Diameter of Pin of Knuckle Joint given Tensile Stress in Eye Calculator

✖Outer Diameter of Eye of Knuckle Joint is the diameter of the outer surface of the eye of the knuckle joint into which the knuckle pin is inserted.ⓘ Outer Diameter of Eye of Knuckle Joint [d_o]			+10% -10%
✖Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle joint can bear or is acted upon or exerts.ⓘ Load on Knuckle Joint [L]			+10% -10%
✖Thickess of Eye of Knuckle Joint is the thickness of the eye of the nonforked part of the knuckle joint, measured perpendicular to the eye hole radius.ⓘ Thickess of Eye of Knuckle Joint [b]			+10% -10%
✖Tensile Stress in Eye of Knuckle Joint is the amount of tensile stress induced into the eye of the knuckle joint which tends to fail the eye in tension.ⓘ Tensile Stress in Eye of Knuckle Joint [σ_teye]			+10% -10%

✖Diameter of Knuckle Pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint.ⓘ Diameter of Pin of Knuckle Joint given Tensile Stress in Eye [d]

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Formula

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Diameter of Pin of Knuckle Joint given Tensile Stress in Eye

Formula

`"d" = "d"_{"o"}-"L"/("b"*("σ"_{"t"}"eye"))`

Example

`"52.22222mm"="80mm"-"50000N"/("40mm"*"45N/mm²")`

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Diameter of Pin of Knuckle Joint given Tensile Stress in Eye Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint)
d = d_o-L/(b*σ_teye)
This formula uses 5 Variables

Variables Used

Diameter of Knuckle Pin - (Measured in Meter) - Diameter of Knuckle Pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint.
Outer Diameter of Eye of Knuckle Joint - (Measured in Meter) - Outer Diameter of Eye of Knuckle Joint is the diameter of the outer surface of the eye of the knuckle joint into which the knuckle pin is inserted.
Load on Knuckle Joint - (Measured in Newton) - Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle joint can bear or is acted upon or exerts.
Thickess of Eye of Knuckle Joint - (Measured in Meter) - Thickess of Eye of Knuckle Joint is the thickness of the eye of the nonforked part of the knuckle joint, measured perpendicular to the eye hole radius.
Tensile Stress in Eye of Knuckle Joint - (Measured in Pascal) - Tensile Stress in Eye of Knuckle Joint is the amount of tensile stress induced into the eye of the knuckle joint which tends to fail the eye in tension.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Eye of Knuckle Joint: 80 Millimeter --> 0.08 Meter (Check conversion here)
Load on Knuckle Joint: 50000 Newton --> 50000 Newton No Conversion Required
Thickess of Eye of Knuckle Joint: 40 Millimeter --> 0.04 Meter (Check conversion here)
Tensile Stress in Eye of Knuckle Joint: 45 Newton per Square Millimeter --> 45000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = d_o-L/(b*σ_teye) --> 0.08-50000/(0.04*45000000)

Evaluating ... ...

d = 0.0522222222222222

STEP 3: Convert Result to Output's Unit

0.0522222222222222 Meter -->52.2222222222222 Millimeter (Check conversion here)

FINAL ANSWER

52.2222222222222 ≈ 52.22222 Millimeter <-- Diameter of Knuckle Pin

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Coupling » Design of Knuckle Joint » Pin » Diameter of Pin of Knuckle Joint given Tensile Stress in Eye

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 13 Pin Calculators

Diameter of Knuckle Pin given Bending Stress in Pin

Go Diameter of Knuckle Pin = ((32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Bending Stress in Knuckle Pin))^(1/3)

Diameter of Pin of Knuckle Joint given Tensile Stress in Fork

Go Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Tensile Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint)

Diameter of Pin of Knuckle Joint given Shear Stress in Fork

Go Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint)

Diameter of Pin of Knuckle Joint given Tensile Stress in Eye

Go Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint)

Diameter of Pin of Knuckle Joint given Shear Stress in Eye

Go Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Shear Stress in Eye of Knuckle Joint)

Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin

Go Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin

Go Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin))

Diameter of Pin of Knuckle Joint given Compressive Stress in Eye End Portion of Pin

Go Diameter of Knuckle Pin = Load on Knuckle Joint/(Compressive Stress in Knuckle Pin*Thickess of Eye of Knuckle Joint)

Length of Pin of Knuckle Joint in Contact with Eye End

Go Length of Knuckle Pin in Eye End = Load on Knuckle Joint/(Compressive Stress in Knuckle Pin*Diameter of Knuckle Pin)

