Mobilized Cohesion given Safe Height from Toe to Top of Wedge Calculator

✖Height from Toe of Wedge to Top of Wedge of soil.ⓘ Height from Toe of Wedge to Top of Wedge [H]			+10% -10%
✖Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis).ⓘ Angle of Inclination in Soil Mechanics [θ_i]			+10% -10%
✖Angle of Mobilized Friction in Soil Mechanics is the slope angle at which an object starts sliding due to applied force.ⓘ Angle of Mobilized Friction in Soil Mechanics [φ_mob]			+10% -10%
✖Unit Weight of Water in Soil Mechanics is the weight per unit volume of water.ⓘ Unit Weight of Water in Soil Mechanics [γ_w]			+10% -10%

✖Mobilized Cohesion in Kilopascal is the amount of cohesion that is resisting the shear stress.ⓘ Mobilized Cohesion given Safe Height from Toe to Top of Wedge [C_mob]

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Mobilized Cohesion given Safe Height from Toe to Top of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))
C_mob = H/(4*sin((θ_i*pi)/180)*cos((φ_mob*pi)/180))/(γ_w*(1-cos(((θ_i-φ_mob)*pi)/180)))
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Mobilized Cohesion in Kilopascal - (Measured in Pascal) - Mobilized Cohesion in Kilopascal is the amount of cohesion that is resisting the shear stress.
Height from Toe of Wedge to Top of Wedge - (Measured in Meter) - Height from Toe of Wedge to Top of Wedge of soil.
Angle of Inclination in Soil Mechanics - (Measured in Radian) - Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis).
Angle of Mobilized Friction in Soil Mechanics - (Measured in Radian) - Angle of Mobilized Friction in Soil Mechanics is the slope angle at which an object starts sliding due to applied force.
Unit Weight of Water in Soil Mechanics - (Measured in Newton per Cubic Meter) - Unit Weight of Water in Soil Mechanics is the weight per unit volume of water.

STEP 1: Convert Input(s) to Base Unit

Height from Toe of Wedge to Top of Wedge: 10 Meter --> 10 Meter No Conversion Required
Angle of Inclination in Soil Mechanics: 36.85 Degree --> 0.643153829359789 Radian (Check conversion here)
Angle of Mobilized Friction in Soil Mechanics: 12.33 Degree --> 0.21519909677086 Radian (Check conversion here)
Unit Weight of Water in Soil Mechanics: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_mob = H/(4*sin((θ_i*pi)/180)*cos((φ_mob*pi)/180))/(γ_w*(1-cos(((θ_i-φ_mob)*pi)/180))) --> 10/(4*sin((0.643153829359789*pi)/180)*cos((0.21519909677086*pi)/180))/(9810*(1-cos(((0.643153829359789-0.21519909677086)*pi)/180)))

Evaluating ... ...

C_mob = 813.902852247945

STEP 3: Convert Result to Output's Unit

813.902852247945 Pascal -->0.813902852247945 Kilopascal (Check conversion here)

FINAL ANSWER

0.813902852247945 ≈ 0.813903 Kilopascal <-- Mobilized Cohesion in Kilopascal

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Slope Stability Analysis using Culman's Method Calculators

Height of Wedge of Soil given Angle of Inclination and Slope angle

LaTeX Go Height of Wedge = (Height from Toe of Wedge to Top of Wedge*sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180)

Height of Wedge of Soil given Weight of Wedge

LaTeX Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)

Mobilized Cohesion given Cohesive Force along Slip Plane

LaTeX Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

LaTeX Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Mobilized Cohesion given Safe Height from Toe to Top of Wedge 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 Mobilized Cohesion given Safe Height from Toe to Top of Wedge?

Mobilized Cohesion given Safe Height from Toe to Top of Wedge calculator uses Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))) to calculate the Mobilized Cohesion in Kilopascal, The Mobilized Cohesion given Safe Height from Toe to Top of Wedge is defined as the value of mobilized cohesion when we have prior information of other parameters used. Mobilized Cohesion in Kilopascal is denoted by C_mob symbol.

How to calculate Mobilized Cohesion given Safe Height from Toe to Top of Wedge using this online calculator? To use this online calculator for Mobilized Cohesion given Safe Height from Toe to Top of Wedge, enter Height from Toe of Wedge to Top of Wedge (H), Angle of Inclination in Soil Mechanics (θ_i), Angle of Mobilized Friction in Soil Mechanics (φ_mob) & Unit Weight of Water in Soil Mechanics (γ_w) and hit the calculate button. Here is how the Mobilized Cohesion given Safe Height from Toe to Top of Wedge calculation can be explained with given input values -> 0.000814 = 10/(4*sin((0.643153829359789*pi)/180)*cos((0.21519909677086*pi)/180))/(9810*(1-cos(((0.643153829359789-0.21519909677086)*pi)/180))).

FAQ

What is Mobilized Cohesion given Safe Height from Toe to Top of Wedge?

The Mobilized Cohesion given Safe Height from Toe to Top of Wedge is defined as the value of mobilized cohesion when we have prior information of other parameters used and is represented as C_mob = H/(4*sin((θ_i*pi)/180)*cos((φ_mob*pi)/180))/(γ_w*(1-cos(((θ_i-φ_mob)*pi)/180))) or Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))). Height from Toe of Wedge to Top of Wedge of soil, Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis), Angle of Mobilized Friction in Soil Mechanics is the slope angle at which an object starts sliding due to applied force & Unit Weight of Water in Soil Mechanics is the weight per unit volume of water.

How to calculate Mobilized Cohesion given Safe Height from Toe to Top of Wedge?

The Mobilized Cohesion given Safe Height from Toe to Top of Wedge is defined as the value of mobilized cohesion when we have prior information of other parameters used is calculated using Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))). To calculate Mobilized Cohesion given Safe Height from Toe to Top of Wedge, you need Height from Toe of Wedge to Top of Wedge (H), Angle of Inclination in Soil Mechanics (θ_i), Angle of Mobilized Friction in Soil Mechanics (φ_mob) & Unit Weight of Water in Soil Mechanics (γ_w). With our tool, you need to enter the respective value for Height from Toe of Wedge to Top of Wedge, Angle of Inclination in Soil Mechanics, Angle of Mobilized Friction in Soil Mechanics & Unit Weight of Water in Soil Mechanics 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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