Pre Load in Bolt given Wrench Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)
Pi = Mt/(0.2*d)
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.
Wrench Torque for Bolt Tightening - (Measured in Newton Meter) - Wrench Torque for Bolt Tightening is defined as the torque required to create a load on fasteners such as a nut, bolt, or lag screw.
Nominal Bolt Diameter - (Measured in Meter) - Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.
STEP 1: Convert Input(s) to Base Unit
Wrench Torque for Bolt Tightening: 49500 Newton Millimeter --> 49.5 Newton Meter (Check conversion here)
Nominal Bolt Diameter: 15 Millimeter --> 0.015 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = Mt/(0.2*d) --> 49.5/(0.2*0.015)
Evaluating ... ...
Pi = 16500
STEP 3: Convert Result to Output's Unit
16500 Newton --> No Conversion Required
FINAL ANSWER
16500 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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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 Wrench Torque Formula

Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)
Pi = Mt/(0.2*d)

What is pre-load in wrench torque?

Preload tension is the amount of tension applied to the bolt by a device like a torque wrench or spanner that tightens the bolt into place before the load it will eventually support is added.

How to Calculate Pre Load in Bolt given Wrench Torque?

Pre Load in Bolt given Wrench Torque calculator uses Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter) to calculate the Pre Load in Bolt, Pre load in Bolt given Wrench Torque 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 Wrench Torque using this online calculator? To use this online calculator for Pre Load in Bolt given Wrench Torque, enter Wrench Torque for Bolt Tightening (Mt) & Nominal Bolt Diameter (d) and hit the calculate button. Here is how the Pre Load in Bolt given Wrench Torque calculation can be explained with given input values -> 16500 = 49.5/(0.2*0.015).

FAQ

What is Pre Load in Bolt given Wrench Torque?
Pre load in Bolt given Wrench Torque 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 = Mt/(0.2*d) or Pre Load in Bolt = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter). Wrench Torque for Bolt Tightening is defined as the torque required to create a load on fasteners such as a nut, bolt, or lag screw & Nominal Bolt Diameter is the diameter equal to the external diameter of the threads or the overall diameter of the part of the bolt.
How to calculate Pre Load in Bolt given Wrench Torque?
Pre load in Bolt given Wrench Torque 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 = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter). To calculate Pre Load in Bolt given Wrench Torque, you need Wrench Torque for Bolt Tightening (Mt) & Nominal Bolt Diameter (d). With our tool, you need to enter the respective value for Wrench Torque for Bolt Tightening & Nominal Bolt Diameter 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 Wrench Torque for Bolt Tightening & Nominal Bolt Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pre Load in Bolt = Elongation of Bolt*Stiffness of Bolt
  • Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt
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