Factor of Safety given Permissible Value of Maximum Principle Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft
fs = Fce/σ1
This formula uses 3 Variables
Variables Used
Factor of Safety of Shaft - Factor of Safety of Shaft expresses how much stronger a shaft is than it needs to be for an intended load.
Yield Strength in Shaft from MPST - (Measured in Pascal) - Yield Strength in Shaft from MPST is the yield stress of the considered shaft from Maximum Principal Stress Theory.
Maximum Principle Stress in Shaft - (Measured in Pascal) - Maximum Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.
STEP 1: Convert Input(s) to Base Unit
Yield Strength in Shaft from MPST: 255 Newton per Square Millimeter --> 255000000 Pascal (Check conversion here)
Maximum Principle Stress in Shaft: 135.3 Newton per Square Millimeter --> 135300000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = Fce1 --> 255000000/135300000
Evaluating ... ...
fs = 1.88470066518847
STEP 3: Convert Result to Output's Unit
1.88470066518847 --> No Conversion Required
FINAL ANSWER
1.88470066518847 1.884701 <-- Factor of Safety of Shaft
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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14 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))
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)
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 Permissible Value of Maximum Principle Stress Formula

Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft
fs = Fce/σ1

Define Factor of Safety

Factor of Safety is defined as the ratio of the ultimate strength of a member or piece of material (as in an airplane) to the actual working stress or the maximum permissible stress when in use

How to Calculate Factor of Safety given Permissible Value of Maximum Principle Stress?

Factor of Safety given Permissible Value of Maximum Principle Stress calculator uses Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft to calculate the Factor of Safety of Shaft, The Factor of Safety given Permissible Value of Maximum Principle Stress formula is defined as the ratio of the ultimate strength of a member or piece of material. Factor of Safety of Shaft is denoted by fs symbol.

How to calculate Factor of Safety given Permissible Value of Maximum Principle Stress using this online calculator? To use this online calculator for Factor of Safety given Permissible Value of Maximum Principle Stress, enter Yield Strength in Shaft from MPST (Fce) & Maximum Principle Stress in Shaft 1) and hit the calculate button. Here is how the Factor of Safety given Permissible Value of Maximum Principle Stress calculation can be explained with given input values -> 1.884701 = 255000000/135300000.

FAQ

What is Factor of Safety given Permissible Value of Maximum Principle Stress?
The Factor of Safety given Permissible Value of Maximum Principle Stress formula is defined as the ratio of the ultimate strength of a member or piece of material and is represented as fs = Fce1 or Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft. Yield Strength in Shaft from MPST is the yield stress of the considered shaft from Maximum Principal Stress Theory & Maximum Principle Stress in Shaft is defined as the normal stress calculated in the shaft at an angle when shear stress is considered zero.
How to calculate Factor of Safety given Permissible Value of Maximum Principle Stress?
The Factor of Safety given Permissible Value of Maximum Principle Stress formula is defined as the ratio of the ultimate strength of a member or piece of material is calculated using Factor of Safety of Shaft = Yield Strength in Shaft from MPST/Maximum Principle Stress in Shaft. To calculate Factor of Safety given Permissible Value of Maximum Principle Stress, you need Yield Strength in Shaft from MPST (Fce) & Maximum Principle Stress in Shaft 1). With our tool, you need to enter the respective value for Yield Strength in Shaft from MPST & Maximum Principle Stress in Shaft 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 of Shaft?
In this formula, Factor of Safety of Shaft uses Yield Strength in Shaft from MPST & Maximum Principle Stress in Shaft. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Factor of Safety of Shaft = 0.5*Yield Strength in Shaft from MSST/Maximum Shear Stress in Shaft from MSST
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