Slope Angle given Shear Strength along Slip Plane Calculator

✖Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear.ⓘ Shear Strength [ζ _soil]			+10% -10%
✖Cohesion of Soil 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 [C_s]			+10% -10%
✖Length of Slip Plane is the length of plane along which failure may occur.ⓘ Length of Slip Plane [L]			+10% -10%
✖Weight of Wedge in Newton is defined as the weight of total soil which is in the form of wedge.ⓘ Weight of Wedge in Newton [W_wedge]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+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 given Shear Strength along Slip Plane [θ_slope]

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Slope Angle given Shear Strength along Slip Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180)))
θ_slope = acos((ζ _soil-(C_s*L))/(W_wedge*tan((φ*pi)/180)))
This formula uses 1 Constants, 3 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
Shear Strength - (Measured in Pascal) - Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear.
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil 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.
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.
Weight of Wedge in Newton - (Measured in Newton) - Weight of Wedge in Newton is defined as the weight of total soil which is in the form of wedge.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 0.025 Megapascal --> 25000 Pascal (Check conversion here)
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion here)
Length of Slip Plane: 5 Meter --> 5 Meter No Conversion Required
Weight of Wedge in Newton: 267 Newton --> 267 Newton No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_slope = acos((ζ _soil-(C_s*L))/(W_wedge*tan((φ*pi)/180))) --> acos((25000-(5000*5))/(267*tan((0.802851455917241*pi)/180)))

Evaluating ... ...

θ_slope = 1.5707963267949

STEP 3: Convert Result to Output's Unit

1.5707963267949 Radian -->90.0000000000169 Degree (Check conversion here)

FINAL ANSWER

90.0000000000169 ≈ 90 Degree <-- Slope Angle in Soil Mechanics

(Calculation completed in 00.021 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Slope Angle given Shear Strength along Slip Plane Formula

LaTeX Go

What is Slope Angle?

Slope angle (degree) is defined as the angle measured between a horizontal plane at a given point on the land surface.

How to Calculate Slope Angle given Shear Strength along Slip Plane?

Slope Angle given Shear Strength along Slip Plane calculator uses Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180))) to calculate the Slope Angle in Soil Mechanics, The Slope Angle given Shear Strength along Slip Plane is defined as the value of slope angle when we have prior information of other parameters used. Slope Angle in Soil Mechanics is denoted by θ_slope symbol.

How to calculate Slope Angle given Shear Strength along Slip Plane using this online calculator? To use this online calculator for Slope Angle given Shear Strength along Slip Plane, enter Shear Strength (ζ _soil), Cohesion of Soil (C_s), Length of Slip Plane (L), Weight of Wedge in Newton (W_wedge) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Slope Angle given Shear Strength along Slip Plane calculation can be explained with given input values -> 5156.62 = acos((25000-(5000*5))/(267*tan((0.802851455917241*pi)/180))).

FAQ

What is Slope Angle given Shear Strength along Slip Plane?

The Slope Angle given Shear Strength along Slip Plane is defined as the value of slope angle when we have prior information of other parameters used and is represented as θ_slope = acos((ζ _soil-(C_s*L))/(W_wedge*tan((φ*pi)/180))) or Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180))). Shear Strength of Soil is the strength of a material against the structural failure when the material fails in shear, Cohesion of Soil 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, Length of Slip Plane is the length of plane along which failure may occur, Weight of Wedge in Newton is defined as the weight of total soil which is in the form of wedge & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Slope Angle given Shear Strength along Slip Plane?

The Slope Angle given Shear Strength along Slip Plane is defined as the value of slope angle when we have prior information of other parameters used is calculated using Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180))). To calculate Slope Angle given Shear Strength along Slip Plane, you need Shear Strength (ζ _soil), Cohesion of Soil (C_s), Length of Slip Plane (L), Weight of Wedge in Newton (W_wedge) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Shear Strength, Cohesion of Soil, Length of Slip Plane, Weight of Wedge in Newton & Angle of Internal Friction 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 Slope Angle in Soil Mechanics?

In this formula, Slope Angle in Soil Mechanics uses Shear Strength, Cohesion of Soil, Length of Slip Plane, Weight of Wedge in Newton & Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton)

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