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Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Formula

GoShear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener Formula

GoShear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength Formula

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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. Check FAQs

𝜏 = \frac{P}{π \cdot d c' \cdot h n}

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

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Example

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Here is how the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force equation looks like with Values.

Here is how the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force equation looks like with Units.

Here is how the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force equation looks like.

120.0045 = \frac{28200}{3.1416 \cdot 8.5 \cdot 8.8}

120.0045N/mm² = \frac{28200N}{3.1416 \cdot 8.5mm \cdot 8.8mm}

120.0045 = \frac{28200}{3.1416 \cdot 8.5 \cdot 8.8}

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Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Solution

Follow our step by step solution on how to calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

FIRST Step Consider the formula

𝜏 = \frac{P}{π \cdot d c' \cdot h n}

Next Step Substitute values of Variables

∴

𝜏 = \frac{28200N}{π \cdot 8.5mm \cdot 8.8mm}

Next Step Substitute values of Constants

∴

𝜏 = \frac{28200N}{3.1416 \cdot 8.5mm \cdot 8.8mm}

Next Step Convert Units

∴

𝜏 = \frac{28200N}{3.1416 \cdot 0.0085m \cdot 0.0088m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{28200}{3.1416 \cdot 0.0085 \cdot 0.0088}

Next Step Evaluate

∴

𝜏 = 120004529.283194Pa

Next Step Convert to Output's Unit

∴

𝜏 = 120.004529283194N/mm²

LAST Step Rounding Answer

∴

𝜏 = 120.0045N/mm²

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Formula Elements

Variables

Constants

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

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

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 Shear Stress in Bolt

Go Shear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener

𝜏 = \frac{S sy}{f s}

Go Shear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength

𝜏 = \frac{σ yt}{2 \cdot f s}

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 Force acting on Bolt given Tensile Stress

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

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

How to Evaluate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force evaluator uses Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut) to evaluate the Shear Stress in Bolt, Shear Stress at Core Diameter of Threaded Fastener given Tensile Force formula is defined as the force tending to cause deformation of the bolt by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Bolt is denoted by 𝜏 symbol.

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

FAQs on Shear Stress at Core Diameter of Threaded Fastener given Tensile Force

What is the formula to find Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

The formula of Shear Stress at Core Diameter of Threaded Fastener given Tensile Force is expressed as Shear Stress in Bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of Nut). Here is an example- 0.00012 = 28200/(pi*0.0085*0.0088).

How to calculate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

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

What are the other ways to Calculate Shear Stress in Bolt?

Here are the different ways to Calculate Shear Stress in Bolt-

Shear Stress in Bolt=Shear Yield Strength of Bolt/Factor of Safety For Bolt
Shear Stress in Bolt=Tensile Yield Strength of Bolt/(2*Factor of Safety For Bolt)

Can the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force be negative?

No, the Shear Stress at Core Diameter of Threaded Fastener given Tensile Force, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Stress at Core Diameter of Threaded Fastener given Tensile Force can be measured.

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Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Formula

​GoShear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener Formula

​GoShear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength Formula

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Example

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Solution

Shear Stress at Core Diameter of Threaded Fastener given Tensile Force Formula Elements

Other Formulas to find Shear Stress in Bolt

Other formulas in Structural Response and Force Analysis category

How to Evaluate Shear Stress at Core Diameter of Threaded Fastener given Tensile Force?

FAQs on Shear Stress at Core Diameter of Threaded Fastener given Tensile Force

Variable Name

GoShear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener Formula

GoShear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength Formula