Mobilized Cohesion given Angle of Mobilized Friction Calculator

✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [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%
✖Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface.ⓘ Slope Angle in Soil Mechanics [θ_slope]			+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%
✖Height from Toe of Wedge to Top of Wedge of soil.ⓘ Height from Toe of Wedge to Top of Wedge [H]			+10% -10%

✖Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress.ⓘ Mobilized Cohesion given Angle of Mobilized Friction [c_m]

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Mobilized Cohesion given Angle of Mobilized Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge)
c_m = (0.5*cosec((i*pi)/180)*sec((φ_mob*pi)/180)*sin(((i-θ_slope)*pi)/180)*sin(((θ_slope-φ_mob)*pi)/180))*(γ*H)
This formula uses 1 Constants, 3 Functions, 6 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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Mobilized Cohesion in Soil Mechanics - (Measured in Pascal) - Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.
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.
Slope Angle in Soil Mechanics - (Measured in Radian) - Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface.
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.
Height from Toe of Wedge to Top of Wedge - (Measured in Meter) - Height from Toe of Wedge to Top of Wedge of soil.

STEP 1: Convert Input(s) to Base Unit

Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Angle of Mobilized Friction in Soil Mechanics: 12.33 Degree --> 0.21519909677086 Radian (Check conversion here)
Slope Angle in Soil Mechanics: 36.89 Degree --> 0.643851961060587 Radian (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Height from Toe of Wedge to Top of Wedge: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_m = (0.5*cosec((i*pi)/180)*sec((φ_mob*pi)/180)*sin(((i-θ_slope)*pi)/180)*sin(((θ_slope-φ_mob)*pi)/180))*(γ*H) --> (0.5*cosec((1.11701072127616*pi)/180)*sec((0.21519909677086*pi)/180)*sin(((1.11701072127616-0.643851961060587)*pi)/180)*sin(((0.643851961060587-0.21519909677086)*pi)/180))*(18000*10)

Evaluating ... ...

c_m = 285.231008470776

STEP 3: Convert Result to Output's Unit

285.231008470776 Pascal -->0.285231008470776 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

0.285231008470776 ≈ 0.285231 Kilonewton per Square Meter <-- Mobilized Cohesion in Soil Mechanics

(Calculation completed in 00.004 seconds)

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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 Angle of Mobilized Friction Formula

LaTeX Go

What is Cohesion?

Cohesion is a word that comes to us through physics, where cohesion describes particles that are the same and tend to stick together — water molecules, for example. Outside of physics, cohesion describes unity among parts, and is something to be sought after.

How to Calculate Mobilized Cohesion given Angle of Mobilized Friction?

Mobilized Cohesion given Angle of Mobilized Friction calculator uses Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge) to calculate the Mobilized Cohesion in Soil Mechanics, The Mobilized Cohesion given Angle of Mobilized Friction is defined as the value of mobilized cohesion when we have prior information of other parameters used. Mobilized Cohesion in Soil Mechanics is denoted by c_m symbol.

How to calculate Mobilized Cohesion given Angle of Mobilized Friction using this online calculator? To use this online calculator for Mobilized Cohesion given Angle of Mobilized Friction, enter Angle of Inclination to Horizontal in Soil (i), Angle of Mobilized Friction in Soil Mechanics (φ_mob), Slope Angle in Soil Mechanics (θ_slope), Unit Weight of Soil (γ) & Height from Toe of Wedge to Top of Wedge (H) and hit the calculate button. Here is how the Mobilized Cohesion given Angle of Mobilized Friction calculation can be explained with given input values -> 0.000285 = (0.5*cosec((1.11701072127616*pi)/180)*sec((0.21519909677086*pi)/180)*sin(((1.11701072127616-0.643851961060587)*pi)/180)*sin(((0.643851961060587-0.21519909677086)*pi)/180))*(18000*10).

FAQ

What is Mobilized Cohesion given Angle of Mobilized Friction?

The Mobilized Cohesion given Angle of Mobilized Friction is defined as the value of mobilized cohesion when we have prior information of other parameters used and is represented as c_m = (0.5*cosec((i*pi)/180)*sec((φ_mob*pi)/180)*sin(((i-θ_slope)*pi)/180)*sin(((θ_slope-φ_mob)*pi)/180))*(γ*H) or Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge). Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object, Angle of Mobilized Friction in Soil Mechanics is the slope angle at which an object starts sliding due to applied force, Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Height from Toe of Wedge to Top of Wedge of soil.

How to calculate Mobilized Cohesion given Angle of Mobilized Friction?

The Mobilized Cohesion given Angle of Mobilized Friction is defined as the value of mobilized cohesion when we have prior information of other parameters used is calculated using Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge). To calculate Mobilized Cohesion given Angle of Mobilized Friction, you need Angle of Inclination to Horizontal in Soil (i), Angle of Mobilized Friction in Soil Mechanics (φ_mob), Slope Angle in Soil Mechanics (θ_slope), Unit Weight of Soil (γ) & Height from Toe of Wedge to Top of Wedge (H). With our tool, you need to enter the respective value for Angle of Inclination to Horizontal in Soil, Angle of Mobilized Friction in Soil Mechanics, Slope Angle in Soil Mechanics, Unit Weight of Soil & Height from Toe of Wedge to Top of Wedge 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 Mobilized Cohesion in Soil Mechanics?

In this formula, Mobilized Cohesion in Soil Mechanics uses Angle of Inclination to Horizontal in Soil, Angle of Mobilized Friction in Soil Mechanics, Slope Angle in Soil Mechanics, Unit Weight of Soil & Height from Toe of Wedge to Top of Wedge. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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