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Depth of Footing given Bearing Capacity Factor Formula

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Depth of Footing in Soil is the longer dimension of the footing in soil mechanics. Check FAQs

D footing = \frac{q fc - ((C \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{γ \cdot N q}

D_footing - Depth of Footing in Soil?q_fc - Ultimate Bearing Capacity in Soil?C - Cohesion in Soil as Kilopascal?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?

Depth of Footing given Bearing Capacity Factor Example

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Here is how the Depth of Footing given Bearing Capacity Factor equation looks like with Values.

Here is how the Depth of Footing given Bearing Capacity Factor equation looks like with Units.

Here is how the Depth of Footing given Bearing Capacity Factor equation looks like.

2.4204 = \frac{127.8 - ((1.27 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{18 \cdot 2.01}

2.4204m = \frac{127.8kPa - ((1.27kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{18kN/m³ \cdot 2.01}

2.4204 = \frac{127.8 - ((1.27 \cdot 9) + (0.5 \cdot 18 \cdot 2 \cdot 1.6))}{18 \cdot 2.01}

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Depth of Footing given Bearing Capacity Factor Solution

Follow our step by step solution on how to calculate Depth of Footing given Bearing Capacity Factor?

FIRST Step Consider the formula

D footing = \frac{q fc - ((C \cdot N c) + (0.5 \cdot γ \cdot B \cdot N γ))}{γ \cdot N q}

Next Step Substitute values of Variables

∴

D footing = \frac{127.8kPa - ((1.27kPa \cdot 9) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6))}{18kN/m³ \cdot 2.01}

Next Step Convert Units

∴

D footing = \frac{127800Pa - ((1270Pa \cdot 9) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6))}{18000N/m³ \cdot 2.01}

Next Step Prepare to Evaluate

∴

D footing = \frac{127800 - ((1270 \cdot 9) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6))}{18000 \cdot 2.01}

Next Step Evaluate

∴

D footing = 2.42039800995025m

LAST Step Rounding Answer

∴

D footing = 2.4204m

Depth of Footing given Bearing Capacity Factor Formula Elements

Variables

Depth of Footing in Soil

Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.

Symbol: D_footing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing in 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

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 Terzaghi's Analysis in Water Table is Below the Base of Footing category

Go Ultimate Bearing Capacity given Bearing Capacity Factor

q f = (C s \cdot N c) + (γ \cdot D \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

Go Cohesion of Soil given Depth and Width of Footing

C = \frac{q fc - ((γ \cdot D footing \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

How to Evaluate Depth of Footing given Bearing Capacity Factor?

Depth of Footing given Bearing Capacity Factor evaluator uses Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge) to evaluate the Depth of Footing in Soil, The Depth of Footing given Bearing Capacity Factor is defined as the measure of soil strength to support a structure, determined by the Bearing Capacity Factor. Depth of Footing in Soil is denoted by D_footing symbol.

How to evaluate Depth of Footing given Bearing Capacity Factor using this online evaluator? To use this online evaluator for Depth of Footing given Bearing Capacity Factor, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), 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 Depth of Footing given Bearing Capacity Factor

What is the formula to find Depth of Footing given Bearing Capacity Factor?

The formula of Depth of Footing given Bearing Capacity Factor is expressed as Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge). Here is an example- 2.4325 = (127800-((1270*9)+(0.5*18000*2*1.6)))/(18000*2.01).

How to calculate Depth of Footing given Bearing Capacity Factor?

With Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), 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 Depth of Footing given Bearing Capacity Factor using the formula - Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge).

Can the Depth of Footing given Bearing Capacity Factor be negative?

No, the Depth of Footing given Bearing Capacity Factor, measured in Length cannot be negative.

Which unit is used to measure Depth of Footing given Bearing Capacity Factor?

Depth of Footing given Bearing Capacity Factor is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Footing given Bearing Capacity Factor can be measured.

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Depth of Footing given Bearing Capacity Factor Formula

Depth of Footing given Bearing Capacity Factor Example

Depth of Footing given Bearing Capacity Factor Solution

Depth of Footing given Bearing Capacity Factor Formula Elements

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

How to Evaluate Depth of Footing given Bearing Capacity Factor?

FAQs on Depth of Footing given Bearing Capacity Factor

Variable Name