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Shear stress in bolt given torque resisted by n bolts Formula

GoShear Stress in Bolt using Maximum Load that can be Resisted by One Bolt Formula

GoShear stress in bolt given torque resisted by one bolt Formula

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The Shear Stress in Bolt is the internal force per unit area acting parallel to the surface of the bolt, crucial for assessing the bolt's structural integrity in flanged couplings. Check FAQs

f s = \frac{8 \cdot T bolt}{n \cdot π \cdot ({d bolt}^{2}) \cdot d pitch}

f_s - Shear Stress in Bolt?T_bolt - Torque Resisted by Bolt?n - Number of Bolts?d_bolt - Diameter of Bolt?d_pitch - Diameter of Bolt Pitch Circle?π - Archimedes' constant?

Shear stress in bolt given torque resisted by n bolts Example

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Here is how the Shear stress in bolt given torque resisted by n bolts equation looks like with Values.

Here is how the Shear stress in bolt given torque resisted by n bolts equation looks like with Units.

Here is how the Shear stress in bolt given torque resisted by n bolts equation looks like.

13.9887 = \frac{8 \cdot 49}{1.001 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}

13.9887N/mm² = \frac{8 \cdot 49N*m}{1.001 \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}

13.9887 = \frac{8 \cdot 49}{1.001 \cdot 3.1416 \cdot ({18.09}^{2}) \cdot 27.23}

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Shear stress in bolt given torque resisted by n bolts Solution

Follow our step by step solution on how to calculate Shear stress in bolt given torque resisted by n bolts?

FIRST Step Consider the formula

f s = \frac{8 \cdot T bolt}{n \cdot π \cdot ({d bolt}^{2}) \cdot d pitch}

Next Step Substitute values of Variables

∴

f s = \frac{8 \cdot 49N*m}{1.001 \cdot π \cdot ({18.09mm}^{2}) \cdot 27.23mm}

Next Step Substitute values of Constants

∴

f s = \frac{8 \cdot 49N*m}{1.001 \cdot 3.1416 \cdot ({18.09mm}^{2}) \cdot 27.23mm}

Next Step Convert Units

∴

f s = \frac{8 \cdot 49N*m}{1.001 \cdot 3.1416 \cdot ({0.0181m}^{2}) \cdot 0.0272m}

Next Step Prepare to Evaluate

∴

f s = \frac{8 \cdot 49}{1.001 \cdot 3.1416 \cdot ({0.0181}^{2}) \cdot 0.0272}

Next Step Evaluate

∴

f s = 13988699.5278409Pa

Next Step Convert to Output's Unit

∴

f s = 13.9886995278409N/mm²

LAST Step Rounding Answer

∴

f s = 13.9887N/mm²

Shear stress in bolt given torque resisted by n bolts Formula Elements

Variables

Constants

Shear Stress in Bolt

The Shear Stress in Bolt is the internal force per unit area acting parallel to the surface of the bolt, crucial for assessing the bolt's structural integrity in flanged couplings.

Symbol: f_s

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Bolt

Torque Resisted by Bolt

The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.

Symbol: T_bolt

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Resisted by Bolt

Number of Bolts

The Number of Bolts is the total count of bolts used in a flanged coupling, essential for ensuring secure connections in mechanical assemblies.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

Diameter of Bolt

The Diameter of Bolt is the measurement across the widest part of the bolt, essential for ensuring proper fit and compatibility in flanged coupling applications.

Symbol: d_bolt

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt

Diameter of Bolt Pitch Circle

The Diameter of Bolt Pitch Circle is the distance across the circle that passes through the centers of the bolt holes in a flanged coupling.

Symbol: d_pitch

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt Pitch Circle

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 in Bolt using Maximum Load that can be Resisted by One Bolt

f s = \frac{4 \cdot W}{π \cdot ({d bolt}^{2})}

Go Shear stress in bolt given torque resisted by one bolt

f s = \frac{8 \cdot T bolt}{π \cdot ({d bolt}^{2}) \cdot d pitch}

Other formulas in Flanged Coupling category

Go Maximum amount of load that can be resisted by one bolt

W = \frac{f s \cdot π \cdot {d bolt}^{2}}{4}

Go Diameter of bolt given maximum load that can be resisted by one bolt

d bolt = \sqrt{\frac{4 \cdot W}{π \cdot f s}}

Go Torque Resisted by One Bolt using Load Resisted by One Bolt

T bolt = W \cdot \frac{d pitch}{2}

Go Torque resisted by one bolt given shear stress in bolt

T bolt = \frac{f s \cdot π \cdot ({d bolt}^{2}) \cdot d pitch}{8}

How to Evaluate Shear stress in bolt given torque resisted by n bolts?

Shear stress in bolt given torque resisted by n bolts evaluator uses Shear Stress in Bolt = (8*Torque Resisted by Bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle) to evaluate the Shear Stress in Bolt, Shear stress in bolt given torque resisted by n bolts formula is defined as the measure of the stress experienced by each bolt in a flanged coupling system, which is critical in determining the structural integrity of the joint under various loads and torque resistances. Shear Stress in Bolt is denoted by f_s symbol.

How to evaluate Shear stress in bolt given torque resisted by n bolts using this online evaluator? To use this online evaluator for Shear stress in bolt given torque resisted by n bolts, enter Torque Resisted by Bolt (T_bolt), Number of Bolts (n), Diameter of Bolt (d_bolt) & Diameter of Bolt Pitch Circle (d_pitch) and hit the calculate button.

FAQs on Shear stress in bolt given torque resisted by n bolts

What is the formula to find Shear stress in bolt given torque resisted by n bolts?

The formula of Shear stress in bolt given torque resisted by n bolts is expressed as Shear Stress in Bolt = (8*Torque Resisted by Bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle). Here is an example- 4.7E-6 = (8*49)/(1.001*pi*(0.01809^2)*0.02723).

How to calculate Shear stress in bolt given torque resisted by n bolts?

With Torque Resisted by Bolt (T_bolt), Number of Bolts (n), Diameter of Bolt (d_bolt) & Diameter of Bolt Pitch Circle (d_pitch) we can find Shear stress in bolt given torque resisted by n bolts using the formula - Shear Stress in Bolt = (8*Torque Resisted by Bolt)/(Number of Bolts*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle). 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=(4*Load Resisted by One Bolt)/(pi*(Diameter of Bolt^2))
Shear Stress in Bolt=(8*Torque Resisted by Bolt)/(pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle)

Can the Shear stress in bolt given torque resisted by n bolts be negative?

No, the Shear stress in bolt given torque resisted by n bolts, measured in Pressure cannot be negative.

Which unit is used to measure Shear stress in bolt given torque resisted by n bolts?

Shear stress in bolt given torque resisted by n bolts 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 Shear stress in bolt given torque resisted by n bolts can be measured.

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Shear stress in bolt given torque resisted by n bolts Formula

​GoShear Stress in Bolt using Maximum Load that can be Resisted by One Bolt Formula

​GoShear stress in bolt given torque resisted by one bolt Formula

Shear stress in bolt given torque resisted by n bolts Example

Shear stress in bolt given torque resisted by n bolts Solution

Shear stress in bolt given torque resisted by n bolts Formula Elements

Other Formulas to find Shear Stress in Bolt

Other formulas in Flanged Coupling category

How to Evaluate Shear stress in bolt given torque resisted by n bolts?

FAQs on Shear stress in bolt given torque resisted by n bolts

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GoShear Stress in Bolt using Maximum Load that can be Resisted by One Bolt Formula

GoShear stress in bolt given torque resisted by one bolt Formula