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Factor of Safety given Tensile Force on Bolt in Tension Formula

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

f s = \frac{π}{4} \cdot {d c}^{2} \cdot \frac{S yt}{P tb}

f_s - Factor of Safety of Bolted Joint?d_c - Core Diameter of Bolt?S_yt - Tensile Yield Strength of Bolt?P_tb - Tensile Force in Bolt?π - Archimedes' constant?

Factor of Safety given Tensile Force on Bolt in Tension Example

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Here is how the Factor of Safety given Tensile Force on Bolt in Tension equation looks like with Values.

Here is how the Factor of Safety given Tensile Force on Bolt in Tension equation looks like with Units.

Here is how the Factor of Safety given Tensile Force on Bolt in Tension equation looks like.

3.0057 = \frac{3.1416}{4} \cdot 12^{2} \cdot \frac{265.5}{9990}

3.0057 = \frac{3.1416}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{9990N}

3.0057 = \frac{3.1416}{4} \cdot 12^{2} \cdot \frac{265.5}{9990}

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Factor of Safety given Tensile Force on Bolt in Tension Solution

Follow our step by step solution on how to calculate Factor of Safety given Tensile Force on Bolt in Tension?

FIRST Step Consider the formula

f s = \frac{π}{4} \cdot {d c}^{2} \cdot \frac{S yt}{P tb}

Next Step Substitute values of Variables

∴

f s = \frac{π}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{9990N}

Next Step Substitute values of Constants

∴

f s = \frac{3.1416}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{9990N}

Next Step Convert Units

∴

f s = \frac{3.1416}{4} \cdot {0.012m}^{2} \cdot \frac{2.7E+8Pa}{9990N}

Next Step Prepare to Evaluate

∴

f s = \frac{3.1416}{4} \cdot {0.012}^{2} \cdot \frac{2.7E+8}{9990}

Next Step Evaluate

∴

f s = 3.00573999829942

LAST Step Rounding Answer

∴

f s = 3.0057

Factor of Safety given Tensile Force on Bolt in Tension Formula Elements

Variables

Constants

Factor of Safety of Bolted Joint

Factor of Safety of Bolted Joint expresses how much stronger a bolted joint 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 of Bolted Joint

Core Diameter of Bolt

Core Diameter of Bolt is defined as the smallest diameter of the thread of the bolt. The term “minor diameter” replaces the term “core diameter” as applied to the thread.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core Diameter of Bolt

Tensile Yield Strength of Bolt

Tensile Yield Strength of Bolt is the stress the bolt can withstand without permanent deformation or a point at which it will no longer return to its original dimensions.

Symbol: S_yt

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Yield Strength of Bolt

Tensile Force in Bolt

Tensile Force in Bolt is the stretching force acting on the bolt and generally results in tensile stress and tensile strain in the specimen.

Symbol: P_tb

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force in Bolt

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Joint Analysis category

Go Yield Strength of Bolt in Tension given Tensile Force on Bolt in Tension

S yt = 4 \cdot P tb \cdot \frac{f s}{π \cdot {d c}^{2}}

Go Yield Strength of Bolt in Shear given Tensile Force on Bolt in Shear

S sy = P tb \cdot \frac{f s}{π \cdot d c \cdot h}

Go Yield Strength of Bolt in Tension given Tensile Force on Bolt in Shear

S yt = \frac{2 \cdot P tb \cdot f s}{π \cdot d c \cdot h}

Go Maximum Tensile Stress in Bolt

σt max = \frac{P tb}{\frac{π}{4} \cdot {d c}^{2}}

How to Evaluate Factor of Safety given Tensile Force on Bolt in Tension?

Factor of Safety given Tensile Force on Bolt in Tension evaluator uses Factor of Safety of Bolted Joint = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Tensile Force in Bolt to evaluate the Factor of Safety of Bolted Joint, Factor of Safety given Tensile Force on Bolt in Tension formula is defined as the ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design. Factor of Safety of Bolted Joint is denoted by f_s symbol.

How to evaluate Factor of Safety given Tensile Force on Bolt in Tension using this online evaluator? To use this online evaluator for Factor of Safety given Tensile Force on Bolt in Tension, enter Core Diameter of Bolt (d_c), Tensile Yield Strength of Bolt (S_yt) & Tensile Force in Bolt (P_tb) and hit the calculate button.

FAQs on Factor of Safety given Tensile Force on Bolt in Tension

What is the formula to find Factor of Safety given Tensile Force on Bolt in Tension?

The formula of Factor of Safety given Tensile Force on Bolt in Tension is expressed as Factor of Safety of Bolted Joint = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Tensile Force in Bolt. Here is an example- 3.00574 = pi/4*0.012^2*265500000/9990.

How to calculate Factor of Safety given Tensile Force on Bolt in Tension?

With Core Diameter of Bolt (d_c), Tensile Yield Strength of Bolt (S_yt) & Tensile Force in Bolt (P_tb) we can find Factor of Safety given Tensile Force on Bolt in Tension using the formula - Factor of Safety of Bolted Joint = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Tensile Force in Bolt. This formula also uses Archimedes' constant .

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Factor of Safety given Tensile Force on Bolt in Tension Formula

Factor of Safety given Tensile Force on Bolt in Tension Example

Factor of Safety given Tensile Force on Bolt in Tension Solution

Factor of Safety given Tensile Force on Bolt in Tension Formula Elements

Other formulas in Joint Analysis category

How to Evaluate Factor of Safety given Tensile Force on Bolt in Tension?

FAQs on Factor of Safety given Tensile Force on Bolt in Tension

Variable Name