Factor of safety for brittle materials Solution

STEP 0: Pre-Calculation Summary
Formula Used
Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load
fs = Sut/σal
This formula uses 3 Variables
Variables Used
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Ultimate Tensile Strength - (Measured in Pascal) - Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.
Allowable Stress for Static Load - (Measured in Pascal) - Allowable Stress for Static Load is also known as working load and is the ratio of tensile strength and factor of safety.
STEP 1: Convert Input(s) to Base Unit
Ultimate Tensile Strength: 122 Newton per Square Millimeter --> 122000000 Pascal (Check conversion ​here)
Allowable Stress for Static Load: 45 Newton per Square Millimeter --> 45000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fs = Sutal --> 122000000/45000000
Evaluating ... ...
fs = 2.71111111111111
STEP 3: Convert Result to Output's Unit
2.71111111111111 --> No Conversion Required
FINAL ANSWER
2.71111111111111 2.711111 <-- Factor of Safety
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Design for Brittle and Ductile Material under Static Load Calculators

Factor of safety for ductile materials
​ LaTeX ​ Go Factor of Safety = Tensile Yield Strength for Static Load/Allowable Stress for Static Load
Allowable stress for ductile material
​ LaTeX ​ Go Allowable Stress for Static Load = Tensile Yield Strength for Static Load/Factor of Safety
Yield strength for ductile materials
​ LaTeX ​ Go Tensile Yield Strength for Static Load = Allowable Stress for Static Load*Factor of Safety
Factor of safety for brittle materials
​ LaTeX ​ Go Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load

Factor of safety for brittle materials Formula

​LaTeX ​Go
Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load
fs = Sut/σal

What is factor of safety and why is it required?

There are always approximations in engineering calculations. Hence, the allowed stress is kept less than failure stress, and the ratio of failure stress to allowed stress is called factor of safety.

How to Calculate Factor of safety for brittle materials?

Factor of safety for brittle materials calculator uses Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load to calculate the Factor of Safety, The Factor of safety for brittle materials formula is defined as the ratio of ultimate tensile strength and allowable stress. It is the required margin of safety for a structure or component according to code, law, or design requirements. In this case, the failure stress is equal to tensile yield stress. Factor of Safety is denoted by fs symbol.

How to calculate Factor of safety for brittle materials using this online calculator? To use this online calculator for Factor of safety for brittle materials, enter Ultimate Tensile Strength (Sut) & Allowable Stress for Static Load al) and hit the calculate button. Here is how the Factor of safety for brittle materials calculation can be explained with given input values -> 2.711111 = 122000000/45000000.

FAQ

What is Factor of safety for brittle materials?
The Factor of safety for brittle materials formula is defined as the ratio of ultimate tensile strength and allowable stress. It is the required margin of safety for a structure or component according to code, law, or design requirements. In this case, the failure stress is equal to tensile yield stress and is represented as fs = Sutal or Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load. Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled & Allowable Stress for Static Load is also known as working load and is the ratio of tensile strength and factor of safety.
How to calculate Factor of safety for brittle materials?
The Factor of safety for brittle materials formula is defined as the ratio of ultimate tensile strength and allowable stress. It is the required margin of safety for a structure or component according to code, law, or design requirements. In this case, the failure stress is equal to tensile yield stress is calculated using Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load. To calculate Factor of safety for brittle materials, you need Ultimate Tensile Strength (Sut) & Allowable Stress for Static Load al). With our tool, you need to enter the respective value for Ultimate Tensile Strength & Allowable Stress for Static Load 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 Ultimate Tensile Strength & Allowable Stress for Static Load. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Factor of Safety = Tensile Yield Strength for Static Load/Allowable Stress for Static Load
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