Height from Toe of Wedge to Top of Wedge Calculator

✖Height of Wedge is defined as the height of soil wedge considered.ⓘ Height of Wedge [h]			+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 [H]

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Height from Toe of Wedge to Top of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
H = h/((sin(((θ_i-θ)*pi)/180))/sin((θ_i*pi)/180))
This formula uses 1 Constants, 1 Functions, 4 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.
Height of Wedge - (Measured in Meter) - Height of Wedge is defined as the height of soil wedge considered.
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

Height of Wedge: 3.01 Meter --> 3.01 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 = h/((sin(((θ_i-θ)*pi)/180))/sin((θ_i*pi)/180)) --> 3.01/((sin(((0.643153829359789-0.4363323129985)*pi)/180))/sin((0.643153829359789*pi)/180))

Evaluating ... ...

H = 9.36003472792083

STEP 3: Convert Result to Output's Unit

9.36003472792083 Meter --> No Conversion Required

FINAL ANSWER

9.36003472792083 ≈ 9.360035 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

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

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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 Formula

LaTeX Go

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 from Toe of Wedge to Top of Wedge?

Height from Toe of Wedge to Top of Wedge calculator uses 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)) to calculate the Height from Toe of Wedge to Top of Wedge, The Height from Toe of Wedge to Top of Wedge is defined as the value of height from toe of the wedge of soil to top of the 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 using this online calculator? To use this online calculator for Height from Toe of Wedge to Top of Wedge, enter Height of Wedge (h), 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 calculation can be explained with given input values -> 9.328938 = 3.01/((sin(((0.643153829359789-0.4363323129985)*pi)/180))/sin((0.643153829359789*pi)/180)).

FAQ

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

The Height from Toe of Wedge to Top of Wedge is defined as the value of height from toe of the wedge of soil to top of the wedge when we have prior information of other parameters used and is represented as H = h/((sin(((θ_i-θ)*pi)/180))/sin((θ_i*pi)/180)) or 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 of Wedge is defined as the height of soil wedge considered, 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?

The Height from Toe of Wedge to Top of Wedge is defined as the value of height from toe of the wedge of soil to top of the wedge when we have prior information of other parameters used is calculated using 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)). To calculate Height from Toe of Wedge to Top of Wedge, you need Height of Wedge (h), Angle of Inclination in Soil Mechanics (θ_i) & Slope Angle (θ). With our tool, you need to enter the respective value for Height of Wedge, 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 Height of Wedge, 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 = 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)))
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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