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Width of Footing given Round Footing and Bearing Capacity Formula

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Width of Footing for Round Footing is the shorter dimension of the round footing. Check FAQs

B round = \frac{q f - ((1.3 \cdot C \cdot N c) + (σ' \cdot N q))}{0.5 \cdot N γ \cdot γ \cdot 0.6}

B_round - Width of Footing for Round Footing?q_f - Ultimate Bearing Capacity?C - Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?σ' - Effective Surcharge?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?γ - Unit Weight of Soil?

Width of Footing given Round Footing and Bearing Capacity Example

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

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

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

5.7138 = \frac{60 - ((1.3 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18 \cdot 0.6}

5.7138m = \frac{60kPa - ((1.3 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18kN/m³ \cdot 0.6}

5.7138 = \frac{60 - ((1.3 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18 \cdot 0.6}

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Width of Footing given Round Footing and Bearing Capacity Solution

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

FIRST Step Consider the formula

B round = \frac{q f - ((1.3 \cdot C \cdot N c) + (σ' \cdot N q))}{0.5 \cdot N γ \cdot γ \cdot 0.6}

Next Step Substitute values of Variables

∴

B round = \frac{60kPa - ((1.3 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18kN/m³ \cdot 0.6}

Next Step Convert Units

∴

B round = \frac{60000Pa - ((1.3 \cdot 4230Pa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18000N/m³ \cdot 0.6}

Next Step Prepare to Evaluate

∴

B round = \frac{60000 - ((1.3 \cdot 4230 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18000 \cdot 0.6}

Next Step Evaluate

∴

B round = 5.71375347222222m

LAST Step Rounding Answer

∴

B round = 5.7138m

Width of Footing given Round Footing and Bearing Capacity Formula Elements

Variables

Width of Footing for Round Footing

Width of Footing for Round Footing is the shorter dimension of the round footing.

Symbol: B_round

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing for Round 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

Cohesion

Cohesion 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

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

Effective Surcharge

Effective Surcharge 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'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Surcharge

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 in Specialization of Terzaghi's Equations category

Go Bearing Capacity depending on Shape Factors

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

Go Cohesion of Soil depending on Shape Factors

C = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ))}{s c \cdot N c}

How to Evaluate Width of Footing given Round Footing and Bearing Capacity?

Width of Footing given Round Footing and Bearing Capacity evaluator uses Width of Footing for Round Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.6) to evaluate the Width of Footing for Round Footing, The Width of Footing given Round Footing and Bearing Capacity formula is defined as the value of the dimension of a circular or round footing necessary to support a structure or load safely on the soil. Width of Footing for Round Footing is denoted by B_round symbol.

How to evaluate Width of Footing given Round Footing and Bearing Capacity using this online evaluator? To use this online evaluator for Width of Footing given Round Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), 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 Footing given Round Footing and Bearing Capacity

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

The formula of Width of Footing given Round Footing and Bearing Capacity is expressed as Width of Footing for Round Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.6). Here is an example- 5.713753 = (60000-((1.3*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*0.6).

How to calculate Width of Footing given Round Footing and Bearing Capacity?

With Ultimate Bearing Capacity (q_f), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), 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 Footing given Round Footing and Bearing Capacity using the formula - Width of Footing for Round Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*0.6).

Can the Width of Footing given Round Footing and Bearing Capacity be negative?

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

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

Width of Footing given Round Footing and 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 Footing given Round Footing and Bearing Capacity can be measured.

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Width of Footing given Round Footing and Bearing Capacity Formula

Width of Footing given Round Footing and Bearing Capacity Example

Width of Footing given Round Footing and Bearing Capacity Solution

Width of Footing given Round Footing and Bearing Capacity Formula Elements

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Width of Footing given Round Footing and Bearing Capacity?

FAQs on Width of Footing given Round Footing and Bearing Capacity

Variable Name