Diameter of Knuckle Pin given Bending Moment in Pin

Go Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)

Diameter of Pin of Knuckle Joint given Outer Diameter of Eye

Go Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint/2

Diameter of Pinhead of Knuckle Joint given Diameter of Pin

Go Diameter of Knuckle Pin Head = 1.5*Diameter of Knuckle Pin

Diameter of Pin of Knuckle Joint given Diameter of Pinhead

Go Diameter of Knuckle Pin = Diameter of Knuckle Pin Head/1.5

Diameter of Pin of Knuckle Joint given Tensile Stress in Eye Formula

Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint)
d = d_o-L/(b*σ_teye)

Parts of the knuckle joint

A knuckle joint always has a fork end, an eye end, and a pin. Typically, these are all specially made parts although standard rod ends are sometimes used for the eye end. This has the advantage that a rod end allows some additional rotational movement perpendicular to the pin axis, providing further protection against bending stress.
Various types of pins can also be used. The most common is a special pin with a shoulder at one end and a cross hole at the other to accept a collar and split pint. For large structures, such as bridges, cold rivets were historically used. The pivot may also be bolted.

How to Calculate Diameter of Pin of Knuckle Joint given Tensile Stress in Eye?

Diameter of Pin of Knuckle Joint given Tensile Stress in Eye calculator uses Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint) to calculate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given tensile stress in eye is the diameter of the pin used in joining the eye end and the fork of a knuckle joint. Diameter of Knuckle Pin is denoted by d symbol.

How to calculate Diameter of Pin of Knuckle Joint given Tensile Stress in Eye using this online calculator? To use this online calculator for Diameter of Pin of Knuckle Joint given Tensile Stress in Eye, enter Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b) & Tensile Stress in Eye of Knuckle Joint (σ_teye) and hit the calculate button. Here is how the Diameter of Pin of Knuckle Joint given Tensile Stress in Eye calculation can be explained with given input values -> 52222.22 = 0.08-50000/(0.04*45000000).

FAQ

What is Diameter of Pin of Knuckle Joint given Tensile Stress in Eye?

The Diameter of pin of knuckle joint given tensile stress in eye is the diameter of the pin used in joining the eye end and the fork of a knuckle joint and is represented as d = d_o-L/(b*σ_teye) or Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint). Outer Diameter of Eye of Knuckle Joint is the diameter of the outer surface of the eye of the knuckle joint into which the knuckle pin is inserted, Load on Knuckle Joint is basically the amount of load/force any part, product, or joint of a knuckle joint can bear or is acted upon or exerts, Thickess of Eye of Knuckle Joint is the thickness of the eye of the nonforked part of the knuckle joint, measured perpendicular to the eye hole radius & Tensile Stress in Eye of Knuckle Joint is the amount of tensile stress induced into the eye of the knuckle joint which tends to fail the eye in tension.

How to calculate Diameter of Pin of Knuckle Joint given Tensile Stress in Eye?

The Diameter of pin of knuckle joint given tensile stress in eye is the diameter of the pin used in joining the eye end and the fork of a knuckle joint is calculated using Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Tensile Stress in Eye of Knuckle Joint). To calculate Diameter of Pin of Knuckle Joint given Tensile Stress in Eye, you need Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b) & Tensile Stress in Eye of Knuckle Joint (σ_teye). With our tool, you need to enter the respective value for Outer Diameter of Eye of Knuckle Joint, Load on Knuckle Joint, Thickess of Eye of Knuckle Joint & Tensile Stress in Eye of Knuckle 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 Diameter of Knuckle Pin?

In this formula, Diameter of Knuckle Pin uses Outer Diameter of Eye of Knuckle Joint, Load on Knuckle Joint, Thickess of Eye of Knuckle Joint & Tensile Stress in Eye of Knuckle Joint. We can use 10 other way(s) to calculate the same, which is/are as follows -

Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin))
Diameter of Knuckle Pin = Load on Knuckle Joint/(Compressive Stress in Knuckle Pin*Thickess of Eye of Knuckle Joint)
Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)
Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)
Diameter of Knuckle Pin = ((32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Bending Stress in Knuckle Pin))^(1/3)
Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Shear Stress in Eye of Knuckle Joint)
Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint/2
Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Tensile Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint)
Diameter of Knuckle Pin = Outer Diameter of Eye of Knuckle Joint-Load on Knuckle Joint/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint)
Diameter of Knuckle Pin = Diameter of Knuckle Pin Head/1.5

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