Effective 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%
✖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 [N_q]			+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 given Safe Bearing Capacity [σ_s]

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Effective Surcharge given Safe Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((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)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1)
σ_s = ((q_sa*f_s)-((C_s*N_c)+(0.5*γ*B*N_γ)))/(f_s+N_q-1)
This formula uses 9 Variables

Variables Used

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.
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.
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.
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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

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
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> 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
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_s = ((q_sa*f_s)-((C_s*N_c)+(0.5*γ*B*N_γ)))/(f_s+N_q-1) --> ((70000*2.8)-((5000*9)+(0.5*18000*2*1.6)))/(2.8+2.01-1)

Evaluating ... ...

σ_s = 32073.4908136483

STEP 3: Convert Result to Output's Unit

32073.4908136483 Pascal -->32.0734908136483 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

32.0734908136483 ≈ 32.07349 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal

(Calculation completed in 00.020 seconds)

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< Terzaghi's Analysis in Water Table is Below the Base of Footing Calculators

Depth of Footing given Bearing Capacity Factor

LaTeX Go Depth of Footing in Soil = (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*Bearing Capacity Factor dependent on Surcharge)

Cohesion of Soil given Depth and Width of Footing

LaTeX Go Cohesion in Soil as Kilopascal = (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)))/Bearing Capacity Factor dependent on Cohesion

Ultimate Bearing Capacity given Bearing Capacity Factor

LaTeX Go Ultimate Bearing Capacity = (Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Unit Weight of Soil*Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Unit Weight of Soil given Depth and Width of Footing

LaTeX Go Unit Weight of Soil = (Ultimate Bearing Capacity-(Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion))/((Depth of Footing*Bearing Capacity Factor dependent on Surcharge)+(0.5*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))

Effective Surcharge given Safe Bearing Capacity Formula

LaTeX Go

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 Effective Surcharge given Safe Bearing Capacity?

Effective Surcharge given Safe Bearing Capacity calculator uses Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((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)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1) to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge given Safe Bearing Capacity is defined as surcharge is effective when it stays below the soil's safe bearing capacity, ensuring stable foundation support and preventing failure. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to calculate Effective Surcharge given Safe Bearing Capacity using this online calculator? To use this online calculator for Effective Surcharge given Safe Bearing Capacity, enter Safe Bearing Capacity (q_sa), Factor of Safety (f_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) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Effective Surcharge given Safe Bearing Capacity calculation can be explained with given input values -> 0.032158 = ((70000*2.8)-((5000*9)+(0.5*18000*2*1.6)))/(2.8+2.01-1).

FAQ

What is Effective Surcharge given Safe Bearing Capacity?

The Effective Surcharge given Safe Bearing Capacity is defined as surcharge is effective when it stays below the soil's safe bearing capacity, ensuring stable foundation support and preventing failure and is represented as σ_s = ((q_sa*f_s)-((C_s*N_c)+(0.5*γ*B*N_γ)))/(f_s+N_q-1) or Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((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)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-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, 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 & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

How to calculate Effective Surcharge given Safe Bearing Capacity?

The Effective Surcharge given Safe Bearing Capacity is defined as surcharge is effective when it stays below the soil's safe bearing capacity, ensuring stable foundation support and preventing failure is calculated using Effective Surcharge in KiloPascal = ((Safe Bearing Capacity*Factor of Safety)-((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)))/(Factor of Safety+Bearing Capacity Factor dependent on Surcharge-1). To calculate Effective Surcharge given Safe Bearing Capacity, you need Safe Bearing Capacity (q_sa), Factor of Safety (f_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) & Bearing Capacity Factor dependent on Surcharge (N_q). With our tool, you need to enter the respective value for Safe Bearing Capacity, Factor of Safety, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge 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 Effective Surcharge in KiloPascal?

In this formula, Effective Surcharge in KiloPascal uses Safe Bearing Capacity, Factor of Safety, Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Surcharge in KiloPascal = (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)))/(Bearing Capacity Factor dependent on Surcharge-1)

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