Slope Angle given Shear Stress along Slip Plane Calculator

✖Average Shear Stress on Shear Plane in Soil Mech is the ratio of shear force on the shear plane to the area of shear plane.ⓘ Average Shear Stress on Shear Plane in Soil Mech [τ _s]			+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%

✖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 Stress along Slip Plane [θ_slope]

⎘ Copy

👎

Formula

✖

Slope Angle given Shear Stress along Slip Plane

Formula

θ slope = a \sin (\frac{τ s}{W wedge})

Example

36.81627 ° = a \sin (\frac{160 N/m²}{267 N})

Calculator

LaTeX

Reset

👍

Download Slope Stability Analysis using Culman's Method Formulas PDF PDF Image

Slope Angle given Shear Stress along Slip Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton)
θ_slope = asin(τ _s/W_wedge)
This formula uses 2 Functions, 3 Variables

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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(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.
Average Shear Stress on Shear Plane in Soil Mech - (Measured in Pascal) - Average Shear Stress on Shear Plane in Soil Mech is the ratio of shear force on the shear plane to the area of shear plane.
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.

STEP 1: Convert Input(s) to Base Unit

Average Shear Stress on Shear Plane in Soil Mech: 160 Newton per Square Meter --> 160 Pascal (Check conversion here)
Weight of Wedge in Newton: 267 Newton --> 267 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_slope = asin(τ _s/W_wedge) --> asin(160/267)

Evaluating ... ...

θ_slope = 0.642565107605408

STEP 3: Convert Result to Output's Unit

0.642565107605408 Radian -->36.8162687281664 Degree (Check conversion here)

FINAL ANSWER

36.8162687281664 ≈ 36.81627 Degree <-- Slope Angle in Soil Mechanics

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Slope Stability Analysis using Culman's Method » Slope Angle given Shear Stress along Slip Plane

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Slope Stability Analysis using Culman's Method Calculators

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

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

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

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

Cohesive Force along Slip Plane

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

Slope Angle given Shear Stress along Slip Plane Formula

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

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 Stress along Slip Plane?

Slope Angle given Shear Stress along Slip Plane calculator uses Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton) to calculate the Slope Angle in Soil Mechanics, The Slope Angle given Shear Stress 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 Stress along Slip Plane using this online calculator? To use this online calculator for Slope Angle given Shear Stress along Slip Plane, enter Average Shear Stress on Shear Plane in Soil Mech (τ _s) & Weight of Wedge in Newton (W_wedge) and hit the calculate button. Here is how the Slope Angle given Shear Stress along Slip Plane calculation can be explained with given input values -> 2109.417 = asin(160/267).

FAQ

What is Slope Angle given Shear Stress along Slip Plane?

The Slope Angle given Shear Stress 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 = asin(τ _s/W_wedge) or Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton). Average Shear Stress on Shear Plane in Soil Mech is the ratio of shear force on the shear plane to the area of shear plane & Weight of Wedge in Newton is defined as the weight of total soil which is in the form of wedge.

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

The Slope Angle given Shear Stress 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 = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton). To calculate Slope Angle given Shear Stress along Slip Plane, you need Average Shear Stress on Shear Plane in Soil Mech (τ _s) & Weight of Wedge in Newton (W_wedge). With our tool, you need to enter the respective value for Average Shear Stress on Shear Plane in Soil Mech & Weight of Wedge in Newton 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 Average Shear Stress on Shear Plane in Soil Mech & Weight of Wedge in Newton. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

Home

FREE PDFs

🔍 Search