Cohesion of Soil given Loading Intensity by Terzaghi's Analysis Calculator

✖Load Intensity is defined as load applied per unit area.ⓘ Load Intensity [q]			+10% -10%
✖Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.ⓘ Passive Earth Pressure in kilopascal [P_p]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+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%
✖Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.ⓘ Angle of Shearing Resistance [φ]			+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 given Loading Intensity by Terzaghi's Analysis [C]

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Formula

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Cohesion of Soil given Loading Intensity by Terzaghi's Analysis

Formula

`"C" = ("q"-(((2*"P"_{"p"})/"B")-(("γ"*"B"*tan(("φ"*pi)/180))/4)))/tan(("φ"*pi)/180)`

Example

`"3.893732kPa"=("26.85kPa"-(((2*"26.92kPa")/"2m")-(("18kN/m³"*"2m"*tan(("45°"*pi)/180))/4)))/tan(("45°"*pi)/180)`

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Cohesion of Soil given Loading Intensity by Terzaghi's Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180)
C = (q-(((2*P_p)/B)-((γ*B*tan((φ*pi)/180))/4)))/tan((φ*pi)/180)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

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.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Passive Earth Pressure in kilopascal - (Measured in Pascal) - Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

STEP 1: Convert Input(s) to Base Unit

Load Intensity: 26.85 Kilopascal --> 26850 Pascal (Check conversion here)
Passive Earth Pressure in kilopascal: 26.92 Kilopascal --> 26920 Pascal (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (q-(((2*P_p)/B)-((γ*B*tan((φ*pi)/180))/4)))/tan((φ*pi)/180) --> (26850-(((2*26920)/2)-((18000*2*tan((0.785398163397301*pi)/180))/4)))/tan((0.785398163397301*pi)/180)

Evaluating ... ...

C = 3893.73219672272

STEP 3: Convert Result to Output's Unit

3893.73219672272 Pascal -->3.89373219672272 Kilopascal (Check conversion here)

FINAL ANSWER

3.89373219672272 ≈ 3.893732 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.004 seconds)

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< 8 Bearing Capacity of Soil: Terzaghi's Analysis Calculators

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis

Go Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180)

Width of Footing given Load Intensity

Go Width of Footing = (-Load Intensity+sqrt((Load Intensity)^2+Total Downward Force in Soil*Unit Weight of Soil*tan(Angle of Shearing Resistance)))/((Unit Weight of Soil*tan(Angle of Shearing Resistance))/2)

Loading Intensity using Bearing Capacity Factors

Go Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)

Downward Force on Wedge of Soil given Load Intensity

Go Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)

Width of Footing given Weight of Wedge

Go Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))

Unit Weight of Soil given Weight of Wedge and Width of Footing

Go Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2)

Angle of Shearing Resistance given Weight of Wedge

Go Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2))

Weight of Wedge given Width of Footing

Go Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis Formula

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 given Loading Intensity by Terzaghi's Analysis?

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis calculator uses Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil given Loading Intensity by Terzaghi's Analysis is defined as the value of cohesion of soil when we have prior information of other parameters used. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil given Loading Intensity by Terzaghi's Analysis using this online calculator? To use this online calculator for Cohesion of Soil given Loading Intensity by Terzaghi's Analysis, enter Load Intensity (q), Passive Earth Pressure in kilopascal (P_p), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Cohesion of Soil given Loading Intensity by Terzaghi's Analysis calculation can be explained with given input values -> 0.003894 = (26850-(((2*26920)/2)-((18000*2*tan((0.785398163397301*pi)/180))/4)))/tan((0.785398163397301*pi)/180).

FAQ

What is Cohesion of Soil given Loading Intensity by Terzaghi's Analysis?

The Cohesion of Soil given Loading Intensity by Terzaghi's Analysis is defined as the value of cohesion of soil when we have prior information of other parameters used and is represented as C = (q-(((2*P_p)/B)-((γ*B*tan((φ*pi)/180))/4)))/tan((φ*pi)/180) or Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180). Load Intensity is defined as load applied per unit area, Passive Earth Pressure in kilopascal is the earth pressure exerted when the wall moves towards the backfill in kilopascal, Width of Footing is the shorter dimension of the footing, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

How to calculate Cohesion of Soil given Loading Intensity by Terzaghi's Analysis?

The Cohesion of Soil given Loading Intensity by Terzaghi's Analysis is defined as the value of cohesion of soil when we have prior information of other parameters used is calculated using Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180). To calculate Cohesion of Soil given Loading Intensity by Terzaghi's Analysis, you need Load Intensity (q), Passive Earth Pressure in kilopascal (P_p), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Load Intensity, Passive Earth Pressure in kilopascal, Width of Footing, Unit Weight of Soil & Angle of Shearing Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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