Pre Load in Bolt given Elongation of Bolt Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt
Pi = b*kb'
This formula uses 3 Variables
Variables Used
Pre Load in Bolt - (Measured in Newton) - Pre Load in Bolt is the tension created in a bolt when it is tightened.
Elongation of Bolt - (Measured in Meter) - Elongation of Bolt is the difference between the measurement in readings taken before and after tightening a bolt.
Stiffness of Bolt - (Measured in Newton per Meter) - The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.
STEP 1: Convert Input(s) to Base Unit
Elongation of Bolt: 0.05 Millimeter --> 5E-05 Meter (Check conversion here)
Stiffness of Bolt: 317000 Newton per Millimeter --> 317000000 Newton per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = ẟb*kb' --> 5E-05*317000000
Evaluating ... ...
Pi = 15850
STEP 3: Convert Result to Output's Unit
15850 Newton --> No Conversion Required
FINAL ANSWER
15850 Newton <-- Pre Load in Bolt
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
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13 Load and Strength Characteristics Calculators

Tensile Force on Bolt in Shear
Go Tensile Force in Bolt = pi*Core Diameter of Bolt*Height of Nut*Shear Yield Strength of Bolt/Factor of Safety of Bolted Joint
Thickness of Parts Held Together by Bolt given Stiffness of Bolt
Go Total Thickness of Parts held together by Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Stiffness of Bolt)
Stiffness of Bolt given Thickness of Parts Joined by Bolt
Go Stiffness of Bolt = (pi*Nominal Bolt Diameter^2*Modulus of Elasticity of Bolt)/(4*Total Thickness of Parts held together by Bolt)
Young's Modulus of Bolt given Stiffness of Bolt
Go Modulus of Elasticity of Bolt = (Stiffness of Bolt*Total Thickness of Parts held together by Bolt*4)/(Nominal Bolt Diameter^2*pi)
Tensile Force on Bolt in Tension
Go Tensile Force in Bolt = pi/4*Core Diameter of Bolt^2*Tensile Yield Strength of Bolt/Factor of Safety of Bolted Joint
Tensile Force on Bolt given Maximum Tensile Stress in Bolt
Go Tensile Force in Bolt = Maximum Tensile Stress in Bolt*pi/4*Core Diameter of Bolt^2
Imaginary Force at Center of Gravity of Bolted Joint given Primary Shear Force
Go Imaginary Force on Bolt = Primary Shear Force on Bolt*Number of Bolts in Bolted Joint
Number of Bolts given Primary Shear Force
Go Number of Bolts in Bolted Joint = Imaginary Force on Bolt/Primary Shear Force on Bolt
Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt
Go Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt
Pre Load in Bolt given Wrench Torque
Go Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)
Wrench Torque Required to Create Required Pre Load
Go Wrench Torque for Bolt Tightening = 0.2*Pre Load in Bolt*Nominal Bolt Diameter
Resultant Load on Bolt given Pre Load and External Load
Go Resultant Load on Bolt = Pre Load in Bolt+Load due to External Force on Bolt
Pre Load in Bolt given Elongation of Bolt
Go Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt

Pre Load in Bolt given Elongation of Bolt Formula

Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt
Pi = b*kb'

What is the difference between Elongation and Compression?

Deformation is the change in the shape or dimensions of a body under the application of load, whereas Elongation is the change in length of the body under the application of load. So elongation is a form of deformation, but deformation needs not just be elongation alone.

How to Calculate Pre Load in Bolt given Elongation of Bolt?

Pre Load in Bolt given Elongation of Bolt calculator uses Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt to calculate the Pre Load in Bolt, Pre load in Bolt given Elongation of Bolt is defined as the tension created in a fastener when it is tightened. This tensile force in the bolt creates a compressive force in the bolted joint known as clamp force. For practical purposes, the clamping force in an unloaded bolted joint is assumed to be equal to and opposite to the preload. Pre Load in Bolt is denoted by Pi symbol.

How to calculate Pre Load in Bolt given Elongation of Bolt using this online calculator? To use this online calculator for Pre Load in Bolt given Elongation of Bolt, enter Elongation of Bolt (ẟb) & Stiffness of Bolt (kb') and hit the calculate button. Here is how the Pre Load in Bolt given Elongation of Bolt calculation can be explained with given input values -> 15850 = 5E-05*317000000.

FAQ

What is Pre Load in Bolt given Elongation of Bolt?
Pre load in Bolt given Elongation of Bolt is defined as the tension created in a fastener when it is tightened. This tensile force in the bolt creates a compressive force in the bolted joint known as clamp force. For practical purposes, the clamping force in an unloaded bolted joint is assumed to be equal to and opposite to the preload and is represented as Pi = ẟb*kb' or Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt. Elongation of Bolt is the difference between the measurement in readings taken before and after tightening a bolt & The Stiffness of Boltt is the extent to which the bolt resists deformation in response to an applied force.
How to calculate Pre Load in Bolt given Elongation of Bolt?
Pre load in Bolt given Elongation of Bolt is defined as the tension created in a fastener when it is tightened. This tensile force in the bolt creates a compressive force in the bolted joint known as clamp force. For practical purposes, the clamping force in an unloaded bolted joint is assumed to be equal to and opposite to the preload is calculated using Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt. To calculate Pre Load in Bolt given Elongation of Bolt, you need Elongation of Bolt (ẟb) & Stiffness of Bolt (kb'). With our tool, you need to enter the respective value for Elongation of Bolt & Stiffness of Bolt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pre Load in Bolt?
In this formula, Pre Load in Bolt uses Elongation of Bolt & Stiffness of Bolt. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt
  • Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)
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