Effective Surcharge given Bearing Capacity for Local Shear Failure Calculator

✖The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity [q_f]			+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 Bearing Capacity for Local Shear Failure [σ_s]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Terzaghi's Analysis Shear Failure Theories Formula PDF PDF Image

Effective Surcharge given Bearing Capacity for Local Shear Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*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
σ_s = (q_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/N_q
This formula uses 8 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.
Ultimate Bearing Capacity - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
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

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
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_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/N_q --> (60000-(((2/3)*5000*9)+(0.5*18000*2*1.6)))/2.01

Evaluating ... ...

σ_s = 597.014925373134

STEP 3: Convert Result to Output's Unit

597.014925373134 Pascal -->0.597014925373134 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

0.597014925373134 ≈ 0.597015 Kilonewton per Square Meter <-- Effective Surcharge in KiloPascal

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis Shear Failure Theories » General and Local Shear Failure » Effective Surcharge given Bearing Capacity for Local Shear Failure

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< General and Local Shear Failure Calculators

Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure

LaTeX Go Angle of Mobilized Friction = atan((2/3)*tan((Angle of Shearing Resistance)))

Angle of Shearing Resistance Corresponding to Local Shear Failure

LaTeX Go Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))

Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

LaTeX Go Cohesion of Soil = (3/2)*Mobilised Cohesion

Mobilised Cohesion Corresponding to Local Shear Failure

LaTeX Go Mobilised Cohesion = (2/3)*Cohesion of Soil

Effective Surcharge given Bearing Capacity for Local Shear Failure Formula

LaTeX Go

What is Surcharge?

Surcharge is the additional load on the soil which may be created due to any overlying structure or any moving object.Total stress on the surface of the soil is because of the surcharge only. So total stress is equal to the surcharge q. σ = q. No water present above this plane, hence pore water pressure is zero.

How to Calculate Effective Surcharge given Bearing Capacity for Local Shear Failure?

Effective Surcharge given Bearing Capacity for Local Shear Failure calculator uses Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*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 to calculate the Effective Surcharge in KiloPascal, The Effective Surcharge given Bearing Capacity for Local Shear Failure is defined as surcharge is effective when it enhances soil bearing capacity, preventing local shear failure by distributing loads and increasing stability. Effective Surcharge in KiloPascal is denoted by σ_s symbol.

How to calculate Effective Surcharge given Bearing Capacity for Local Shear Failure using this online calculator? To use this online calculator for Effective Surcharge given Bearing Capacity for Local Shear Failure, enter Ultimate Bearing Capacity (q_f), 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 Bearing Capacity for Local Shear Failure calculation can be explained with given input values -> 0.0006 = (60000-(((2/3)*5000*9)+(0.5*18000*2*1.6)))/2.01.

FAQ

What is Effective Surcharge given Bearing Capacity for Local Shear Failure?

The Effective Surcharge given Bearing Capacity for Local Shear Failure is defined as surcharge is effective when it enhances soil bearing capacity, preventing local shear failure by distributing loads and increasing stability and is represented as σ_s = (q_f-(((2/3)*C_s*N_c)+(0.5*γ*B*N_γ)))/N_q or Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*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. The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, 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 Bearing Capacity for Local Shear Failure?

The Effective Surcharge given Bearing Capacity for Local Shear Failure is defined as surcharge is effective when it enhances soil bearing capacity, preventing local shear failure by distributing loads and increasing stability is calculated using Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-(((2/3)*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. To calculate Effective Surcharge given Bearing Capacity for Local Shear Failure, you need Ultimate Bearing Capacity (q_f), 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 Ultimate Bearing Capacity, 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.

Home

FREE PDFs

🔍 Search