Factor of Safety given Moment of Resistance Calculator

✖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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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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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

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

Factor of Safety given Moment of Resistance Formula

LaTeX Go

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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