Diameter of Pin of Knuckle Joint given Shear Stress in Fork 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%
✖Shear Stress in Fork of Knuckle Joint is the amount of shear stress induced into the forked part of a knuckle joint and may lead to failure parallel to the force application area.ⓘ Shear Stress in Fork of Knuckle Joint [τ_fork]			+10% -10%
✖Thickess of Fork Eye of Knuckle Joint is the thickness of the eye of the forked part of the knuckle joint, measured perpendicular to the eye hole radius.ⓘ Thickess of Fork Eye of Knuckle Joint [a]			+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 Shear Stress in Fork [d]

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Formula

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Diameter of Pin of Knuckle Joint given Shear Stress in Fork

Formula

`"d" = "d"_{"o"}-"L"/(2*"τ"_{"fork"}*"a")`

Example

`"41.53846mm"="80mm"-"50000N"/(2*"25N/mm²"*"26mm")`

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Diameter of Pin of Knuckle Joint given Shear Stress in Fork Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d = d_o-L/(2*τ_fork*a)
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.
Shear Stress in Fork of Knuckle Joint - (Measured in Pascal) - Shear Stress in Fork of Knuckle Joint is the amount of shear stress induced into the forked part of a knuckle joint and may lead to failure parallel to the force application area.
Thickess of Fork Eye of Knuckle Joint - (Measured in Meter) - Thickess of Fork Eye of Knuckle Joint is the thickness of the eye of the forked part of the knuckle joint, measured perpendicular to the eye hole radius.

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
Shear Stress in Fork of Knuckle Joint: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)
Thickess of Fork Eye of Knuckle Joint: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = d_o-L/(2*τ_fork*a) --> 0.08-50000/(2*25000000*0.026)

Evaluating ... ...

d = 0.0415384615384615

STEP 3: Convert Result to Output's Unit

0.0415384615384615 Meter -->41.5384615384615 Millimeter (Check conversion here)

FINAL ANSWER

41.5384615384615 ≈ 41.53846 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 Shear Stress in Fork

Credits

Created by Saurabh Patil

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

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 Shear Stress in Fork Formula

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)
d = d_o-L/(2*τ_fork*a)

What is difference between crushing and buckling?

Crushing means breaking and failure of short column structure when subjected to high compressive stress and Buckling is failure of long column structure when subjected to high buckling stress.

How to Calculate Diameter of Pin of Knuckle Joint given Shear Stress in Fork?

Diameter of Pin of Knuckle Joint given Shear Stress in Fork calculator uses 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) to calculate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given shear stress in fork 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 Shear Stress in Fork using this online calculator? To use this online calculator for Diameter of Pin of Knuckle Joint given Shear Stress in Fork, enter Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Shear Stress in Fork of Knuckle Joint (τ_fork) & Thickess of Fork Eye of Knuckle Joint (a) and hit the calculate button. Here is how the Diameter of Pin of Knuckle Joint given Shear Stress in Fork calculation can be explained with given input values -> 41538.46 = 0.08-50000/(2*25000000*0.026).

FAQ

What is Diameter of Pin of Knuckle Joint given Shear Stress in Fork?

The Diameter of pin of knuckle joint given shear stress in fork 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/(2*τ_fork*a) or 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). 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, Shear Stress in Fork of Knuckle Joint is the amount of shear stress induced into the forked part of a knuckle joint and may lead to failure parallel to the force application area & Thickess of Fork Eye of Knuckle Joint is the thickness of the eye of the forked part of the knuckle joint, measured perpendicular to the eye hole radius.

How to calculate Diameter of Pin of Knuckle Joint given Shear Stress in Fork?

The Diameter of pin of knuckle joint given shear stress in fork 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/(2*Shear Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint). To calculate Diameter of Pin of Knuckle Joint given Shear Stress in Fork, you need Outer Diameter of Eye of Knuckle Joint (d_o), Load on Knuckle Joint (L), Shear Stress in Fork of Knuckle Joint (τ_fork) & Thickess of Fork Eye of Knuckle Joint (a). With our tool, you need to enter the respective value for Outer Diameter of Eye of Knuckle Joint, Load on Knuckle Joint, Shear Stress in Fork of Knuckle Joint & Thickess of Fork 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, Shear Stress in Fork of Knuckle Joint & Thickess of Fork 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*Tensile Stress in Eye of Knuckle Joint)
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 = Diameter of Knuckle Pin Head/1.5

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