Length of Slip Arc given Factor of Safety 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%
✖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%
✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%
✖Weight of Body in Newtons is the force with which a body is pulled toward the earth.ⓘ Weight of Body in Newtons [W]			+10% -10%
✖Distance between LOA and COR is the distance between the line of action and the line passing through the center which is the perpendicular distance from a point to a line in a geometric configuration.ⓘ Distance between LOA and COR [x']			+10% -10%

✖Length of Slip Arc with Factor of Safety is the measurement of the path along which potential sliding or failure could occur in a slope or soil mass, considering FOS.ⓘ Length of Slip Arc given Factor of Safety [L_s']

⎘ Copy

👎

Formula

✖

Length of Slip Arc given Factor of Safety

Formula

L s' = \frac{f s}{\frac{c u \cdot d radial}{W \cdot x'}}

Example

1.866667 m = \frac{2.8}{\frac{10 Pa \cdot 1.5 m}{8 N \cdot 1.25 m}}

Calculator

LaTeX

Reset

👍

Download The Swedish Slip Circle Method Formulas PDF PDF Image

Length of Slip Arc given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR))
L_s' = f_s/((c_u*d_radial)/(W*x'))
This formula uses 6 Variables

Variables Used

Length of Slip Arc with Factor of Safety - (Measured in Meter) - Length of Slip Arc with Factor of Safety is the measurement of the path along which potential sliding or failure could occur in a slope or soil mass, considering FOS.
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.
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.
Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Weight of Body in Newtons - (Measured in Newton) - Weight of Body in Newtons is the force with which a body is pulled toward the earth.
Distance between LOA and COR - (Measured in Meter) - Distance between LOA and COR is the distance between the line of action and the line passing through the center which is the perpendicular distance from a point to a line in a geometric configuration.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety: 2.8 --> No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required
Distance between LOA and COR: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_s' = f_s/((c_u*d_radial)/(W*x')) --> 2.8/((10*1.5)/(8*1.25))

Evaluating ... ...

L_s' = 1.86666666666667

STEP 3: Convert Result to Output's Unit

1.86666666666667 Meter --> No Conversion Required

FINAL ANSWER

1.86666666666667 ≈ 1.866667 Meter <-- Length of Slip Arc with Factor of Safety

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Length of Slip Arc given Factor of Safety

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< The Swedish Slip Circle Method Calculators

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)

Moment of Resistance given Factor of Safety

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

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Length of Slip Arc given Factor of Safety Formula

Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR))
L_s' = f_s/((c_u*d_radial)/(W*x'))

What is Slip Circle Method?

The Swedish slip circle method assumes a circular failure interface, and analyzes stress and strength parameters using circular geometry and statics. The moment caused by the internal driving forces of a slope is compared to the moment caused by forces resisting slope failure.

How to Calculate Length of Slip Arc given Factor of Safety?

Length of Slip Arc given Factor of Safety calculator uses Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)) to calculate the Length of Slip Arc with Factor of Safety, The Length of Slip Arc given Factor of Safety formula is defined as value of length of slip arc when we have prior information of factor of safety. Length of Slip Arc with Factor of Safety is denoted by L_s' symbol.

How to calculate Length of Slip Arc given Factor of Safety using this online calculator? To use this online calculator for Length of Slip Arc given Factor of Safety, enter Factor of Safety (f_s), Unit Cohesion (c_u), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance between LOA and COR (x') and hit the calculate button. Here is how the Length of Slip Arc given Factor of Safety calculation can be explained with given input values -> 1.866667 = 2.8/((10*1.5)/(8*1.25)).

FAQ

What is Length of Slip Arc given Factor of Safety?

The Length of Slip Arc given Factor of Safety formula is defined as value of length of slip arc when we have prior information of factor of safety and is represented as L_s' = f_s/((c_u*d_radial)/(W*x')) or Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)). 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, Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles, Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point, Weight of Body in Newtons is the force with which a body is pulled toward the earth & Distance between LOA and COR is the distance between the line of action and the line passing through the center which is the perpendicular distance from a point to a line in a geometric configuration.

How to calculate Length of Slip Arc given Factor of Safety?

The Length of Slip Arc given Factor of Safety formula is defined as value of length of slip arc when we have prior information of factor of safety is calculated using Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)). To calculate Length of Slip Arc given Factor of Safety, you need Factor of Safety (f_s), Unit Cohesion (c_u), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance between LOA and COR (x'). With our tool, you need to enter the respective value for Factor of Safety, Unit Cohesion, Radial Distance, Weight of Body in Newtons & Distance between LOA and COR and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search