Height of Wedge of Soil given Weight of Wedge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)
h = Wwe/((L*γ)/2)
This formula uses 4 Variables
Variables Used
Height of Wedge - (Measured in Meter) - Height of Wedge is defined as the height of soil wedge considered.
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.
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.
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)
Length of Slip Plane: 5 Meter --> 5 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
h = Wwe/((L*γ)/2) --> 138090/((5*18000)/2)
Evaluating ... ...
h = 3.06866666666667
STEP 3: Convert Result to Output's Unit
3.06866666666667 Meter --> No Conversion Required
FINAL ANSWER
3.06866666666667 3.068667 Meter <-- Height of Wedge
(Calculation completed in 00.004 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

Height of Wedge of Soil given Weight of Wedge Formula

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

What is Wedge?

A wedge is a triangular shaped tool, and is a portable inclined plane, and one of the six simple machines. It can be used to separate two objects or portions of an object, lift up an object, or hold an object in place.

How to Calculate Height of Wedge of Soil given Weight of Wedge?

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

How to calculate Height of Wedge of Soil given Weight of Wedge using this online calculator? To use this online calculator for Height of Wedge of Soil given Weight of Wedge, enter Weight of Wedge in Kilonewton (Wwe), Length of Slip Plane (L) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Height of Wedge of Soil given Weight of Wedge calculation can be explained with given input values -> 3.068667 = 138090/((5*18000)/2).

FAQ

What is Height of Wedge of Soil given Weight of Wedge?
The Height of Wedge of Soil given Weight of Wedge is defined as the value of height of wedge of soil when we have prior information of other parameters used and is represented as h = Wwe/((L*γ)/2) or Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*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, Length of Slip Plane is the length of plane along which failure may occur & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
How to calculate Height of Wedge of Soil given Weight of Wedge?
The Height of Wedge of Soil given Weight of Wedge is defined as the value of height of wedge of soil when we have prior information of other parameters used is calculated using Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2). To calculate Height of Wedge of Soil given Weight of Wedge, you need Weight of Wedge in Kilonewton (Wwe), Length of Slip Plane (L) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Weight of Wedge in Kilonewton, Length of Slip Plane & 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 Height of Wedge?
In this formula, Height of Wedge uses Weight of Wedge in Kilonewton, Length of Slip Plane & Unit Weight of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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