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Tensile Force acting on Bolt given Shear Stress Formula

GoTensile Force acting on Bolt given Tensile Stress Formula

GoTensile Force acting on Bolt Formula

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The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt. Check FAQs

P = (π \cdot 𝜏 \cdot d c' \cdot h n)

P - Tensile Force on Bolt?𝜏 - Shear Stress in Bolt?d_c' - Core Diameter of Threaded Bolt?h_n - Height of Nut?π - Archimedes' constant?

Tensile Force acting on Bolt given Shear Stress Example

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Here is how the Tensile Force acting on Bolt given Shear Stress equation looks like with Values.

Here is how the Tensile Force acting on Bolt given Shear Stress equation looks like with Units.

Here is how the Tensile Force acting on Bolt given Shear Stress equation looks like.

28198.9357 = (3.1416 \cdot 120 \cdot 8.5 \cdot 8.8)

28198.9357N = (3.1416 \cdot 120N/mm² \cdot 8.5mm \cdot 8.8mm)

28198.9357 = (3.1416 \cdot 120 \cdot 8.5 \cdot 8.8)

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Tensile Force acting on Bolt given Shear Stress Solution

Follow our step by step solution on how to calculate Tensile Force acting on Bolt given Shear Stress?

FIRST Step Consider the formula

P = (π \cdot 𝜏 \cdot d c' \cdot h n)

Next Step Substitute values of Variables

∴

P = (π \cdot 120N/mm² \cdot 8.5mm \cdot 8.8mm)

Next Step Substitute values of Constants

∴

P = (3.1416 \cdot 120N/mm² \cdot 8.5mm \cdot 8.8mm)

Next Step Convert Units

∴

P = (3.1416 \cdot 1.2E+8Pa \cdot 0.0085m \cdot 0.0088m)

Next Step Prepare to Evaluate

∴

P = (3.1416 \cdot 1.2E+8 \cdot 0.0085 \cdot 0.0088)

Next Step Evaluate

∴

P = 28198.935658622N

LAST Step Rounding Answer

∴

P = 28198.9357N

Tensile Force acting on Bolt given Shear Stress Formula Elements

Variables

Constants

Tensile Force on Bolt

The Tensile Force on Bolt is the magnitude of the force applied along the bolt axis trying to stretch the bolt.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force on Bolt

Shear Stress in Bolt

Shear Stress in Bolt is force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Core Diameter of Threaded Bolt

Core Diameter of Threaded 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 Threaded Bolt

Height of Nut

Height of Nut is the length of the nut measured along its central axis.

Symbol: h_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Nut

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 on Bolt

Go Tensile Force acting on Bolt given Tensile Stress

P = σ t \cdot π \cdot \frac{{d c'}^{2}}{4}

Go Tensile Force acting on Bolt

P = (π \cdot 𝜏 \cdot d c' \cdot h n)

Other formulas in Structural Response and Force Analysis category

Go Tensile Stress Area of Threaded fastener

A = \frac{π}{4} \cdot {(\frac{d p + d c}{2})}^{2}

Go Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter

σ t = \frac{P}{\frac{π}{4} \cdot {d c'}^{2}}

Go Tensile Yield Strength of Bolt

σ yt = f s \cdot σ t

Go Tensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength

σ t = \frac{σ yt}{f s}

How to Evaluate Tensile Force acting on Bolt given Shear Stress?

Tensile Force acting on Bolt given Shear Stress evaluator uses Tensile Force on Bolt = (pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt*Height of Nut) to evaluate the Tensile Force on Bolt, Tensile Force acting on Bolt given Shear Stress formula refers to a force that attempts to pull apart or stretch a bolt. Tensile Force on Bolt is denoted by P symbol.

How to evaluate Tensile Force acting on Bolt given Shear Stress using this online evaluator? To use this online evaluator for Tensile Force acting on Bolt given Shear Stress, enter Shear Stress in Bolt (𝜏), Core Diameter of Threaded Bolt (d_c') & Height of Nut (h_n) and hit the calculate button.

FAQs on Tensile Force acting on Bolt given Shear Stress

What is the formula to find Tensile Force acting on Bolt given Shear Stress?

The formula of Tensile Force acting on Bolt given Shear Stress is expressed as Tensile Force on Bolt = (pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt*Height of Nut). Here is an example- 28198.94 = (pi*120000000*0.0085*0.0088).

How to calculate Tensile Force acting on Bolt given Shear Stress?

With Shear Stress in Bolt (𝜏), Core Diameter of Threaded Bolt (d_c') & Height of Nut (h_n) we can find Tensile Force acting on Bolt given Shear Stress using the formula - Tensile Force on Bolt = (pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt*Height of Nut). This formula also uses Archimedes' constant .

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

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

Tensile Force on Bolt=Tensile Stress in Bolt*pi*(Core Diameter of Threaded Bolt^2)/4
Tensile Force on Bolt=(pi*Shear Stress in Bolt*Core Diameter of Threaded Bolt*Height of Nut)

Can the Tensile Force acting on Bolt given Shear Stress be negative?

No, the Tensile Force acting on Bolt given Shear Stress, measured in Force cannot be negative.

Which unit is used to measure Tensile Force acting on Bolt given Shear Stress?

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

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Tensile Force acting on Bolt given Shear Stress Formula

​GoTensile Force acting on Bolt given Tensile Stress Formula

​GoTensile Force acting on Bolt Formula

Tensile Force acting on Bolt given Shear Stress Example

Tensile Force acting on Bolt given Shear Stress Solution

Tensile Force acting on Bolt given Shear Stress Formula Elements

Other Formulas to find Tensile Force on Bolt

Other formulas in Structural Response and Force Analysis category

How to Evaluate Tensile Force acting on Bolt given Shear Stress?

FAQs on Tensile Force acting on Bolt given Shear Stress

Variable Name

GoTensile Force acting on Bolt given Tensile Stress Formula

GoTensile Force acting on Bolt Formula