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Length of Footing given Bearing Capacity for Square Footing Formula

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Length of Footing is the length of the larger dimension of the footing. Check FAQs

L = \frac{0.3 \cdot B}{(\frac{q f - σ s}{C \cdot N c}) - 1}

L - Length of Footing?B - Width of Footing?q_f - Ultimate Bearing Capacity?σ_s - Effective Surcharge in KiloPascal?C - Cohesion in Soil as Kilopascal?N_c - Bearing Capacity Factor dependent on Cohesion?

Length of Footing given Bearing Capacity for Square Footing Example

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Here is how the Length of Footing given Bearing Capacity for Square Footing equation looks like with Values.

Here is how the Length of Footing given Bearing Capacity for Square Footing equation looks like with Units.

Here is how the Length of Footing given Bearing Capacity for Square Footing equation looks like.

2.5685 = \frac{0.3 \cdot 2}{(\frac{60 - 45.9}{1.27 \cdot 9}) - 1}

2.5685m = \frac{0.3 \cdot 2m}{(\frac{60kPa - 45.9kN/m²}{1.27kPa \cdot 9}) - 1}

2.5685 = \frac{0.3 \cdot 2}{(\frac{60 - 45.9}{1.27 \cdot 9}) - 1}

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Length of Footing given Bearing Capacity for Square Footing Solution

Follow our step by step solution on how to calculate Length of Footing given Bearing Capacity for Square Footing?

FIRST Step Consider the formula

L = \frac{0.3 \cdot B}{(\frac{q f - σ s}{C \cdot N c}) - 1}

Next Step Substitute values of Variables

∴

L = \frac{0.3 \cdot 2m}{(\frac{60kPa - 45.9kN/m²}{1.27kPa \cdot 9}) - 1}

Next Step Convert Units

∴

L = \frac{0.3 \cdot 2m}{(\frac{60000Pa - 45900Pa}{1270Pa \cdot 9}) - 1}

Next Step Prepare to Evaluate

∴

L = \frac{0.3 \cdot 2}{(\frac{60000 - 45900}{1270 \cdot 9}) - 1}

Next Step Evaluate

∴

L = 2.5685393258427m

LAST Step Rounding Answer

∴

L = 2.5685m

Length of Footing given Bearing Capacity for Square Footing Formula Elements

Variables

Length of Footing

Length of Footing is the length of the larger dimension of the footing.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Footing

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

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

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

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

Other formulas in Bearing Capacity of Cohesive Soil category

Go Bearing Capacity of Cohesive Soil for Circular Footing

q f = (1.3 \cdot C \cdot N c) + σ s

Go Cohesion of Soil given Bearing Capacity for Circular Footing

C = \frac{q f - σ s}{1.3 \cdot N c}

Go Bearing Capacity Factor Dependent on Cohesion for Circular Footing

N c = \frac{q f - σ s}{1.3 \cdot C}

Go Effective Surcharge given Bearing Capacity for Circular Footing

σ s = (q f - (1.3 \cdot C \cdot N c))

How to Evaluate Length of Footing given Bearing Capacity for Square Footing?

Length of Footing given Bearing Capacity for Square Footing evaluator uses Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity-Effective Surcharge in KiloPascal)/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1) to evaluate the Length of Footing, The Length of Footing given Bearing Capacity for Square Footing is defined as the value of length of footing when we have prior information of other parameters used. Length of Footing is denoted by L symbol.

How to evaluate Length of Footing given Bearing Capacity for Square Footing using this online evaluator? To use this online evaluator for Length of Footing given Bearing Capacity for Square Footing, enter Width of Footing (B), Ultimate Bearing Capacity (q_f), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button.

FAQs on Length of Footing given Bearing Capacity for Square Footing

What is the formula to find Length of Footing given Bearing Capacity for Square Footing?

The formula of Length of Footing given Bearing Capacity for Square Footing is expressed as Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity-Effective Surcharge in KiloPascal)/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1). Here is an example- 2.568539 = (0.3*2)/(((60000-45900)/(1270*9))-1).

How to calculate Length of Footing given Bearing Capacity for Square Footing?

With Width of Footing (B), Ultimate Bearing Capacity (q_f), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C) & Bearing Capacity Factor dependent on Cohesion (N_c) we can find Length of Footing given Bearing Capacity for Square Footing using the formula - Length of Footing = (0.3*Width of Footing)/(((Ultimate Bearing Capacity-Effective Surcharge in KiloPascal)/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1).

Can the Length of Footing given Bearing Capacity for Square Footing be negative?

Yes, the Length of Footing given Bearing Capacity for Square Footing, measured in Length can be negative.

Which unit is used to measure Length of Footing given Bearing Capacity for Square Footing?

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

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Length of Footing given Bearing Capacity for Square Footing Formula

Length of Footing given Bearing Capacity for Square Footing Example

Length of Footing given Bearing Capacity for Square Footing Solution

Length of Footing given Bearing Capacity for Square Footing Formula Elements

Other formulas in Bearing Capacity of Cohesive Soil category

How to Evaluate Length of Footing given Bearing Capacity for Square Footing?

FAQs on Length of Footing given Bearing Capacity for Square Footing

Variable Name