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Width of Square Footing given Bearing Capacity Formula

GoWidth of Strip Footing given Bearing Capacity Formula

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

B = \frac{q fc - (σ s \cdot N q)}{0.4 \cdot N γ \cdot γ}

B - Width of Footing?q_fc - Ultimate Bearing Capacity in Soil?σ_s - Effective Surcharge in KiloPascal?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?γ - Unit Weight of Soil?

Width of Square Footing given Bearing Capacity Example

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

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

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

3.0852 = \frac{127.8 - (45.9 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18}

3.0852m = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18kN/m³}

3.0852 = \frac{127.8 - (45.9 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18}

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Width of Square Footing given Bearing Capacity Solution

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

FIRST Step Consider the formula

B = \frac{q fc - (σ s \cdot N q)}{0.4 \cdot N γ \cdot γ}

Next Step Substitute values of Variables

∴

B = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18kN/m³}

Next Step Convert Units

∴

B = \frac{127800Pa - (45900Pa \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18000N/m³}

Next Step Prepare to Evaluate

∴

B = \frac{127800 - (45900 \cdot 2.01)}{0.4 \cdot 1.6 \cdot 18000}

Next Step Evaluate

∴

B = 3.08515625m

LAST Step Rounding Answer

∴

B = 3.0852m

Width of Square Footing given Bearing Capacity 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 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

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

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

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

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

Other Formulas to find Width of Footing

Go Width of Strip Footing given Bearing Capacity

B = \frac{q fc - (σ s \cdot N q)}{0.5 \cdot N γ \cdot γ}

Other formulas in Bearing Capacity of Non cohesive Soil category

Go Bearing Capacity of Non Cohesive Soil for Strip Footing

q fc = (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ)

Go Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Strip Footing

σ s = \frac{q fc - (0.5 \cdot γ \cdot B \cdot N γ)}{N q}

Go Bearing Capacity Factor Dependent on Surcharge for Strip Footing

N q = \frac{q fc - (0.5 \cdot γ \cdot B \cdot N γ)}{σ s}

Go Bearing Capacity Factor Dependent on Unit Weight for Strip Footing

N γ = \frac{q fc - (σ s \cdot N q)}{0.5 \cdot γ \cdot B}

How to Evaluate Width of Square Footing given Bearing Capacity?

Width of Square Footing given Bearing Capacity evaluator uses Width of Footing = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil) to evaluate the Width of Footing, The Width of Square Footing given Bearing Capacity 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 Square Footing given Bearing Capacity using this online evaluator? To use this online evaluator for Width of Square Footing given Bearing Capacity, enter Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ) and hit the calculate button.

FAQs on Width of Square Footing given Bearing Capacity

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

The formula of Width of Square Footing given Bearing Capacity is expressed as Width of Footing = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). Here is an example- 3.125 = (127800-(45900*2.01))/(0.4*1.6*18000).

How to calculate Width of Square Footing given Bearing Capacity?

With Ultimate Bearing Capacity in Soil (q_fc), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ) we can find Width of Square Footing given Bearing Capacity using the formula - Width of Footing = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil).

What are the other ways to Calculate Width of Footing?

Here are the different ways to Calculate Width of Footing-

Width of Footing=(Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

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

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

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

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

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Width of Square Footing given Bearing Capacity Formula

​GoWidth of Strip Footing given Bearing Capacity Formula

Width of Square Footing given Bearing Capacity Example

Width of Square Footing given Bearing Capacity Solution

Width of Square Footing given Bearing Capacity Formula Elements

Other Formulas to find Width of Footing

Other formulas in Bearing Capacity of Non cohesive Soil category

How to Evaluate Width of Square Footing given Bearing Capacity?

FAQs on Width of Square Footing given Bearing Capacity

Variable Name

GoWidth of Strip Footing given Bearing Capacity Formula