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Length of Slip Plane given Weight of Wedge of Soil Formula

GoLength of Slip Plane given Cohesive Force along Slip Plane Formula

GoLength of Slip Plane given Shear Strength along Slip Plane Formula

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

L = \frac{W we}{\frac{h \cdot γ}{2}}

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

Length of Slip Plane given Weight of Wedge of Soil Example

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Here is how the Length of Slip Plane given Weight of Wedge of Soil equation looks like with Values.

Here is how the Length of Slip Plane given Weight of Wedge of Soil equation looks like with Units.

Here is how the Length of Slip Plane given Weight of Wedge of Soil equation looks like.

5.0975 = \frac{138.09}{\frac{3.01 \cdot 18}{2}}

5.0975m = \frac{138.09kN}{\frac{3.01m \cdot 18kN/m³}{2}}

5.0975 = \frac{138.09}{\frac{3.01 \cdot 18}{2}}

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Length of Slip Plane given Weight of Wedge of Soil Solution

Follow our step by step solution on how to calculate Length of Slip Plane given Weight of Wedge of Soil?

FIRST Step Consider the formula

L = \frac{W we}{\frac{h \cdot γ}{2}}

Next Step Substitute values of Variables

∴

L = \frac{138.09kN}{\frac{3.01m \cdot 18kN/m³}{2}}

Next Step Convert Units

∴

L = \frac{138090N}{\frac{3.01m \cdot 18000N/m³}{2}}

Next Step Prepare to Evaluate

∴

L = \frac{138090}{\frac{3.01 \cdot 18000}{2}}

Next Step Evaluate

∴

L = 5.09745293466224m

LAST Step Rounding Answer

∴

L = 5.0975m

Length of Slip Plane given Weight of Wedge of Soil Formula Elements

Variables

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

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

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

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 Length of Slip Plane

Go Length of Slip Plane given Cohesive Force along Slip Plane

L = \frac{F c}{C mob}

Go Length of Slip Plane given Shear Strength along Slip Plane

L = \frac{T f - (W \cdot \cos (\frac{θ slope \cdot π}{180}) \cdot \tan (\frac{φ \cdot π}{180}))}{c}

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 Length of Slip Plane given Weight of Wedge of Soil?

Length of Slip Plane given Weight of Wedge of Soil evaluator uses Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2) to evaluate the Length of Slip Plane, The Length of Slip Plane given Weight of Wedge of Soil is defined as the value of length of slip plane when we have prior information of other parameters used. Length of Slip Plane is denoted by L symbol.

How to evaluate Length of Slip Plane given Weight of Wedge of Soil using this online evaluator? To use this online evaluator for Length of Slip Plane given Weight of Wedge of Soil, enter Weight of Wedge in Kilonewton (W_we), Height of Wedge (h) & Unit Weight of Soil (γ) and hit the calculate button.

FAQs on Length of Slip Plane given Weight of Wedge of Soil

What is the formula to find Length of Slip Plane given Weight of Wedge of Soil?

The formula of Length of Slip Plane given Weight of Wedge of Soil is expressed as Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2). Here is an example- 5.097453 = 138090/((3.01*18000)/2).

How to calculate Length of Slip Plane given Weight of Wedge of Soil?

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

What are the other ways to Calculate Length of Slip Plane?

Here are the different ways to Calculate Length of Slip Plane-

Length of Slip Plane=Cohesive Force in KN/Mobilized Cohesion in Kilopascal
Length of Slip Plane=(Shear Strength of Soil-(Weight of Wedge*cos((Slope Angle in Soil Mechanics*pi)/180)*tan((Angle of Internal Friction*pi)/180)))/Cohesion in Soil

Can the Length of Slip Plane given Weight of Wedge of Soil be negative?

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

Which unit is used to measure Length of Slip Plane given Weight of Wedge of Soil?

Length of Slip Plane given Weight of Wedge of Soil is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Slip Plane given Weight of Wedge of Soil can be measured.

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Length of Slip Plane given Weight of Wedge of Soil Formula

​GoLength of Slip Plane given Cohesive Force along Slip Plane Formula

​GoLength of Slip Plane given Shear Strength along Slip Plane Formula

Length of Slip Plane given Weight of Wedge of Soil Example

Length of Slip Plane given Weight of Wedge of Soil Solution

Length of Slip Plane given Weight of Wedge of Soil Formula Elements

Other Formulas to find Length of Slip Plane

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

How to Evaluate Length of Slip Plane given Weight of Wedge of Soil?

FAQs on Length of Slip Plane given Weight of Wedge of Soil

Variable Name

GoLength of Slip Plane given Cohesive Force along Slip Plane Formula

GoLength of Slip Plane given Shear Strength along Slip Plane Formula