Height of Wedge of Soil given Angle of Inclination and Slope angle Calculator

✖Height from Toe of Wedge to Top of Wedge of soil.ⓘ Height from Toe of Wedge to Top 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 of Wedge is defined as the height of soil wedge considered.ⓘ Height of Wedge of Soil given Angle of Inclination and Slope angle [h]

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Formula

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Height of Wedge of Soil given Angle of Inclination and Slope angle

Formula

h = \frac{H \cdot \sin (\frac{(θ i - θ) \cdot π}{180})}{\sin (\frac{θ i \cdot π}{180})}

Example

3.2158 m = \frac{10 m \cdot \sin (\frac{(36.85 ° - 25 °) \cdot π}{180})}{\sin (\frac{36.85 ° \cdot π}{180})}

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Height of Wedge of Soil given Angle of Inclination and Slope angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
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 of Wedge - (Measured in Meter) - Height of Wedge is defined as the height of soil wedge considered.
Height from Toe of Wedge to Top of Wedge - (Measured in Meter) - Height from Toe of Wedge to Top of Wedge of soil.
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 from Toe of Wedge to Top of Wedge: 10 Meter --> 10 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) --> (10*sin(((0.643153829359789-0.4363323129985)*pi)/180))/sin((0.643153829359789*pi)/180)

Evaluating ... ...

h = 3.21580003439647

STEP 3: Convert Result to Output's Unit

3.21580003439647 Meter --> No Conversion Required

FINAL ANSWER

3.21580003439647 ≈ 3.2158 Meter <-- Height of Wedge

(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

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

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

Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Height of Wedge of Soil given Angle of Inclination and Slope angle Formula

What is Slope Angle?

Angle of slope represents the angle that's formed between the run (remember it's an idealized flat surface that ignores elevation change) and your climb's angular deviation from that idealized flat surface.

How to Calculate Height of Wedge of Soil given Angle of Inclination and Slope angle?

Height of Wedge of Soil given Angle of Inclination and Slope angle calculator uses 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) to calculate the Height of Wedge, The Height of Wedge of Soil given Angle of Inclination and Slope angle 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 Angle of Inclination and Slope angle using this online calculator? To use this online calculator for Height of Wedge of Soil given Angle of Inclination and Slope angle, enter Height from Toe of Wedge to Top of Wedge (H), Angle of Inclination in Soil Mechanics (θ_i) & Slope Angle (θ) and hit the calculate button. Here is how the Height of Wedge of Soil given Angle of Inclination and Slope angle calculation can be explained with given input values -> 3.2158 = (10*sin(((0.643153829359789-0.4363323129985)*pi)/180))/sin((0.643153829359789*pi)/180).

FAQ

What is Height of Wedge of Soil given Angle of Inclination and Slope angle?

The Height of Wedge of Soil given Angle of Inclination and Slope angle 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 = (H*sin(((θ_i-θ)*pi)/180))/sin((θ_i*pi)/180) or 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 from Toe of Wedge to Top of Wedge of soil, 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 of Wedge of Soil given Angle of Inclination and Slope angle?

The Height of Wedge of Soil given Angle of Inclination and Slope angle 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 = (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). To calculate Height of Wedge of Soil given Angle of Inclination and Slope angle, you need Height from Toe of Wedge to Top 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 from Toe of Wedge to Top 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 of Wedge?

In this formula, Height of Wedge uses Height from Toe of Wedge to Top of Wedge, Angle of Inclination in Soil Mechanics & Slope Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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