Loading Intensity using Bearing Capacity Factors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
qb = (C*Nc)+(σs*Nq)+(0.5*γ*B*Nγ)
This formula uses 8 Variables
Variables Used
Loading Intensity with Bearing Capacity Factors - (Measured in Pascal) - Loading Intensity with Bearing Capacity Factors is the load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil.
Cohesion - (Measured in Pascal) - Cohesion 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 (KN/m2) - (Measured in Pascal) - Effective Surcharge (KN/m2) 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: 4.23 Kilopascal --> 4230 Pascal (Check conversion ​here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Effective Surcharge (KN/m2): 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
qb = (C*Nc)+(σs*Nq)+(0.5*γ*B*Nγ) --> (4230*1.93)+(45900*2.01)+(0.5*18000*2*1.6)
Evaluating ... ...
qb = 129222.9
STEP 3: Convert Result to Output's Unit
129222.9 Pascal -->129.2229 Kilopascal (Check conversion ​here)
FINAL ANSWER
129.2229 Kilopascal <-- Loading Intensity with Bearing Capacity Factors
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Bearing Capacity of Soil by Terzaghi's Analysis Calculators

Width of Footing given Load Intensity
​ LaTeX ​ 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)
Downward Force on Wedge
​ LaTeX ​ 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)
Unit Weight of Soil given Weight of Wedge and Width of Footing
​ LaTeX ​ Go Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2)
Weight of Wedge given Width of Footing
​ LaTeX ​ 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

​LaTeX ​Go
Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
qb = (C*Nc)+(σs*Nq)+(0.5*γ*B*Nγ)

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 Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*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 Loading Intensity with Bearing Capacity Factors, The Loading Intensity using Bearing Capacity Factors formula is defined as the value of load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil, when we have prior information of soils bearing capacity factors. Loading Intensity with Bearing Capacity Factors is denoted by qb 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 (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (KN/m2) s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ) and hit the calculate button. Here is how the Loading Intensity using Bearing Capacity Factors calculation can be explained with given input values -> 0.159129 = (4230*1.93)+(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 formula is defined as the value of load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil, when we have prior information of soils bearing capacity factors and is represented as qb = (C*Nc)+(σs*Nq)+(0.5*γ*B*Nγ) or Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). Cohesion 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 (KN/m2) 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 formula is defined as the value of load per unit area applied to the foundation of a structure, considering the bearing capacity of the soil, when we have prior information of soils bearing capacity factors is calculated using Loading Intensity with Bearing Capacity Factors = (Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*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 (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (KN/m2) s), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ). With our tool, you need to enter the respective value for Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge (KN/m2), 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.
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