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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. Check FAQs
x'=cmWdradialL'
x' - Distance between LOA and COR?cm - Mobilized Shear Resistance of Soil?W - Weight of Body in Newtons?dradial - Radial Distance?L' - Length of Slip Arc?

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion Example

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Here is how the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion equation looks like with Values.

Here is how the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion equation looks like with Units.

Here is how the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion equation looks like.

0.8925Edit=3.57Edit8Edit1.5Edit3.0001Edit
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Distance between Line of Action and Line Passing through Center given Mobilized Cohesion Solution

Follow our step by step solution on how to calculate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?

FIRST Step Consider the formula
x'=cmWdradialL'
Next Step Substitute values of Variables
x'=3.57Pa8N1.5m3.0001m
Next Step Prepare to Evaluate
x'=3.5781.53.0001
Next Step Evaluate
x'=0.89252975m
LAST Step Rounding Answer
x'=0.8925m

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion Formula Elements

Variables
Distance between LOA and COR
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.
Symbol: x'
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Mobilized Shear Resistance of Soil
Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.
Symbol: cm
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
Weight of Body in Newtons
Weight of Body in Newtons is the force with which a body is pulled toward the earth.
Symbol: W
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Radial Distance
Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Symbol: dradial
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Length of Slip Arc
Length of Slip Arc is the length of the arc formed by slip circle.
Symbol: L'
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Distance between LOA and COR

​Go Distance between Line of Action of Weight and Line Passing through Center
x'=cuL'dradialWfs
​Go Distance between Line of Action and Line Passing through Center given Driving Moment
x'=MDW

Other formulas in The Swedish Slip Circle Method category

​Go Radial Distance from Center of Rotation given Length of Slip Arc
dradial=360L'2πδ(180π)
​Go Arc Angle given Length of Slip Arc
δ=360L'2πdradial(π180)
​Go Moment of Resistance given Factor of Safety
Mr'=fsMD
​Go Driving Moment given Factor of Safety
MD=MRfs

How to Evaluate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?

Distance between Line of Action and Line Passing through Center given Mobilized Cohesion evaluator uses Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc) to evaluate the Distance between LOA and COR, The Distance between Line of Action and Line Passing through Center given Mobilized Cohesion formula is defined as distance between the line of action and centerline is the mobilized cohesion, defining the stability of a granular assembly. Distance between LOA and COR is denoted by x' symbol.

How to evaluate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion using this online evaluator? To use this online evaluator for Distance between Line of Action and Line Passing through Center given Mobilized Cohesion, enter Mobilized Shear Resistance of Soil (cm), Weight of Body in Newtons (W), Radial Distance (dradial) & Length of Slip Arc (L') and hit the calculate button.

FAQs on Distance between Line of Action and Line Passing through Center given Mobilized Cohesion

What is the formula to find Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?
The formula of Distance between Line of Action and Line Passing through Center given Mobilized Cohesion is expressed as Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc). Here is an example- 2.015067 = 3.57/((8*1.5)/3.0001).
How to calculate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?
With Mobilized Shear Resistance of Soil (cm), Weight of Body in Newtons (W), Radial Distance (dradial) & Length of Slip Arc (L') we can find Distance between Line of Action and Line Passing through Center given Mobilized Cohesion using the formula - Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc).
What are the other ways to Calculate Distance between LOA and COR?
Here are the different ways to Calculate Distance between LOA and COR-
  • Distance between LOA and COR=(Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)OpenImg
  • Distance between LOA and COR=Driving Moment/Weight of Body in NewtonsOpenImg
Can the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion be negative?
No, the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion, measured in Length cannot be negative.
Which unit is used to measure Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?
Distance between Line of Action and Line Passing through Center given Mobilized Cohesion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Line of Action and Line Passing through Center given Mobilized Cohesion can be measured.
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