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Effective Surcharge given Bearing Capacity for Local 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 f - (((\frac{2}{3}) \cdot C s \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{N q}

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

Effective Surcharge given Bearing Capacity for Local Shear Failure Example

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

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

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

0.597 = \frac{60 - (((\frac{2}{3}) \cdot 5 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{2.01}

0.597kN/m² = \frac{60kPa - (((\frac{2}{3}) \cdot 5kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{2.01}

0.597 = \frac{60 - (((\frac{2}{3}) \cdot 5 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{2.01}

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Effective Surcharge given Bearing Capacity for Local Shear Failure Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ s = \frac{60kPa - (((\frac{2}{3}) \cdot 5kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{2.01}

Next Step Convert Units

∴

σ s = \frac{60000Pa - (((\frac{2}{3}) \cdot 5000Pa \cdot 9) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6))}{2.01}

Next Step Prepare to Evaluate

∴

σ s = \frac{60000 - (((\frac{2}{3}) \cdot 5000 \cdot 9) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6))}{2.01}

Next Step Evaluate

∴

σ s = 597.014925373134Pa

Next Step Convert to Output's Unit

∴

σ s = 0.597014925373134kN/m²

LAST Step Rounding Answer

∴

σ s = 0.597kN/m²

Effective Surcharge given Bearing Capacity for Local 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

Ultimate Bearing Capacity

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

Symbol: q_f

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity

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

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

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 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 Effective Surcharge given Bearing Capacity for Local Shear Failure?

Effective Surcharge given Bearing Capacity for Local Shear Failure evaluator uses Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge to evaluate the Effective Surcharge in KiloPascal, The Effective Surcharge given Bearing Capacity for Local Shear Failure is defined as surcharge is effective when it enhances soil bearing capacity, preventing local shear failure by distributing loads and increasing stability. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to evaluate Effective Surcharge given Bearing Capacity for Local Shear Failure using this online evaluator? To use this online evaluator for Effective Surcharge given Bearing Capacity for Local Shear Failure, enter Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), 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 Bearing Capacity for Local Shear Failure

What is the formula to find Effective Surcharge given Bearing Capacity for Local Shear Failure?

The formula of Effective Surcharge given Bearing Capacity for Local Shear Failure is expressed as Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Surcharge. Here is an example- 0.0006 = (60000-(((2/3)*5000*9)+(0.5*18000*2*1.6)))/2.01.

How to calculate Effective Surcharge given Bearing Capacity for Local Shear Failure?

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

Can the Effective Surcharge given Bearing Capacity for Local Shear Failure be negative?

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

Which unit is used to measure Effective Surcharge given Bearing Capacity for Local Shear Failure?

Effective Surcharge given 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 Effective Surcharge given Bearing Capacity for Local Shear Failure can be measured.

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Effective Surcharge given Bearing Capacity for Local Shear Failure Formula

Effective Surcharge given Bearing Capacity for Local Shear Failure Example

Effective Surcharge given Bearing Capacity for Local Shear Failure Solution

Effective Surcharge given Bearing Capacity for Local Shear Failure Formula Elements

Other formulas in General and Local Shear Failure category

How to Evaluate Effective Surcharge given Bearing Capacity for Local Shear Failure?

FAQs on Effective Surcharge given Bearing Capacity for Local Shear Failure

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