Bearing Capacity for Purely Cohesive Soil given Depth of Footing Calculator

✖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%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+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%

✖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.ⓘ Bearing Capacity for Purely Cohesive Soil given Depth of Footing [q_f]

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Formula

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Bearing Capacity for Purely Cohesive Soil given Depth of Footing

Formula

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

Example

`"81.5418kPa"=(("5.0kPa"*"9")+(("18kN/m³"*"1.01m")*"2.01"))`

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Bearing Capacity for Purely Cohesive Soil given Depth of Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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

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)
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_f = ((C_s*N_c)+((γ*D)*N_q)) --> ((5000*9)+((18000*1.01)*2.01))

Evaluating ... ...

q_f = 81541.8

STEP 3: Convert Result to Output's Unit

81541.8 Pascal -->81.5418 Kilopascal (Check conversion here)

FINAL ANSWER

81.5418 Kilopascal <-- Ultimate Bearing Capacity

(Calculation completed in 00.004 seconds)

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

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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)

Bearing Capacity for Purely Cohesive Soil given Depth of Footing Formula

What is Cohesive Soil?

Cohesive soils are fine-grained, low-strength, and easily deformable soils that have a tendency for particles to adhere. The soil is classified as cohesive if the amount of fines (silt and clay-sized material) exceeds 50% by weight.

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

Bearing Capacity for Purely Cohesive Soil given Depth of Footing calculator uses 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)) to calculate the Ultimate Bearing Capacity, The Bearing Capacity for Purely Cohesive Soil given Depth of Footing is defined as its ability to support a footing at a specific depth without failure. Ultimate Bearing Capacity is denoted by q_f symbol.

How to calculate Bearing Capacity for Purely Cohesive Soil given Depth of Footing using this online calculator? To use this online calculator for Bearing Capacity for Purely Cohesive Soil given Depth of Footing, enter Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Bearing Capacity for Purely Cohesive Soil given Depth of Footing calculation can be explained with given input values -> 0.08136 = ((5000*9)+((18000*1.01)*2.01)).

FAQ

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

The Bearing Capacity for Purely Cohesive Soil given Depth of Footing is defined as its ability to support a footing at a specific depth without failure and is represented as q_f = ((C_s*N_c)+((γ*D)*N_q)) or 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)). 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, Depth of Footing is the longer dimension of the footing & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

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

The Bearing Capacity for Purely Cohesive Soil given Depth of Footing is defined as its ability to support a footing at a specific depth without failure is calculated using 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)). To calculate Bearing Capacity for Purely Cohesive Soil given Depth of Footing, you need Cohesion of Soil (C_s), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing (D) & Bearing Capacity Factor dependent on Surcharge (N_q). With our tool, you need to enter the respective value for Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing & 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 Ultimate Bearing Capacity?

In this formula, Ultimate Bearing Capacity uses Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing & Bearing Capacity Factor dependent on Surcharge. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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