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

✖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 of Weight and Line Passing through Center [x']

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x' = (c_u*L^'*d_radial)/(W*f_s) --> (10*3.0001*1.5)/(8*2.8)

Evaluating ... ...

x' = 2.00899553571429

STEP 3: Convert Result to Output's Unit

2.00899553571429 Meter --> No Conversion Required

FINAL ANSWER

2.00899553571429 ≈ 2.008996 Meter <-- Distance between LOA and COR

(Calculation completed in 00.007 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Distance between Line of Action of Weight and Line Passing through Center

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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

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

LaTeX Go

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

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

Distance between Line of Action of Weight and Line Passing through Center calculator uses Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety) to calculate the Distance between LOA and COR, The Distance between Line of Action of Weight and Line Passing through Center formula is defined as the horizontal distance between the line of action of the resultant vertical load (often due to the weight of a structure or soil mass) and the geometric center of the foundation or the centroid of the soil mass. Distance between LOA and COR is denoted by x' symbol.

How to calculate Distance between Line of Action of Weight and Line Passing through Center using this online calculator? To use this online calculator for Distance between Line of Action of Weight and Line Passing through Center, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Factor of Safety (f_s) and hit the calculate button. Here is how the Distance between Line of Action of Weight and Line Passing through Center calculation can be explained with given input values -> 1.245536 = (10*3.0001*1.5)/(8*2.8).

FAQ

What is Distance between Line of Action of Weight and Line Passing through Center?

The Distance between Line of Action of Weight and Line Passing through Center formula is defined as the horizontal distance between the line of action of the resultant vertical load (often due to the weight of a structure or soil mass) and the geometric center of the foundation or the centroid of the soil mass and is represented as x' = (c_u*L^'*d_radial)/(W*f_s) or Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety). Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles, 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 & 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.

How to calculate Distance between Line of Action of Weight and Line Passing through Center?

The Distance between Line of Action of Weight and Line Passing through Center formula is defined as the horizontal distance between the line of action of the resultant vertical load (often due to the weight of a structure or soil mass) and the geometric center of the foundation or the centroid of the soil mass is calculated using Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety). To calculate Distance between Line of Action of Weight and Line Passing through Center, you need Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Factor of Safety (f_s). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc, Radial Distance, Weight of Body in Newtons & Factor of Safety 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 Unit Cohesion, Length of Slip Arc, Radial Distance, Weight of Body in Newtons & Factor of Safety. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance between LOA and COR = Driving Moment/Weight of Body in Newtons
Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

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