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Width of Footing given Bearing Capacity for Square Footing Formula

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Width of Footing is the shorter dimension of the footing. Check FAQs

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

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?L - Length of Footing?

Width of Footing given Bearing Capacity for Square Footing Example

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

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

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

3.1146 = ((\frac{60 - 45.9}{1.27 \cdot 9}) - 1) \cdot (\frac{4}{0.3})

3.1146m = ((\frac{60kPa - 45.9kN/m²}{1.27kPa \cdot 9}) - 1) \cdot (\frac{4m}{0.3})

3.1146 = ((\frac{60 - 45.9}{1.27 \cdot 9}) - 1) \cdot (\frac{4}{0.3})

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Width of Footing given Bearing Capacity for Square Footing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = ((\frac{60kPa - 45.9kN/m²}{1.27kPa \cdot 9}) - 1) \cdot (\frac{4m}{0.3})

Next Step Convert Units

∴

B = ((\frac{60000Pa - 45900Pa}{1270Pa \cdot 9}) - 1) \cdot (\frac{4m}{0.3})

Next Step Prepare to Evaluate

∴

B = ((\frac{60000 - 45900}{1270 \cdot 9}) - 1) \cdot (\frac{4}{0.3})

Next Step Evaluate

∴

B = 3.11461067366579m

LAST Step Rounding Answer

∴

B = 3.1146m

Width of Footing given Bearing Capacity for Square Footing Formula Elements

Variables

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

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

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 Width of Footing given Bearing Capacity for Square Footing?

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

How to evaluate Width of Footing given Bearing Capacity for Square Footing using this online evaluator? To use this online evaluator for Width of Footing given Bearing Capacity for Square Footing, enter 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) & Length of Footing (L) and hit the calculate button.

FAQs on Width of Footing given Bearing Capacity for Square Footing

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

The formula of Width of Footing given Bearing Capacity for Square Footing is expressed as Width of Footing = (((Ultimate Bearing Capacity-Effective Surcharge in KiloPascal)/(Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion))-1)*(Length of Footing/0.3). Here is an example- 3.114611 = (((60000-45900)/(1270*9))-1)*(4/0.3).

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

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

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

No, the Width of Footing given Bearing Capacity for Square Footing, measured in Length cannot be negative.

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

Width 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 Width of Footing given Bearing Capacity for Square Footing can be measured.

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Width of Footing given Bearing Capacity for Square Footing Formula

Width of Footing given Bearing Capacity for Square Footing Example

Width of Footing given Bearing Capacity for Square Footing Solution

Width of Footing given Bearing Capacity for Square Footing Formula Elements

Other formulas in Bearing Capacity of Cohesive Soil category

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

FAQs on Width of Footing given Bearing Capacity for Square Footing

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