Length of Slip Circle given Sum of Tangential Component Calculator

✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety [f_s]			+10% -10%
✖Sum of All Tangential Component in Soil Mechanics means total tangential component.ⓘ Sum of All Tangential Component in Soil Mechanics [F_t]			+10% -10%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+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%

✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Circle given Sum of Tangential Component [L^']

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Length of Slip Circle given Sum of Tangential Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
L^' = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/c_u
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.
Sum of All Tangential Component in Soil Mechanics - (Measured in Newton) - Sum of All Tangential Component in Soil Mechanics means total tangential component.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
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

Factor of Safety: 2.8 --> No Conversion Required
Sum of All Tangential Component in Soil Mechanics: 11 Newton --> 11 Newton No Conversion Required
Sum of all Normal Component: 5.01 Newton --> 5.01 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

L^' = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/c_u --> ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/10

Evaluating ... ...

L^' = 3.07848454503778

STEP 3: Convert Result to Output's Unit

3.07848454503778 Meter --> No Conversion Required

FINAL ANSWER

3.07848454503778 ≈ 3.078485 Meter <-- Length of Slip Arc

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< The Swedish Slip Circle Method Calculators

Radial Distance from Center of Rotation given Length of Slip Arc

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

Arc Angle given Length of Slip Arc

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

Moment of Resistance given Factor of Safety

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

Driving Moment given Factor of Safety

LaTeX Go Driving Moment = Resisting Moment/Factor of Safety

Length of Slip Circle given Sum of Tangential Component Formula

LaTeX Go

What is Slip Circle?

The Swedish Slip Circle method assumes that the friction angle of the soil or rock is equal to zero.In other words, when friction angle is considered to be zero, the effective stress term goes to zero, thus equating the shear strength to the cohesion parameter of the given soil.

How to Calculate Length of Slip Circle given Sum of Tangential Component?

Length of Slip Circle given Sum of Tangential Component calculator uses 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 to calculate the Length of Slip Arc, The Length of Slip Circle given Sum of Tangential Component formula is defined as the circumference of the circular failure surface assumed to pass through a potential slip plane within a soil mass. It is a critical parameter used in analyzing slope stability, particularly in the context of the slip circle method. Length of Slip Arc is denoted by L^' symbol.

How to calculate Length of Slip Circle given Sum of Tangential Component using this online calculator? To use this online calculator for Length of Slip Circle given Sum of Tangential Component, enter Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Unit Cohesion (c_u) and hit the calculate button. Here is how the Length of Slip Circle given Sum of Tangential Component calculation can be explained with given input values -> 3.078485 = ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/10.

FAQ

What is Length of Slip Circle given Sum of Tangential Component?

The Length of Slip Circle given Sum of Tangential Component formula is defined as the circumference of the circular failure surface assumed to pass through a potential slip plane within a soil mass. It is a critical parameter used in analyzing slope stability, particularly in the context of the slip circle method and is represented as L^' = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/c_u or 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. Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it, Sum of All Tangential Component in Soil Mechanics means total tangential component, Sum of all Normal Component means total normal force on slip circle, 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 Length of Slip Circle given Sum of Tangential Component?

The Length of Slip Circle given Sum of Tangential Component formula is defined as the circumference of the circular failure surface assumed to pass through a potential slip plane within a soil mass. It is a critical parameter used in analyzing slope stability, particularly in the context of the slip circle method is calculated using 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. To calculate Length of Slip Circle given Sum of Tangential Component, you need Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Unit Cohesion (c_u). With our tool, you need to enter the respective value for Factor of Safety, Sum of All Tangential Component in Soil Mechanics, Sum of all Normal Component, 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.

How many ways are there to calculate Length of Slip Arc?

In this formula, Length of Slip Arc uses Factor of Safety, Sum of All Tangential Component in Soil Mechanics, Sum of all Normal Component, Angle of Internal Friction & Unit Cohesion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion
Length of Slip Arc = (2*pi*Radial Distance*Arc Angle*(180/pi))/360

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