Number of bolts given torque resisted by n bolts Calculator

✖The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.ⓘ Torque Resisted by Bolt [T_bolt]			+10% -10%
✖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.ⓘ Shear Stress in Bolt [f_s]			+10% -10%
✖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.ⓘ Diameter of Bolt [d_bolt]			+10% -10%
✖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.ⓘ Diameter of Bolt Pitch Circle [d_pitch]			+10% -10%

✖The Number of Bolts is the total count of bolts used in a flanged coupling, essential for ensuring secure connections in mechanical assemblies.ⓘ Number of bolts given torque resisted by n bolts [n]

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Number of bolts given torque resisted by n bolts Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle)
n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Torque Resisted by Bolt - (Measured in Newton Meter) - The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings.
Shear Stress in Bolt - (Measured in Pascal) - 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.
Diameter of Bolt - (Measured in Meter) - 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.
Diameter of Bolt Pitch Circle - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Torque Resisted by Bolt: 49 Newton Meter --> 49 Newton Meter No Conversion Required
Shear Stress in Bolt: 14 Newton per Square Millimeter --> 14000000 Pascal (Check conversion here)
Diameter of Bolt: 18.09 Millimeter --> 0.01809 Meter (Check conversion here)
Diameter of Bolt Pitch Circle: 27.23 Millimeter --> 0.02723 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch) --> (8*49)/(14000000*pi*(0.01809^2)*0.02723)

Evaluating ... ...

n = 1.00019201624062

STEP 3: Convert Result to Output's Unit

1.00019201624062 --> No Conversion Required

FINAL ANSWER

1.00019201624062 ≈ 1.000192 <-- Number of Bolts

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Flanged Coupling Calculators

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

LaTeX Go Diameter of Bolt = sqrt((4*Load Resisted by One Bolt)/(pi*Shear Stress in Bolt))

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

LaTeX Go Shear Stress in Bolt = (4*Load Resisted by One Bolt)/(pi*(Diameter of Bolt^2))

Maximum amount of load that can be resisted by one bolt

LaTeX Go Load Resisted by One Bolt = (Shear Stress in Bolt*pi*Diameter of Bolt^2)/4

Torque Resisted by One Bolt using Load Resisted by One Bolt

LaTeX Go Torque Resisted by Bolt = Load Resisted by One Bolt*Diameter of Bolt Pitch Circle/2

Number of bolts given torque resisted by n bolts Formula

LaTeX Go

Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle)
n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch)

What is Torque and its application?

Torque is the application of force where there is rotational motion. The most obvious example of torque in action is the operation of a crescent wrench loosening a lug nut, and a close second is a playground seesaw.

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

Number of bolts given torque resisted by n bolts calculator uses Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle) to calculate the Number of Bolts, Number of bolts given torque resisted by n bolts formula is defined as a method to determine the required number of bolts in a flanged coupling system, considering the torque resisted by each bolt, to ensure the structural integrity and safety of the system. Number of Bolts is denoted by n symbol.

How to calculate Number of bolts given torque resisted by n bolts using this online calculator? To use this online calculator 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. Here is how the Number of bolts given torque resisted by n bolts calculation can be explained with given input values -> 1.000192 = (8*49)/(14000000*pi*(0.01809^2)*0.02723).

FAQ

What is Number of bolts given torque resisted by n bolts?

Number of bolts given torque resisted by n bolts formula is defined as a method to determine the required number of bolts in a flanged coupling system, considering the torque resisted by each bolt, to ensure the structural integrity and safety of the system and is represented as n = (8*T_bolt)/(f_s*pi*(d_bolt^2)*d_pitch) or Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle). The Torque Resisted by Bolt is the rotational force that a bolt can withstand before failure, ensuring the integrity of connections in flanged couplings, 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, 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 & 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.

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

Number of bolts given torque resisted by n bolts formula is defined as a method to determine the required number of bolts in a flanged coupling system, considering the torque resisted by each bolt, to ensure the structural integrity and safety of the system is calculated using Number of Bolts = (8*Torque Resisted by Bolt)/(Shear Stress in Bolt*pi*(Diameter of Bolt^2)*Diameter of Bolt Pitch Circle). To calculate Number of bolts given torque resisted by n bolts, you need Torque Resisted by Bolt (T_bolt), Shear Stress in Bolt (f_s), Diameter of Bolt (d_bolt) & Diameter of Bolt Pitch Circle (d_pitch). With our tool, you need to enter the respective value for Torque Resisted by Bolt, Shear Stress in Bolt, Diameter of Bolt & Diameter of Bolt Pitch Circle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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