Factor of Safety Formula:
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The Factor of Safety (FOS) is a design criterion that represents how much stronger a system is than it needs to be for an intended load. It's the ratio of the ultimate strength of a material to the working stress.
The calculator uses the Factor of Safety formula:
Where:
Explanation: The equation calculates how many times stronger the material is compared to what's required for normal operation.
Details: Proper FOS ensures structural integrity, accounts for material variability, unexpected loads, and potential degradation over time. Different industries have standard FOS requirements.
Tips: Enter both ultimate strength and working stress in Pascals (Pa). Both values must be positive numbers.
Q1: What is a good Factor of Safety value?
A: Typical values range from 1.2 to 4.0 depending on the application. Critical components often use higher values.
Q2: Can FOS be less than 1?
A: Yes, but this indicates failure is expected under working conditions. Some temporary structures may use FOS < 1 with special considerations.
Q3: How does FOS differ from safety margin?
A: Safety margin is usually expressed as (FOS - 1) × 100%. FOS of 2 equals 100% safety margin.
Q4: Why use different FOS for different materials?
A: Materials have different variability in properties. Brittle materials typically require higher FOS than ductile ones.
Q5: How does FOS affect design?
A: Higher FOS means more material is required, increasing cost and weight. Engineers balance safety with efficiency.