Factor of Safety for Bi-Axial State of Stress Calculator

✖Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.ⓘ Tensile Yield Strength [σ_yt]			+10% -10%
✖A Normal Stress 1 is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress 1 [σ₁]			+10% -10%
✖A Normal Stress 2 is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress 2 [σ₂]			+10% -10%

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety for Bi-Axial State of Stress [f_s]

⎘ Copy

👎

Formula

✖

Factor of Safety for Bi-Axial State of Stress

Formula

f s = \frac{σ yt}{\sqrt{{σ 1}^{2} + {σ 2}^{2} - σ 1 \cdot σ 2}}

Example

3.000001 = \frac{154.2899 N/mm²}{\sqrt{{87.5}^{2} + {51.43 N/mm²}^{2} - 87.5 \cdot 51.43 N/mm²}}

Calculator

LaTeX

Reset

👍

Download Design of Bushed Pin Flexible Coupling Formula PDF PDF Image

Factor of Safety for Bi-Axial State of Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
f_s = σ_yt/(sqrt(σ₁^2+σ₂^2-σ₁*σ₂))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Tensile Yield Strength - (Measured in Pascal) - Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.
Normal Stress 1 - A Normal Stress 1 is a stress that occurs when a member is loaded by an axial force.
Normal Stress 2 - (Measured in Pascal) - A Normal Stress 2 is a stress that occurs when a member is loaded by an axial force.

STEP 1: Convert Input(s) to Base Unit

Tensile Yield Strength: 154.2899 Newton per Square Millimeter --> 154289900 Pascal (Check conversion here)
Normal Stress 1: 87.5 --> No Conversion Required
Normal Stress 2: 51.43 Newton per Square Millimeter --> 51430000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = σ_yt/(sqrt(σ₁^2+σ₂^2-σ₁*σ₂)) --> 154289900/(sqrt(87.5^2+51430000^2-87.5*51430000))

Evaluating ... ...

f_s = 3.00000060761927

STEP 3: Convert Result to Output's Unit

3.00000060761927 --> No Conversion Required

FINAL ANSWER

3.00000060761927 ≈ 3.000001 <-- Factor of Safety

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Design of Bushed Pin Flexible Coupling » Mechanical » Design Parameters » Factor of Safety for Bi-Axial State of Stress

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Design Parameters Calculators

Effective Length of Bush in Contact with Input Flange of Bushed Pin Coupling

Go Effective Length of Bush of Coupling = Force on Each Rubber Bush or Pin of Coupling/(Outer Diameter of Bush For Coupling*Intensity of Pressure Between Flange of Coupling)

Thickness of Protective Rim of Coupling

Go Thickness of Protecting Rim For Coupling = 0.25*Diameter of Driving Shaft For Coupling

Thickness of Output Flange of Coupling

Go Thickness of Output Flange of Coupling = 0.5*Diameter of Driving Shaft For Coupling

Length of Hub of Bushed Pin Coupling given Diameter of Driving Shaft

Go Length of Hub For Coupling = 1.5*Diameter of Driving Shaft For Coupling

< Maximum Shear Stress and Principal Stress Theory Calculators

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))

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 for Bi-Axial State of Stress Formula

Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
f_s = σ_yt/(sqrt(σ₁^2+σ₂^2-σ₁*σ₂))

Define factor of safety?

The factor of safety (FoS) is the ability of a system's structural capacity to be viable beyond its expected or actual loads. An FoS may be expressed as a ratio that compares absolute strength to the actual applied load, or it may be expressed as a constant value that a structure must meet or exceed according to law, specification, contract, or standard.

How to Calculate Factor of Safety for Bi-Axial State of Stress?

Factor of Safety for Bi-Axial State of Stress calculator uses Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2)) to calculate the Factor of Safety, The Factor of Safety for bi-axial State of Stress is the ability of a system's structural capacity to be viable beyond its expected or actual loads in biaxial condition. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety for Bi-Axial State of Stress using this online calculator? To use this online calculator for Factor of Safety for Bi-Axial State of Stress, enter Tensile Yield Strength (σ_yt), Normal Stress 1 (σ₁) & Normal Stress 2 (σ₂) and hit the calculate button. Here is how the Factor of Safety for Bi-Axial State of Stress calculation can be explained with given input values -> 3.000001 = 154289900/(sqrt(87.5^2+51430000^2-87.5*51430000)).

FAQ

What is Factor of Safety for Bi-Axial State of Stress?

The Factor of Safety for bi-axial State of Stress is the ability of a system's structural capacity to be viable beyond its expected or actual loads in biaxial condition and is represented as f_s = σ_yt/(sqrt(σ₁^2+σ₂^2-σ₁*σ₂)) or Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2)). Tensile Yield Strength is the stress a material can withstand without permanent deformation or a point at which it will no longer return to its original dimensions, A Normal Stress 1 is a stress that occurs when a member is loaded by an axial force & A Normal Stress 2 is a stress that occurs when a member is loaded by an axial force.

How to calculate Factor of Safety for Bi-Axial State of Stress?

The Factor of Safety for bi-axial State of Stress is the ability of a system's structural capacity to be viable beyond its expected or actual loads in biaxial condition is calculated using Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2)). To calculate Factor of Safety for Bi-Axial State of Stress, you need Tensile Yield Strength (σ_yt), Normal Stress 1 (σ₁) & Normal Stress 2 (σ₂). With our tool, you need to enter the respective value for Tensile Yield Strength, Normal Stress 1 & Normal Stress 2 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 Tensile Yield Strength, Normal Stress 1 & Normal Stress 2. 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(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))

Home

FREE PDFs

🔍 Search