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Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Formula

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

k b = (π \cdot \frac{d^{2}}{4}) \cdot (\frac{E}{l})

k_b - Stiffness of Pressurized Cylinder Bolt?d - Nominal Bolt Diameter on Cylinder?E - Modulus of Elasticity for Gasket Joint?l - Total Thickness of parts held together by Bolt?π - Archimedes' constant?

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Example

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Here is how the Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus equation looks like with Values.

Here is how the Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus equation looks like with Units.

Here is how the Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus equation looks like.

289.1693 = (3.1416 \cdot \frac{15^{2}}{4}) \cdot (\frac{90000}{55})

289.1693kN/mm = (3.1416 \cdot \frac{{15mm}^{2}}{4}) \cdot (\frac{90000N/mm²}{55mm})

289.1693 = (3.1416 \cdot \frac{15^{2}}{4}) \cdot (\frac{90000}{55})

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Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Solution

Follow our step by step solution on how to calculate Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

FIRST Step Consider the formula

k b = (π \cdot \frac{d^{2}}{4}) \cdot (\frac{E}{l})

Next Step Substitute values of Variables

∴

k b = (π \cdot \frac{{15mm}^{2}}{4}) \cdot (\frac{90000N/mm²}{55mm})

Next Step Substitute values of Constants

∴

k b = (3.1416 \cdot \frac{{15mm}^{2}}{4}) \cdot (\frac{90000N/mm²}{55mm})

Next Step Convert Units

∴

k b = (3.1416 \cdot \frac{{0.015m}^{2}}{4}) \cdot (\frac{9E+10Pa}{0.055m})

Next Step Prepare to Evaluate

∴

k b = (3.1416 \cdot \frac{{0.015}^{2}}{4}) \cdot (\frac{9E+10}{0.055})

Next Step Evaluate

∴

k b = 289169323.796333N/m

Next Step Convert to Output's Unit

∴

k b = 289.169323796333kN/mm

LAST Step Rounding Answer

∴

k b = 289.1693kN/mm

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Formula Elements

Variables

Constants

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

Nominal Bolt Diameter on Cylinder

Nominal Bolt Diameter on Cylinder is the diameter equal to the external diameter of the threads or the overall diameter of the part.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal Bolt Diameter on Cylinder

Modulus of Elasticity for Gasket Joint

Modulus of elasticity for gasket joint is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity for Gasket Joint

Total Thickness of parts held together by Bolt

The Total thickness of parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Thickness of parts held together by Bolt

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Gasket Joint category

Go Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus

d = \sqrt{k b \cdot 4 \cdot \frac{l}{π \cdot E}}

Go Total Thickness of Gasket Joint given Stiffness, Nominal Diameter and Young's Modulus

l = (π \cdot \frac{d^{2}}{4}) \cdot (\frac{E}{k b})

Go Young's Modulus of Gasket Joint given Stiffness, Total Thickness and Nominal Diameter

E = k b \cdot \frac{l}{π \cdot \frac{d^{2}}{4}}

Go Total Deformation of Pressure Vessel given Increase in Inner Diameter of Jacket

δ = δ j + δ c

How to Evaluate Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus evaluator uses Stiffness of Pressurized Cylinder Bolt = (pi*(Nominal Bolt Diameter on Cylinder^2)/4)*(Modulus of Elasticity for Gasket Joint/Total Thickness of parts held together by Bolt) to evaluate the Stiffness of Pressurized Cylinder Bolt, Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus formula is defined as the amount of force required to extend a cylinder flange by unit length. Stiffness of Pressurized Cylinder Bolt is denoted by k_b symbol.

How to evaluate Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus using this online evaluator? To use this online evaluator for Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus, enter Nominal Bolt Diameter on Cylinder (d), Modulus of Elasticity for Gasket Joint (E) & Total Thickness of parts held together by Bolt (l) and hit the calculate button.

FAQs on Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus

What is the formula to find Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

The formula of Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus is expressed as Stiffness of Pressurized Cylinder Bolt = (pi*(Nominal Bolt Diameter on Cylinder^2)/4)*(Modulus of Elasticity for Gasket Joint/Total Thickness of parts held together by Bolt). Here is an example- 0.000289 = (pi*(0.015^2)/4)*(90000000000/0.055).

How to calculate Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

With Nominal Bolt Diameter on Cylinder (d), Modulus of Elasticity for Gasket Joint (E) & Total Thickness of parts held together by Bolt (l) we can find Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus using the formula - Stiffness of Pressurized Cylinder Bolt = (pi*(Nominal Bolt Diameter on Cylinder^2)/4)*(Modulus of Elasticity for Gasket Joint/Total Thickness of parts held together by Bolt). This formula also uses Archimedes' constant .

Can the Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus be negative?

No, the Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus, measured in Stiffness Constant cannot be negative.

Which unit is used to measure Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus is usually measured using the Kilonewton per Millimeter[kN/mm] for Stiffness Constant. Newton per Meter[kN/mm], Newton per Millimeter[kN/mm] are the few other units in which Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus can be measured.

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Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Formula

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Example

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Solution

Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus Formula Elements

Other formulas in Gasket Joint category

How to Evaluate Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus?

FAQs on Stiffness of Bolt of Gasket Joint given Nominal Diameter, Total Thickness, and Young's Modulus

Variable Name