Change in external load on bolt given external load and stiffness of boad Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts))
ΔPi = Pext*(kb'/(kb'+kc'))
This formula uses 4 Variables
Variables Used
Change in External Load - (Measured in Newton) - Change in External Load is the amount of variation in the externally applied force or load.
External Force on Bolt - (Measured in Newton) - The External Force on Bolt is defined as the forces caused by an external agent present outside of the system.
Stiffness of Threaded Bolt - (Measured in Newton per Meter) - Stiffness of Threaded Bolt is the extent to which the bolt resists deformation in response to an applied force.
Combined Stiffness of Gasket and Parts - (Measured in Newton per Meter) - The Combined Stiffness of Gasket and Parts is the combined stiffness of two parts joined by a bolted joint and the gasket between them.
STEP 1: Convert Input(s) to Base Unit
External Force on Bolt: 6000 Newton --> 6000 Newton No Conversion Required
Stiffness of Threaded Bolt: 75000 Newton per Millimeter --> 75000000 Newton per Meter (Check conversion here)
Combined Stiffness of Gasket and Parts: 1200 Newton per Millimeter --> 1200000 Newton per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔPi = Pext*(kb'/(kb'+kc')) --> 6000*(75000000/(75000000+1200000))
Evaluating ... ...
ΔPi = 5905.51181102362
STEP 3: Convert Result to Output's Unit
5905.51181102362 Newton --> No Conversion Required
FINAL ANSWER
5905.51181102362 5905.512 Newton <-- Change in External Load
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology (NIT), Tiruchirapalli
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17 Structural Response and Force Analysis Calculators

Change in external load on bolt given external load and stiffness of boad
Go Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts))
Tensile Stress Area of Threaded fastener
Go Tensile stress area of threaded fastener = (pi/4)*(((Pitch Diameter of External Thread+Minor Diameter of External Thread)/2)^2)
Shear Stress at Core Diameter of Threaded Fastener given Tensile Force
Go Shear stress in bolt = Tensile Force on Bolt/(pi*Core Diameter of Threaded Bolt*Height of nut)
Tensile Force acting on Bolt given Shear Stress
Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
Tensile Force acting on Bolt
Go Tensile Force on Bolt = (pi*Shear stress in bolt*Core Diameter of Threaded Bolt*Height of nut)
Tensile Stress in Core Cross-Section of Bolt given Tensile Force and Core Diameter
Go Tensile stress in bolt = Tensile Force on Bolt/((pi/4)*(Core Diameter of Threaded Bolt^2))
Tensile Force acting on Bolt given Tensile Stress
Go Tensile Force on Bolt = Tensile stress in bolt*pi*(Core Diameter of Threaded Bolt^2)/4
Change in Load on Bolt given Resultant Load and Initial Preload in Bolt
Go Change in External Load = Resultant load on bolt-Initial preload in bolt due to tightening of nut
Initial Preload in Bolt due to Tightening
Go Initial preload in bolt due to tightening of nut = Resultant load on bolt-Change in External Load
Resultant Load on Bolt
Go Resultant load on bolt = Initial preload in bolt due to tightening of nut+Change in External Load
Shear Stress at Core Diameter of Threaded Fasteners given Tensile Yield Strength
Go Shear stress in bolt = Tensile yield strength of bolt/(2*Factor of Safety for Bolt)
Tensile Stress in Core Cross-Section of Bolt given Tensile Yield Strength
Go Tensile stress in bolt = Tensile yield strength of bolt/Factor of Safety for Bolt
Tensile Yield Strength of Bolt
Go Tensile yield strength of bolt = Factor of Safety for Bolt*Tensile stress in bolt
Shear Stress at Core Diameter given Shear Yield Strength of Threaded Fastener
Go Shear stress in bolt = Shear yield strength of bolt/Factor of Safety for Bolt
Primary Shear Force on each Bolt
Go Primary shear load on bolt = External Force on Bolt/Number of Bolts in Joint
External Force on Bolt
Go External Force on Bolt = Number of Bolts in Joint*Primary shear load on bolt
Ultimate Tensile Strength of Bolt
Go Ultimate tensile strength of bolt = 2*Endurance limit of rotating beam bolt specimen

Change in external load on bolt given external load and stiffness of boad Formula

Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts))
ΔPi = Pext*(kb'/(kb'+kc'))

What is a fastener?

A fastener or fastening is a hardware device that mechanically joins or affixes two or more objects together. In general, fasteners are used to create non-permanent joints; that is, joints that can be removed or dismantled without damaging the joining components.

How to Calculate Change in external load on bolt given external load and stiffness of boad?

Change in external load on bolt given external load and stiffness of boad calculator uses Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts)) to calculate the Change in External Load, Change in external load on bolt given external load and stiffness of boad formula is defined as the amount of change in the externally applied load onto a bolt due to the combined stiffness parameter. Change in External Load is denoted by ΔPi symbol.

How to calculate Change in external load on bolt given external load and stiffness of boad using this online calculator? To use this online calculator for Change in external load on bolt given external load and stiffness of boad, enter External Force on Bolt (Pext), Stiffness of Threaded Bolt (kb') & Combined Stiffness of Gasket and Parts (kc') and hit the calculate button. Here is how the Change in external load on bolt given external load and stiffness of boad calculation can be explained with given input values -> 5905.512 = 6000*(75000000/(75000000+1200000)).

FAQ

What is Change in external load on bolt given external load and stiffness of boad?
Change in external load on bolt given external load and stiffness of boad formula is defined as the amount of change in the externally applied load onto a bolt due to the combined stiffness parameter and is represented as ΔPi = Pext*(kb'/(kb'+kc')) or Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts)). The External Force on Bolt is defined as the forces caused by an external agent present outside of the system, Stiffness of Threaded Bolt is the extent to which the bolt resists deformation in response to an applied force & The Combined Stiffness of Gasket and Parts is the combined stiffness of two parts joined by a bolted joint and the gasket between them.
How to calculate Change in external load on bolt given external load and stiffness of boad?
Change in external load on bolt given external load and stiffness of boad formula is defined as the amount of change in the externally applied load onto a bolt due to the combined stiffness parameter is calculated using Change in External Load = External Force on Bolt*(Stiffness of Threaded Bolt/(Stiffness of Threaded Bolt+Combined Stiffness of Gasket and Parts)). To calculate Change in external load on bolt given external load and stiffness of boad, you need External Force on Bolt (Pext), Stiffness of Threaded Bolt (kb') & Combined Stiffness of Gasket and Parts (kc'). With our tool, you need to enter the respective value for External Force on Bolt, Stiffness of Threaded Bolt & Combined Stiffness of Gasket and Parts 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 Change in External Load?
In this formula, Change in External Load uses External Force on Bolt, Stiffness of Threaded Bolt & Combined Stiffness of Gasket and Parts. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Change in External Load = Resultant load on bolt-Initial preload in bolt due to tightening of nut
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