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Bolt Stress Formula

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Shear Stress in Bolt, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

f s = \frac{π}{4 \cdot {(d n - 0.9743 \cdot d p)}^{2}}

f_s - Shear Stress in Bolt?d_n - Nominal Bolt Diameter?d_p - Pitch Diameter?π - Archimedes' constant?

Bolt Stress Example

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With units

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Here is how the Bolt Stress equation looks like with Values.

Here is how the Bolt Stress equation looks like with Units.

Here is how the Bolt Stress equation looks like.

0.183 = \frac{3.1416}{4 \cdot {(2.8 - 0.9743 \cdot 5)}^{2}}

0.183N/mm² = \frac{3.1416}{4 \cdot {(2.8mm - 0.9743 \cdot 5mm)}^{2}}

0.183 = \frac{3.1416}{4 \cdot {(2.8 - 0.9743 \cdot 5)}^{2}}

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Bolt Stress Solution

Follow our step by step solution on how to calculate Bolt Stress?

FIRST Step Consider the formula

f s = \frac{π}{4 \cdot {(d n - 0.9743 \cdot d p)}^{2}}

Next Step Substitute values of Variables

∴

f s = \frac{π}{4 \cdot {(2.8mm - 0.9743 \cdot 5mm)}^{2}}

Next Step Substitute values of Constants

∴

f s = \frac{3.1416}{4 \cdot {(2.8mm - 0.9743 \cdot 5mm)}^{2}}

Next Step Convert Units

∴

f s = \frac{3.1416}{4 \cdot {(0.0028m - 0.9743 \cdot 0.005m)}^{2}}

Next Step Prepare to Evaluate

∴

f s = \frac{3.1416}{4 \cdot {(0.0028 - 0.9743 \cdot 0.005)}^{2}}

Next Step Evaluate

∴

f s = 183029.041805525Pa

Next Step Convert to Output's Unit

∴

f s = 0.183029041805525N/mm²

LAST Step Rounding Answer

∴

f s = 0.183N/mm²

Bolt Stress Formula Elements

Variables

Constants

Shear Stress in Bolt

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

Symbol: f_s

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Nominal Bolt Diameter

Nominal bolt diameter is the size most commonly associated with screw threads is the nominal diameter.

Symbol: d_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal Bolt Diameter

Pitch Diameter

Pitch diameter is the diameter of the basic cylindrical shape on which threads are created.

Symbol: d_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Diameter

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 Stress in Design category

Go Torsional Shear Stress in Bar

σ s = \frac{8 \cdot F \cdot d coil}{π \cdot {d s}^{3}}

Go Shear Stress on Circular Fillet Weld Subjected to Torsion

σ s = \frac{Mt t}{π \cdot h t \cdot r^{2}}

Go Shear Stress in Parallel Fillet Weld

𝜏 = \frac{P f}{0.707 \cdot L \cdot h l}

Go Shear Stress in Double Parallel Fillet Weld

𝜏 = \frac{P dp}{0.707 \cdot L \cdot h l}

How to Evaluate Bolt Stress?

Bolt Stress evaluator uses Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2) to evaluate the Shear Stress in Bolt, The Bolt Stress formula is defined as is a physical quantity used to measure the critical stress area or the minimum area of the threaded section of a bolt. Shear Stress in Bolt is denoted by f_s symbol.

How to evaluate Bolt Stress using this online evaluator? To use this online evaluator for Bolt Stress, enter Nominal Bolt Diameter (d_n) & Pitch Diameter (d_p) and hit the calculate button.

FAQs on Bolt Stress

What is the formula to find Bolt Stress?

The formula of Bolt Stress is expressed as Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2). Here is an example- 1.8E-7 = pi/(4*(0.0028-0.9743*0.005)^2).

How to calculate Bolt Stress?

With Nominal Bolt Diameter (d_n) & Pitch Diameter (d_p) we can find Bolt Stress using the formula - Shear Stress in Bolt = pi/(4*(Nominal Bolt Diameter-0.9743*Pitch Diameter)^2). This formula also uses Archimedes' constant .

Can the Bolt Stress be negative?

No, the Bolt Stress, measured in Pressure cannot be negative.

Which unit is used to measure Bolt Stress?

Bolt Stress is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Bolt Stress can be measured.

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Bolt Stress Formula

Bolt Stress Example

Bolt Stress Solution

Bolt Stress Formula Elements

Other formulas in Stress in Design category

How to Evaluate Bolt Stress?

FAQs on Bolt Stress

Variable Name