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

✖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%
✖The Total thickness of parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.ⓘ Total Thickness of parts held together by Bolt [l]			+10% -10%
✖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.ⓘ Modulus of Elasticity for Gasket Joint [E]			+10% -10%

✖Nominal Bolt Diameter on Cylinder is the diameter equal to the external diameter of the threads or the overall diameter of the part.ⓘ Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus [d]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
d = sqrt(k_b*4*l/(pi*E))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Nominal Bolt Diameter on Cylinder - (Measured in Meter) - Nominal Bolt Diameter on Cylinder is the diameter equal to the external diameter of the threads or the overall diameter of the part.
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.
Total Thickness of parts held together by Bolt - (Measured in Meter) - The Total thickness of parts held together by Bolt is the sum of the thickness of the parts held together by a bolt.
Modulus of Elasticity for Gasket Joint - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Pressurized Cylinder Bolt: 1180 Kilonewton per Millimeter --> 1180000000 Newton per Meter (Check conversion here)
Total Thickness of parts held together by Bolt: 55 Millimeter --> 0.055 Meter (Check conversion here)
Modulus of Elasticity for Gasket Joint: 90000 Newton per Square Millimeter --> 90000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(k_b*4*l/(pi*E)) --> sqrt(1180000000*4*0.055/(pi*90000000000))

Evaluating ... ...

d = 0.030300943596109

STEP 3: Convert Result to Output's Unit

0.030300943596109 Meter -->30.300943596109 Millimeter (Check conversion here)

FINAL ANSWER

30.300943596109 ≈ 30.30094 Millimeter <-- Nominal Bolt Diameter on Cylinder

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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

LaTeX Go 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))

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

LaTeX Go 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)

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

LaTeX Go Total Thickness of parts held together by Bolt = (pi*(Nominal Bolt Diameter on Cylinder^2)/4)*(Modulus of Elasticity for Gasket Joint/Stiffness of Pressurized Cylinder Bolt)

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

LaTeX Go Modulus of Elasticity for Gasket Joint = Stiffness of Pressurized Cylinder Bolt*Total Thickness of parts held together by Bolt/(pi*(Nominal Bolt Diameter on Cylinder^2)/4)

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

LaTeX Go

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))
d = sqrt(k_b*4*l/(pi*E))

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 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 calculator 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 calculate 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 calculate Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus using this online calculator? To use this online calculator 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. Here is how the Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus calculation can be explained with given input values -> 30300.94 = sqrt(1180000000*4*0.055/(pi*90000000000)).

FAQ

What is 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 formula is defined as the diameter equal to the external diameter of the threads or the overall diameter of the bolt and is represented as d = sqrt(k_b*4*l/(pi*E)) or 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)). Stiffness of pressurized cylinder bolt is the extent to which the bolt resists deformation in response to an applied force, The Total thickness of parts held together by Bolt is the sum of the thickness of the parts held together by a bolt & 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.

How to calculate 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 formula is defined as the diameter equal to the external diameter of the threads or the overall diameter of the bolt is calculated using 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 calculate Nominal Diameter of Gasket Joint Bolt given Stiffness, total thickness and Young's Modulus, you need Stiffness of Pressurized Cylinder Bolt (k_b), Total Thickness of parts held together by Bolt (l) & Modulus of Elasticity for Gasket Joint (E). With our tool, you need to enter the respective value for Stiffness of Pressurized Cylinder Bolt, Total Thickness of parts held together by Bolt & Modulus of Elasticity 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 Nominal Bolt Diameter on Cylinder?

In this formula, Nominal Bolt Diameter on Cylinder uses Stiffness of Pressurized Cylinder Bolt, Total Thickness of parts held together by Bolt & Modulus of Elasticity for Gasket Joint. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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