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

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)
d = L/(2*σc*a)
This formula uses 4 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.
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.
Compressive Stress in Knuckle Pin - (Measured in Pascal) - Compressive Stress in Knuckle Pin is the compressive stress induced into the pin of a knuckle joint, the force per unit area tending to cause deformation of the pin.
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
Load on Knuckle Joint: 45000 Newton --> 45000 Newton No Conversion Required
Compressive Stress in Knuckle Pin: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion ​here)
Thickess of Fork Eye of Knuckle Joint: 26.6 Millimeter --> 0.0266 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = L/(2*σc*a) --> 45000/(2*30000000*0.0266)
Evaluating ... ...
d = 0.0281954887218045
STEP 3: Convert Result to Output's Unit
0.0281954887218045 Meter -->28.1954887218045 Millimeter (Check conversion ​here)
FINAL ANSWER
28.1954887218045 28.19549 Millimeter <-- Diameter of Knuckle Pin
(Calculation completed in 00.206 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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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 Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin Formula

​LaTeX ​Go
Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)
d = L/(2*σc*a)

Applications of knuckle joint

1. Tie rod joint of a roof truss.
2. Tension link in bridge structure.
3. Link of roller chain.
4. Tie rod joint of jib crane.
5. The knuckle joint is also used in tractor.

How to Calculate Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin?

Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin calculator uses Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint) to calculate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given compressive stress in fork end portion of 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 Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin using this online calculator? To use this online calculator for Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin, enter Load on Knuckle Joint (L), Compressive Stress in Knuckle Pin c) & Thickess of Fork Eye of Knuckle Joint (a) and hit the calculate button. Here is how the Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin calculation can be explained with given input values -> 31328.32 = 45000/(2*30000000*0.0266).

FAQ

What is Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin?
The Diameter of pin of knuckle joint given compressive stress in fork end portion of 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 = L/(2*σc*a) or Diameter of Knuckle Pin = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint). 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, Compressive Stress in Knuckle Pin is the compressive stress induced into the pin of a knuckle joint, the force per unit area tending to cause deformation of the pin & 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 Compressive Stress in Fork End Portion of Pin?
The Diameter of pin of knuckle joint given compressive stress in fork end portion of 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 = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint). To calculate Diameter of Pin of Knuckle Joint given Compressive Stress in Fork End Portion of Pin, you need Load on Knuckle Joint (L), Compressive Stress in Knuckle Pin c) & Thickess of Fork Eye of Knuckle Joint (a). With our tool, you need to enter the respective value for Load on Knuckle Joint, Compressive Stress in Knuckle Pin & 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 Load on Knuckle Joint, Compressive Stress in Knuckle Pin & Thickess of Fork Eye of Knuckle Joint. 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 = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)
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