Initial Preload due to Bolt tightening given kb and kc Calculator

✖Maximum force inside pressurized cylinder is the maximum load (force) inside the cylinder when the joint is on the verge of opening or the capacity of the cylinder to bear the load (N).ⓘ Maximum force inside pressurized cylinder [P_max]			+10% -10%
✖Stiffness of pressurized cylinder bolt is the extent to which the bolt resists deformation in response to an applied force.ⓘ Stiffness of pressurized cylinder bolt [k_b]			+10% -10%
✖Combined stiffness for gasket joint is the combined values of stiffness of cylinder cover, cylinder flange, and gasket.ⓘ Combined stiffness for gasket joint [k_c]			+10% -10%

✖Initial preload due to bolt tightening value is the tension created in a fastener when it is tightened.ⓘ Initial Preload due to Bolt tightening given kb and kc [P_l]

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Formula

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Initial Preload due to Bolt tightening given kb and kc

Formula

`"P"_{"l"} = "P"_{"max"}*("k"_{"b"}/("k"_{"c"}+"k"_{"b"}))`

Example

`"5235.211N"="25200N"*("1180kN/mm"/("4500kN/mm"+"1180kN/mm"))`

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Initial Preload due to Bolt tightening given kb and kc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt))
P_l = P_max*(k_b/(k_c+k_b))
This formula uses 4 Variables

Variables Used

Initial Preload Due to Bolt Tightening - (Measured in Newton) - Initial preload due to bolt tightening value is the tension created in a fastener when it is tightened.
Maximum force inside pressurized cylinder - (Measured in Newton) - Maximum force inside pressurized cylinder is the maximum load (force) inside the cylinder when the joint is on the verge of opening or the capacity of the cylinder to bear the load (N).
Stiffness of pressurized cylinder bolt - (Measured in Newton per Meter) - Stiffness of pressurized cylinder bolt is the extent to which the bolt resists deformation in response to an applied force.
Combined stiffness for gasket joint - (Measured in Newton per Meter) - Combined stiffness for gasket joint is the combined values of stiffness of cylinder cover, cylinder flange, and gasket.

STEP 1: Convert Input(s) to Base Unit

Maximum force inside pressurized cylinder: 25200 Newton --> 25200 Newton No Conversion Required
Stiffness of pressurized cylinder bolt: 1180 Kilonewton per Millimeter --> 1180000000 Newton per Meter (Check conversion here)
Combined stiffness for gasket joint: 4500 Kilonewton per Millimeter --> 4500000000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_l = P_max*(k_b/(k_c+k_b)) --> 25200*(1180000000/(4500000000+1180000000))

Evaluating ... ...

P_l = 5235.21126760563

STEP 3: Convert Result to Output's Unit

5235.21126760563 Newton --> No Conversion Required

FINAL ANSWER

5235.21126760563 ≈ 5235.211 Newton <-- Initial Preload Due to Bolt Tightening

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Pressure Vessels » Bolt of Pressurized Cylinder » Initial Preload due to Bolt tightening given kb and kc

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 10+ Bolt of Pressurized Cylinder Calculators

Thickness of Pressurized Cylinder

Go Thickness of pressurized cylinder wall = (Inner diameter of pressurized cylinder/2)*((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1)

Internal Diameter of Pressurized Cylinder

Go Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall/((((Permissible Tensile stress in pressurized cylinder+Internal pressure on cylinder)/(Permissible Tensile stress in pressurized cylinder-Internal pressure on cylinder))^(1/2))-1)

Maximum Load inside Pressurized Cylinder when Joint is on verge of opening

Go Maximum force inside pressurized cylinder = Initial Preload Due to Bolt Tightening*((Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)/Stiffness of pressurized cylinder bolt)

Initial Preload due to Bolt tightening given kb and kc

Go Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt))

Change in External Load due to Pressure Inside Cylinder given kb and kc

Go Increase in Bolt Load of Cylinder = External load on pressurized cylinder bolt*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt))

