Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity Calculator

✖Safe Bearing Capacity is the maximum pressure which the soil can carry safely without risk of shear failure.ⓘ Safe Bearing Capacity [q_sa]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+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%
✖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%
✖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 given Safe Bearing Capacity [N_q]

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Formula

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Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity

Formula

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

Example

`"0.862309"=(((("70kN/m²"*"2.8")-("2.8"*"45.9kN/m²"))-(("5.0kPa"*"9")+(0.5*"18kN/m³"*"2m"*"1.6")))/"45.9kN/m²")+1`

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Download Terzaghi's Analysis: Shear Failure Theories Formula PDF

Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
N_q = ((((q_sa*f_s)-(f_s*σ_s))-((C_s*N_c)+(0.5*γ*B*N_γ)))/σ_s)+1
This formula uses 9 Variables

Variables Used

Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Safe Bearing Capacity - (Measured in Kilonewton per Square Meter) - 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 Kilonewton per Square Meter) - 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 of Soil - (Measured in Kilonewton per Square Meter) - 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.
Unit Weight of Soil - (Measured in Kilonewton 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

Safe Bearing Capacity: 70 Kilonewton per Square Meter --> 70 Kilonewton per Square Meter No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45.9 Kilonewton per Square Meter No Conversion Required
Cohesion of Soil: 5 Kilopascal --> 5 Kilonewton per Square Meter (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
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

N_q = ((((q_sa*f_s)-(f_s*σ_s))-((C_s*N_c)+(0.5*γ*B*N_γ)))/σ_s)+1 --> ((((70*2.8)-(2.8*45.9))-((5*9)+(0.5*18*2*1.6)))/45.9)+1

Evaluating ... ...

N_q = 0.862309368191722

STEP 3: Convert Result to Output's Unit

0.862309368191722 --> No Conversion Required

FINAL ANSWER

0.862309368191722 ≈ 0.862309 <-- Bearing Capacity Factor dependent on Surcharge

(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 Surcharge given Safe Bearing Capacity Formula

What is Surcharge?

A surcharge load, typically consisting of fill material, placed on the design platform. This surcharge load, together with the platform fill, exerts pressures on the underlying soft soil and creates development of excess pore water pressures that are slow to dissipate due to the low permeability of these soft soils.

How to Calculate Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity?

Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity calculator uses 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 to calculate the Bearing Capacity Factor dependent on Surcharge, The Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity is defined as the bearing capacity factor, influenced by surcharge, determines the load a soil can safely support beyond its safe bearing capacity. Bearing Capacity Factor dependent on Surcharge is denoted by N_q symbol.

How to calculate Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity using this online calculator? To use this online calculator for Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion of Soil (C_s), 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) and hit the calculate button. Here is how the Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity calculation can be explained with given input values -> 0.862309 = ((((70000*2.8)-(2.8*45900))-((5000*9)+(0.5*18000*2*1.6)))/45900)+1.

FAQ

What is Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity?

The Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity is defined as the bearing capacity factor, influenced by surcharge, determines the load a soil can safely support beyond its safe bearing capacity and is represented as N_q = ((((q_sa*f_s)-(f_s*σ_s))-((C_s*N_c)+(0.5*γ*B*N_γ)))/σ_s)+1 or 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. 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 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, 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 Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity?

The Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity is defined as the bearing capacity factor, influenced by surcharge, determines the load a soil can safely support beyond its safe bearing capacity is calculated using 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. To calculate Bearing Capacity Factor Dependent on Surcharge given Safe Bearing Capacity, you need Safe Bearing Capacity (q_sa), Factor of Safety (f_s), Effective Surcharge in KiloPascal (σ_s), Cohesion of Soil (C_s), 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). With our tool, you need to enter the respective value for Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, 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.

How many ways are there to calculate Bearing Capacity Factor dependent on Surcharge?

In this formula, Bearing Capacity Factor dependent on Surcharge uses Safe Bearing Capacity, Factor of Safety, Effective Surcharge in KiloPascal, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing & Bearing Capacity Factor dependent on Unit Weight. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 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

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