Moment of Resistance given Unit Cohesion 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%

✖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.ⓘ Moment of Resistance given Unit Cohesion [M_R]

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Formula

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Moment of Resistance given Unit Cohesion

Formula

M R = (c u \cdot L' \cdot d radial)

Example

45.0015 kN*m = (10 Pa \cdot 3.0001 m \cdot 1.5 m)

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Moment of Resistance given Unit Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)
M_R = (c_u*L^'*d_radial)
This formula uses 4 Variables

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_R = (c_u*L^'*d_radial) --> (10*3.0001*1.5)

Evaluating ... ...

M_R = 45.0015

STEP 3: Convert Result to Output's Unit

45001.5 Newton Meter -->45.0015 Kilonewton Meter (Check conversion here)

FINAL ANSWER

45.0015 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

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)

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Moment of Resistance given Unit Cohesion Formula

Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)
M_R = (c_u*L^'*d_radial)

What is Moment of Resistance?

The couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

How to Calculate Moment of Resistance given Unit Cohesion?

Moment of Resistance given Unit Cohesion calculator uses Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance) to calculate the Resisting Moment, The Moment of Resistance given Unit Cohesion formula is defined as the capacity of a soil or a structural element to resist bending moments, considering the cohesive strength of the soil. Resisting Moment is denoted by M_R symbol.

How to calculate Moment of Resistance given Unit Cohesion using this online calculator? To use this online calculator for Moment of Resistance given Unit Cohesion, enter Unit Cohesion (c_u), Length of Slip Arc (L^') & Radial Distance (d_radial) and hit the calculate button. Here is how the Moment of Resistance given Unit Cohesion calculation can be explained with given input values -> 0.045002 = (10*3.0001*1.5).

FAQ

What is Moment of Resistance given Unit Cohesion?

The Moment of Resistance given Unit Cohesion formula is defined as the capacity of a soil or a structural element to resist bending moments, considering the cohesive strength of the soil and is represented as M_R = (c_u*L^'*d_radial) or Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance). 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.

How to calculate Moment of Resistance given Unit Cohesion?

The Moment of Resistance given Unit Cohesion formula is defined as the capacity of a soil or a structural element to resist bending moments, considering the cohesive strength of the soil is calculated using Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance). To calculate Moment of Resistance given Unit Cohesion, you need Unit Cohesion (c_u), Length of Slip Arc (L^') & Radial Distance (d_radial). With our tool, you need to enter the respective value for Unit Cohesion, Length of Slip Arc & Radial Distance 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 Unit Cohesion, Length of Slip Arc & Radial Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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