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Height of Wedge of Soil given Weight of Wedge Formula

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

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

h = \frac{W we}{\frac{L \cdot γ}{2}}

h - Height of Wedge?W_we - Weight of Wedge in Kilonewton?L - Length of Slip Plane?γ - Unit Weight of Soil?

Height of Wedge of Soil given Weight of Wedge Example

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Here is how the Height of Wedge of Soil given Weight of Wedge equation looks like with Values.

Here is how the Height of Wedge of Soil given Weight of Wedge equation looks like with Units.

Here is how the Height of Wedge of Soil given Weight of Wedge equation looks like.

3.0687 = \frac{138.09}{\frac{5 \cdot 18}{2}}

3.0687m = \frac{138.09kN}{\frac{5m \cdot 18kN/m³}{2}}

3.0687 = \frac{138.09}{\frac{5 \cdot 18}{2}}

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Height of Wedge of Soil given Weight of Wedge Solution

Follow our step by step solution on how to calculate Height of Wedge of Soil given Weight of Wedge?

FIRST Step Consider the formula

h = \frac{W we}{\frac{L \cdot γ}{2}}

Next Step Substitute values of Variables

∴

h = \frac{138.09kN}{\frac{5m \cdot 18kN/m³}{2}}

Next Step Convert Units

∴

h = \frac{138090N}{\frac{5m \cdot 18000N/m³}{2}}

Next Step Prepare to Evaluate

∴

h = \frac{138090}{\frac{5 \cdot 18000}{2}}

Next Step Evaluate

∴

h = 3.06866666666667m

LAST Step Rounding Answer

∴

h = 3.0687m

Height of Wedge of Soil given Weight of Wedge Formula Elements

Variables

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

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

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

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

Other Formulas to find Height of Wedge

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})}

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 Weight of Wedge?

Height of Wedge of Soil given Weight of Wedge evaluator uses Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2) to evaluate the Height of Wedge, The Height of Wedge of Soil given Weight of Wedge 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 Weight of Wedge using this online evaluator? To use this online evaluator for Height of Wedge of Soil given Weight of Wedge, enter Weight of Wedge in Kilonewton (W_we), Length of Slip Plane (L) & Unit Weight of Soil (γ) and hit the calculate button.

FAQs on Height of Wedge of Soil given Weight of Wedge

What is the formula to find Height of Wedge of Soil given Weight of Wedge?

The formula of Height of Wedge of Soil given Weight of Wedge is expressed as Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2). Here is an example- 3.068667 = 138090/((5*18000)/2).

How to calculate Height of Wedge of Soil given Weight of Wedge?

With Weight of Wedge in Kilonewton (W_we), Length of Slip Plane (L) & Unit Weight of Soil (γ) we can find Height of Wedge of Soil given Weight of Wedge using the formula - Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2).

What are the other ways to Calculate Height of Wedge?

Here are the different ways to Calculate Height of Wedge-

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)

Can the Height of Wedge of Soil given Weight of Wedge be negative?

No, the Height of Wedge of Soil given Weight of Wedge, measured in Length cannot be negative.

Which unit is used to measure Height of Wedge of Soil given Weight of Wedge?

Height of Wedge of Soil 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 of Wedge of Soil given Weight of Wedge can be measured.

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Height of Wedge of Soil given Weight of Wedge Formula

​GoHeight of Wedge of Soil given Angle of Inclination and Slope angle Formula

Height of Wedge of Soil given Weight of Wedge Example

Height of Wedge of Soil given Weight of Wedge Solution

Height of Wedge of Soil given Weight of Wedge 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 Weight of Wedge?

FAQs on Height of Wedge of Soil given Weight of Wedge

Variable Name

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