Diameter of Knuckle Pin given Bending Stress in Pin Calculator

✖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%
✖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%
✖Bending Stress in Knuckle Pin is the amount of bending stress induced into the knuckle pin when the knuckle joint is subjected to axial loading resulting in a bending moment.ⓘ Bending Stress in Knuckle Pin [σ_b]			+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 Knuckle Pin given Bending Stress in Pin [d]

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Diameter of Knuckle Pin given Bending Stress in Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
d = ((32*L/2*(b/4+a/3))/(pi*σ_b))^(1/3)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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.
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.
Bending Stress in Knuckle Pin - (Measured in Pascal) - Bending Stress in Knuckle Pin is the amount of bending stress induced into the knuckle pin when the knuckle joint is subjected to axial loading resulting in a bending moment.

STEP 1: Convert Input(s) to Base Unit

Load on Knuckle Joint: 45000 Newton --> 45000 Newton No Conversion Required
Thickess of Eye of Knuckle Joint: 44.3 Millimeter --> 0.0443 Meter (Check conversion here)
Thickess of Fork Eye of Knuckle Joint: 26.6 Millimeter --> 0.0266 Meter (Check conversion here)
Bending Stress in Knuckle Pin: 90 Newton per Square Millimeter --> 90000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((32*L/2*(b/4+a/3))/(pi*σ_b))^(1/3) --> ((32*45000/2*(0.0443/4+0.0266/3))/(pi*90000000))^(1/3)

Evaluating ... ...

d = 0.03703114912245

STEP 3: Convert Result to Output's Unit

0.03703114912245 Meter -->37.03114912245 Millimeter (Check conversion here)

FINAL ANSWER

37.03114912245 ≈ 37.03115 Millimeter <-- Diameter of Knuckle Pin

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

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

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National Institute Of Technology (NIT), Hamirpur

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< Pin Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Stress in Pin Formula

LaTeX Go

Advantages of Knuckle Joint

1.Knuckle joint can withstand large tensile loads.
2.It has good mechanical rigidity.
3.Also, it is simple to manufacture and set up.
4.It can be easily assembled and dismantled.
5.Design is simple and easy.
6.Fewer parts are less costly and more reliable.
7.It can permit angular movement between rods.
8.High repeating accuracy even with varying material thickness and tensile strengths.
9.Reduced impact shock and high system rigidity.
10.Long tool life.pdate with Actual Text.

How to Calculate Diameter of Knuckle Pin given Bending Stress in Pin?

Diameter of Knuckle Pin given Bending Stress in Pin calculator uses 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) to calculate the Diameter of Knuckle Pin, The Diameter of knuckle pin given bending stress in pin 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 Knuckle Pin given Bending Stress in Pin using this online calculator? To use this online calculator for Diameter of Knuckle Pin given Bending Stress in Pin, enter Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b), Thickess of Fork Eye of Knuckle Joint (a) & Bending Stress in Knuckle Pin (σ_b) and hit the calculate button. Here is how the Diameter of Knuckle Pin given Bending Stress in Pin calculation can be explained with given input values -> 38354.8 = ((32*45000/2*(0.0443/4+0.0266/3))/(pi*90000000))^(1/3).

FAQ

What is Diameter of Knuckle Pin given Bending Stress in Pin?

The Diameter of knuckle pin given bending stress in pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint and is represented as d = ((32*L/2*(b/4+a/3))/(pi*σ_b))^(1/3) or 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). 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, 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 & Bending Stress in Knuckle Pin is the amount of bending stress induced into the knuckle pin when the knuckle joint is subjected to axial loading resulting in a bending moment.

How to calculate Diameter of Knuckle Pin given Bending Stress in Pin?

The Diameter of knuckle pin given bending stress in pin 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 = ((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). To calculate Diameter of Knuckle Pin given Bending Stress in Pin, you need Load on Knuckle Joint (L), Thickess of Eye of Knuckle Joint (b), Thickess of Fork Eye of Knuckle Joint (a) & Bending Stress in Knuckle Pin (σ_b). With our tool, you need to enter the respective value for Load on Knuckle Joint, Thickess of Eye of Knuckle Joint, Thickess of Fork Eye of Knuckle Joint & Bending Stress in Knuckle Pin 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 Load on Knuckle Joint, Thickess of Eye of Knuckle Joint, Thickess of Fork Eye of Knuckle Joint & Bending Stress in Knuckle Pin. We can use 3 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)

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