✖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 [M_R]			+10% -10%
✖Driving Moment is the moment (or torque) that drives or causes rotational movement in a soil mass or structural element, such as a retaining wall or pile foundation.ⓘ Driving Moment [M_D]			+10% -10%

✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety given Moment of Resistance [f_s]

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Formula

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Factor of Safety given Moment of Resistance

Formula

`"f"_{"s"} = "M"_{"R"}/"M"_{"D"}`

Example

`"4.505"="45.05kN*m"/"10.0kN*m"`

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Factor of Safety given Moment of Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Resisting Moment/Driving Moment
f_s = M_R/M_D
This formula uses 3 Variables

Variables Used

Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.
Resisting Moment - (Measured in Newton 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.
Driving Moment - (Measured in Newton Meter) - Driving Moment is the moment (or torque) that drives or causes rotational movement in a soil mass or structural element, such as a retaining wall or pile foundation.

STEP 1: Convert Input(s) to Base Unit

Resisting Moment: 45.05 Kilonewton Meter --> 45050 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

f_s = M_R/M_D --> 45050/10000

Evaluating ... ...

f_s = 4.505

STEP 3: Convert Result to Output's Unit

4.505 --> No Conversion Required

FINAL ANSWER

4.505 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » The Swedish Slip Circle Method » Factor of Safety given Moment of Resistance

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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 in Soil Mechanics)-(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 in Soil Mechanics = ((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 of Soil))))/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 of Soil))

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 of Soil))))

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 between LOA and COR))

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

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

Normal Component given Resisting Force from Coulomb's Equation

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

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

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

Go Distance between LOA and COR = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Radial Distance)/Length of Slip Arc)

Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

Go Radial Distance = Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Mobilized Shear Resistance of Soil given Weight of Soil on Wedge

Go Mobilized Shear Resistance of Soil = (Weight of Body in Newtons*Distance between LOA and COR*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 in Soil Mechanics = 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 in Soil Mechanics

Moment of Resistance given Factor of Safety

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

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

Go Distance between LOA and COR = Driving Moment/Weight of Body in Newtons

Driving Moment given Weight of Soil on Wedge

Go Driving Moment = Weight of Body in Newtons*Distance between LOA and COR

Mobilized Shear Resistance of Soil given Factor of Safety

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

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
f_s = M_R/M_D

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 formula 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 f_s 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 (M_R) & Driving Moment (M_D) 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 = 45050/10000.

FAQ

What is Factor of Safety given Moment of Resistance?

The Factor of Safety given Moment of Resistance formula 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 f_s = M_R/M_D or Factor of Safety = Resisting Moment/Driving Moment. 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 & Driving Moment is the moment (or torque) that drives or causes rotational movement in a soil mass or structural element, such as a retaining wall or pile foundation.

How to calculate Factor of Safety given Moment of Resistance?

The Factor of Safety given Moment of Resistance formula 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 (M_R) & Driving Moment (M_D). 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 with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)
Factor of Safety = Unit Cohesion/Mobilized 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 in Soil Mechanics

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