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Unit Weight of Soil given Bearing Capacity for Local Shear Failure Formula

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Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil. Check FAQs

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

γ - Unit Weight of Soil?q_fc - Ultimate Bearing Capacity in Soil?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?N_γ - Bearing Capacity Factor dependent on Unit Weight?B - Width of Footing?

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Example

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Here is how the Unit Weight of Soil given Bearing Capacity for Local Shear Failure equation looks like with Values.

Here is how the Unit Weight of Soil given Bearing Capacity for Local Shear Failure equation looks like with Units.

Here is how the Unit Weight of Soil given Bearing Capacity for Local Shear Failure equation looks like.

17.4506 = \frac{127.8 - (((\frac{2}{3}) \cdot 1.27 \cdot 9) + (45.9 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2}

17.4506kN/m³ = \frac{127.8kPa - (((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + (45.9kN/m² \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m}

17.4506 = \frac{127.8 - (((\frac{2}{3}) \cdot 1.27 \cdot 9) + (45.9 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2}

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Unit Weight of Soil given Bearing Capacity for Local Shear Failure Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = \frac{127.8kPa - (((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + (45.9kN/m² \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m}

Next Step Convert Units

∴

γ = \frac{127800Pa - (((\frac{2}{3}) \cdot 1270Pa \cdot 9) + (45900Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m}

Next Step Prepare to Evaluate

∴

γ = \frac{127800 - (((\frac{2}{3}) \cdot 1270 \cdot 9) + (45900 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2}

Next Step Evaluate

∴

γ = 17450.625N/m³

Next Step Convert to Output's Unit

∴

γ = 17.450625kN/m³

LAST Step Rounding Answer

∴

γ = 17.4506kN/m³

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Formula Elements

Variables

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

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 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

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

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 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 Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

Unit Weight of Soil given Bearing Capacity for Local Shear Failure evaluator uses Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Bearing Capacity for Local Shear Failure is defined as the weight per unit volume; higher values enhance bearing capacity. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Bearing Capacity for Local Shear Failure using this online evaluator? To use this online evaluator for Unit Weight of Soil given Bearing Capacity for Local Shear Failure, enter Ultimate Bearing Capacity in Soil (q_fc), 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), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Width of Footing (B) and hit the calculate button.

FAQs on Unit Weight of Soil given Bearing Capacity for Local Shear Failure

What is the formula to find Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

The formula of Unit Weight of Soil given Bearing Capacity for Local Shear Failure is expressed as Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing). Here is an example- 0.017738 = (127800-(((2/3)*1270*9)+(45900*2.01)))/(0.5*1.6*2).

How to calculate Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

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

Can the Unit Weight of Soil given Bearing Capacity for Local Shear Failure be negative?

No, the Unit Weight of Soil given Bearing Capacity for Local Shear Failure, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

Unit Weight of Soil given Bearing Capacity for Local Shear Failure is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Bearing Capacity for Local Shear Failure can be measured.

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Unit Weight of Soil given Bearing Capacity for Local Shear Failure Formula

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Example

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Solution

Unit Weight of Soil given Bearing Capacity for Local Shear Failure Formula Elements

Other formulas in General and Local Shear Failure category

How to Evaluate Unit Weight of Soil given Bearing Capacity for Local Shear Failure?

FAQs on Unit Weight of Soil given Bearing Capacity for Local Shear Failure

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