Bearing Capacity Factor Dependent on Weight given Effective Surcharge Calculator

✖Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.ⓘ Net Ultimate Bearing Capacity [q_nf]			+10% -10%
✖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%
✖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 Weight given Effective Surcharge [N_γ]

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Formula

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Bearing Capacity Factor Dependent on Weight given Effective Surcharge

Formula

`"N"_{"γ"} = ("q"_{"nf"}-(("C"_{"s"}*"N"_{"c"})+("σ"_{"s"}*("N"_{"q"}-1))))/(0.5*"γ"*"B")`

Example

`"3.257833"=("150kN/m²"-(("5.0kPa"*"9")+("45.9kN/m²"*("2.01"-1))))/(0.5*"18kN/m³"*"2m")`

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Download Terzaghi's Analysis: Shear Failure Theories Formula PDF

Bearing Capacity Factor Dependent on Weight given Effective Surcharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
N_γ = (q_nf-((C_s*N_c)+(σ_s*(N_q-1))))/(0.5*γ*B)
This formula uses 8 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.
Net Ultimate Bearing Capacity - (Measured in Pascal) - Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Net Ultimate Bearing Capacity: 150 Kilonewton per Square Meter --> 150000 Pascal (Check conversion here)
Cohesion of Soil: 5 Kilopascal --> 5000 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_γ = (q_nf-((C_s*N_c)+(σ_s*(N_q-1))))/(0.5*γ*B) --> (150000-((5000*9)+(45900*(2.01-1))))/(0.5*18000*2)

Evaluating ... ...

N_γ = 3.25783333333333

STEP 3: Convert Result to Output's Unit

3.25783333333333 --> No Conversion Required

FINAL ANSWER

3.25783333333333 ≈ 3.257833 <-- Bearing Capacity Factor dependent on Unit Weight

(Calculation completed in 00.004 seconds)

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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 Effective Surcharge Formula

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

How to Calculate Bearing Capacity Factor Dependent on Weight given Effective Surcharge?

Bearing Capacity Factor Dependent on Weight given Effective Surcharge calculator uses 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) to calculate the Bearing Capacity Factor dependent on Unit Weight, The Bearing Capacity Factor Dependent on Weight given Effective Surcharge is defined as the measure of soil's ability to support loads, influenced by effective surcharge and weight. Bearing Capacity Factor dependent on Unit Weight is denoted by N_γ symbol.

How to calculate Bearing Capacity Factor Dependent on Weight given Effective Surcharge using this online calculator? To use this online calculator for Bearing Capacity Factor Dependent on Weight given Effective Surcharge, enter Net Ultimate Bearing Capacity (q_nf), Cohesion of Soil (C_s), 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) and hit the calculate button. Here is how the Bearing Capacity Factor Dependent on Weight given Effective Surcharge calculation can be explained with given input values -> 3.283333 = (150000-((5000*9)+(45900*(2.01-1))))/(0.5*18000*2).

FAQ

What is Bearing Capacity Factor Dependent on Weight given Effective Surcharge?

The Bearing Capacity Factor Dependent on Weight given Effective Surcharge is defined as the measure of soil's ability to support loads, influenced by effective surcharge and weight and is represented as N_γ = (q_nf-((C_s*N_c)+(σ_s*(N_q-1))))/(0.5*γ*B) or 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). Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure, 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, 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.

How to calculate Bearing Capacity Factor Dependent on Weight given Effective Surcharge?

The Bearing Capacity Factor Dependent on Weight given Effective Surcharge is defined as the measure of soil's ability to support loads, influenced by effective surcharge and weight is calculated using 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). To calculate Bearing Capacity Factor Dependent on Weight given Effective Surcharge, you need Net Ultimate Bearing Capacity (q_nf), Cohesion of Soil (C_s), 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). With our tool, you need to enter the respective value for Net Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, 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 Net Ultimate Bearing Capacity, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, 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 = (((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)

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