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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. Check FAQs
qf=((23)⋅Cs⋅Nc)+(σs⋅Nq)+(0.5⋅γ⋅B⋅Nγ)
qf - Ultimate Bearing Capacity?Cs - Cohesion of Soil?Nc - Bearing Capacity Factor dependent on Cohesion?σs - Effective Surcharge in KiloPascal?Nq - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?B - Width of Footing?Nγ - Bearing Capacity Factor dependent on Unit Weight?

Bearing capacity for Local Shear Failure Example

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With units
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Here is how the Bearing capacity for Local Shear Failure equation looks like with Values.

Here is how the Bearing capacity for Local Shear Failure equation looks like with Units.

Here is how the Bearing capacity for Local Shear Failure equation looks like.

151.059Edit=((23)⋅5Edit⋅9Edit)+(45.9Edit⋅2.01Edit)+(0.5⋅18Edit⋅2Edit⋅1.6Edit)
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Bearing capacity for Local Shear Failure Solution

Follow our step by step solution on how to calculate Bearing capacity for Local Shear Failure?

FIRST Step Consider the formula
qf=((23)⋅Cs⋅Nc)+(σs⋅Nq)+(0.5⋅γ⋅B⋅Nγ)
Next Step Substitute values of Variables
∴ qf=((23)⋅5kPa⋅9)+(45.9kN/m²⋅2.01)+(0.5⋅18kN/m³⋅2m⋅1.6)
Next Step Convert Units
∴ qf=((23)⋅5000Pa⋅9)+(45900Pa⋅2.01)+(0.5⋅18000N/m³⋅2m⋅1.6)
Next Step Prepare to Evaluate
∴ qf=((23)⋅5000⋅9)+(45900⋅2.01)+(0.5⋅18000⋅2⋅1.6)
Next Step Evaluate
∴qf=151059Pa
LAST Step Convert to Output's Unit
∴qf=151.059kPa

Bearing capacity for Local Shear Failure Formula Elements

Variables
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: qf
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Formulas to find Ultimate Bearing CapacityOpen Variable
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: Cs
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Formulas to find Cohesion of SoilOpen Variable
Bearing Capacity Factor dependent on Cohesion
Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Symbol: Nc
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on CohesionOpen Variable
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: σs
Measurement: PressureUnit: kN/m²
Note: Value should be greater than 0.
Formulas to find Effective Surcharge in KiloPascalOpen Variable
Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Symbol: Nq
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on SurchargeOpen Variable
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 SoilOpen Variable
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 FootingOpen Variable
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: Nγ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on Unit WeightOpen Variable

Other Formulas to find Ultimate Bearing Capacity

​Go Bearing capacity for Local Shear Failure given Depth of Footing
qf=((23)⋅Cs⋅Nc)+((γ⋅D)⋅Nq)+(0.5⋅γ⋅B⋅Nγ)

Other formulas in General and Local Shear Failure category

​Go Mobilised Cohesion Corresponding to Local Shear Failure
Cm=(23)⋅Cs
​Go Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure
Cs=(32)⋅Cm

How to Evaluate Bearing capacity for Local Shear Failure?

Bearing capacity for Local Shear Failure evaluator uses Ultimate Bearing Capacity = ((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*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Ultimate Bearing Capacity, The Bearing capacity for Local Shear Failure is defined as soil strength against local shear failure, indicating the maximum load before shear failure occurs in soil. Ultimate Bearing Capacity is denoted by qf symbol.

How to evaluate Bearing capacity for Local Shear Failure using this online evaluator? To use this online evaluator for Bearing capacity for Local Shear Failure, enter Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal (σs), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ) and hit the calculate button.

FAQs on Bearing capacity for Local Shear Failure

What is the formula to find Bearing capacity for Local Shear Failure?
The formula of Bearing capacity for Local Shear Failure is expressed as Ultimate Bearing Capacity = ((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*Bearing Capacity Factor dependent on Unit Weight). Here is an example- 0.1506 = ((2/3)*5000*9)+(45900*2.01)+(0.5*18000*2*1.6).
How to calculate Bearing capacity for Local Shear Failure?
With Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge in KiloPascal (σs), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ) we can find Bearing capacity for Local Shear Failure using the formula - Ultimate Bearing Capacity = ((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*Bearing Capacity Factor dependent on Unit Weight).
What are the other ways to Calculate Ultimate Bearing Capacity?
Here are the different ways to Calculate Ultimate Bearing Capacity-
  • Ultimate Bearing Capacity=((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)OpenImg
Can the Bearing capacity for Local Shear Failure be negative?
No, the Bearing capacity for Local Shear Failure, measured in Pressure cannot be negative.
Which unit is used to measure Bearing capacity for Local Shear Failure?
Bearing capacity for Local Shear Failure is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Bearing capacity for Local Shear Failure can be measured.
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