Depth of Footing given Bearing Capacity Factor Calculator

✖Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity in Soil [q_fc]			+10% -10%
✖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.ⓘ Cohesion in Soil as Kilopascal [C]			+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%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_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 in Soil is the longer dimension of the footing in soil mechanics.ⓘ Depth of Footing given Bearing Capacity Factor [D_footing]

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Formula

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Depth of Footing given Bearing Capacity Factor

Formula

`"D"_{"footing"} = ("q"_{"fc"}-(("C"*"N"_{"c"})+(0.5*"γ"*"B"*"N"_{"γ"})))/("γ"*"N"_{"q"})`

Example

`"2.420398m"=("127.8kPa"-(("1.27kPa"*"9")+(0.5*"18kN/m³"*"2m"*"1.6")))/("18kN/m³"*"2.01")`

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Download Terzaghi's Analysis: Water Table is Below the Base of Footing Formulas PDF

Depth of Footing given Bearing Capacity Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)
D_footing = (q_fc-((C*N_c)+(0.5*γ*B*N_γ)))/(γ*N_q)
This formula uses 8 Variables

Variables Used

Depth of Footing in Soil - (Measured in Meter) - Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - 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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
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 in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 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)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_footing = (q_fc-((C*N_c)+(0.5*γ*B*N_γ)))/(γ*N_q) --> (127800-((1270*9)+(0.5*18000*2*1.6)))/(18000*2.01)

Evaluating ... ...

D_footing = 2.42039800995025

STEP 3: Convert Result to Output's Unit

2.42039800995025 Meter --> No Conversion Required

FINAL ANSWER

2.42039800995025 ≈ 2.420398 Meter <-- Depth of Footing in Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis: Shear Failure Theories » Terzaghi's Analysis: Water Table is Below the Base of Footing » Depth of Footing given Bearing Capacity Factor

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< 25 Terzaghi's Analysis: Water Table is Below the Base of Footing Calculators

Width of Footing given Factor of Safety and Safe Bearing Capacity

Go Width of Footing = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*(Unit Weight of Soil*Depth of Footing)))-((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)

Safe Bearing Capacity given Depth and Width of Footing

Go Safe 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+(Unit Weight of Soil*Depth of Footing)

Factor of Safety given Depth and Width of Footing

Go Factor of Safety = ((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/(Safe Bearing Capacity-(Unit Weight of Soil*Depth of Footing))

Unit Weight of Soil given Safe Bearing Capacity

Go Unit Weight of Soil = (((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Width of Footing given Safe Bearing Capacity

Go 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)

Cohesion of Soil given Safe Bearing Capacity

Go Cohesion of Soil = (((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge))-((Effective Surcharge in KiloPascal*(Bearing Capacity Factor dependent on Surcharge-1))+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/Bearing Capacity Factor dependent on Cohesion

Safe Bearing Capacity given Bearing Capacity Factor

Go Safe 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Factor of Safety)+Effective Surcharge in KiloPascal

Factor of Safety given Bearing Capacity Factor

Go Factor of Safety = ((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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/(Safe Bearing Capacity-Effective Surcharge in KiloPascal)

Effective Surcharge given Safe Bearing Capacity

Go Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1)

Depth of Footing given Factor of Safety and Safe Bearing Capacity

Go Depth of Footing = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge)

Width of Footing given Ultimate Bearing Capacity

Go 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)

Depth of Footing given Bearing Capacity Factor

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

Cohesion of Soil given Depth and Width of Footing

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

Depth of Footing given Bearing Capacity Factor and Width of Footing

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

Width of Footing given Bearing Capacity Factor and Depth of Footing

Go 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)

Net Ultimate Bearing Capacity given Depth and Width of Footing

Go 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Unit Weight of Soil given Factor of Safety and Safe Bearing Capacity

Go Unit Weight of Soil = ((Safe Bearing Capacity*Factor of Safety)-((Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)))/((Bearing Capacity Factor dependent on Surcharge*Depth of Footing)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Ultimate Bearing Capacity given Bearing Capacity Factor

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)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Net Ultimate Bearing Capacity

Go Unit Weight of Soil = (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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Width of Footing given Effective Surcharge

Go 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)

Cohesion of Soil given Net Ultimate Bearing Capacity

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

Effective Surcharge given Bearing Capacity Factor

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

Net Ultimate Bearing Capacity given Bearing Capacity Factor

Go 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*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Bearing Capacity Factor, Depth and Width of Footing

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

Unit Weight of Soil given Depth and Width of Footing

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)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Depth of Footing given Bearing Capacity Factor 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 Factor?

Depth of Footing given Bearing Capacity Factor calculator uses Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge) to calculate the Depth of Footing in Soil, The Depth of Footing given Bearing Capacity Factor is defined as the measure of soil strength to support a structure, determined by the Bearing Capacity Factor. Depth of Footing in Soil is denoted by D_footing symbol.

How to calculate Depth of Footing given Bearing Capacity Factor using this online calculator? To use this online calculator for Depth of Footing given Bearing Capacity Factor, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Depth of Footing given Bearing Capacity Factor calculation can be explained with given input values -> 2.4325 = (127800-((1270*9)+(0.5*18000*2*1.6)))/(18000*2.01).

FAQ

What is Depth of Footing given Bearing Capacity Factor?

The Depth of Footing given Bearing Capacity Factor is defined as the measure of soil strength to support a structure, determined by the Bearing Capacity Factor and is represented as D_footing = (q_fc-((C*N_c)+(0.5*γ*B*N_γ)))/(γ*N_q) or Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge). Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, 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, 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, Width of Footing is the shorter dimension of the footing, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight 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 Factor?

The Depth of Footing given Bearing Capacity Factor is defined as the measure of soil strength to support a structure, determined by the Bearing Capacity Factor is calculated using Depth of Footing in Soil = (Ultimate Bearing Capacity in Soil-((Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/(Unit Weight of Soil*Bearing Capacity Factor dependent on Surcharge). To calculate Depth of Footing given Bearing Capacity Factor, you need Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & 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.

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