Depth of Footing given Bearing Capacity for Purely Cohesive Soil Calculator

✖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.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖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.ⓘ Cohesion of Soil [C_s]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%

✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing given Bearing Capacity for Purely Cohesive Soil [D]

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Formula

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Depth of Footing given Bearing Capacity for Purely Cohesive Soil

Formula

`"D" = ("q"_{"f"}-("C"_{"s"}*"N"_{"c"}))/("γ"*"N"_{"q"})`

Example

`"0.414594m"=("60kPa"-("5.0kPa"*"9"))/("18kN/m³"*"2.01")`

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Download Terzaghi's Analysis: Purely Cohesive Soil Formulas PDF

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = (q_f-(C_s*N_c))/(γ*N_q)
This formula uses 6 Variables

Variables Used

Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
Ultimate Bearing Capacity - (Measured in Pascal) - 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.
Cohesion of Soil - (Measured in Pascal) - 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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (q_f-(C_s*N_c))/(γ*N_q) --> (60000-(5000*9))/(18000*2.01)

Evaluating ... ...

D = 0.414593698175788

STEP 3: Convert Result to Output's Unit

0.414593698175788 Meter --> No Conversion Required

FINAL ANSWER

0.414593698175788 ≈ 0.414594 Meter <-- Depth of Footing

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis: Shear Failure Theories » Terzaghi's Analysis: Purely Cohesive Soil » Depth of Footing given Bearing Capacity for Purely Cohesive Soil

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< 23 Terzaghi's Analysis: Purely Cohesive Soil Calculators

Bearing Capacity for Purely Cohesive Soil given Depth of Footing

Go 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))

Bearing Capacity Factor Dependent on Surcharge for Cohesive Soil given Depth of Footing

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

Bearing Capacity Factor Dependent on Cohesion for Cohesive Soil given Depth of Footing

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

Unit Weight of Soil given Bearing Capacity for Purely Cohesive Soil

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

Cohesion of Soil for Purely Cohesive Soil given Depth of Footing

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

Depth of Footing given Bearing Capacity for Purely Cohesive Soil

Go 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)

Passive Earth Pressure Coefficient given Bearing Capacity Factor

Go Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient

Go Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1)

Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal)*Bearing Capacity Factor dependent on Surcharge))/Cohesion of Soil

Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

Go Cohesion of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/Bearing Capacity Factor dependent on Cohesion

Bearing Capacity for Purely Cohesive Soil

Go Ultimate Bearing Capacity = ((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))

Bearing Capacity Factor Dependent on Surcharge for Purely Cohesive Soil

Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Effective Surcharge in KiloPascal

Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor Dependent on Surcharge given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Cohesion/cot((Angle of Shearing Resistance*pi)/180))+1

Bearing Capacity Factor Dependent on cohesion given Angle of Shearing Resistance

Go Bearing Capacity Factor dependent on Cohesion = (Bearing Capacity Factor dependent on Surcharge-1)*cot((Angle of Shearing Resistance))

Angle of Shearing Resistance given Bearing Capacity Factor

Go Angle of Shearing Resistance = acot(Bearing Capacity Factor dependent on Cohesion/(Bearing Capacity Factor dependent on Surcharge-1))

Unit Weight of Soil given Value of Bearing Capacity Factor

Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Depth of Footing)

Depth of Footing given Value of Bearing Capacity Factor

Go Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)

Cohesion of Soil for Purely Cohesive Soil given Unit Weight of Soil

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Unit Weight of Soil*Depth of Footing))/5.7

Bearing Capacity for Purely Cohesive Soil given Value of Bearing Capacity Factor

Go Ultimate Bearing Capacity = ((Cohesion of Soil*5.7)+(Effective Surcharge in KiloPascal))

Cohesion of Soil given Value of Bearing Capacity Factor

Go Cohesion of Soil = (Ultimate Bearing Capacity-(Effective Surcharge in KiloPascal))/5.7

Bearing Capacity for Purely Cohesive Soil given Unit Weight of Soil

Go Ultimate Bearing Capacity = (5.7*Cohesion of Soil)+Effective Surcharge in KiloPascal

Effective Surcharge given Value of Bearing Capacity Factor

Go Effective Surcharge in KiloPascal = Ultimate Bearing Capacity-(5.7*Cohesion of Soil)

Depth of Footing given Bearing Capacity for Purely Cohesive Soil Formula

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

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

Depth of Footing given Bearing Capacity for Purely Cohesive Soil calculator 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 calculate 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 calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil using this online calculator? To use this online calculator 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. Here is how the Depth of Footing given Bearing Capacity for Purely Cohesive Soil calculation can be explained with given input values -> 0.416667 = (60000-(5000*9))/(18000*2.01).

FAQ

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

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 and is represented as D = (q_f-(C_s*N_c))/(γ*N_q) or 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). 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, 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, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

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

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 is calculated using 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 calculate Depth of Footing given Bearing Capacity for Purely Cohesive Soil, you need 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). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil & Bearing Capacity Factor dependent on Surcharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depth of Footing?

In this formula, Depth of Footing uses Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil & Bearing Capacity Factor dependent on Surcharge. We can use 1 other way(s) to calculate the same, which is/are as follows -

Depth of Footing = (Ultimate Bearing Capacity-(Cohesion of Soil*5.7))/(Unit Weight of Soil)

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