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Factor of safety for brittle materials Formula

GoFactor of safety for ductile materials Formula

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Factor of Safety expresses how much stronger a system is than it needs to be for an intended load. Check FAQs

f s = \frac{S ut}{σ al}

f_s - Factor of Safety?S_ut - Ultimate Tensile Strength?σ_al - Allowable Stress for Static Load?

Factor of safety for brittle materials Example

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Here is how the Factor of safety for brittle materials equation looks like with Values.

Here is how the Factor of safety for brittle materials equation looks like with Units.

Here is how the Factor of safety for brittle materials equation looks like.

2.7111 = \frac{122}{45}

2.7111 = \frac{122N/mm²}{45N/mm²}

2.7111 = \frac{122}{45}

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Factor of safety for brittle materials Solution

Follow our step by step solution on how to calculate Factor of safety for brittle materials?

FIRST Step Consider the formula

f s = \frac{S ut}{σ al}

Next Step Substitute values of Variables

∴

f s = \frac{122N/mm²}{45N/mm²}

Next Step Convert Units

∴

f s = \frac{1.2E+8Pa}{4.5E+7Pa}

Next Step Prepare to Evaluate

∴

f s = \frac{1.2E+8}{4.5E+7}

Next Step Evaluate

∴

f s = 2.71111111111111

LAST Step Rounding Answer

∴

f s = 2.7111

Factor of safety for brittle materials Formula Elements

Variables

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Ultimate Tensile Strength

Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.

Symbol: S_ut

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Ultimate Tensile Strength

Allowable Stress for Static Load

Allowable Stress for Static Load is also known as working load and is the ratio of tensile strength and factor of safety.

Symbol: σ_al

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Allowable Stress for Static Load

Other Formulas to find Factor of Safety

Go Factor of safety for ductile materials

f s = \frac{σ static load}{σ al}

Other formulas in Design for Brittle and Ductile Material under Static Load category

Go Allowable stress for ductile material

σ al = \frac{σ static load}{f s}

Go Yield strength for ductile materials

σ static load = σ al \cdot f s

Go Allowable stress for brittle material

σ al = \frac{S ut}{f s}

Go Ultimate tensile strength for brittle materials

S ut = σ al \cdot f s

How to Evaluate Factor of safety for brittle materials?

Factor of safety for brittle materials evaluator uses Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load to evaluate 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 evaluate Factor of safety for brittle materials using this online evaluator? To use this online evaluator 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.

FAQs on Factor of safety for brittle materials

What is the formula to find Factor of safety for brittle materials?

The formula of Factor of safety for brittle materials is expressed as Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load. Here is an example- 2.711111 = 122000000/45000000.

How to calculate Factor of safety for brittle materials?

With Ultimate Tensile Strength (S_ut) & Allowable Stress for Static Load (σ_al) we can find Factor of safety for brittle materials using the formula - Factor of Safety = Ultimate Tensile Strength/Allowable Stress for Static Load.

What are the other ways to Calculate Factor of Safety?

Here are the different ways to Calculate Factor of Safety-

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

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Factor of safety for brittle materials Formula

​GoFactor of safety for ductile materials Formula

Factor of safety for brittle materials Example

Factor of safety for brittle materials Solution

Factor of safety for brittle materials Formula Elements

Other Formulas to find Factor of Safety

Other formulas in Design for Brittle and Ductile Material under Static Load category

How to Evaluate Factor of safety for brittle materials?

FAQs on Factor of safety for brittle materials

Variable Name

GoFactor of safety for ductile materials Formula