Loading Intensity using Bearing Capacity Factors Calculator

✖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%
✖Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.ⓘ Effective Surcharge in KiloPascal [σ_s]			+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%
✖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%

✖Load Intensity is defined as load applied per unit area.ⓘ Loading Intensity using Bearing Capacity Factors [q]

⎘ Copy

👎

Formula

✖

Loading Intensity using Bearing Capacity Factors

Formula

`"q" = ("C"*"N"_{"c"})+("σ"_{"s"}*"N"_{"q"})+(0.5*"γ"*"B"*"N"_{"γ"})`

Example

`"132.489kPa"=("1.27kPa"*"9")+("45.9kN/m²"*"2.01")+(0.5*"18kN/m³"*"2m"*"1.6")`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF

Loading Intensity using Bearing Capacity Factors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
q = (C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ)
This formula uses 8 Variables

Variables Used

Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
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.
Effective Surcharge in KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.

STEP 1: Convert Input(s) to Base Unit

Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ) --> (1270*9)+(45900*2.01)+(0.5*18000*2*1.6)

Evaluating ... ...

q = 132489

STEP 3: Convert Result to Output's Unit

132489 Pascal -->132.489 Kilopascal (Check conversion here)

FINAL ANSWER

132.489 Kilopascal <-- Load Intensity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil: Terzaghi's Analysis » Loading Intensity using Bearing Capacity Factors

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 8 Bearing Capacity of Soil: Terzaghi's Analysis Calculators

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis

Go Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180)

Width of Footing given Load Intensity

Go Width of Footing = (-Load Intensity+sqrt((Load Intensity)^2+Total Downward Force in Soil*Unit Weight of Soil*tan(Angle of Shearing Resistance)))/((Unit Weight of Soil*tan(Angle of Shearing Resistance))/2)

Loading Intensity using Bearing Capacity Factors

Go Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Downward Force on Wedge of Soil given Load Intensity

Go Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)

Width of Footing given Weight of Wedge

Go Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))

Unit Weight of Soil given Weight of Wedge and Width of Footing

Go Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2)

Angle of Shearing Resistance given Weight of Wedge

Go Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2))

Weight of Wedge given Width of Footing

Go Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4

Loading Intensity using Bearing Capacity Factors Formula

What is Bearing Capacity?

In geotechnical engineering, bearing capacity is the capacity of soil to support the loads applied to the ground. The bearing capacity of soil is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.

How to Calculate Loading Intensity using Bearing Capacity Factors?

Loading Intensity using Bearing Capacity Factors calculator uses Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight) to calculate the Load Intensity, The Loading Intensity using Bearing Capacity Factors is defined as the value of loading intensity when we have prior information of other parameters used. Load Intensity is denoted by q symbol.

How to calculate Loading Intensity using Bearing Capacity Factors using this online calculator? To use this online calculator for Loading Intensity using Bearing Capacity Factors, enter Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button. Here is how the Loading Intensity using Bearing Capacity Factors calculation can be explained with given input values -> 0.13203 = (1270*9)+(45900*2.01)+(0.5*18000*2*1.6).

FAQ

What is Loading Intensity using Bearing Capacity Factors?

The Loading Intensity using Bearing Capacity Factors is defined as the value of loading intensity when we have prior information of other parameters used and is represented as q = (C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ) or Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). 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, Effective Surcharge in KiloPascal also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, 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.

How to calculate Loading Intensity using Bearing Capacity Factors?

The Loading Intensity using Bearing Capacity Factors is defined as the value of loading intensity when we have prior information of other parameters used is calculated using Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). To calculate Loading Intensity using Bearing Capacity Factors, you need Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (N_γ). With our tool, you need to enter the respective value for Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing & Bearing Capacity Factor dependent on Unit Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search