External Load on Bolt due to Internal Pressure given kb and kc

Go External load on pressurized cylinder bolt = Increase in Bolt Load of Cylinder*((Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)/Stiffness of pressurized cylinder bolt)

Change in External Load on Bolt due to Pressure Inside Cylinder

Go Increase in Bolt Load of Cylinder = Resultant load on pressurized cylinder bolt-Initial Preload Due to Bolt Tightening

Initial Preload due to Bolt tightening

Go Initial Preload Due to Bolt Tightening = Resultant load on pressurized cylinder bolt-Increase in Bolt Load of Cylinder

Resultant Load on Bolt given Pre load

Go Resultant load on pressurized cylinder bolt = Initial Preload Due to Bolt Tightening+Increase in Bolt Load of Cylinder

Decrease in Outer Diameter of Cylinder given Total deformation in Pressure Vessel

Go Decrease in Outer Diameter of Cylinder = Total Deformation of Pressure Vessel-Increase in Inner Diameter of Jacket

Initial Preload due to Bolt tightening given kb and kc Formula

What is a Pressure Vessel?

A pressure vessel is a container designed to hold gases or liquids at a pressure substantially different from the ambient pressure.

How to Calculate Initial Preload due to Bolt tightening given kb and kc?

Initial Preload due to Bolt tightening given kb and kc calculator uses Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)) to calculate the Initial Preload Due to Bolt Tightening, Initial Preload due to Bolt tightening given kb and kc formula is defined as the amount of load into the bolt before it is actually tightened. Initial Preload Due to Bolt Tightening is denoted by P_l symbol.

How to calculate Initial Preload due to Bolt tightening given kb and kc using this online calculator? To use this online calculator for Initial Preload due to Bolt tightening given kb and kc, enter Maximum force inside pressurized cylinder (P_max), Stiffness of pressurized cylinder bolt (k_b) & Combined stiffness for gasket joint (k_c) and hit the calculate button. Here is how the Initial Preload due to Bolt tightening given kb and kc calculation can be explained with given input values -> 5235.211 = 25200*(1180000000/(4500000000+1180000000)).

FAQ

What is Initial Preload due to Bolt tightening given kb and kc?

Initial Preload due to Bolt tightening given kb and kc formula is defined as the amount of load into the bolt before it is actually tightened and is represented as P_l = P_max*(k_b/(k_c+k_b)) or Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)). Maximum force inside pressurized cylinder is the maximum load (force) inside the cylinder when the joint is on the verge of opening or the capacity of the cylinder to bear the load (N), Stiffness of pressurized cylinder bolt is the extent to which the bolt resists deformation in response to an applied force & Combined stiffness for gasket joint is the combined values of stiffness of cylinder cover, cylinder flange, and gasket.

How to calculate Initial Preload due to Bolt tightening given kb and kc?

Initial Preload due to Bolt tightening given kb and kc formula is defined as the amount of load into the bolt before it is actually tightened is calculated using Initial Preload Due to Bolt Tightening = Maximum force inside pressurized cylinder*(Stiffness of pressurized cylinder bolt/(Combined stiffness for gasket joint+Stiffness of pressurized cylinder bolt)). To calculate Initial Preload due to Bolt tightening given kb and kc, you need Maximum force inside pressurized cylinder (P_max), Stiffness of pressurized cylinder bolt (k_b) & Combined stiffness for gasket joint (k_c). With our tool, you need to enter the respective value for Maximum force inside pressurized cylinder, Stiffness of pressurized cylinder bolt & Combined stiffness for gasket joint 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 Initial Preload Due to Bolt Tightening?

In this formula, Initial Preload Due to Bolt Tightening uses Maximum force inside pressurized cylinder, Stiffness of pressurized cylinder bolt & Combined stiffness for gasket joint. We can use 1 other way(s) to calculate the same, which is/are as follows -

Initial Preload Due to Bolt Tightening = Resultant load on pressurized cylinder bolt-Increase in Bolt Load of Cylinder

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