Moment of Resistance given Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resisting Moment = Factor of Safety*Driving Moment
MR = fs*MD
This formula uses 3 Variables
Variables Used
Resisting Moment - (Measured in Newton Meter) - Resisting Moment is a moment produced by internal tensile and compressive forces.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Driving Moment - (Measured in Newton Meter) - Driving Moment is the rotational effect of weight on the wedge.
STEP 1: Convert Input(s) to Base Unit
Factor of Safety: 2.8 --> No Conversion Required
Driving Moment: 10 Kilonewton Meter --> 10000 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
MR = fs*MD --> 2.8*10000
Evaluating ... ...
MR = 28000
STEP 3: Convert Result to Output's Unit
28000 Newton Meter -->28 Kilonewton Meter (Check conversion here)
FINAL ANSWER
28 Kilonewton Meter <-- Resisting Moment
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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

Moment of Resistance given Factor of Safety Formula

Resisting Moment = Factor of Safety*Driving Moment
MR = fs*MD

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 Factor of Safety?

Moment of Resistance given Factor of Safety calculator uses Resisting Moment = Factor of Safety*Driving Moment to calculate the Resisting Moment, The Moment of Resistance given Factor of Safety is defined as the capacity of a structure to resist bending, factored by a safety margin for reliability. Resisting Moment is denoted by MR symbol.

How to calculate Moment of Resistance given Factor of Safety using this online calculator? To use this online calculator for Moment of Resistance given Factor of Safety, enter Factor of Safety (fs) & Driving Moment (MD) and hit the calculate button. Here is how the Moment of Resistance given Factor of Safety calculation can be explained with given input values -> 0.028 = 2.8*10000.

FAQ

What is Moment of Resistance given Factor of Safety?
The Moment of Resistance given Factor of Safety is defined as the capacity of a structure to resist bending, factored by a safety margin for reliability and is represented as MR = fs*MD or Resisting Moment = Factor of Safety*Driving Moment. Factor of Safety expresses how much stronger a system is than it needs to be for an intended load & Driving Moment is the rotational effect of weight on the wedge.
How to calculate Moment of Resistance given Factor of Safety?
The Moment of Resistance given Factor of Safety is defined as the capacity of a structure to resist bending, factored by a safety margin for reliability is calculated using Resisting Moment = Factor of Safety*Driving Moment. To calculate Moment of Resistance given Factor of Safety, you need Factor of Safety (fs) & Driving Moment (MD). With our tool, you need to enter the respective value for Factor of Safety & Driving Moment 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 Factor of Safety & Driving Moment. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Resisting Moment = (Unit Cohesion*Length of Slip Arc*Radial Distance)
  • Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction))))
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