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Minor Diameter of Bolt given Working Strength Formula

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The Minor Diameter of Metallic Gasket Bolt is the core diameter of the bolt used in with the metallic gasket. Check FAQs

d 2 = (\frac{\sqrt{({(d 1)}^{2} - {(d gb)}^{2}) \cdot p s}}{\sqrt{(i \cdot 68.7)}}) + \frac{4 \cdot F μ}{3.14 \cdot i \cdot 68.7}

d₂ - Minor Diameter of Metallic Gasket Bolt?d₁ - Outside Diameter of Seal Ring?d_gb - Nominal Diameter of Metallic Gasket Bolt?p_s - Fluid Pressure on Metallic Gasket Seal?i - Number of Bolts in Metallic Gasket Seal?F_μ - Friction Force in Metallic Gasket?

Minor Diameter of Bolt given Working Strength Example

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Here is how the Minor Diameter of Bolt given Working Strength equation looks like with Values.

Here is how the Minor Diameter of Bolt given Working Strength equation looks like with Units.

Here is how the Minor Diameter of Bolt given Working Strength equation looks like.

5422.2132 = (\frac{\sqrt{({(6)}^{2} - {(4)}^{2}) \cdot 4.25}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500}{3.14 \cdot 2 \cdot 68.7}

5422.2132mm = (\frac{\sqrt{({(6mm)}^{2} - {(4mm)}^{2}) \cdot 4.25MPa}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500N}{3.14 \cdot 2 \cdot 68.7}

5422.2132 = (\frac{\sqrt{({(6)}^{2} - {(4)}^{2}) \cdot 4.25}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500}{3.14 \cdot 2 \cdot 68.7}

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Home » Physics » Mechanical » Design of Machine Elements » Minor Diameter of Bolt given Working Strength

Minor Diameter of Bolt given Working Strength Solution

Follow our step by step solution on how to calculate Minor Diameter of Bolt given Working Strength?

FIRST Step Consider the formula

d 2 = (\frac{\sqrt{({(d 1)}^{2} - {(d gb)}^{2}) \cdot p s}}{\sqrt{(i \cdot 68.7)}}) + \frac{4 \cdot F μ}{3.14 \cdot i \cdot 68.7}

Next Step Substitute values of Variables

∴

d 2 = (\frac{\sqrt{({(6mm)}^{2} - {(4mm)}^{2}) \cdot 4.25MPa}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500N}{3.14 \cdot 2 \cdot 68.7}

Next Step Convert Units

∴

d 2 = (\frac{\sqrt{({(0.006m)}^{2} - {(0.004m)}^{2}) \cdot 4.3E+6Pa}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500N}{3.14 \cdot 2 \cdot 68.7}

Next Step Prepare to Evaluate

∴

d 2 = (\frac{\sqrt{({(0.006)}^{2} - {(0.004)}^{2}) \cdot 4.3E+6}}{\sqrt{(2 \cdot 68.7)}}) + \frac{4 \cdot 500}{3.14 \cdot 2 \cdot 68.7}

Next Step Evaluate

∴

d 2 = 5.42221322628452m

Next Step Convert to Output's Unit

∴

d 2 = 5422.21322628452mm

LAST Step Rounding Answer

∴

d 2 = 5422.2132mm

Minor Diameter of Bolt given Working Strength Formula Elements

Variables

Functions

Minor Diameter of Metallic Gasket Bolt

The Minor Diameter of Metallic Gasket Bolt is the core diameter of the bolt used in with the metallic gasket.

Symbol: d₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Outside Diameter of Seal Ring

The Outside Diameter of Seal Ring is any straight line segment that passes through the center of the ring and whose endpoints lie on the ring.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Nominal Diameter of Metallic Gasket Bolt

Nominal diameter of metallic gasket bolt is the major diameter of the bolt used in with the metallic gasket.

Symbol: d_gb

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Fluid Pressure on Metallic Gasket Seal

The Fluid Pressure on Metallic Gasket Seal refers to the pressure exerted by the fluid onto the metallic gasket seal.

