Factor of Safety given Unit Cohesion Calculator

✖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 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 with Factor of Safety [L_s']			+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%

✖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 given Unit Cohesion [f_s]

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Factor of Safety given Unit Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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.
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

Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Length of Slip Arc with Factor of Safety: 1.866 Meter --> 1.866 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 between LOA and COR: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = (c_u*L_s'*d_radial)/(W*x') --> (10*1.866*1.5)/(8*1.25)

Evaluating ... ...

f_s = 2.799

STEP 3: Convert Result to Output's Unit

2.799 --> No Conversion Required

FINAL ANSWER

2.799 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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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

Factor of Safety given Unit Cohesion Formula

LaTeX Go

Factor of Safety = (Unit Cohesion*Length of Slip Arc with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)
f_s = (c_u*L_s'*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 with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR) to calculate the Factor of Safety, The Factor of Safety given Unit Cohesion formula 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 with Factor of Safety (L_s'), 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 Factor of Safety given Unit Cohesion calculation can be explained with given input values -> 2.799 = (10*1.866*1.5)/(8*1.25).

FAQ

What is Factor of Safety given Unit Cohesion?

The Factor of Safety given Unit Cohesion formula 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_s'*d_radial)/(W*x') or Factor of Safety = (Unit Cohesion*Length of Slip Arc with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR). Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles, 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, 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 Factor of Safety given Unit Cohesion?

The Factor of Safety given Unit Cohesion formula 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 with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR). To calculate Factor of Safety given Unit Cohesion, you need Unit Cohesion (c_u), Length of Slip Arc with Factor of Safety (L_s'), 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 Unit Cohesion, Length of Slip Arc with Factor of Safety, 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.

How many ways are there to calculate Factor of Safety?

In this formula, Factor of Safety uses Unit Cohesion, Length of Slip Arc with Factor of Safety, Radial Distance, 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 -

Factor of Safety = Resisting Moment/Driving Moment
Factor of Safety = Unit Cohesion/Mobilized 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 in Soil Mechanics

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