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Depth of Footing given Value of Bearing Capacity Factor Formula

GoDepth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

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Depth of Footing is the longer dimension of the footing. Check FAQs

D = \frac{q f - (C s \cdot 5.7)}{γ}

D - Depth of Footing?q_f - Ultimate Bearing Capacity?C_s - Cohesion of Soil?γ - Unit Weight of Soil?

Depth of Footing given Value of Bearing Capacity Factor Example

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Here is how the Depth of Footing given Value of Bearing Capacity Factor equation looks like with Values.

Here is how the Depth of Footing given Value of Bearing Capacity Factor equation looks like with Units.

Here is how the Depth of Footing given Value of Bearing Capacity Factor equation looks like.

1.75 = \frac{60 - (5 \cdot 5.7)}{18}

1.75m = \frac{60kPa - (5kPa \cdot 5.7)}{18kN/m³}

1.75 = \frac{60 - (5 \cdot 5.7)}{18}

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Depth of Footing given Value of Bearing Capacity Factor Solution

Follow our step by step solution on how to calculate Depth of Footing given Value of Bearing Capacity Factor?

FIRST Step Consider the formula

D = \frac{q f - (C s \cdot 5.7)}{γ}

Next Step Substitute values of Variables

∴

D = \frac{60kPa - (5kPa \cdot 5.7)}{18kN/m³}

Next Step Convert Units

∴

D = \frac{60000Pa - (5000Pa \cdot 5.7)}{18000N/m³}

Next Step Prepare to Evaluate

∴

D = \frac{60000 - (5000 \cdot 5.7)}{18000}

LAST Step Evaluate

∴

D = 1.75m

Depth of Footing given Value of Bearing Capacity Factor Formula Elements

Variables

Depth of Footing

Depth of Footing is the longer dimension of the footing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth 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

Cohesion of Soil

Cohesion of Soil 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_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

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 Depth of Footing

Go Depth of Footing given Bearing Capacity for Purely Cohesive Soil

D = \frac{q f - (C s \cdot N c)}{γ \cdot N q}

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

Go Bearing Capacity for Purely Cohesive Soil

q f = ((C s \cdot N c) + (σ s \cdot N q))

Go Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

C s = \frac{q fc - (σ s \cdot N q)}{N c}

Go Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

N c = \frac{q fc - ((σ s) \cdot N q)}{C s}

Go Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

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

How to Evaluate Depth of Footing given Value of Bearing Capacity Factor?

Depth of Footing given Value of Bearing Capacity Factor evaluator uses Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil) to evaluate the Depth of Footing, The Depth of Footing given Value of Bearing Capacity Factor is defined as depth of footing is the foundation's depth below ground surface, determined by the bearing capacity factor for stability. Depth of Footing is denoted by D symbol.

How to evaluate Depth of Footing given Value of Bearing Capacity Factor using this online evaluator? To use this online evaluator for Depth of Footing given Value of Bearing Capacity Factor, enter Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s) & Unit Weight of Soil (γ) and hit the calculate button.

FAQs on Depth of Footing given Value of Bearing Capacity Factor

What is the formula to find Depth of Footing given Value of Bearing Capacity Factor?

The formula of Depth of Footing given Value of Bearing Capacity Factor is expressed as Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil). Here is an example- 3.972222 = (60000-(5000*5.7))/(18000).

How to calculate Depth of Footing given Value of Bearing Capacity Factor?

With Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s) & Unit Weight of Soil (γ) we can find Depth of Footing given Value of Bearing Capacity Factor using the formula - Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil).

What are the other ways to Calculate Depth of Footing?

Here are the different ways to Calculate Depth of Footing-

Depth of Footing=(Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Can the Depth of Footing given Value of Bearing Capacity Factor be negative?

No, the Depth of Footing given Value of Bearing Capacity Factor, measured in Length cannot be negative.

Which unit is used to measure Depth of Footing given Value of Bearing Capacity Factor?

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

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Depth of Footing given Value of Bearing Capacity Factor Formula

​GoDepth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

Depth of Footing given Value of Bearing Capacity Factor Example

Depth of Footing given Value of Bearing Capacity Factor Solution

Depth of Footing given Value of Bearing Capacity Factor Formula Elements

Other Formulas to find Depth of Footing

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

How to Evaluate Depth of Footing given Value of Bearing Capacity Factor?

FAQs on Depth of Footing given Value of Bearing Capacity Factor

Variable Name

GoDepth of Footing given Bearing Capacity for Purely Cohesive Soil Formula