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

GoHeight of Wedge of Soil given Weight of Wedge Formula

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Height of Wedge is defined as the height of soil wedge considered. Check FAQs

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

h - Height of Wedge?H - Height from Toe of Wedge to Top of Wedge?θ_i - Angle of Inclination in Soil Mechanics?θ - Slope Angle?π - Archimedes' constant?

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

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Here is how the Height of Wedge of Soil given Angle of Inclination and Slope angle equation looks like with Values.

Here is how the Height of Wedge of Soil given Angle of Inclination and Slope angle equation looks like with Units.

Here is how the Height of Wedge of Soil given Angle of Inclination and Slope angle equation looks like.

3.2158 = \frac{10 \cdot \sin (\frac{(36.85 - 25) \cdot 3.1416}{180})}{\sin (\frac{36.85 \cdot 3.1416}{180})}

3.2158m = \frac{10m \cdot \sin (\frac{(36.85° - 25°) \cdot 3.1416}{180})}{\sin (\frac{36.85° \cdot 3.1416}{180})}

3.2158 = \frac{10 \cdot \sin (\frac{(36.85 - 25) \cdot 3.1416}{180})}{\sin (\frac{36.85 \cdot 3.1416}{180})}

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

Follow our step by step solution on how to calculate Height of Wedge of Soil given Angle of Inclination and Slope angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

h = \frac{10m \cdot \sin (\frac{(36.85° - 25°) \cdot 3.1416}{180})}{\sin (\frac{36.85° \cdot 3.1416}{180})}

Next Step Convert Units

∴

h = \frac{10m \cdot \sin (\frac{(0.6432rad - 0.4363rad) \cdot 3.1416}{180})}{\sin (\frac{0.6432rad \cdot 3.1416}{180})}

Next Step Prepare to Evaluate

∴

h = \frac{10 \cdot \sin (\frac{(0.6432 - 0.4363) \cdot 3.1416}{180})}{\sin (\frac{0.6432 \cdot 3.1416}{180})}

Next Step Evaluate

∴

h = 3.21580003439647m

LAST Step Rounding Answer

∴

h = 3.2158m

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

Variables

Constants

Functions

Height of Wedge

Height of Wedge is defined as the height of soil wedge considered.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Wedge

Height from Toe of Wedge to Top of Wedge

Height from Toe of Wedge to Top of Wedge of soil.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height from Toe of Wedge to Top of Wedge

Angle of Inclination in Soil Mechanics

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).

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination in Soil Mechanics

Slope Angle

Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Slope Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Height of Wedge

Go Height of Wedge of Soil given Weight of Wedge

h = \frac{W we}{\frac{L \cdot γ}{2}}

Other formulas in Slope Stability Analysis using Culman's Method category

Go Cohesive Force along Slip Plane

F c = c m \cdot L

Go Mobilized Cohesion given Cohesive Force along Slip Plane

c m = \frac{F c}{L}

Go Height from Toe of Wedge to Top of Wedge

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

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

H = \frac{W we}{\frac{γ \cdot L \cdot (\sin (\frac{(θ i - θ) \cdot π}{180}))}{2 \cdot \sin (\frac{θ i \cdot π}{180})}}

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

Height of Wedge of Soil given Angle of Inclination and Slope angle evaluator 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 evaluate 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 evaluate Height of Wedge of Soil given Angle of Inclination and Slope angle using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Height of Wedge of Soil given Angle of Inclination and Slope angle?

The formula of Height of Wedge of Soil given Angle of Inclination and Slope angle is expressed as 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). Here is an example- 3.2158 = (10*sin(((0.643153829359789-0.4363323129985)*pi)/180))/sin((0.643153829359789*pi)/180).

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

With Height from Toe of Wedge to Top of Wedge (H), Angle of Inclination in Soil Mechanics (θ_i) & Slope Angle (θ) we can find Height of Wedge of Soil given Angle of Inclination and Slope angle using the formula - 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). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Height of Wedge?

Here are the different ways to Calculate Height of Wedge-

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

Can the Height of Wedge of Soil given Angle of Inclination and Slope angle be negative?

No, the Height of Wedge of Soil given Angle of Inclination and Slope angle, measured in Length cannot be negative.

Which unit is used to measure Height of Wedge of Soil given Angle of Inclination and Slope angle?

Height of Wedge of Soil given Angle of Inclination and Slope angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Wedge of Soil given Angle of Inclination and Slope angle can be measured.

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

​GoHeight of Wedge of Soil given Weight of Wedge Formula

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

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

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

Other Formulas to find Height of Wedge

Other formulas in Slope Stability Analysis using Culman's Method category

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

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

Variable Name

GoHeight of Wedge of Soil given Weight of Wedge Formula