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

GoNominal Diameter of Gasket Joint Formula

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

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

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

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

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

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

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

30.3009 = \sqrt{1180 \cdot 4 \cdot \frac{55}{3.1416 \cdot 90000}}

30.3009mm = \sqrt{1180kN/mm \cdot 4 \cdot \frac{55mm}{3.1416 \cdot 90000N/mm²}}

30.3009 = \sqrt{1180 \cdot 4 \cdot \frac{55}{3.1416 \cdot 90000}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{1180kN/mm \cdot 4 \cdot \frac{55mm}{π \cdot 90000N/mm²}}

Next Step Substitute values of Constants

∴

d = \sqrt{1180kN/mm \cdot 4 \cdot \frac{55mm}{3.1416 \cdot 90000N/mm²}}

Next Step Convert Units

∴

d = \sqrt{1.2E+9N/m \cdot 4 \cdot \frac{0.055m}{3.1416 \cdot 9E+10Pa}}

Next Step Prepare to Evaluate

∴

d = \sqrt{1.2E+9 \cdot 4 \cdot \frac{0.055}{3.1416 \cdot 9E+10}}

Next Step Evaluate

∴

d = 0.030300943596109m

Next Step Convert to Output's Unit

∴

d = 30.300943596109mm

LAST Step Rounding Answer

∴

d = 30.3009mm

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

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Nominal Bolt Diameter on Cylinder

Go Nominal Diameter of Gasket Joint

d = \sqrt{K \cdot \frac{t}{2 \cdot π \cdot E}}

Other formulas in Gasket Joint category

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

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

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

Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus evaluator uses Nominal Bolt Diameter on Cylinder = sqrt(Stiffness of Pressurized Cylinder Bolt*4*Total Thickness of parts held together by Bolt/(pi*Modulus of Elasticity for Gasket Joint)) to evaluate the Nominal Bolt Diameter on Cylinder, Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus formula is defined as the diameter equal to the external diameter of the threads or the overall diameter of the bolt. Nominal Bolt Diameter on Cylinder is denoted by d symbol.

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

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

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

The formula of Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus is expressed as Nominal Bolt Diameter on Cylinder = sqrt(Stiffness of Pressurized Cylinder Bolt*4*Total Thickness of parts held together by Bolt/(pi*Modulus of Elasticity for Gasket Joint)). Here is an example- 30300.94 = sqrt(1180000000*4*0.055/(pi*90000000000)).

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

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

What are the other ways to Calculate Nominal Bolt Diameter on Cylinder?

Here are the different ways to Calculate Nominal Bolt Diameter on Cylinder-

Nominal Bolt Diameter on Cylinder=sqrt(Approximate Stiffness of Gasketed Joint*Thickness of Member under Compression/(2*pi*Modulus of Elasticity for Gasket Joint))

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

No, the Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus, measured in Length cannot be negative.

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

Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus can be measured.

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

​GoNominal Diameter of Gasket Joint Formula

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

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

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

Other Formulas to find Nominal Bolt Diameter on Cylinder

Other formulas in Gasket Joint category

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

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

Variable Name

GoNominal Diameter of Gasket Joint Formula