Radial Distance from Centre of Rotation 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%
✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+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%

✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Centre of Rotation given Factor of Safety [d_radial]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download The Swedish Slip Circle Method Formulas PDF PDF Image

Radial Distance from Centre of Rotation given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
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.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
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
Length of Slip Arc: 3.0001 Meter --> 3.0001 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

d_radial = f_s/((c_u*L^')/(W*x')) --> 2.8/((10*3.0001)/(8*1.25))

Evaluating ... ...

d_radial = 0.933302223259225

STEP 3: Convert Result to Output's Unit

0.933302223259225 Meter --> No Conversion Required

FINAL ANSWER

0.933302223259225 ≈ 0.933302 Meter <-- Radial Distance

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Radial Distance from Centre of Rotation 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

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

Radial Distance from Centre of Rotation given Factor of Safety Formula

LaTeX Go

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

What is Radial Distance?

The radial distance is also called the radius or radial coordinate. The polar angle may be called colatitude, zenith angle, normal angle, or inclination angle.

How to Calculate Radial Distance from Centre of Rotation given Factor of Safety?

Radial Distance from Centre of Rotation given Factor of Safety calculator uses Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR)) to calculate the Radial Distance, The Radial Distance from Centre of Rotation given Factor of Safety formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, given factor of safety. Radial Distance is denoted by d_radial symbol.

How to calculate Radial Distance from Centre of Rotation given Factor of Safety using this online calculator? To use this online calculator for Radial Distance from Centre of Rotation given Factor of Safety, enter Factor of Safety (f_s), Unit Cohesion (c_u), Length of Slip Arc (L^'), Weight of Body in Newtons (W) & Distance between LOA and COR (x') and hit the calculate button. Here is how the Radial Distance from Centre of Rotation given Factor of Safety calculation can be explained with given input values -> 1.505376 = 2.8/((10*3.0001)/(8*1.25)).

FAQ

What is Radial Distance from Centre of Rotation given Factor of Safety?

The Radial Distance from Centre of Rotation given Factor of Safety formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, given factor of safety and is represented as d_radial = f_s/((c_u*L^')/(W*x')) or Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(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, Length of Slip Arc is the length of the arc formed by slip circle, 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 Radial Distance from Centre of Rotation given Factor of Safety?

The Radial Distance from Centre of Rotation given Factor of Safety formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, given factor of safety is calculated using Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR)). To calculate Radial Distance from Centre of Rotation given Factor of Safety, you need Factor of Safety (f_s), Unit Cohesion (c_u), Length of Slip Arc (L^'), 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, Length of Slip Arc, 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.

How many ways are there to calculate Radial Distance?

In this formula, Radial Distance uses Factor of Safety, Unit Cohesion, Length of Slip Arc, Weight of Body in Newtons & Distance between LOA and COR. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)
Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Home

FREE PDFs

🔍 Search