimate BC = ((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight). Here is an example- 0.08232 = ((2/3)*1270*9)+(45900*(2.01-1))+(0.5*2*18000*1.6).

How to calculate Net Ultimate Bearing Capacity for Local Shear Failure?

With Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Net Ultimate Bearing Capacity for Local Shear Failure using the formula - Net Ultimate BC = ((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight).

Can the Net Ultimate Bearing Capacity for Local Shear Failure be negative?

No, the Net Ultimate Bearing Capacity for Local Shear Failure, measured in Pressure cannot be negative.

Which unit is used to measure Net Ultimate Bearing Capacity for Local Shear Failure?

Net Ultimate Bearing Capacity for Local Shear Failure is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Net Ultimate Bearing Capacity for Local Shear Failure can be measured.

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Net Ultimate Bearing Capacity for Local Shear Failure Formula

Net Ultimate Bearing Capacity for Local Shear Failure Example

Net Ultimate Bearing Capacity for Local Shear Failure Solution

Net Ultimate Bearing Capacity for Local Shear Failure Formula Elements

Other formulas in Local Shear Failure category

How to Evaluate Net Ultimate Bearing Capacity for Local Shear Failure?

FAQs on Net Ultimate Bearing Capacity for Local Shear Failure

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