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Tensile Force on Bolt in Tension Formula

GoTensile Force on Bolt given Maximum Tensile Stress in Bolt Formula

GoTensile Force on Bolt in Shear Formula

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

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

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

Tensile Force on Bolt in Tension Example

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

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

Here is how the Tensile Force on Bolt in Tension equation looks like.

10009.1142 = \frac{3.1416}{4} \cdot 12^{2} \cdot \frac{265.5}{3}

10009.1142N = \frac{3.1416}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{3}

10009.1142 = \frac{3.1416}{4} \cdot 12^{2} \cdot \frac{265.5}{3}

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Tensile Force on Bolt in Tension Solution

Follow our step by step solution on how to calculate Tensile Force on Bolt in Tension?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P tb = \frac{π}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{3}

Next Step Substitute values of Constants

∴

P tb = \frac{3.1416}{4} \cdot {12mm}^{2} \cdot \frac{265.5N/mm²}{3}

Next Step Convert Units

∴

P tb = \frac{3.1416}{4} \cdot {0.012m}^{2} \cdot \frac{2.7E+8Pa}{3}

Next Step Prepare to Evaluate

∴

P tb = \frac{3.1416}{4} \cdot {0.012}^{2} \cdot \frac{2.7E+8}{3}

Next Step Evaluate

∴

P tb = 10009.1141943371N

LAST Step Rounding Answer

∴

P tb = 10009.1142N

Tensile Force on Bolt in Tension Formula Elements

Variables

Constants

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

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

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

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 to find Tensile Force in Bolt

Go Tensile Force on Bolt given Maximum Tensile Stress in Bolt

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

Go Tensile Force on Bolt in Shear

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

Other formulas in Load and Strength Characteristics category

Go Stiffness of Bolt given Thickness of Parts Joined by Bolt

k b' = \frac{π \cdot d^{2} \cdot E}{4 \cdot l}

Go Thickness of Parts Held Together by Bolt given Stiffness of Bolt

l = \frac{π \cdot d^{2} \cdot E}{4 \cdot k b'}

Go Young's Modulus of Bolt given Stiffness of Bolt

E = \frac{k b' \cdot l \cdot 4}{d^{2} \cdot π}

Go Pre Load in Bolt given Elongation of Bolt

P i = ẟ b \cdot k b'

How to Evaluate Tensile Force on Bolt in Tension?

Tensile Force on Bolt in Tension evaluator uses Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint to evaluate the Tensile Force in Bolt, Tensile Force on Bolt in Tension formula is defined as the tensile force that will produce a certain amount of permanent deformation within a specific fastener. Tensile Force in Bolt is denoted by P_tb symbol.

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

FAQs on Tensile Force on Bolt in Tension

What is the formula to find Tensile Force on Bolt in Tension?

The formula of Tensile Force on Bolt in Tension is expressed as Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint. Here is an example- 10009.11 = pi/4*0.012^2*265500000/3.

How to calculate Tensile Force on Bolt in Tension?

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

What are the other ways to Calculate Tensile Force in Bolt?

Here are the different ways to Calculate Tensile Force in Bolt-

Tensile Force in Bolt=Maximum Tensile Stress in Bolt*pi/4*Core Diameter of Bolt^2
Tensile Force in Bolt=pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint

Can the Tensile Force on Bolt in Tension be negative?

No, the Tensile Force on Bolt in Tension, measured in Force cannot be negative.

Which unit is used to measure Tensile Force on Bolt in Tension?

Tensile Force on Bolt in Tension is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tensile Force on Bolt in Tension can be measured.

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Tensile Force on Bolt in Tension Formula

​GoTensile Force on Bolt given Maximum Tensile Stress in Bolt Formula

​GoTensile Force on Bolt in Shear Formula

Tensile Force on Bolt in Tension Example

Tensile Force on Bolt in Tension Solution

Tensile Force on Bolt in Tension Formula Elements

Other Formulas to find Tensile Force in Bolt

Other formulas in Load and Strength Characteristics category

How to Evaluate Tensile Force on Bolt in Tension?

FAQs on Tensile Force on Bolt in Tension

Variable Name

GoTensile Force on Bolt given Maximum Tensile Stress in Bolt Formula

GoTensile Force on Bolt in Shear Formula