Factor of safety for brittle materials Calculator

✖Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.ⓘ Ultimate Tensile Strength [S_ut]			+10% -10%
✖Allowable Stress for Static Load is also known as working load and is the ratio of tensile strength and factor of safety.ⓘ Allowable Stress for Static Load [σ_al]			+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 brittle materials [f_s]

⎘ Copy

👎

Formula

✖

Factor of safety for brittle materials

Formula

`"f"_{"s"} = "S"_{"ut"}/"σ"_{"al"}`

Example

`"2.711111"="122N/mm²"/"45N/mm²"`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

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
f_s = S_ut/σ_al
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

f_s = S_ut/σ_al --> 122000000/45000000

Evaluating ... ...

f_s = 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)

You are here -

Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Design for Brittle and Ductile Material under Static Load » Factor of safety for brittle materials

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 6 Design for Brittle and Ductile Material under Static Load Calculators

Factor of safety for ductile materials

Go Factor of Safety = Tensile Yield Strength for Static Load/Allowable Stress for Static Load

Allowable stress for ductile material

Go Allowable Stress for Static Load = Tensile Yield Strength for Static Load/Factor of Safety

Yield strength for ductile materials

Go Tensile Yield Strength for Static Load = Allowable Stress for Static Load*Factor of Safety

Ultimate tensile strength for brittle materials

Go Ultimate Tensile Strength = Allowable Stress for Static Load*Factor of Safety

Factor of safety for brittle materials

Go Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load

Allowable stress for brittle material

Go Allowable Stress for Static Load = Ultimate Tensile Strength/Factor of Safety

Factor of safety for brittle materials Formula

Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load
f_s = S_ut/σ_al

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 f_s 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 (S_ut) & Allowable Stress for Static Load (σ_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 f_s = S_ut/σ_al 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 (S_ut) & Allowable Stress for Static Load (σ_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

Home

FREE PDFs

🔍 Search