Factor of Safety given Ultimate Stress and Working Stress Calculator

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Maximum Shear Stress and Principal Stress Theory

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✖The fracture stress is the ultimate stress which the material can bear.ⓘ Fracture Stress [f_s]			+10% -10%
✖Working Stress is the stress applied to the material.ⓘ Working Stress [W_s]			+10% -10%

✖The Factor of Safety is ratio of ultimate state to allowable state.ⓘ Factor of Safety given Ultimate Stress and Working Stress [F_s]

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Formula

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Factor of Safety given Ultimate Stress and Working Stress

Formula

`"F"_{"s"} = "f"_{"s"}/"W"_{"s"}`

Example

`"2.105263"="40Pa"/"19Pa"`

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Factor of Safety given Ultimate Stress and Working Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Fracture Stress/Working Stress
F_s = f_s/W_s
This formula uses 3 Variables

Variables Used

Factor of Safety - The Factor of Safety is ratio of ultimate state to allowable state.
Fracture Stress - (Measured in Pascal) - The fracture stress is the ultimate stress which the material can bear.
Working Stress - (Measured in Pascal) - Working Stress is the stress applied to the material.

STEP 1: Convert Input(s) to Base Unit

Fracture Stress: 40 Pascal --> 40 Pascal No Conversion Required
Working Stress: 19 Pascal --> 19 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = f_s/W_s --> 40/19

Evaluating ... ...

F_s = 2.10526315789474

STEP 3: Convert Result to Output's Unit

2.10526315789474 --> No Conversion Required

FINAL ANSWER

2.10526315789474 ≈ 2.105263 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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< 17 Maximum Shear Stress and Principal Stress Theory Calculators

Factor of Safety for Tri-axial State of Stress

Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

Diameter of Shaft given Permissible Value of Maximum Principle Stress

Go Diameter of Shaft from MPST = (16/(pi*Maximum Principle Stress in Shaft)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2)))^(1/3)

Permissible Value of Maximum Principle Stress

Go Maximum Principle Stress in Shaft = 16/(pi*Diameter of Shaft from MPST^3)*(Bending Moment in Shaft+sqrt(Bending Moment in Shaft^2+Torsional Moment in Shaft^2))

Diameter of Shaft given Principle Shear Stress Maximum Shear Stress Theory

Go Diameter of Shaft from MSST = (16/(pi*Maximum Shear Stress in Shaft from MSST)*sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2))^(1/3)

Bending Moment given Maximum Shear Stress

Go Bending Moment in Shaft for MSST = sqrt((Maximum Shear Stress in Shaft from MSST/(16/(pi*Diameter of Shaft from MSST^3)))^2-Torsional Moment in Shaft for MSST^2)

Torsional Moment given Maximum Shear Stress

Go Torsional Moment in Shaft for MSST = sqrt((pi*Diameter of Shaft from MSST^3*Maximum Shear Stress in Shaft from MSST/16)^2-Bending Moment in Shaft for MSST^2)

Maximum Shear Stress in Shafts

Go Maximum Shear Stress in Shaft from MSST = 16/(pi*Diameter of Shaft from MSST^3)*sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2)

Factor of Safety for Bi-Axial State of Stress

Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))

Torsional Moment given Equivalent Bending Moment

Go Torsional Moment in Shaft for MSST = sqrt((Equivalent Bending Moment from MSST-Bending Moment in Shaft for MSST)^2-Bending Moment in Shaft for MSST^2)

Equivalent Bending Moment given Torsional Moment

Go Equivalent Bending Moment from MSST = Bending Moment in Shaft for MSST+sqrt(Bending Moment in Shaft for MSST^2+Torsional Moment in Shaft for MSST^2)

Factor of Safety given Permissible Value of Maximum Shear Stress

Go Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST

Yield Strength in Shear Maximum Shear Stress Theory

Go Shear Yield Strength in Shaft from MSST = 0.5*Factor of Safety of Shaft*Maximum Principle Stress in Shaft

Permissible Value of Maximum Shear Stress

Go Maximum Shear Stress in Shaft from MSST = 0.5*Yield Strength in Shaft from MSST/Factor of Safety of Shaft

Yield Stress in Shear given Permissible Value of Maximum Principle Stress

Go Yield Strength in Shaft from MPST = Maximum Principle Stress in Shaft*Factor of Safety of Shaft

Permissible Value of Maximum Principle Stress using Factor of Safety

Go Maximum Principle Stress in Shaft = Yield Strength in Shaft from MPST/Factor of Safety of Shaft

Factor of Safety given Permissible Value of Maximum Principle Stress

Go Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft

Factor of Safety given Ultimate Stress and Working Stress

Go Factor of Safety = Fracture Stress/Working Stress

Factor of Safety given Ultimate Stress and Working Stress Formula

Factor of Safety = Fracture Stress/Working Stress
F_s = f_s/W_s

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; is a measure of the reliability of a particular design. This is a calculated value and is sometimes referred to, for the sake of clarity, as a realized factor of safety.

How to Calculate Factor of Safety given Ultimate Stress and Working Stress?

Factor of Safety given Ultimate Stress and Working Stress calculator uses Factor of Safety = Fracture Stress/Working Stress to calculate the Factor of Safety, Factor of Safety given Ultimate Stress and Working Stress is the ratio of ultimate stress to working stress. Factor of Safety is denoted by F_s symbol.

How to calculate Factor of Safety given Ultimate Stress and Working Stress using this online calculator? To use this online calculator for Factor of Safety given Ultimate Stress and Working Stress, enter Fracture Stress (f_s) & Working Stress (W_s) and hit the calculate button. Here is how the Factor of Safety given Ultimate Stress and Working Stress calculation can be explained with given input values -> 2.105263 = 40/19.

FAQ

What is Factor of Safety given Ultimate Stress and Working Stress?

Factor of Safety given Ultimate Stress and Working Stress is the ratio of ultimate stress to working stress and is represented as F_s = f_s/W_s or Factor of Safety = Fracture Stress/Working Stress. The fracture stress is the ultimate stress which the material can bear & Working Stress is the stress applied to the material.

How to calculate Factor of Safety given Ultimate Stress and Working Stress?

Factor of Safety given Ultimate Stress and Working Stress is the ratio of ultimate stress to working stress is calculated using Factor of Safety = Fracture Stress/Working Stress. To calculate Factor of Safety given Ultimate Stress and Working Stress, you need Fracture Stress (f_s) & Working Stress (W_s). With our tool, you need to enter the respective value for Fracture Stress & Working Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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