Unit Cohesion 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%
✖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 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%

✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion given Factor of Safety [c_u]

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Formula

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Unit Cohesion given Factor of Safety

Formula

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

Example

6.222015 Pa = 2.8 \cdot \frac{8 N \cdot 1.25 m}{3.0001 m \cdot 1.5 m}

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Unit Cohesion given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety: 2.8 --> 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
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_u = f_s*(W*x')/(L^'*d_radial) --> 2.8*(8*1.25)/(3.0001*1.5)

Evaluating ... ...

c_u = 6.22201482172816

STEP 3: Convert Result to Output's Unit

6.22201482172816 Pascal --> No Conversion Required

FINAL ANSWER

6.22201482172816 ≈ 6.222015 Pascal <-- Unit Cohesion

(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

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

Unit Cohesion given Factor of Safety Formula

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

What is Cohesion?

Cohesion, in physics, the intermolecular attractive force acting between two adjacent portions of a substance, particularly of a solid or liquid. It is this force that holds a piece of matter together.

How to Calculate Unit Cohesion given Factor of Safety?

Unit Cohesion given Factor of Safety calculator uses Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance) to calculate the Unit Cohesion, The Unit Cohesion given Factor of Safety formula is defined as the measure of the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls, considering factor of safety. Unit Cohesion is denoted by c_u symbol.

How to calculate Unit Cohesion given Factor of Safety using this online calculator? To use this online calculator for Unit Cohesion given Factor of Safety, enter Factor of Safety (f_s), Weight of Body in Newtons (W), Distance between LOA and COR (x'), Length of Slip Arc (L^') & Radial Distance (d_radial) and hit the calculate button. Here is how the Unit Cohesion given Factor of Safety calculation can be explained with given input values -> 10.03584 = 2.8*(8*1.25)/(3.0001*1.5).

FAQ

What is Unit Cohesion given Factor of Safety?

The Unit Cohesion given Factor of Safety formula is defined as the measure of the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls, considering factor of safety and is represented as c_u = f_s*(W*x')/(L^'*d_radial) or Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance). 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, 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, 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.

How to calculate Unit Cohesion given Factor of Safety?

The Unit Cohesion given Factor of Safety formula is defined as the measure of the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls, considering factor of safety is calculated using Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance). To calculate Unit Cohesion given Factor of Safety, you need Factor of Safety (f_s), Weight of Body in Newtons (W), Distance between LOA and COR (x'), Length of Slip Arc (L^') & Radial Distance (d_radial). With our tool, you need to enter the respective value for Factor of Safety, Weight of Body in Newtons, Distance between LOA and COR, Length of Slip Arc & Radial 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 Unit Cohesion?

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

Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil
Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
Unit Cohesion = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc

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