Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing)
Nγ = (((qsa*fs)-(fs*σs))-((C*Nc)+(σs*(Nq-1))))/(0.5*γ*B)
This formula uses 9 Variables
Variables Used
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.
Safe Bearing Capacity - (Measured in Pascal) - Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Safe Bearing Capacity: 70 Kilonewton per Square Meter --> 70000 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 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
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nγ = (((qsa*fs)-(fss))-((C*Nc)+(σs*(Nq-1))))/(0.5*γ*B) --> (((70000*2.8)-(2.8*45900))-((1270*9)+(45900*(2.01-1))))/(0.5*18000*2)
Evaluating ... ...
Nγ = 0.53838888888889
STEP 3: Convert Result to Output's Unit
0.53838888888889 --> No Conversion Required
FINAL ANSWER
0.53838888888889 0.538389 <-- Bearing Capacity Factor dependent on Unit Weight
(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri
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8 Bearing Capacity Factors Calculators

Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity
Go Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing)
Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity
Go Bearing Capacity Factor dependent on Surcharge = ((((Safe Bearing Capacity*Factor of Safety)-(Factor of Safety*Effective Surcharge in KiloPascal))-((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)))/Effective Surcharge in KiloPascal)+1
Bearing Capacity Factor Dependent on Surcharge given Ultimate Bearing Capacity
Go Bearing Capacity Factor dependent on Surcharge = (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*Depth of Footing in Soil)
Bearing Capacity Factor Dependent on Weight given Ultimate Bearing Capacity
Go Bearing Capacity Factor dependent on Unit Weight = (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*Width of Footing)
Bearing Capacity Factor Dependent on Cohesion given Ultimate Bearing Capacity
Go Bearing Capacity Factor dependent on Cohesion = (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)))/Cohesion in Soil as Kilopascal
Bearing Capacity Factor Dependent on Weight given Effective Surcharge
Go Bearing Capacity Factor dependent on Unit Weight = (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 Surcharge given Effective Surcharge
Go Bearing Capacity Factor dependent on Surcharge = ((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)))/Effective Surcharge in KiloPascal)+1
Bearing Capacity Factor Dependent on Cohesion given Effective Surcharge
Go Bearing Capacity Factor dependent on Cohesion = (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)))/Cohesion of Soil

Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity Formula

Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing)
Nγ = (((qsa*fs)-(fs*σs))-((C*Nc)+(σs*(Nq-1))))/(0.5*γ*B)

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 Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity?

Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity calculator uses Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing) to calculate the Bearing Capacity Factor dependent on Unit Weight, The Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity is defined as the ratio of actual bearing capacity to safe bearing capacity, influenced by weight, ensuring stability in soil structures. Bearing Capacity Factor dependent on Unit Weight is denoted by Nγ symbol.

How to calculate Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity using this online calculator? To use this online calculator for Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity, enter Safe Bearing Capacity (qsa), Factor of Safety (fs), Effective Surcharge in KiloPascal s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ) & Width of Footing (B) and hit the calculate button. Here is how the Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity calculation can be explained with given input values -> 0.563889 = (((70000*2.8)-(2.8*45900))-((1270*9)+(45900*(2.01-1))))/(0.5*18000*2).

FAQ

What is Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity?
The Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity is defined as the ratio of actual bearing capacity to safe bearing capacity, influenced by weight, ensuring stability in soil structures and is represented as Nγ = (((qsa*fs)-(fss))-((C*Nc)+(σs*(Nq-1))))/(0.5*γ*B) or Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing). Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, 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, 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, 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.
How to calculate Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity?
The Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity is defined as the ratio of actual bearing capacity to safe bearing capacity, influenced by weight, ensuring stability in soil structures is calculated using Bearing Capacity Factor dependent on Unit Weight = (((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*Width of Footing). To calculate Bearing Capacity Factor Dependent on Weight given Safe Bearing Capacity, you need Safe Bearing Capacity (qsa), Factor of Safety (fs), Effective Surcharge in KiloPascal s), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ) & Width of Footing (B). With our tool, you need to enter the respective value for Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil & Width of Footing 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 Bearing Capacity Factor dependent on Unit Weight?
In this formula, Bearing Capacity Factor dependent on Unit Weight uses Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil & Width of Footing. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Bearing Capacity Factor dependent on Unit Weight = (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*Width of Footing)
  • Bearing Capacity Factor dependent on Unit Weight = (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)
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