Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety = Ultimate Stress/Permissible Stress
F.O.S = U/P
This formula uses 3 Variables
Variables Used
Factor of Safety - The Factor of Safety is Ratio of ultimate state to allowable state.
Ultimate Stress - (Measured in Pascal) - Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force.
Permissible Stress - (Measured in Pascal) - Permissible Stress is the allowable stress in a design.
STEP 1: Convert Input(s) to Base Unit
Ultimate Stress: 49 Megapascal --> 49000000 Pascal (Check conversion ​here)
Permissible Stress: 12 Megapascal --> 12000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F.O.S = U/P --> 49000000/12000000
Evaluating ... ...
F.O.S = 4.08333333333333
STEP 3: Convert Result to Output's Unit
4.08333333333333 --> No Conversion Required
FINAL ANSWER
4.08333333333333 4.083333 <-- Factor of Safety
(Calculation completed in 00.004 seconds)

Credits

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Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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Factor of Safety Formula

​LaTeX ​Go
Factor of Safety = Ultimate Stress/Permissible Stress
F.O.S = U/P

What is Factor of Safety?

The ratio of ultimate stress to permissible stress is called a factor of safety. the maximum stress to which any member is designed is much less than the ultimate stress, and this stress is called permissible stress

How to Calculate Factor of Safety?

Factor of Safety calculator uses Factor of Safety = Ultimate Stress/Permissible Stress to calculate the Factor of Safety, Factor of safety expresses how much stronger a system is than it needs to be for an intended load. Factor of Safety is denoted by F.O.S symbol.

How to calculate Factor of Safety using this online calculator? To use this online calculator for Factor of Safety, enter Ultimate Stress (U) & Permissible Stress (P) and hit the calculate button. Here is how the Factor of Safety calculation can be explained with given input values -> 4.083333 = 49000000/12000000.

FAQ

What is Factor of Safety?
Factor of safety expresses how much stronger a system is than it needs to be for an intended load and is represented as F.O.S = U/P or Factor of Safety = Ultimate Stress/Permissible Stress. Ultimate Stress refers to the maximum stress that a given material can withstand under an applied force & Permissible Stress is the allowable stress in a design.
How to calculate Factor of Safety?
Factor of safety expresses how much stronger a system is than it needs to be for an intended load is calculated using Factor of Safety = Ultimate Stress/Permissible Stress. To calculate Factor of Safety, you need Ultimate Stress (U) & Permissible Stress (P). With our tool, you need to enter the respective value for Ultimate Stress & Permissible 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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