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Initial Preload due to Bolt tightening given kb and kc Formula

GoInitial Preload due to Bolt tightening Formula

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Initial preload due to bolt tightening value is the tension created in a fastener when it is tightened. Check FAQs

P l = P max \cdot (\frac{k b}{k c + k b})

P_l - Initial Preload Due to Bolt Tightening?P_max - Maximum Force Inside Pressurized Cylinder?k_b - Stiffness of Pressurized Cylinder Bolt?k_c - Combined Stiffness for Gasket Joint?

Initial Preload due to Bolt tightening given kb and kc Example

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Here is how the Initial Preload due to Bolt tightening given kb and kc equation looks like with Values.

Here is how the Initial Preload due to Bolt tightening given kb and kc equation looks like with Units.

Here is how the Initial Preload due to Bolt tightening given kb and kc equation looks like.

5235.2113 = 25200 \cdot (\frac{1180}{4500 + 1180})

5235.2113N = 25200N \cdot (\frac{1180kN/mm}{4500kN/mm + 1180kN/mm})

5235.2113 = 25200 \cdot (\frac{1180}{4500 + 1180})

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Initial Preload due to Bolt tightening given kb and kc Solution

Follow our step by step solution on how to calculate Initial Preload due to Bolt tightening given kb and kc?

FIRST Step Consider the formula

P l = P max \cdot (\frac{k b}{k c + k b})

Next Step Substitute values of Variables

∴

P l = 25200N \cdot (\frac{1180kN/mm}{4500kN/mm + 1180kN/mm})

Next Step Convert Units

∴

P l = 25200N \cdot (\frac{1.2E+9N/m}{4.5E+9N/m + 1.2E+9N/m})

Next Step Prepare to Evaluate

∴

P l = 25200 \cdot (\frac{1.2E+9}{4.5E+9 + 1.2E+9})

Next Step Evaluate

∴

P l = 5235.21126760563N

LAST Step Rounding Answer

∴

P l = 5235.2113N

Initial Preload due to Bolt tightening given kb and kc Formula Elements

Variables

Initial Preload Due to Bolt Tightening

Initial preload due to bolt tightening value is the tension created in a fastener when it is tightened.

Symbol: P_l

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Initial Preload Due to Bolt Tightening

Maximum Force Inside Pressurized Cylinder

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).

Symbol: P_max

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Maximum Force Inside Pressurized Cylinder

Stiffness of Pressurized Cylinder Bolt

Stiffness of pressurized cylinder bolt is the extent to which the bolt resists deformation in response to an applied force.

Symbol: k_b

Measurement: Stiffness ConstantUnit: kN/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Pressurized Cylinder Bolt

Combined Stiffness for Gasket Joint

Combined stiffness for gasket joint is the combined values of stiffness of cylinder cover, cylinder flange, and gasket.

Symbol: k_c

Measurement: Stiffness ConstantUnit: kN/mm

Note: Value should be greater than 0.

Formulas to find Combined Stiffness for Gasket Joint

Other Formulas to find Initial Preload Due to Bolt Tightening

Go Initial Preload due to Bolt tightening

P l = P b - ΔP i

Other formulas in Bolt of Pressurized Cylinder category

Go Thickness of Pressurized Cylinder

t w = (\frac{d i}{2}) \cdot (({(\frac{σ t + P i}{σ t - P i})}^{\frac{1}{2}}) - 1)

Go Internal Diameter of Pressurized Cylinder

d i = 2 \cdot \frac{t w}{({(\frac{σ t + P i}{σ t - P i})}^{\frac{1}{2}}) - 1}

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

δ c = δ - δ j

Go Resultant Load on Bolt given Pre load

P b = P l + ΔP i

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

Initial Preload due to Bolt tightening given kb and kc evaluator 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 evaluate 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 evaluate Initial Preload due to Bolt tightening given kb and kc using this online evaluator? To use this online evaluator 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.

FAQs on Initial Preload due to Bolt tightening given kb and kc

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

The formula of Initial Preload due to Bolt tightening given kb and kc is expressed as 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)). Here is an example- 5235.211 = 25200*(1180000000/(4500000000+1180000000)).

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

With Maximum Force Inside Pressurized Cylinder (P_max), Stiffness of Pressurized Cylinder Bolt (k_b) & Combined Stiffness for Gasket Joint (k_c) we can find Initial Preload due to Bolt tightening given kb and kc using the formula - 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)).

What are the other ways to Calculate Initial Preload Due to Bolt Tightening?

Here are the different ways to Calculate Initial Preload Due to Bolt Tightening-

Initial Preload Due to Bolt Tightening=Resultant Load on Pressurized Cylinder Bolt-Increase in Bolt Load of Cylinder

Can the Initial Preload due to Bolt tightening given kb and kc be negative?

No, the Initial Preload due to Bolt tightening given kb and kc, measured in Force cannot be negative.

Which unit is used to measure Initial Preload due to Bolt tightening given kb and kc?

Initial Preload due to Bolt tightening given kb and kc is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Initial Preload due to Bolt tightening given kb and kc can be measured.

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Initial Preload due to Bolt tightening given kb and kc Formula

​GoInitial Preload due to Bolt tightening Formula

Initial Preload due to Bolt tightening given kb and kc Example

Initial Preload due to Bolt tightening given kb and kc Solution

Initial Preload due to Bolt tightening given kb and kc Formula Elements

Other Formulas to find Initial Preload Due to Bolt Tightening

Other formulas in Bolt of Pressurized Cylinder category

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

FAQs on Initial Preload due to Bolt tightening given kb and kc

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GoInitial Preload due to Bolt tightening Formula