Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt Calculator

✖Amount of Compression of Bolted Joint is the value by which the bolted joint system has been compressed.ⓘ Amount of Compression of Bolted Joint [δ_c]			+10% -10%
✖Combined Stiffness of Bolt is the resisting force per unit change in length of the bolt and the assembly.ⓘ Combined Stiffness of Bolt [k]			+10% -10%

✖Pre Load in Bolt is the tension created in a bolt when it is tightened.ⓘ Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt [P_i]

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Formula

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Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt

Formula

`"P"_{"i"} = "δ"_{"c"}*"k"`

Example

`"16500N"="11mm"*"1500N/mm"`

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Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt
P_i = δ_c*k
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.
Amount of Compression of Bolted Joint - (Measured in Meter) - Amount of Compression of Bolted Joint is the value by which the bolted joint system has been compressed.
Combined Stiffness of Bolt - (Measured in Newton per Meter) - Combined Stiffness of Bolt is the resisting force per unit change in length of the bolt and the assembly.

STEP 1: Convert Input(s) to Base Unit

Amount of Compression of Bolted Joint: 11 Millimeter --> 0.011 Meter (Check conversion here)
Combined Stiffness of Bolt: 1500 Newton per Millimeter --> 1500000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = δ_c*k --> 0.011*1500000

Evaluating ... ...

P_i = 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)

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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 Amount of Compression in Parts Joined by Bolt Formula

Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt
P_i = δ_c*k

What is a bolt?

A bolt is a form of threaded fastener with an external male thread requiring a matching pre-formed female thread such as a nut. Bolts are very closely related to screws. A bolt is inserted through parts which all have unthreaded holes and a nut is then screwed onto the bolt to provide a clamping force and prevent axial movement. A screw may first pass through a first part with a clearance hole but its threads mate with threads in one of the parts being fastened. A screw may cut its own threads or mate with a threaded part.

How to Calculate Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt?

Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt calculator uses Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt to calculate the Pre Load in Bolt, Pre load in Bolt given Amount of Compression in Parts Joined by Bolt formula 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 and opposite of the preload. Pre Load in Bolt is denoted by P_i symbol.

How to calculate Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt using this online calculator? To use this online calculator for Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt, enter Amount of Compression of Bolted Joint (δ_c) & Combined Stiffness of Bolt (k) and hit the calculate button. Here is how the Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt calculation can be explained with given input values -> 16500 = 0.011*1500000.

FAQ

What is Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt?

Pre load in Bolt given Amount of Compression in Parts Joined by Bolt formula 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 and opposite of the preload and is represented as P_i = δ_c*k or Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt. Amount of Compression of Bolted Joint is the value by which the bolted joint system has been compressed & Combined Stiffness of Bolt is the resisting force per unit change in length of the bolt and the assembly.

How to calculate Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt?

Pre load in Bolt given Amount of Compression in Parts Joined by Bolt formula 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 and opposite of the preload is calculated using Pre Load in Bolt = Amount of Compression of Bolted Joint*Combined Stiffness of Bolt. To calculate Pre Load in Bolt given Amount of Compression in Parts Joined by Bolt, you need Amount of Compression of Bolted Joint (δ_c) & Combined Stiffness of Bolt (k). With our tool, you need to enter the respective value for Amount of Compression of Bolted Joint & Combined 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 Amount of Compression of Bolted Joint & Combined Stiffness of Bolt. 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 = Wrench Torque for Bolt Tightening/(0.2*Nominal Bolt Diameter)

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