Critical Slope Angle given Angle of Inclination 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 is the slope angle at which an object starts sliding due to applied force.ⓘ Angle of Mobilized Friction [φ_m]			+10% -10%

✖Critical Slope Angle in Soil Mechanics is the angle formed by most dangerous plane.ⓘ Critical Slope Angle given Angle of Inclination [θ_cr]

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Critical Slope Angle given Angle of Inclination Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2
θ_cr = (i+φ_m)/2
This formula uses 3 Variables

Variables Used

Critical Slope Angle in Soil Mechanics - (Measured in Radian) - Critical Slope Angle in Soil Mechanics is the angle formed by most dangerous plane.
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 - (Measured in Radian) - Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

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: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_cr = (i+φ_m)/2 --> (1.11701072127616+0.698131700797601)/2

Evaluating ... ...

θ_cr = 0.907571211036881

STEP 3: Convert Result to Output's Unit

0.907571211036881 Radian -->52 Degree (Check conversion here)

FINAL ANSWER

52 Degree <-- Critical Slope Angle in Soil Mechanics

(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

Critical Slope Angle given Angle of Inclination Formula

LaTeX Go

Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2
θ_cr = (i+φ_m)/2

What is Critical Angle?

The angle of repose, or critical angle of repose, of a granular material is the steepest angle of descent or dip relative to the horizontal plane to which a material can be piled without slumping. At this angle, the material on the slope face is on the verge of sliding. The angle of repose can range from 0° to 90°.

How to Calculate Critical Slope Angle given Angle of Inclination?

Critical Slope Angle given Angle of Inclination calculator uses Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2 to calculate the Critical Slope Angle in Soil Mechanics, The Critical Slope Angle given Angle of Inclination is defined as the value of critical slope angle when we have prior information of other parameters used. Critical Slope Angle in Soil Mechanics is denoted by θ_cr symbol.

How to calculate Critical Slope Angle given Angle of Inclination using this online calculator? To use this online calculator for Critical Slope Angle given Angle of Inclination, enter Angle of Inclination to Horizontal in Soil (i) & Angle of Mobilized Friction (φ_m) and hit the calculate button. Here is how the Critical Slope Angle given Angle of Inclination calculation can be explained with given input values -> 2979.381 = (1.11701072127616+0.698131700797601)/2.

FAQ

What is Critical Slope Angle given Angle of Inclination?

The Critical Slope Angle given Angle of Inclination is defined as the value of critical slope angle when we have prior information of other parameters used and is represented as θ_cr = (i+φ_m)/2 or Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2. 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 is the slope angle at which an object starts sliding due to applied force.

How to calculate Critical Slope Angle given Angle of Inclination?

The Critical Slope Angle given Angle of Inclination is defined as the value of critical slope angle when we have prior information of other parameters used is calculated using Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2. To calculate Critical Slope Angle given Angle of Inclination, you need Angle of Inclination to Horizontal in Soil (i) & Angle of Mobilized Friction (φ_m). With our tool, you need to enter the respective value for Angle of Inclination to Horizontal in Soil & Angle of Mobilized Friction 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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