Symbol: p_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Number of Bolts in Metallic Gasket Seal

Number of bolts in metallic gasket seal is simply defined as the number of bolts that are under our consideration.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Friction Force in Metallic Gasket

Friction force in metallic gasket is the force arising in the metallic gasket due to the friction between the surfaces.

Symbol: F_μ

Measurement: ForceUnit: N

Note: Value should be greater than 0.

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)

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Other formulas in Metallic Gaskets category

Go Frictional Force given Minor diameter of bolt

F μ = \frac{(d 2 - (\frac{\sqrt{({(d 1)}^{2} - {(d gb)}^{2}) \cdot p s}}{\sqrt{(i \cdot F c)}})) \cdot 3.14 \cdot i \cdot F c}{4}

How to Evaluate Minor Diameter of Bolt given Working Strength?

Minor Diameter of Bolt given Working Strength evaluator uses Minor Diameter of Metallic Gasket Bolt = (sqrt(((Outside Diameter of Seal Ring)^2-(Nominal Diameter of Metallic Gasket Bolt)^2)*Fluid Pressure on Metallic Gasket Seal)/sqrt((Number of Bolts in Metallic Gasket Seal*68.7)))+(4*Friction Force in Metallic Gasket)/(3.14*Number of Bolts in Metallic Gasket Seal*68.7) to evaluate the Minor Diameter of Metallic Gasket Bolt, The Minor Diameter of Bolt given Working Strength is defined as any straight line segment that passes through the center of the ring and whose endpoints lie on the ring. Minor Diameter of Metallic Gasket Bolt is denoted by d₂ symbol.

How to evaluate Minor Diameter of Bolt given Working Strength using this online evaluator? To use this online evaluator for Minor Diameter of Bolt given Working Strength, enter Outside Diameter of Seal Ring (d₁), Nominal Diameter of Metallic Gasket Bolt (d_gb), Fluid Pressure on Metallic Gasket Seal (p_s), Number of Bolts in Metallic Gasket Seal (i) & Friction Force in Metallic Gasket (F_μ) and hit the calculate button.

FAQs on Minor Diameter of Bolt given Working Strength

What is the formula to find Minor Diameter of Bolt given Working Strength?

The formula of Minor Diameter of Bolt given Working Strength is expressed as Minor Diameter of Metallic Gasket Bolt = (sqrt(((Outside Diameter of Seal Ring)^2-(Nominal Diameter of Metallic Gasket Bolt)^2)*Fluid Pressure on Metallic Gasket Seal)/sqrt((Number of Bolts in Metallic Gasket Seal*68.7)))+(4*Friction Force in Metallic Gasket)/(3.14*Number of Bolts in Metallic Gasket Seal*68.7). Here is an example- 832888.3 = (sqrt(((0.006)^2-(0.004)^2)*4250000)/sqrt((2*68.7)))+(4*500)/(3.14*2*68.7).

How to calculate Minor Diameter of Bolt given Working Strength?

With Outside Diameter of Seal Ring (d₁), Nominal Diameter of Metallic Gasket Bolt (d_gb), Fluid Pressure on Metallic Gasket Seal (p_s), Number of Bolts in Metallic Gasket Seal (i) & Friction Force in Metallic Gasket (F_μ) we can find Minor Diameter of Bolt given Working Strength using the formula - Minor Diameter of Metallic Gasket Bolt = (sqrt(((Outside Diameter of Seal Ring)^2-(Nominal Diameter of Metallic Gasket Bolt)^2)*Fluid Pressure on Metallic Gasket Seal)/sqrt((Number of Bolts in Metallic Gasket Seal*68.7)))+(4*Friction Force in Metallic Gasket)/(3.14*Number of Bolts in Metallic Gasket Seal*68.7). This formula also uses Square Root (sqrt) function(s).

Can the Minor Diameter of Bolt given Working Strength be negative?

No, the Minor Diameter of Bolt given Working Strength, measured in Length cannot be negative.

Which unit is used to measure Minor Diameter of Bolt given Working Strength?

Minor Diameter of Bolt given Working Strength is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Minor Diameter of Bolt given Working Strength can be measured.

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