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Bearing capacity for Local Shear Failure given Depth of Footing Formula

GoBearing capacity for Local Shear Failure Formula

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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

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

q_f - Ultimate Bearing Capacity?C_s - Cohesion of Soil?N_c - Bearing Capacity Factor dependent on Cohesion?γ - Unit Weight of Soil?D - Depth of Footing?N_q - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Bearing capacity for Local Shear Failure given Depth of Footing Example

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Here is how the Bearing capacity for Local Shear Failure given Depth of Footing equation looks like with Values.

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

Here is how the Bearing capacity for Local Shear Failure given Depth of Footing equation looks like.

95.3418 = ((\frac{2}{3}) \cdot 5 \cdot 9) + ((18 \cdot 1.01) \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6)

95.3418kPa = ((\frac{2}{3}) \cdot 5kPa \cdot 9) + ((18kN/m³ \cdot 1.01m) \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

95.3418 = ((\frac{2}{3}) \cdot 5 \cdot 9) + ((18 \cdot 1.01) \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6)

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Bearing capacity for Local Shear Failure given Depth of Footing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q f = ((\frac{2}{3}) \cdot 5kPa \cdot 9) + ((18kN/m³ \cdot 1.01m) \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6)

Next Step Convert Units

∴

q f = ((\frac{2}{3}) \cdot 5000Pa \cdot 9) + ((18000N/m³ \cdot 1.01m) \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6)

Next Step Prepare to Evaluate

∴

q f = ((\frac{2}{3}) \cdot 5000 \cdot 9) + ((18000 \cdot 1.01) \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6)

Next Step Evaluate

∴

q f = 95341.8Pa

LAST Step Convert to Output's Unit

∴

q f = 95.3418kPa

Bearing capacity for Local Shear Failure given Depth of Footing 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: 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

Depth of Footing

Depth of Footing is the longer dimension of the footing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing

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

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 to find Ultimate Bearing Capacity

Go Bearing capacity for Local Shear Failure

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

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 Bearing capacity for Local Shear Failure given Depth of Footing?

Bearing capacity for Local Shear Failure given Depth of Footing evaluator uses 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) to evaluate the Ultimate Bearing Capacity, The Bearing capacity for Local Shear Failure given Depth of Footing is defined as local shear failure occurs when a foundation's depth is insufficient, causing soil shear failure beneath the footing. Ultimate Bearing Capacity is denoted by q_f symbol.

How to evaluate Bearing capacity for Local Shear Failure given Depth of Footing using this online evaluator? To use this online evaluator for Bearing capacity for Local Shear Failure given Depth of Footing, enter Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Bearing capacity for Local Shear Failure given Depth of Footing

What is the formula to find Bearing capacity for Local Shear Failure given Depth of Footing?

The formula of Bearing capacity for Local Shear Failure given Depth of Footing is expressed as 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). Here is an example- 0.09516 = ((2/3)*5000*9)+((18000*1.01)*2.01)+(0.5*18000*2*1.6).

How to calculate Bearing capacity for Local Shear Failure given Depth of Footing?

With Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Bearing capacity for Local Shear Failure given Depth of Footing using the formula - 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).

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)+(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)

Can the Bearing capacity for Local Shear Failure given Depth of Footing be negative?

No, the Bearing capacity for Local Shear Failure given Depth of Footing, measured in Pressure cannot be negative.

Which unit is used to measure Bearing capacity for Local Shear Failure given Depth of Footing?

Bearing capacity for Local Shear Failure given Depth of Footing 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 given Depth of Footing can be measured.

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Bearing capacity for Local Shear Failure given Depth of Footing Formula

​GoBearing capacity for Local Shear Failure Formula

Bearing capacity for Local Shear Failure given Depth of Footing Example

Bearing capacity for Local Shear Failure given Depth of Footing Solution

Bearing capacity for Local Shear Failure given Depth of Footing Formula Elements

Other Formulas to find Ultimate Bearing Capacity

Other formulas in General and Local Shear Failure category

How to Evaluate Bearing capacity for Local Shear Failure given Depth of Footing?

FAQs on Bearing capacity for Local Shear Failure given Depth of Footing

Variable Name

GoBearing capacity for Local Shear Failure Formula