✖Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.ⓘ Resisting Force [F_r]			+10% -10%
✖Normal Component of Force is the perpendicular component of force.ⓘ Normal Component of Force [N]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion [c_u]			+10% -10%

✖Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.ⓘ Curve Length of Each Slice given Resisting Force from Coulomb's Equation [ΔL]

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Formula

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Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Formula

`"ΔL" = ("F"_{"r"}-("N"*tan(("φ"))))/"c"_{"u"}`

Example

`"3.412641m"=("35N"-("4.99N"*tan(("9.93°"))))/"10Pa"`

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Curve Length of Each Slice given Resisting Force from Coulomb's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
ΔL = (F_r-(N*tan((φ))))/c_u
This formula uses 1 Functions, 5 Variables

Functions Used

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., tan(Angle)

Variables Used

Curve Length - (Measured in Meter) - Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.
Resisting Force - (Measured in Newton) - Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.
Normal Component of Force - (Measured in Newton) - Normal Component of Force is the perpendicular component of force.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

STEP 1: Convert Input(s) to Base Unit

Resisting Force: 35 Newton --> 35 Newton No Conversion Required
Normal Component of Force: 4.99 Newton --> 4.99 Newton No Conversion Required
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = (F_r-(N*tan((φ))))/c_u --> (35-(4.99*tan((0.173311194723004))))/10

Evaluating ... ...

ΔL = 3.4126412996116

STEP 3: Convert Result to Output's Unit

3.4126412996116 Meter --> No Conversion Required

FINAL ANSWER

3.4126412996116 ≈ 3.412641 Meter <-- Curve Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Curve Length of Each Slice given Resisting Force from Coulomb's Equation

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< 25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety

Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)

Length of Slip Circle given Sum of Tangential Component

Go Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion

Sum of Tangential Component given Factor of Safety

Go Sum of All Tangential Component in Soil Mechanics = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety

Total Length of Slip Circle given Resisting Moment

Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion

Sum of Normal Component given Resisting Moment

Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil))

Resisting Moment given Radius of Slip Circle

Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))

Radial Distance from Centre of Rotation given Factor of Safety

Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR))

Distance between Line of Action of Weight and Line Passing through Center

Go Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)

Normal Component given Resisting Force from Coulomb's Equation

Go Normal Component of Force in Soil Mechanics = (Resisting Force-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction))

Resisting Force from Coulomb's Equation

Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))

Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion

Go Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

Go Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Mobilized Shear Resistance of Soil given Weight of Soil on Wedge

Go Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*Radial Distance)/Length of Slip Arc

Radial Distance from Center of Rotation given Length of Slip Arc

Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Radial Distance from Centre of Rotation given Moment of Resistance

Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)

Moment of Resistance given Unit Cohesion

Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)

Sum of Tangential Component given Driving Moment

Go Sum of All Tangential Component in Soil Mechanics = Driving Moment/Radius of Slip Circle

Driving Moment given Radius of Slip Circle

Go Driving Moment = Radius of Slip Circle*Sum of All Tangential Component in Soil Mechanics

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Distance between Line of Action and Line Passing through Center given Driving Moment

Go Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance between LOA and COR

Mobilized Shear Resistance of Soil given Factor of Safety

Go Mobilized Shear Resistance of Soil = Unit Cohesion/Factor of Safety

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Curve Length of Each Slice given Resisting Force from Coulomb's Equation Formula

Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion
ΔL = (F_r-(N*tan((φ))))/c_u

What is Angle of Internal Friction?

The angle of internal friction is a physical property of earth materials or the slope of a linear representation of the shear strength of earth materials.

How to Calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

Curve Length of Each Slice given Resisting Force from Coulomb's Equation calculator uses Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion to calculate the Curve Length, The Curve Length of Each Slice given Resisting Force from Coulomb's Equation formula is defined as the length of the curved segment of a slip surface for each slice in a slope stability analysis using the method of slices. The resisting force is derived using Coulomb's equation, which takes into account the shear strength parameters of the soil. Curve Length is denoted by ΔL symbol.

How to calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation using this online calculator? To use this online calculator for Curve Length of Each Slice given Resisting Force from Coulomb's Equation, enter Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Unit Cohesion (c_u) and hit the calculate button. Here is how the Curve Length of Each Slice given Resisting Force from Coulomb's Equation calculation can be explained with given input values -> 3.412641 = (35-(4.99*tan((0.173311194723004))))/10.

FAQ

What is Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

The Curve Length of Each Slice given Resisting Force from Coulomb's Equation formula is defined as the length of the curved segment of a slip surface for each slice in a slope stability analysis using the method of slices. The resisting force is derived using Coulomb's equation, which takes into account the shear strength parameters of the soil and is represented as ΔL = (F_r-(N*tan((φ))))/c_u or Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion. Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure, Normal Component of Force is the perpendicular component of force, Angle of Internal Friction is the angle measured between the normal force and resultant force & Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

How to calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation?

The Curve Length of Each Slice given Resisting Force from Coulomb's Equation formula is defined as the length of the curved segment of a slip surface for each slice in a slope stability analysis using the method of slices. The resisting force is derived using Coulomb's equation, which takes into account the shear strength parameters of the soil is calculated using Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion. To calculate Curve Length of Each Slice given Resisting Force from Coulomb's Equation, you need Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Unit Cohesion (c_u). With our tool, you need to enter the respective value for Resisting Force, Normal Component of Force, Angle of Internal Friction & Unit Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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