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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*(σb)))^(1/3)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Load on 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. (Measured in Newton)
Thickess of Eye of Knuckle Joint - 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. (Measured in Millimeter)
Thickess of Fork Eye of Knuckle Joint - 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. (Measured in Millimeter)
Bending Stress in Knuckle Pin - 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. (Measured in Newton per Square Millimeter)
STEP 1: Convert Input(s) to Base Unit
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)
Thickess of Fork Eye of Knuckle Joint: 26 Millimeter --> 0.026 Meter (Check conversion here)
Bending Stress in Knuckle Pin: 82 Newton per Square Millimeter --> 82000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((32*((L/2)*((b/4)+(a/3))))/(pi*(σb)))^(1/3) --> ((32*((50000/2)*((0.04/4)+(0.026/3))))/(pi*(82000000)))^(1/3)
Evaluating ... ...
d = 0.0387017863751294
STEP 3: Convert Result to Output's Unit
0.0387017863751294 Meter -->38.7017863751294 Millimeter (Check conversion here)
FINAL ANSWER
38.7017863751294 Millimeter <-- Diameter of Knuckle Pin
(Calculation completed in 00.017 seconds)

10+ Design of Knuckle Joint Calculators

Compressive stress in pin inside fork of knuckle joint given load and pin dimensions
Compressive Stress in Pin = Load on Knuckle Joint/(2*(Thickess of Fork Eye of Knuckle Joint)*Diameter of Knuckle Pin) Go
Diameter of pin of knuckle joint given load and shear stress in pin
Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*(Shear Stress in Pin))) Go
Diameter of rod of knuckle joint given tensile stress in rod
Diameter of rod = sqrt((4*Load on Knuckle Joint)/(pi*(Tensile Stress In Rod))) Go
Compressive stress in pin inside eye of knuckle joint given load and pin dimensions
Compressive Stress in Pin = Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Diameter of Knuckle Pin) Go
Diameter of pin of knuckle joint given compressive stress in eye end portion of pin
Diameter of Knuckle Pin = Load on Knuckle Joint/(Compressive Stress in Pin*Thickess of Eye of Knuckle Joint) Go
Length of pin of knuckle joint in contact with the eye end
Length of Pin in Eye End = Load on Knuckle Joint/(Compressive Stress in Pin*Diameter of Knuckle Pin) Go
Shear stress in pin of knuckle joint given load and pin diameter
Shear Stress in Pin = (2*Load on Knuckle Joint)/(pi*(Diameter of Knuckle Pin^2)) Go
Tensile stress in rod of knuckle joint
Tensile Stress In Rod = (4*Load on Knuckle Joint)/(pi*(Diameter of rod^2)) Go
Diameter of rod of knuckle joint given its enlarged diameter near the joint
Diameter of rod = Enlarged Diameter of Rod/1.1 Go
Enlarged Diameter of rod of knuckle joint near the joint
Enlarged Diameter of Rod = 1.1*Diameter of rod Go

Diameter of knuckle pin given bending stress in pin Formula

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*(σb)))^(1/3)

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 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 -> 38.70179 = ((32*((50000/2)*((0.04/4)+(0.026/3))))/(pi*(82000000)))^(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*(σb)))^(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 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 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 Pin)))
  • Diameter of Knuckle Pin = Load on Knuckle Joint/(Compressive Stress in Pin*Thickess of Eye of Knuckle Joint)
  • Diameter of Knuckle Pin = Load on Knuckle Joint/(2*(Compressive Stress in 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 = 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 = (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 Pin Head/1.5
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