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)
θslope = asin(τ s/Wwedge)
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
θslope = asin(τ s/Wwedge) --> asin(160/267)
Evaluating ... ...
θslope = 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)

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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 Stress along Slip Plane Formula

​LaTeX ​Go
Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton)
θslope = asin(τ s/Wwedge)

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 θslope 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 s) & Weight of Wedge in Newton (Wwedge) 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 θslope = asin(τ s/Wwedge) 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 s) & Weight of Wedge in Newton (Wwedge). 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)))
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