Length of Slip Plane given Weight of Wedge of Soil Calculator

✖Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.ⓘ Weight of Wedge in Kilonewton [W_we]			+10% -10%
✖Height of Wedge is defined as the height of soil wedge considered.ⓘ Height of Wedge [h]			+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%

✖Length of Slip Plane is the length of plane along which failure may occur.ⓘ Length of Slip Plane given Weight of Wedge of Soil [L]

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Length of Slip Plane given Weight of Wedge of Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)
L = W_we/((h*γ)/2)
This formula uses 4 Variables

Variables Used

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 Kilonewton - (Measured in Newton) - Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.
Height of Wedge - (Measured in Meter) - Height of Wedge is defined as the height of soil wedge considered.
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.

STEP 1: Convert Input(s) to Base Unit

Weight of Wedge in Kilonewton: 138.09 Kilonewton --> 138090 Newton (Check conversion here)
Height of Wedge: 3.01 Meter --> 3.01 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = W_we/((h*γ)/2) --> 138090/((3.01*18000)/2)

Evaluating ... ...

L = 5.09745293466224

STEP 3: Convert Result to Output's Unit

5.09745293466224 Meter --> No Conversion Required

FINAL ANSWER

5.09745293466224 ≈ 5.097453 Meter <-- Length of Slip Plane

(Calculation completed in 00.020 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

Length of Slip Plane given Weight of Wedge of Soil Formula

LaTeX Go

Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)
L = W_we/((h*γ)/2)

What is Slip Plane?

A slip plane refers to the plane of greatest atomic density and the slip direction is the closest packed direction within the slip plane.

How to Calculate Length of Slip Plane given Weight of Wedge of Soil?

Length of Slip Plane given Weight of Wedge of Soil calculator uses Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2) to calculate the Length of Slip Plane, The Length of Slip Plane given Weight of Wedge of Soil is defined as the value of length of slip plane when we have prior information of other parameters used. Length of Slip Plane is denoted by L symbol.

How to calculate Length of Slip Plane given Weight of Wedge of Soil using this online calculator? To use this online calculator for Length of Slip Plane given Weight of Wedge of Soil, enter Weight of Wedge in Kilonewton (W_we), Height of Wedge (h) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Length of Slip Plane given Weight of Wedge of Soil calculation can be explained with given input values -> 5.097453 = 138090/((3.01*18000)/2).

FAQ

What is Length of Slip Plane given Weight of Wedge of Soil?

The Length of Slip Plane given Weight of Wedge of Soil is defined as the value of length of slip plane when we have prior information of other parameters used and is represented as L = W_we/((h*γ)/2) or Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2). Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton, Height of Wedge is defined as the height of soil wedge considered & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

How to calculate Length of Slip Plane given Weight of Wedge of Soil?

The Length of Slip Plane given Weight of Wedge of Soil is defined as the value of length of slip plane when we have prior information of other parameters used is calculated using Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2). To calculate Length of Slip Plane given Weight of Wedge of Soil, you need Weight of Wedge in Kilonewton (W_we), Height of Wedge (h) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Weight of Wedge in Kilonewton, Height of Wedge & Unit Weight of Soil 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 Length of Slip Plane?

In this formula, Length of Slip Plane uses Weight of Wedge in Kilonewton, Height of Wedge & Unit Weight of Soil. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal
Length of Slip Plane = (Shear Strength of Soil-(Weight of Wedge*cos((Slope Angle in Soil Mechanics*pi)/180)*tan((Angle of Internal Friction*pi)/180)))/Cohesion in Soil

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