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Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Formula

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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. Check FAQs

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

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

Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Example

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Here is how the Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure equation looks like with Values.

Here is how the Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure equation looks like with Units.

Here is how the Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure equation looks like.

46.3069 = \frac{87 - ((1.27 \cdot 9) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{2.01 - 1}

46.3069kN/m² = \frac{87kN/m² - ((1.27kPa \cdot 9) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{2.01 - 1}

46.3069 = \frac{87 - ((1.27 \cdot 9) + (0.5 \cdot 2 \cdot 18 \cdot 1.6))}{2.01 - 1}

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Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Solution

Follow our step by step solution on how to calculate Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ s = \frac{87kN/m² - ((1.27kPa \cdot 9) + (0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6))}{2.01 - 1}

Next Step Convert Units

∴

σ s = \frac{87000Pa - ((1270Pa \cdot 9) + (0.5 \cdot 2m \cdot 18000N/m³ \cdot 1.6))}{2.01 - 1}

Next Step Prepare to Evaluate

∴

σ s = \frac{87000 - ((1270 \cdot 9) + (0.5 \cdot 2 \cdot 18000 \cdot 1.6))}{2.01 - 1}

Next Step Evaluate

∴

σ s = 46306.9306930693Pa

Next Step Convert to Output's Unit

∴

σ s = 46.3069306930693kN/m²

LAST Step Rounding Answer

∴

σ s = 46.3069kN/m²

Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Formula Elements

Variables

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

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

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

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

Other formulas in General Shear Failure category

Go Net Ultimate Bearing Capacity for General Shear Failure

q nu = (C \cdot N c) + (σ s \cdot (N q - 1)) + (0.5 \cdot B \cdot γ \cdot N γ)

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

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

How to Evaluate Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

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

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

FAQs on Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure

What is the formula to find Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

The formula of Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure is expressed as Effective Surcharge in KiloPascal = (Net Ultimate BC-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Surcharge-1). Here is an example- 0.04677 = (87000-((1270*9)+(0.5*2*18000*1.6)))/(2.01-1).

How to calculate Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

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

Can the Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure be negative?

No, the Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure, measured in Pressure cannot be negative.

Which unit is used to measure Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

Effective Surcharge given Net Ultimate Bearing Capacity for General 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 Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure can be measured.

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Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Formula

Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Example

Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Solution

Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure Formula Elements

Other formulas in General Shear Failure category

How to Evaluate Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure?

FAQs on Effective Surcharge given Net Ultimate Bearing Capacity for General Shear Failure

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