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Length of Slip Plane given Shear Strength along Slip Plane Formula

GoLength of Slip Plane given Weight of Wedge of Soil Formula

GoLength of Slip Plane given Cohesive Force 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{T f - (W \cdot \cos (\frac{θ slope \cdot π}{180}) \cdot \tan (\frac{φ \cdot π}{180}))}{c}

L - Length of Slip Plane?T_f - Shear Strength of Soil?W - Weight of Wedge?θ_slope - Slope Angle in Soil Mechanics?φ - Angle of Internal Friction?c - Cohesion in Soil?π - Archimedes' constant?

Length of Slip Plane given Shear Strength along Slip Plane Example

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Here is how the Length of Slip Plane given Shear Strength along Slip Plane equation looks like with Values.

Here is how the Length of Slip Plane given Shear Strength along Slip Plane equation looks like with Units.

Here is how the Length of Slip Plane given Shear Strength along Slip Plane equation looks like.

9.6877 = \frac{20 - (10.01 \cdot \cos (\frac{36.89 \cdot 3.1416}{180}) \cdot \tan (\frac{46 \cdot 3.1416}{180}))}{2.05}

9.6877m = \frac{20Pa - (10.01kg \cdot \cos (\frac{36.89° \cdot 3.1416}{180}) \cdot \tan (\frac{46° \cdot 3.1416}{180}))}{2.05Pa}

9.6877 = \frac{20 - (10.01 \cdot \cos (\frac{36.89 \cdot 3.1416}{180}) \cdot \tan (\frac{46 \cdot 3.1416}{180}))}{2.05}

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Length of Slip Plane given Shear Strength along Slip Plane Solution

Follow our step by step solution on how to calculate Length of Slip Plane given Shear Strength along Slip Plane?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{20Pa - (10.01kg \cdot \cos (\frac{36.89° \cdot π}{180}) \cdot \tan (\frac{46° \cdot π}{180}))}{2.05Pa}

Next Step Substitute values of Constants

∴

L = \frac{20Pa - (10.01kg \cdot \cos (\frac{36.89° \cdot 3.1416}{180}) \cdot \tan (\frac{46° \cdot 3.1416}{180}))}{2.05Pa}

Next Step Convert Units

∴

L = \frac{20Pa - (10.01kg \cdot \cos (\frac{0.6439rad \cdot 3.1416}{180}) \cdot \tan (\frac{0.8029rad \cdot 3.1416}{180}))}{2.05Pa}

Next Step Prepare to Evaluate

∴

L = \frac{20 - (10.01 \cdot \cos (\frac{0.6439 \cdot 3.1416}{180}) \cdot \tan (\frac{0.8029 \cdot 3.1416}{180}))}{2.05}

Next Step Evaluate

∴

L = 9.68767587248946m

LAST Step Rounding Answer

∴

L = 9.6877m

Length of Slip Plane given Shear Strength along Slip Plane Formula Elements

Variables

Constants

Functions

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

Shear Strength of Soil

Shear strength of soil is the strength of a material against the structural failure when the material fails in shear.

Symbol: T_f

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Strength of Soil

Weight of Wedge

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

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Wedge

Slope Angle in Soil Mechanics

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

Symbol: θ_slope

Measurement: AngleUnit: °

Note: Value should be between -45 to 180.

Formulas to find Slope Angle in Soil Mechanics

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force .

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Cohesion in Soil

Cohesion in Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Cohesion in Soil

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Length of Slip Plane

Go Length of Slip Plane given Weight of Wedge of Soil

L = \frac{W we}{\frac{h \cdot γ}{2}}

Go Length of Slip Plane given Cohesive Force along Slip Plane

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

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 Shear Strength along Slip Plane?

Length of Slip Plane given Shear Strength along Slip Plane evaluator uses 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 to evaluate the Length of Slip Plane, The Length of Slip Plane given Shear Strength along Slip Plane 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 Shear Strength along Slip Plane using this online evaluator? To use this online evaluator for Length of Slip Plane given Shear Strength along Slip Plane, enter Shear Strength of Soil (T_f), Weight of Wedge (W), Slope Angle in Soil Mechanics (θ_slope), Angle of Internal Friction (φ) & Cohesion in Soil (c) and hit the calculate button.

FAQs on Length of Slip Plane given Shear Strength along Slip Plane

What is the formula to find Length of Slip Plane given Shear Strength along Slip Plane?

The formula of Length of Slip Plane given Shear Strength along Slip Plane is expressed as 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. Here is an example- 9.687676 = (20-(10.01*cos((0.643851961060587*pi)/180)*tan((0.802851455917241*pi)/180)))/2.05.

How to calculate Length of Slip Plane given Shear Strength along Slip Plane?

With Shear Strength of Soil (T_f), Weight of Wedge (W), Slope Angle in Soil Mechanics (θ_slope), Angle of Internal Friction (φ) & Cohesion in Soil (c) we can find Length of Slip Plane given Shear Strength along Slip Plane using the formula - 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. This formula also uses Archimedes' constant and , Cosine (cos), Tangent (tan) function(s).

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=Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)
Length of Slip Plane=Cohesive Force in KN/Mobilized Cohesion in Kilopascal

Can the Length of Slip Plane given Shear Strength along Slip Plane be negative?

No, the Length of Slip Plane given Shear Strength along Slip Plane, measured in Length cannot be negative.

Which unit is used to measure Length of Slip Plane given Shear Strength along Slip Plane?

Length of Slip Plane given Shear Strength along Slip Plane 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 Shear Strength along Slip Plane can be measured.

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Length of Slip Plane given Shear Strength along Slip Plane Formula

​GoLength of Slip Plane given Weight of Wedge of Soil Formula

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

Length of Slip Plane given Shear Strength along Slip Plane Example

Length of Slip Plane given Shear Strength along Slip Plane Solution

Length of Slip Plane given Shear Strength along Slip Plane 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 Shear Strength along Slip Plane?

FAQs on Length of Slip Plane given Shear Strength along Slip Plane

Variable Name

GoLength of Slip Plane given Weight of Wedge of Soil Formula

GoLength of Slip Plane given Cohesive Force along Slip Plane Formula