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 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%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+10% -10%
✖Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%

✖Resisting Moment is the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.ⓘ Resisting Moment given Radius of Slip Circle [M_R]

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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 of Soil))))
M_R = r*((c_u*L^')+(ΣN*tan((Φ_i))))
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 the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.
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 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.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

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: 5.01 Newton --> 5.01 Newton No Conversion Required
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_R = r*((c_u*L^')+(ΣN*tan((Φ_i)))) --> 0.6*((10*3.0001)+(5.01*tan((1.44635435112743))))

Evaluating ... ...

M_R = 42.0316165766801

STEP 3: Convert Result to Output's Unit

42031.6165766801 Newton Meter -->42.0316165766801 Kilonewton Meter (Check conversion here)

FINAL ANSWER

42.0316165766801 ≈ 42.03162 Kilonewton Meter <-- Resisting Moment

(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

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

Resisting Moment given Radius of Slip Circle Formula

LaTeX Go

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

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 of Soil)))) to calculate the Resisting Moment, The Resisting Moment given Radius of Slip Circle formula 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 of Soil (Φ_i) and hit the calculate button. Here is how the Resisting Moment given Radius of Slip Circle calculation can be explained with given input values -> 0.042032 = 0.6*((10*3.0001)+(5.01*tan((1.44635435112743)))).

FAQ

What is Resisting Moment given Radius of Slip Circle?

The Resisting Moment given Radius of Slip Circle formula 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_i)))) or Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil)))). Radius of Slip Circle is the distance between center and one point on slip circle, 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, Sum of all Normal Component means total normal force on slip circle & Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

How to calculate Resisting Moment given Radius of Slip Circle?

The Resisting Moment given Radius of Slip Circle formula 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 of Soil)))). 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 of Soil (Φ_i). 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 of Soil 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 of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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