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Depth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

GoDepth of Footing given Value of Bearing Capacity Factor Formula

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

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

D - Depth of Footing?q_f - Ultimate Bearing Capacity?C_s - Cohesion of Soil?N_c - Bearing Capacity Factor dependent on Cohesion?γ - Unit Weight of Soil?N_q - Bearing Capacity Factor dependent on Surcharge?

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Example

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Here is how the Depth of Footing given Bearing Capacity for Purely Cohesive Soil equation looks like with Values.

Here is how the Depth of Footing given Bearing Capacity for Purely Cohesive Soil equation looks like with Units.

Here is how the Depth of Footing given Bearing Capacity for Purely Cohesive Soil equation looks like.

0.4146 = \frac{60 - (5 \cdot 9)}{18 \cdot 2.01}

0.4146m = \frac{60kPa - (5kPa \cdot 9)}{18kN/m³ \cdot 2.01}

0.4146 = \frac{60 - (5 \cdot 9)}{18 \cdot 2.01}

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Depth of Footing given Bearing Capacity for Purely Cohesive Soil Solution

Follow our step by step solution on how to calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{60kPa - (5kPa \cdot 9)}{18kN/m³ \cdot 2.01}

Next Step Convert Units

∴

D = \frac{60000Pa - (5000Pa \cdot 9)}{18000N/m³ \cdot 2.01}

Next Step Prepare to Evaluate

∴

D = \frac{60000 - (5000 \cdot 9)}{18000 \cdot 2.01}

Next Step Evaluate

∴

D = 0.414593698175788m

LAST Step Rounding Answer

∴

D = 0.4146m

Depth of Footing given Bearing Capacity for Purely Cohesive Soil 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

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

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 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

Other Formulas to find Depth of Footing

Go Depth of Footing given Value of Bearing Capacity Factor

D = \frac{q f - (C s \cdot 5.7)}{γ}

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 Bearing Capacity for Purely Cohesive Soil?

Depth of Footing given Bearing Capacity for Purely Cohesive Soil evaluator uses 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) to evaluate the Depth of Footing, The Depth of Footing given Bearing Capacity for Purely Cohesive Soil is defined as value of depth of footing when we have prior information of other parameters used. Depth of Footing is denoted by D symbol.

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

FAQs on Depth of Footing given Bearing Capacity for Purely Cohesive Soil

What is the formula to find Depth of Footing given Bearing Capacity for Purely Cohesive Soil?

The formula of Depth of Footing given Bearing Capacity for Purely Cohesive Soil is expressed as 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). Here is an example- 0.416667 = (60000-(5000*9))/(18000*2.01).

How to calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil?

With Ultimate Bearing Capacity (q_f), Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Surcharge (N_q) we can find Depth of Footing given Bearing Capacity for Purely Cohesive Soil using the formula - 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).

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*5.7))/(Unit Weight of Soil)

Can the Depth of Footing given Bearing Capacity for Purely Cohesive Soil be negative?

No, the Depth of Footing given Bearing Capacity for Purely Cohesive Soil, measured in Length cannot be negative.

Which unit is used to measure Depth of Footing given Bearing Capacity for Purely Cohesive Soil?

Depth of Footing given Bearing Capacity for Purely Cohesive Soil 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 Bearing Capacity for Purely Cohesive Soil can be measured.

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Depth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

​GoDepth of Footing given Value of Bearing Capacity Factor Formula

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Example

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Solution

Depth of Footing given Bearing Capacity for Purely Cohesive Soil 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 Bearing Capacity for Purely Cohesive Soil?

FAQs on Depth of Footing given Bearing Capacity for Purely Cohesive Soil

Variable Name

GoDepth of Footing given Value of Bearing Capacity Factor Formula