Weight of Soil on Wedge given Factor of Safety 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%
✖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 LOA and COR [x']			+10% -10%

✖Weight of Body in Newtons is the force with which a body is pulled toward the earth.ⓘ Weight of Soil on Wedge given Factor of Safety [W]

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Weight of Soil on Wedge given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Radial Distance: 1.5 Meter --> 1.5 Meter No Conversion Required
Factor of Safety: 2.8 --> 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

W = (c_u*L^'*d_radial)/(f_s*x') --> (10*3.0001*1.5)/(2.8*1.25)

Evaluating ... ...

W = 12.8575714285714

STEP 3: Convert Result to Output's Unit

12.8575714285714 Newton --> No Conversion Required

FINAL ANSWER

12.8575714285714 ≈ 12.85757 Newton <-- Weight of Body in Newtons

(Calculation completed in 00.004 seconds)

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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

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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

Weight of Soil on Wedge given Factor of Safety Formula

LaTeX Go

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

Weight of Soil on Wedge given Factor of Safety calculator uses Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*Distance between LOA and COR) to calculate the Weight of Body in Newtons, The Weight of Soil on Wedge given Factor of Safety formula is defined as the measure of the value of the vertical component of the soil mass acting on a potential failure wedge within a slope. This component contributes to the driving force that tends to cause slope instability or failure. Weight of Body in Newtons is denoted by W symbol.

How to calculate Weight of Soil on Wedge given Factor of Safety using this online calculator? To use this online calculator for Weight of Soil on Wedge given Factor of Safety, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Factor of Safety (f_s) & Distance between LOA and COR (x') and hit the calculate button. Here is how the Weight of Soil on Wedge given Factor of Safety calculation can be explained with given input values -> 7.971429 = (10*3.0001*1.5)/(2.8*1.25).

FAQ

What is Weight of Soil on Wedge given Factor of Safety?

The Weight of Soil on Wedge given Factor of Safety formula is defined as the measure of the value of the vertical component of the soil mass acting on a potential failure wedge within a slope. This component contributes to the driving force that tends to cause slope instability or failure and is represented as W = (c_u*L^'*d_radial)/(f_s*x') or Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*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 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, 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 & 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 Weight of Soil on Wedge given Factor of Safety?

The Weight of Soil on Wedge given Factor of Safety formula is defined as the measure of the value of the vertical component of the soil mass acting on a potential failure wedge within a slope. This component contributes to the driving force that tends to cause slope instability or failure is calculated using Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*Distance between LOA and COR). To calculate Weight of Soil on Wedge given Factor of Safety, you need Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Factor of Safety (f_s) & Distance between LOA and COR (x'). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc, Radial Distance, Factor of Safety & 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 Weight of Body in Newtons?

In this formula, Weight of Body in Newtons uses Unit Cohesion, Length of Slip Arc, Radial Distance, Factor of Safety & Distance between LOA and COR. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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