Factor of Safety given Ultimate Stress and Working Stress Calculator

✖Fracture Stress is the maximum stress a material can withstand without breaking, typically calculated using the maximum shear stress and principal stress theory.ⓘ Fracture Stress [f_s]			+10% -10%
✖Working Stress is the maximum stress a material can withstand without failing, used in Principal Stress Theory to analyze material behavior under various loads.ⓘ Working Stress [W_s]			+10% -10%

✖Factor of Safety is the ratio of maximum shear stress a material can withstand to the maximum shear stress it is subjected to.ⓘ Factor of Safety given Ultimate Stress and Working Stress [fos]

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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
fos = f_s/W_s
This formula uses 3 Variables

Variables Used

Factor of Safety - Factor of Safety is the ratio of maximum shear stress a material can withstand to the maximum shear stress it is subjected to.
Fracture Stress - (Measured in Pascal) - Fracture Stress is the maximum stress a material can withstand without breaking, typically calculated using the maximum shear stress and principal stress theory.
Working Stress - (Measured in Pascal) - Working Stress is the maximum stress a material can withstand without failing, used in Principal Stress Theory to analyze material behavior under various loads.

STEP 1: Convert Input(s) to Base Unit

Fracture Stress: 57 Newton per Square Millimeter --> 57000000 Pascal (Check conversion here)
Working Stress: 19 Newton per Square Millimeter --> 19000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

fos = f_s/W_s --> 57000000/19000000

Evaluating ... ...

fos = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Factor of Safety

(Calculation completed in 00.020 seconds)

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< Maximum Shear Stress and Principal Stress Theory Calculators

Diameter of Shaft given Permissible Value of Maximum Principle Stress

LaTeX 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

LaTeX 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))

Permissible Value of Maximum Principle Stress using Factor of Safety

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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

What is Ultimate Stress?

Ultimate stress is the maximum stress a material can withstand before it fails or fractures. It represents the highest point on a material's stress-strain curve, indicating the maximum load the material can bear before breaking. Once the ultimate stress is reached, the material experiences significant deformation and eventually ruptures. Ultimate stress is a critical factor in material selection and design, ensuring that structures and components can handle expected loads without failing.

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 formula is defined as a measure of the ability of a material or structure to withstand loads or stresses without failing, providing a margin of safety against failure or collapse. Factor of Safety is denoted by fos 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 = 57000000/19000000.

FAQ

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

Factor of Safety given Ultimate Stress and Working Stress formula is defined as a measure of the ability of a material or structure to withstand loads or stresses without failing, providing a margin of safety against failure or collapse and is represented as fos = f_s/W_s or Factor of Safety = Fracture Stress/Working Stress. Fracture Stress is the maximum stress a material can withstand without breaking, typically calculated using the maximum shear stress and principal stress theory & Working Stress is the maximum stress a material can withstand without failing, used in Principal Stress Theory to analyze material behavior under various loads.

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

Factor of Safety given Ultimate Stress and Working Stress formula is defined as a measure of the ability of a material or structure to withstand loads or stresses without failing, providing a margin of safety against failure or collapse 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.

How many ways are there to calculate Factor of Safety?

In this formula, Factor of Safety uses Fracture Stress & Working Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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