Diameter of Pin of Knuckle Joint given Tensile 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*Tensile Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint)
d = do-L/(2*σtf*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.
Tensile Stress in Fork of Knuckle Joint - (Measured in Pascal) - Tensile Stress in Fork of Knuckle Joint is the amount of tensile stress induced into the forked part of a knuckle joint and may lead to tensile failure.
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: 45000 Newton --> 45000 Newton No Conversion Required
Tensile Stress in Fork of Knuckle Joint: 26.5 Newton per Square Millimeter --> 26500000 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 = do-L/(2*σtf*a) --> 0.08-45000/(2*26500000*0.0266)
Evaluating ... ...
d = 0.0480805788055043
STEP 3: Convert Result to Output's Unit
0.0480805788055043 Meter -->48.0805788055043 Millimeter (Check conversion ​here)
FINAL ANSWER
48.0805788055043 48.08058 Millimeter <-- Diameter of Knuckle Pin
(Calculation completed in 00.007 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 Tensile Stress in Fork Formula

​LaTeX ​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)
d = do-L/(2*σtf*a)

Shear failure in beams

Shear failure occurs when the beam has shear resistance lower than flexural strength and the shear force exceeds the shear capacity of different materials of the beam. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.
This type of failure is sudden and provides no warning i.e. brittle failure. The effective span to depth ratio of the beams and their size are important parameters in determining the type of shear failure. Shear failure is an undesired type of failure and commonly stirrups are placed in the beam to prevent the shear failure.

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

Diameter of Pin of Knuckle Joint given Tensile Stress in Fork calculator uses 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) to calculate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given tensile 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 Tensile Stress in Fork using this online calculator? To use this online calculator for Diameter of Pin of Knuckle Joint given Tensile Stress in Fork, enter Outer Diameter of Eye of Knuckle Joint (do), Load on Knuckle Joint (L), Tensile Stress in Fork of Knuckle Joint tf) & Thickess of Fork Eye of Knuckle Joint (a) and hit the calculate button. Here is how the Diameter of Pin of Knuckle Joint given Tensile Stress in Fork calculation can be explained with given input values -> 44533.98 = 0.08-45000/(2*26500000*0.0266).

FAQ

What is Diameter of Pin of Knuckle Joint given Tensile Stress in Fork?
The Diameter of pin of knuckle joint given tensile 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 = do-L/(2*σtf*a) or 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). 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, Tensile Stress in Fork of Knuckle Joint is the amount of tensile stress induced into the forked part of a knuckle joint and may lead to tensile failure & 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 Tensile Stress in Fork?
The Diameter of pin of knuckle joint given tensile 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*Tensile Stress in Fork of Knuckle Joint*Thickess of Fork Eye of Knuckle Joint). To calculate Diameter of Pin of Knuckle Joint given Tensile Stress in Fork, you need Outer Diameter of Eye of Knuckle Joint (do), Load on Knuckle Joint (L), Tensile Stress in Fork of Knuckle Joint tf) & 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, Tensile 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, Tensile Stress in Fork of Knuckle Joint & 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 = Load on Knuckle Joint/(2*Compressive Stress in Knuckle Pin*Thickess of Fork Eye of Knuckle Joint)
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