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Width of Footing given Safe Bearing Capacity Formula

GoWidth of Footing given Ultimate Bearing Capacity Formula

GoWidth of Footing given Effective Surcharge Formula

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

B = \frac{((q sa \cdot f s) - (f s \cdot σ s)) - ((C \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot γ \cdot N γ}

B - Width of Footing?q_sa - Safe Bearing Capacity?f_s - Factor of Safety?σ_s - Effective Surcharge in KiloPascal?C - Cohesion in Soil as Kilopascal?N_c - Bearing Capacity Factor dependent on Cohesion?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Width of Footing given Safe Bearing Capacity Example

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

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

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

0.673 = \frac{((70 \cdot 2.8) - (2.8 \cdot 45.9)) - ((1.27 \cdot 9) + (45.9 \cdot (2.01 - 1)))}{0.5 \cdot 18 \cdot 1.6}

0.673m = \frac{((70kN/m² \cdot 2.8) - (2.8 \cdot 45.9kN/m²)) - ((1.27kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)))}{0.5 \cdot 18kN/m³ \cdot 1.6}

0.673 = \frac{((70 \cdot 2.8) - (2.8 \cdot 45.9)) - ((1.27 \cdot 9) + (45.9 \cdot (2.01 - 1)))}{0.5 \cdot 18 \cdot 1.6}

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Width of Footing given Safe Bearing Capacity Solution

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

FIRST Step Consider the formula

B = \frac{((q sa \cdot f s) - (f s \cdot σ s)) - ((C \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot γ \cdot N γ}

Next Step Substitute values of Variables

∴

B = \frac{((70kN/m² \cdot 2.8) - (2.8 \cdot 45.9kN/m²)) - ((1.27kPa \cdot 9) + (45.9kN/m² \cdot (2.01 - 1)))}{0.5 \cdot 18kN/m³ \cdot 1.6}

Next Step Convert Units

∴

B = \frac{((70000Pa \cdot 2.8) - (2.8 \cdot 45900Pa)) - ((1270Pa \cdot 9) + (45900Pa \cdot (2.01 - 1)))}{0.5 \cdot 18000N/m³ \cdot 1.6}

Next Step Prepare to Evaluate

∴

B = \frac{((70000 \cdot 2.8) - (2.8 \cdot 45900)) - ((1270 \cdot 9) + (45900 \cdot (2.01 - 1)))}{0.5 \cdot 18000 \cdot 1.6}

Next Step Evaluate

∴

B = 0.672986111111113m

LAST Step Rounding Answer

∴

B = 0.673m

Width of Footing given Safe 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

Safe Bearing Capacity

Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.

Symbol: q_sa

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Safe Bearing Capacity

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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

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

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

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

Other Formulas to find Width of Footing

Go Width of Footing given Ultimate Bearing Capacity

B = \frac{q fc - ((C \cdot N c) + (γ \cdot D footing \cdot N q))}{0.5 \cdot γ \cdot N γ}

Go Width of Footing given Effective Surcharge

B = \frac{q nf - ((C s \cdot N c) + (σ s \cdot (N q - 1)))}{0.5 \cdot γ \cdot N γ}

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

Go Ultimate Bearing Capacity given Bearing Capacity Factor

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

Go Cohesion of Soil given Depth and Width of Footing

C = \frac{q fc - ((γ \cdot D footing \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ))}{N c}

How to Evaluate Width of Footing given Safe Bearing Capacity?

Width of Footing given Safe Bearing Capacity evaluator uses Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Width of Footing, The Width of Footing given Safe Bearing Capacity is defined as the safe bearing capacity of soil by the allowable bearing pressure. Width of Footing is denoted by B symbol.

How to evaluate Width of Footing given Safe Bearing Capacity using this online evaluator? To use this online evaluator for Width of Footing given Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Width of Footing given Safe Bearing Capacity

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

The formula of Width of Footing given Safe Bearing Capacity is expressed as Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight). Here is an example- 0.704861 = (((70000*2.8)-(2.8*45900))-((1270*9)+(45900*(2.01-1))))/(0.5*18000*1.6).

How to calculate Width of Footing given Safe Bearing Capacity?

With Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Width of Footing given Safe Bearing Capacity using the formula - Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight).

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-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing in Soil*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing=(Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing=(Net Ultimate Bearing Capacity-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*(Bearing Capacity Factor dependent on Surcharge-1))))/(0.5*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)

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

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

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

Width of Footing given Safe 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 Safe Bearing Capacity can be measured.

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Width of Footing given Safe Bearing Capacity Formula

​GoWidth of Footing given Ultimate Bearing Capacity Formula

​GoWidth of Footing given Effective Surcharge Formula

Width of Footing given Safe Bearing Capacity Example

Width of Footing given Safe Bearing Capacity Solution

Width of Footing given Safe Bearing Capacity Formula Elements

Other Formulas to find Width of Footing

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

How to Evaluate Width of Footing given Safe Bearing Capacity?

FAQs on Width of Footing given Safe Bearing Capacity

Variable Name

GoWidth of Footing given Ultimate Bearing Capacity Formula

GoWidth of Footing given Effective Surcharge Formula