Height from Toe of Wedge to Top of Wedge given Weight of Wedge 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%
✖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 [L]			+10% -10%
✖Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis).ⓘ Angle of Inclination in Soil Mechanics [θ_i]			+10% -10%
✖Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.ⓘ Slope Angle [θ]			+10% -10%

✖Height from Toe of Wedge to Top of Wedge of soil.ⓘ Height from Toe of Wedge to Top of Wedge given Weight of Wedge [H]

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Height from Toe of Wedge to Top of Wedge given Weight of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180)))
H = W_we/((γ*L*(sin(((θ_i-θ)*pi)/180)))/(2*sin((θ_i*pi)/180)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

Height from Toe of Wedge to Top of Wedge - (Measured in Meter) - Height from Toe of Wedge to Top of Wedge of soil.
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.
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.
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.
Angle of Inclination in Soil Mechanics - (Measured in Radian) - Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis).
Slope Angle - (Measured in Radian) - Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.

STEP 1: Convert Input(s) to Base Unit

Weight of Wedge in Kilonewton: 138.09 Kilonewton --> 138090 Newton (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Length of Slip Plane: 5 Meter --> 5 Meter No Conversion Required
Angle of Inclination in Soil Mechanics: 36.85 Degree --> 0.643153829359789 Radian (Check conversion here)
Slope Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = W_we/((γ*L*(sin(((θ_i-θ)*pi)/180)))/(2*sin((θ_i*pi)/180))) --> 138090/((18000*5*(sin(((0.643153829359789-0.4363323129985)*pi)/180)))/(2*sin((0.643153829359789*pi)/180)))

Evaluating ... ...

H = 9.5424672984761

STEP 3: Convert Result to Output's Unit

9.5424672984761 Meter --> No Conversion Required

FINAL ANSWER

9.5424672984761 ≈ 9.542467 Meter <-- Height from Toe of Wedge to Top 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 from Toe of Wedge to Top of Wedge given Weight of Wedge Formula

LaTeX Go

What is unit weight of soil ?

In soil engineering, unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume.

How to Calculate Height from Toe of Wedge to Top of Wedge given Weight of Wedge?

Height from Toe of Wedge to Top of Wedge given Weight of Wedge calculator uses Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180))) to calculate the Height from Toe of Wedge to Top of Wedge, The Height from Toe of Wedge to Top of Wedge given Weight of Wedge is defined as the value of height from toe to top of wedge when we have prior information of other parameters used. Height from Toe of Wedge to Top of Wedge is denoted by H symbol.

How to calculate Height from Toe of Wedge to Top of Wedge given Weight of Wedge using this online calculator? To use this online calculator for Height from Toe of Wedge to Top of Wedge given Weight of Wedge, enter Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ), Length of Slip Plane (L), Angle of Inclination in Soil Mechanics (θ_i) & Slope Angle (θ) and hit the calculate button. Here is how the Height from Toe of Wedge to Top of Wedge given Weight of Wedge calculation can be explained with given input values -> 5.396273 = 138090/((18000*5*(sin(((0.643153829359789-0.4363323129985)*pi)/180)))/(2*sin((0.643153829359789*pi)/180))).

FAQ

What is Height from Toe of Wedge to Top of Wedge given Weight of Wedge?

The Height from Toe of Wedge to Top of Wedge given Weight of Wedge is defined as the value of height from toe to top of wedge when we have prior information of other parameters used and is represented as H = W_we/((γ*L*(sin(((θ_i-θ)*pi)/180)))/(2*sin((θ_i*pi)/180))) or Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180))). Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Length of Slip Plane is the length of plane along which failure may occur, Angle of Inclination in Soil Mechanics the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis) & Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.

How to calculate Height from Toe of Wedge to Top of Wedge given Weight of Wedge?

The Height from Toe of Wedge to Top of Wedge given Weight of Wedge is defined as the value of height from toe to top of wedge when we have prior information of other parameters used is calculated using Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180))). To calculate Height from Toe of Wedge to Top of Wedge given Weight of Wedge, you need Weight of Wedge in Kilonewton (W_we), Unit Weight of Soil (γ), Length of Slip Plane (L), Angle of Inclination in Soil Mechanics (θ_i) & Slope Angle (θ). With our tool, you need to enter the respective value for Weight of Wedge in Kilonewton, Unit Weight of Soil, Length of Slip Plane, Angle of Inclination in Soil Mechanics & Slope Angle 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 from Toe of Wedge to Top of Wedge?

In this formula, Height from Toe of Wedge to Top of Wedge uses Weight of Wedge in Kilonewton, Unit Weight of Soil, Length of Slip Plane, Angle of Inclination in Soil Mechanics & Slope Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height from Toe of Wedge to Top of Wedge = Height of Wedge/((sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180))
Height from Toe of Wedge to Top of Wedge = (Effective Cohesion in Geotech as Kilopascal/((1/2)*(Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Critical Slope Angle in Soil Mechanics*pi)/180)))*Unit Weight of Soil*(sin(((Angle of Inclination to Horizontal in Soil-Critical Slope Angle in Soil Mechanics)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Critical Slope Angle in Soil Mechanics*pi)/180)))
Height from Toe of Wedge to Top of Wedge = Mobilized Cohesion in Soil Mechanics/(0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)*Unit Weight of Soil)

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