Resisting Moment given Radius of Slip Circle Calculator

✖Radius of Slip Circle is the distance between center and one point on slip circle.ⓘ Radius of Slip Circle [r]			+10% -10%
✖Unit Cohesion is the force that holds together molecules or like particles within a soil.ⓘ 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%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Resisting Moment is a moment produced by internal tensile and compressive forces.ⓘ Resisting Moment given Radius of Slip Circle [M_R]

⎘ Copy

👎

Formula

✖

Resisting Moment given Radius of Slip Circle

Formula

`"M"_{"R"} = "r"*(("c"_{"u"}*"L"^{"'"})+("ΣN"*tan(("φ"))))`

Example

`"21.10719kN*m"="0.6m"*(("10Pa"*"3.0001m")+("5N"*tan(("46°"))))`

Calculator

LaTeX

Reset

👍

Download Geotechnical Engineering Formula PDF PDF Image

Resisting Moment given Radius of Slip Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))
M_R = r*((c_u*L^')+(ΣN*tan((φ))))
This formula uses 1 Functions, 6 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Resisting Moment - (Measured in Kilonewton Meter) - Resisting Moment is a moment produced by internal tensile and compressive forces.
Radius of Slip Circle - (Measured in Meter) - Radius of Slip Circle is the distance between center and one point on slip circle.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the force that holds together molecules or like particles within a soil.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Radius of Slip Circle: 0.6 Meter --> 0.6 Meter No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required
Sum of all Normal Component: 5 Newton --> 5 Newton No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_R = r*((c_u*L^')+(ΣN*tan((φ)))) --> 0.6*((10*3.0001)+(5*tan((0.802851455917241))))

Evaluating ... ...

M_R = 21.1071909413708

STEP 3: Convert Result to Output's Unit

21107.1909413708 Newton Meter -->21.1071909413708 Kilonewton Meter (Check conversion here)

FINAL ANSWER

21.1071909413708 ≈ 21.10719 Kilonewton Meter <-- Resisting Moment

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Resisting Moment given Radius of Slip Circle

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 25 The Swedish Slip Circle Method Calculators

Sum of Normal Component given Factor of Safety

Go Sum of All Normal Component in Soil Mechanics = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction of Soil*pi)/180)

Length of Slip Circle given Sum of Tangential Component

Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion

Sum of Tangential Component given Factor of Safety

Go Sum of all Tangential Component = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Factor of Safety

Total Length of Slip Circle given Resisting Moment

Go Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction))))/Unit Cohesion

Sum of Normal Component given Resisting Moment

Go Sum of all Normal Component = ((Resisting Moment/Radius of Slip Circle)-(Unit Cohesion*Length of Slip Arc))/tan((Angle of Internal Friction))

Resisting Moment given Radius of Slip Circle

Go Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))

Normal Component given Resisting Force from Coulomb's Equation

Go Normal Component of Force in Soil Mechanics = (Resisting force in Soil Mechanics-(Unit Cohesion*Curve Length))/tan((Angle of Internal Friction of Soil))

Resisting Force from Coulomb's Equation

Go Resisting Force = ((Unit Cohesion*Curve Length)+(Normal Component of Force*tan((Angle of Internal Friction))))

Curve Length of Each Slice given Resisting Force from Coulomb's Equation

Go Curve Length = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Unit Cohesion

Radial Distance from Centre of Rotation given Factor of Safety

Go Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance))

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

Go Distance = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety)

Distance between Line of Action and Line Passing through Center given Mobilised Cohesion

Go Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilised Shear resistance of Soil

Go Radial Distance = Mobilised Shear Resistance of Soil/((Weight of Body in Newtons*Distance)/Length of Slip Arc)

Mobilised Shear resistance of Soil given Weight of Soil on Wedge

Go Mobilised Shear Resistance of Soil = (Weight of Body in Newtons*Distance*Radial Distance)/Length of Slip Arc

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)

Radial Distance from Centre of Rotation given Moment of Resistance

Go Radial Distance = Resisting Moment/(Unit Cohesion*Length of Slip Arc)

Moment of Resistance given Unit Cohesion

Go Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)

Sum of Tangential Component given Driving Moment

Go Sum of all Tangential Component = Driving Moment/Radius of Slip Circle

Driving Moment given Radius of Slip Circle

Go Driving Moment = Radius of Slip Circle*Sum of all Tangential Component

Mobilised Shear resistance of Soil given Factor of Safety

Go Mobilised Shear Resistance of Soil = Unit Cohesion/Factor of Safety

Distance between Line of Action and Line Passing through Center given Driving Moment

Go Distance = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance

Moment of Resistance given Factor of Safety

Go Resisting Moment = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Resisting Moment given Radius of Slip Circle Formula

Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))
M_R = r*((c_u*L^')+(ΣN*tan((φ))))

What is Moment Resisting Frame?

Moment-resisting frame is a rectilinear assemblage of beams and columns, with the beams rigidly connected to the columns. Resistance to lateral forces is provided primarily by rigid frame action – that is, by the development of bending moment and shear force in the frame members and joints.

How to Calculate Resisting Moment given Radius of Slip Circle?

Resisting Moment given Radius of Slip Circle calculator uses Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction)))) to calculate the Resisting Moment, The Resisting Moment given Radius of Slip Circle is defined as the product of the radius of the slip circle and the resisting shear strength. Resisting Moment is denoted by M_R symbol.

How to calculate Resisting Moment given Radius of Slip Circle using this online calculator? To use this online calculator for Resisting Moment given Radius of Slip Circle, enter Radius of Slip Circle (r), Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Resisting Moment given Radius of Slip Circle calculation can be explained with given input values -> 0.070392 = 0.6*((10*3.0001)+(5*tan((0.802851455917241)))).

FAQ

What is Resisting Moment given Radius of Slip Circle?

The Resisting Moment given Radius of Slip Circle is defined as the product of the radius of the slip circle and the resisting shear strength and is represented as M_R = r*((c_u*L^')+(ΣN*tan((φ)))) or Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction)))). Radius of Slip Circle is the distance between center and one point on slip circle, Unit Cohesion is the force that holds together molecules or like particles within a soil, Length of Slip Arc is the length of the arc formed by slip circle, Sum of all Normal Component means total normal force on slip circle & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Resisting Moment given Radius of Slip Circle?

The Resisting Moment given Radius of Slip Circle is defined as the product of the radius of the slip circle and the resisting shear strength is calculated using Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction)))). To calculate Resisting Moment given Radius of Slip Circle, you need Radius of Slip Circle (r), Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Radius of Slip Circle, Unit Cohesion, Length of Slip Arc, Sum of all Normal Component & Angle of Internal Friction 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 Resisting Moment?

In this formula, Resisting Moment uses Radius of Slip Circle, Unit Cohesion, Length of Slip Arc, Sum of all Normal Component & Angle of Internal Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

Resisting Moment = Factor of Safety*Driving Moment
Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)

Home

FREE PDFs

🔍 Search