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

✖Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.ⓘ Mobilized Shear Resistance of Soil [c_m]			+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%
✖Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%
✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+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 Line of Action and Line Passing through Center given Mobilized Cohesion [x']

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

STEP 0: Pre-Calculation Summary

Formula Used

Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)
x' = c_m/((W*d_radial)/L^')
This formula uses 5 Variables

Variables Used

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.
Mobilized Shear Resistance of Soil - (Measured in Pascal) - Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts.
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.
Radial Distance - (Measured in Meter) - Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.

STEP 1: Convert Input(s) to Base Unit

Mobilized Shear Resistance of Soil: 3.57 Pascal --> 3.57 Pascal No Conversion Required
Weight of Body in Newtons: 8 Newton --> 8 Newton No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x' = c_m/((W*d_radial)/L^') --> 3.57/((8*1.5)/3.0001)

Evaluating ... ...

x' = 0.89252975

STEP 3: Convert Result to Output's Unit

0.89252975 Meter --> No Conversion Required

FINAL ANSWER

0.89252975 ≈ 0.89253 Meter <-- Distance between LOA and COR

(Calculation completed in 00.121 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< The Swedish Slip Circle Method Calculators

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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

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

LaTeX Go

Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)
x' = c_m/((W*d_radial)/L^')

What is Center of Rotation?

The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.

How to Calculate 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 calculator uses Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc) to calculate 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 calculate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion using this online calculator? To use this online calculator for Distance between Line of Action and Line Passing through Center given Mobilized Cohesion, enter Mobilized Shear Resistance of Soil (c_m), Weight of Body in Newtons (W), Radial Distance (d_radial) & Length of Slip Arc (L^') and hit the calculate button. Here is how the Distance between Line of Action and Line Passing through Center given Mobilized Cohesion calculation can be explained with given input values -> 2.015067 = 3.57/((8*1.5)/3.0001).

FAQ

What is Distance between Line of Action and Line Passing through Center given Mobilized Cohesion?

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 and is represented as x' = c_m/((W*d_radial)/L^') or Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc). Mobilized Shear Resistance of Soil is a result of friction and interlocking of particles, and possibly cementation or bonding at particle contacts, Weight of Body in Newtons is the force with which a body is pulled toward the earth, Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point & Length of Slip Arc is the length of the arc formed by slip circle.

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

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 is calculated using Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc). To calculate Distance between Line of Action and Line Passing through Center given Mobilized Cohesion, you need Mobilized Shear Resistance of Soil (c_m), Weight of Body in Newtons (W), Radial Distance (d_radial) & Length of Slip Arc (L^'). With our tool, you need to enter the respective value for Mobilized Shear Resistance of Soil, Weight of Body in Newtons, Radial Distance & Length of Slip Arc 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 Distance between LOA and COR?

In this formula, Distance between LOA and COR uses Mobilized Shear Resistance of Soil, Weight of Body in Newtons, Radial Distance & Length of Slip Arc. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)
Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

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