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 is the earth pressure exerted when the wall moves towards the backfill in kilopascal.ⓘ Passive Earth Pressure [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 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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Cohesion of Soil given Loading Intensity by Terzaghi's Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion = (Load Intensity-(((2*Passive Earth Pressure)/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 - (Measured in Pascal) - Cohesion 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 - (Measured in Pascal) - Passive Earth Pressure 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: 26.8 Kilopascal --> 26800 Pascal (Check conversion here)
Passive Earth Pressure: 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: 82.57 Degree --> 1.44111836337145 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) --> (26800-(((2*26920)/2)-((18000*2*tan((1.44111836337145*pi)/180))/4)))/tan((1.44111836337145*pi)/180)

Evaluating ... ...

C = 4230.06315111881

STEP 3: Convert Result to Output's Unit

4230.06315111881 Pascal -->4.23006315111881 Kilopascal (Check conversion here)

FINAL ANSWER

4.23006315111881 ≈ 4.230063 Kilopascal <-- Cohesion

(Calculation completed in 00.004 seconds)

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< Bearing Capacity of Soil by Terzaghi's Analysis Calculators

Width of Footing given Load Intensity

LaTeX 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)

Downward Force on Wedge

LaTeX 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)

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

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

Weight of Wedge given Width of Footing

LaTeX 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

LaTeX Go

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 = (Load Intensity-(((2*Passive Earth Pressure)/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, The Cohesion of Soil given Loading Intensity by Terzaghi's Analysis formula is defined as the value of cohesion of soil when we have prior information of load intensity by Terzaghi's analysis. Cohesion 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 (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 -> -1.308566 = (26800-(((2*26920)/2)-((18000*2*tan((1.44111836337145*pi)/180))/4)))/tan((1.44111836337145*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 formula is defined as the value of cohesion of soil when we have prior information of load intensity by Terzaghi's analysis and is represented as C = (q-(((2*P_p)/B)-((γ*B*tan((φ*pi)/180))/4)))/tan((φ*pi)/180) or Cohesion = (Load Intensity-(((2*Passive Earth Pressure)/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 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 formula is defined as the value of cohesion of soil when we have prior information of load intensity by Terzaghi's analysis is calculated using Cohesion = (Load Intensity-(((2*Passive Earth Pressure)/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 (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, 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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