Cohesion of Soil for Local Shear Failure given Depth of Footing Calculator

✖Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity in Soil [q_fc]			+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%
✖Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.ⓘ Depth of Footing in Soil [D_footing]			+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%
✖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 Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%

✖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.ⓘ Cohesion of Soil for Local Shear Failure given Depth of Footing [C]

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Cohesion of Soil for Local Shear Failure given Depth of Footing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)
C = (q_fc-(((γ*D_footing)*N_q)+(0.5*γ*B*N_γ)))/((2/3)*N_c)
This formula uses 8 Variables

Variables Used

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.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
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.
Depth of Footing in Soil - (Measured in Meter) - Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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 Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Depth of Footing in Soil: 2.54 Meter --> 2.54 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> 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
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (q_fc-(((γ*D_footing)*N_q)+(0.5*γ*B*N_γ)))/((2/3)*N_c) --> (127800-(((18000*2.54)*2.01)+(0.5*18000*2*1.6)))/((2/3)*9)

Evaluating ... ...

C = 1183.8

STEP 3: Convert Result to Output's Unit

1183.8 Pascal -->1.1838 Kilopascal (Check conversion here)

FINAL ANSWER

1.1838 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.004 seconds)

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< 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

Cohesion of Soil for Local Shear Failure given Depth of Footing Formula

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What is Cohesion?

Cohesion is the stress (act) of sticking together. Yet, in engineering mechanics, particularly in soil mechanics, cohesion refers to shear strength under zero normal stress, or the intercept of a material's failure envelope with shear stress axis in the shear stress-normal stress space.

How to Calculate Cohesion of Soil for Local Shear Failure given Depth of Footing?

Cohesion of Soil for Local Shear Failure given Depth of Footing calculator uses 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)))/((2/3)*Bearing Capacity Factor dependent on Cohesion) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil for Local Shear Failure given Depth of Footing is defined as a soil's internal resistance to shear; local shear failure occurs when footing depth exceeds critical depth for stability. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil for Local Shear Failure given Depth of Footing using this online calculator? To use this online calculator for Cohesion of Soil for Local Shear Failure given Depth of Footing, enter Ultimate Bearing Capacity in Soil (q_fc), Unit Weight of Soil (γ), Depth of Footing in Soil (D_footing), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button. Here is how the Cohesion of Soil for Local Shear Failure given Depth of Footing calculation can be explained with given input values -> 0.00126 = (127800-(((18000*2.54)*2.01)+(0.5*18000*2*1.6)))/((2/3)*9).

FAQ

What is Cohesion of Soil for Local Shear Failure given Depth of Footing?

The Cohesion of Soil for Local Shear Failure given Depth of Footing is defined as a soil's internal resistance to shear; local shear failure occurs when footing depth exceeds critical depth for stability and is represented as C = (q_fc-(((γ*D_footing)*N_q)+(0.5*γ*B*N_γ)))/((2/3)*N_c) or 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)))/((2/3)*Bearing Capacity Factor dependent on Cohesion). Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Depth of Footing in Soil is the longer dimension of the footing in soil mechanics, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, 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 Cohesion is a constant whose value depends upon the cohesion of soil.

How to calculate Cohesion of Soil for Local Shear Failure given Depth of Footing?

The Cohesion of Soil for Local Shear Failure given Depth of Footing is defined as a soil's internal resistance to shear; local shear failure occurs when footing depth exceeds critical depth for stability is calculated using 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)))/((2/3)*Bearing Capacity Factor dependent on Cohesion). To calculate Cohesion of Soil for Local Shear Failure given Depth of Footing, you need Ultimate Bearing Capacity in Soil (q_fc), Unit Weight of Soil (γ), Depth of Footing in Soil (D_footing), Bearing Capacity Factor dependent on Surcharge (N_q), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Unit Weight of Soil, Depth of Footing in Soil, Bearing Capacity Factor dependent on Surcharge, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Cohesion 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 Cohesion in Soil as Kilopascal?

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

Cohesion in Soil as Kilopascal = (Ultimate Bearing Capacity in Soil-((Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)))/((2/3)*Bearing Capacity Factor dependent on Cohesion)

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