Factor of Safety given Moment of Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety = Resisting Moment/Driving Moment
fs = MR/MD
This formula uses 3 Variables
Variables Used
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Resisting Moment - (Measured in Newton Meter) - Resisting Moment is a moment produced by internal tensile and compressive forces.
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
Resisting Moment: 20 Kilonewton Meter --> 20000 Newton Meter (Check conversion here)
Driving Moment: 10 Kilonewton Meter --> 10000 Newton Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = MR/MD --> 20000/10000
Evaluating ... ...
fs = 2
STEP 3: Convert Result to Output's Unit
2 --> No Conversion Required
FINAL ANSWER
2 <-- Factor of Safety
(Calculation completed in 00.004 seconds)

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

Factor of Safety given Moment of Resistance Formula

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

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 Factor of Safety given Moment of Resistance?

Factor of Safety given Moment of Resistance calculator uses Factor of Safety = Resisting Moment/Driving Moment to calculate the Factor of Safety, The Factor of Safety given Moment of Resistance is defined as ratio of material's ultimate strength to applied stress; ensures safety by preventing failure, considering uncertainties and variations. Factor of Safety is denoted by fs symbol.

How to calculate Factor of Safety given Moment of Resistance using this online calculator? To use this online calculator for Factor of Safety given Moment of Resistance, enter Resisting Moment (MR) & Driving Moment (MD) and hit the calculate button. Here is how the Factor of Safety given Moment of Resistance calculation can be explained with given input values -> 2 = 20000/10000.

FAQ

What is Factor of Safety given Moment of Resistance?
The Factor of Safety given Moment of Resistance is defined as ratio of material's ultimate strength to applied stress; ensures safety by preventing failure, considering uncertainties and variations and is represented as fs = MR/MD or Factor of Safety = Resisting Moment/Driving Moment. Resisting Moment is a moment produced by internal tensile and compressive forces & Driving Moment is the rotational effect of weight on the wedge.
How to calculate Factor of Safety given Moment of Resistance?
The Factor of Safety given Moment of Resistance is defined as ratio of material's ultimate strength to applied stress; ensures safety by preventing failure, considering uncertainties and variations is calculated using Factor of Safety = Resisting Moment/Driving Moment. To calculate Factor of Safety given Moment of Resistance, you need Resisting Moment (MR) & Driving Moment (MD). With our tool, you need to enter the respective value for Resisting Moment & 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 Factor of Safety?
In this formula, Factor of Safety uses Resisting Moment & Driving Moment. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Factor of Safety = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Distance)
  • Factor of Safety = Unit Cohesion/Mobilised Shear Resistance of Soil
  • Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!