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Diameter of Circular Footing given Bearing Capacity Formula

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Diameter of Section is the diameter of the circular cross-section of the beam. Check FAQs

d section = \frac{q fc - (σ s \cdot N q)}{0.3 \cdot N γ \cdot γ}

d_section - Diameter of Section?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?

Diameter of Circular Footing given Bearing Capacity Example

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Here is how the Diameter of Circular Footing given Bearing Capacity equation looks like with Values.

Here is how the Diameter of Circular Footing given Bearing Capacity equation looks like with Units.

Here is how the Diameter of Circular Footing given Bearing Capacity equation looks like.

4.1135 = \frac{127.8 - (45.9 \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18}

4.1135m = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18kN/m³}

4.1135 = \frac{127.8 - (45.9 \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18}

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Diameter of Circular Footing given Bearing Capacity Solution

Follow our step by step solution on how to calculate Diameter of Circular Footing given Bearing Capacity?

FIRST Step Consider the formula

d section = \frac{q fc - (σ s \cdot N q)}{0.3 \cdot N γ \cdot γ}

Next Step Substitute values of Variables

∴

d section = \frac{127.8kPa - (45.9kN/m² \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18kN/m³}

Next Step Convert Units

∴

d section = \frac{127800Pa - (45900Pa \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18000N/m³}

Next Step Prepare to Evaluate

∴

d section = \frac{127800 - (45900 \cdot 2.01)}{0.3 \cdot 1.6 \cdot 18000}

Next Step Evaluate

∴

d section = 4.11354166666667m

LAST Step Rounding Answer

∴

d section = 4.1135m

Diameter of Circular Footing given Bearing Capacity Formula Elements

Variables

Diameter of Section

Diameter of Section is the diameter of the circular cross-section of the beam.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Section

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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}

See More

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How to Evaluate Diameter of Circular Footing given Bearing Capacity?

Diameter of Circular Footing given Bearing Capacity evaluator uses Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil) to evaluate the Diameter of Section, The Diameter of Circular Footing given Bearing Capacity is defined as the value of diameter of circular section when we have prior information of other parameters used. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Circular Footing given Bearing Capacity using this online evaluator? To use this online evaluator for Diameter of Circular 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 Diameter of Circular Footing given Bearing Capacity

What is the formula to find Diameter of Circular Footing given Bearing Capacity?

The formula of Diameter of Circular Footing given Bearing Capacity is expressed as Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). Here is an example- 4.166667 = (127800-(45900*2.01))/(0.3*1.6*18000).

How to calculate Diameter of Circular 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 Diameter of Circular Footing given Bearing Capacity using the formula - Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil).

Can the Diameter of Circular Footing given Bearing Capacity be negative?

Yes, the Diameter of Circular Footing given Bearing Capacity, measured in Length can be negative.

Which unit is used to measure Diameter of Circular Footing given Bearing Capacity?

Diameter of Circular 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 Diameter of Circular Footing given Bearing Capacity can be measured.

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