Factor of Safety given Unit Cohesion Calculator

✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ 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%
✖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 the line of action and the line passing through the center is the perpendicular distance from a point to a line in a geometric configuration.ⓘ Distance [x']			+10% -10%

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety given Unit Cohesion [f_s]

⎘ Copy

👎

Formula

✖

Factor of Safety given Unit Cohesion

Formula

`"f"_{"s"} = ("c"_{"u"}*"L"^{"'"}*"d"_{"radial"})/("W"*"x'")`

Example

`"4.50015"=("10Pa"*"3.0001m"*"1.5m")/("8N"*"1.25m")`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF PDF Image

Factor of Safety given Unit Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
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 - (Measured in Meter) - Distance between the line of action and the line passing through the center is the perpendicular distance from a point to a line in a geometric configuration.

STEP 1: Convert Input(s) to Base Unit

Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter 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: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = (c_u*L^'*d_radial)/(W*x') --> (10*3.0001*1.5)/(8*1.25)

Evaluating ... ...

f_s = 4.50015

STEP 3: Convert Result to Output's Unit

4.50015 --> No Conversion Required

FINAL ANSWER

4.50015 <-- Factor of Safety

(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 » Factor of Safety given Unit Cohesion

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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

< 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)-(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 = ((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))))/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))

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))))

Normal Component given Resisting Force from Coulomb's Equation

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

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

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))

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

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

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

Go Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilised Shear resistance of Soil

Go Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)

Mobilised Shear resistance of Soil given Weight of Soil on Wedge

Go Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*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 = 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

Mobilised Shear resistance of Soil given Factor of Safety

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

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

Go Distance = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance

Moment of Resistance given Factor of Safety

Go Resisting Moment = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Factor of Safety given Unit Cohesion Formula

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

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Factor of Safety given Unit Cohesion?

Factor of Safety given Unit Cohesion calculator uses Factor of Safety = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Distance) to calculate the Factor of Safety, The Factor of Safety given Unit Cohesion is defined as ratio of resisting unit cohesion to applied stress, ensuring stability and preventing soil failure in geotechnical engineering. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety given Unit Cohesion using this online calculator? To use this online calculator for Factor of Safety given Unit Cohesion, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance (x') and hit the calculate button. Here is how the Factor of Safety given Unit Cohesion calculation can be explained with given input values -> 1.125038 = (10*3.0001*1.5)/(8*1.25).

FAQ

What is Factor of Safety given Unit Cohesion?

The Factor of Safety given Unit Cohesion is defined as ratio of resisting unit cohesion to applied stress, ensuring stability and preventing soil failure in geotechnical engineering and is represented as f_s = (c_u*L^'*d_radial)/(W*x') or Factor of Safety = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Distance). Unit Cohesion is the force that holds together molecules or like particles within a soil, Length of Slip Arc is the length of the arc formed by slip circle, 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 the line of action and the line passing through the center is the perpendicular distance from a point to a line in a geometric configuration.

How to calculate Factor of Safety given Unit Cohesion?

The Factor of Safety given Unit Cohesion is defined as ratio of resisting unit cohesion to applied stress, ensuring stability and preventing soil failure in geotechnical engineering is calculated using Factor of Safety = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Distance). To calculate Factor of Safety given Unit Cohesion, you need Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance (x'). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc, Radial Distance, Weight of Body in Newtons & Distance 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 Factor of Safety?

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

Factor of Safety = Resisting Moment/Driving Moment
Factor of Safety = Unit Cohesion/Mobilised Shear Resistance of Soil
Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component

Home

FREE PDFs

🔍 Search