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

GoHeight from Toe of Wedge to Top of Wedge Formula

GoHeight from Toe of Wedge to Top of Wedge given Factor of Safety Formula

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

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})}}

H - Height from Toe of Wedge to Top of Wedge?W_we - Weight of Wedge in Kilonewton?γ - Unit Weight of Soil?L - Length of Slip Plane?θ_i - Angle of Inclination in Soil Mechanics?θ - Slope Angle?π - Archimedes' constant?

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

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Here is how the Height from Toe of Wedge to Top of Wedge given Weight of Wedge equation looks like with Values.

Here is how the Height from Toe of Wedge to Top of Wedge given Weight of Wedge equation looks like with Units.

Here is how the Height from Toe of Wedge to Top of Wedge given Weight of Wedge equation looks like.

9.5425 = \frac{138.09}{\frac{18 \cdot 5 \cdot (\sin (\frac{(36.85 - 25) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{36.85 \cdot 3.1416}{180})}}

9.5425m = \frac{138.09kN}{\frac{18kN/m³ \cdot 5m \cdot (\sin (\frac{(36.85° - 25°) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{36.85° \cdot 3.1416}{180})}}

9.5425 = \frac{138.09}{\frac{18 \cdot 5 \cdot (\sin (\frac{(36.85 - 25) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{36.85 \cdot 3.1416}{180})}}

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

Follow our step by step solution on how to calculate Height from Toe of Wedge to Top of Wedge given Weight of Wedge?

FIRST Step Consider the formula

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})}}

Next Step Substitute values of Variables

∴

H = \frac{138.09kN}{\frac{18kN/m³ \cdot 5m \cdot (\sin (\frac{(36.85° - 25°) \cdot π}{180}))}{2 \cdot \sin (\frac{36.85° \cdot π}{180})}}

Next Step Substitute values of Constants

∴

H = \frac{138.09kN}{\frac{18kN/m³ \cdot 5m \cdot (\sin (\frac{(36.85° - 25°) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{36.85° \cdot 3.1416}{180})}}

Next Step Convert Units

∴

H = \frac{138090N}{\frac{18000N/m³ \cdot 5m \cdot (\sin (\frac{(0.6432rad - 0.4363rad) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{0.6432rad \cdot 3.1416}{180})}}

Next Step Prepare to Evaluate

∴

H = \frac{138090}{\frac{18000 \cdot 5 \cdot (\sin (\frac{(0.6432 - 0.4363) \cdot 3.1416}{180}))}{2 \cdot \sin (\frac{0.6432 \cdot 3.1416}{180})}}

Next Step Evaluate

∴

H = 9.5424672984761m

LAST Step Rounding Answer

∴

H = 9.5425m

Height from Toe of Wedge to Top of Wedge given Weight of Wedge Formula Elements

Variables

Constants

Functions

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

Weight of Wedge in Kilonewton

Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.

Symbol: W_we

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Weight of Wedge in Kilonewton

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Length of Slip Plane

Length of Slip Plane is the length of plane along which failure may occur.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Plane

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 from Toe of Wedge to Top of Wedge

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 Factor of Safety

H = (\frac{C eff}{(\frac{1}{2}) \cdot (F s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan (\frac{θ cr \cdot π}{180})})) \cdot γ \cdot (\frac{\sin (\frac{(i - θ cr) \cdot π}{180})}{\sin (\frac{i \cdot π}{180})}) \cdot \sin (\frac{θ cr \cdot π}{180})})

Go Height from Toe to Top of Wedge given Angle of Mobilized Friction

H = \frac{c m}{0.5 \cdot \cos e c (\frac{i \cdot π}{180}) \cdot \sec (\frac{φ mob \cdot π}{180}) \cdot \sin (\frac{(i - θ) \cdot π}{180}) \cdot \sin (\frac{(θ slope - φ mob) \cdot π}{180}) \cdot γ}

Go Safe Height from Toe to Top of Wedge

H = \frac{4 \cdot c m \cdot \sin (\frac{i \cdot π}{180}) \cdot \cos (\frac{φ mob \cdot π}{180})}{γ \cdot (1 - \cos (\frac{(i - φ mob) \cdot π}{180}))}

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

Go Height of Wedge of Soil given Weight of Wedge

h = \frac{W we}{\frac{L \cdot γ}{2}}

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 of Wedge of Soil given Angle of Inclination and Slope angle

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

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Height from Toe of Wedge to Top of Wedge given Weight of Wedge using this online evaluator? To use this online evaluator 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.

FAQs on Height from Toe of Wedge to Top of Wedge given Weight of Wedge

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

The formula of Height from Toe of Wedge to Top of Wedge given Weight of Wedge is expressed as 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))). Here is an example- 5.396273 = 138090/((18000*5*(sin(((0.643153829359789-0.4363323129985)*pi)/180)))/(2*sin((0.643153829359789*pi)/180))).

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

With 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) we can find Height from Toe of Wedge to Top of Wedge given Weight of Wedge using the formula - 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))). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Height from Toe of Wedge to Top of Wedge?

Here are the different ways to Calculate Height from Toe of Wedge to Top of Wedge-

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)

Can the Height from Toe of Wedge to Top of Wedge given Weight of Wedge be negative?

No, the Height from Toe of Wedge to Top of Wedge given Weight of Wedge, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height from Toe of Wedge to Top of Wedge given Weight of Wedge can be measured.

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

​GoHeight from Toe of Wedge to Top of Wedge Formula

​GoHeight from Toe of Wedge to Top of Wedge given Factor of Safety Formula

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

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

Height from Toe of Wedge to Top of Wedge given Weight of Wedge Formula Elements

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

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

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

FAQs on Height from Toe of Wedge to Top of Wedge given Weight of Wedge

Variable Name

GoHeight from Toe of Wedge to Top of Wedge Formula

GoHeight from Toe of Wedge to Top of Wedge given Factor of Safety Formula