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Number of bolts given torque resisted by n bolts Formula

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Number of Bolts is simply defined as the number of bolts that are under our consideration. Check FAQs

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

n - Number of Bolts?T_bolt - Torque resisted by bolt?f_s - Shear Stress in Bolt?d_bolt - Diameter of Bolt?d_pitch - Diameter of bolt pitch circle?π - Archimedes' constant?

Number of bolts given torque resisted by n bolts Example

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Here is how the Number of bolts given torque resisted by n bolts equation looks like with Values.

Here is how the Number of bolts given torque resisted by n bolts equation looks like with Units.

Here is how the Number of bolts given torque resisted by n bolts equation looks like.

9.1694 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot (9^{2}) \cdot 12}

9.1694 = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({9mm}^{2}) \cdot 12mm}

9.1694 = \frac{8 \cdot 49}{14 \cdot 3.1416 \cdot (9^{2}) \cdot 12}

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Number of bolts given torque resisted by n bolts Solution

Follow our step by step solution on how to calculate Number of bolts given torque resisted by n bolts?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n = \frac{8 \cdot 49N*m}{14N/mm² \cdot π \cdot ({9mm}^{2}) \cdot 12mm}

Next Step Substitute values of Constants

∴

n = \frac{8 \cdot 49N*m}{14N/mm² \cdot 3.1416 \cdot ({9mm}^{2}) \cdot 12mm}

Next Step Convert Units

∴

n = \frac{8 \cdot 49N*m}{1.4E+7Pa \cdot 3.1416 \cdot ({0.009m}^{2}) \cdot 0.012m}

Next Step Prepare to Evaluate

∴

n = \frac{8 \cdot 49}{1.4E+7 \cdot 3.1416 \cdot ({0.009}^{2}) \cdot 0.012}

Next Step Evaluate

∴

n = 9.16942058965652

LAST Step Rounding Answer

∴

n = 9.1694

Number of bolts given torque resisted by n bolts Formula Elements

Variables

Constants

Number of Bolts

Number of Bolts is simply defined as the number of bolts that are under our consideration.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

Torque resisted by bolt

Torque resisted by bolt is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: T_bolt

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque resisted by bolt

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

Diameter of Bolt

The Diameter of Bolt is a chord that runs through the center point of the circle.

Symbol: d_bolt

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Bolt

Diameter of bolt pitch circle

Diameter of bolt pitch circle is a chord that runs through the center point of the circle.

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 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 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 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}

How to Evaluate Number of bolts given torque resisted by n bolts?

Number of bolts given torque resisted by n bolts evaluator uses Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle) to evaluate the Number of Bolts, Number of bolts given torque resisted by n bolts is defined as the total count or number of bots in that shaft. Number of Bolts is denoted by n symbol.

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

FAQs on Number of bolts given torque resisted by n bolts

What is the formula to find Number of bolts given torque resisted by n bolts?

The formula of Number of bolts given torque resisted by n bolts is expressed as Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle). Here is an example- 9.169421 = (8*49)/(14000000*pi*(0.009^2)*0.012).

How to calculate Number of bolts given torque resisted by n bolts?

With Torque resisted by bolt (T_bolt), Shear Stress in Bolt (f_s), Diameter of Bolt (d_bolt) & Diameter of bolt pitch circle (d_pitch) we can find Number of bolts given torque resisted by n bolts using the formula - Number of Bolts = (8*Torque resisted by bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of bolt pitch circle). This formula also uses Archimedes' constant .

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Number of bolts given torque resisted by n bolts Formula

Number of bolts given torque resisted by n bolts Example

Number of bolts given torque resisted by n bolts Solution

Number of bolts given torque resisted by n bolts Formula Elements

Other formulas in Flanged Coupling category

How to Evaluate Number of bolts given torque resisted by n bolts?

FAQs on Number of bolts given torque resisted by n bolts

Variable Name