Diameter of Knuckle Pin given Bending Moment in Pin Calculator

✖Bending Moment in Knuckle Pin is the amount of bending moment acting onto the knuckle pin when the knuckle joint is subjected to axial loading.ⓘ Bending Moment in Knuckle Pin [M_b]			+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 Moment in Pin [d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Pin Formulas PDF PDF Image

Diameter of Knuckle Pin given Bending Moment in Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)
d = ((32*M_b)/(pi*σ_b))^(1/3)
This formula uses 1 Constants, 3 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.
Bending Moment in Knuckle Pin - (Measured in Newton Meter) - Bending Moment in Knuckle Pin is the amount of bending moment acting onto the knuckle pin when the knuckle joint is subjected to axial loading.
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

Bending Moment in Knuckle Pin: 450000 Newton Millimeter --> 450 Newton 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*M_b)/(pi*σ_b))^(1/3) --> ((32*450)/(pi*90000000))^(1/3)

Evaluating ... ...

d = 0.0370672217926085

STEP 3: Convert Result to Output's Unit

0.0370672217926085 Meter -->37.0672217926085 Millimeter (Check conversion here)

FINAL ANSWER

37.0672217926085 ≈ 37.06722 Millimeter <-- Diameter of Knuckle Pin

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Design of Knuckle Joint » Mechanical » Pin » Diameter of Knuckle Pin given Bending Moment in Pin

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 Ravi Khiyani

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

Ravi Khiyani has verified this Calculator and 300+ more calculators!

< 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 Moment in Pin Formula

LaTeX Go

Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3)
d = ((32*M_b)/(pi*σ_b))^(1/3)

What is a knuckle joint?

A knuckle joint is used to connect the two rods which are under the tensile load when there is a requirement for a small amount of flexibility or when angular movement is necessary. There is always an axial or linear line of action of load.
The knuckle joint assembly consists of the following major components:
- Single eye
- Double-eye or fork
- Knuckle pin

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

Diameter of Knuckle Pin given Bending Moment in Pin calculator uses Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3) to calculate the Diameter of Knuckle Pin, The Diameter of knuckle pin given bending moment 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 Moment in Pin using this online calculator? To use this online calculator for Diameter of Knuckle Pin given Bending Moment in Pin, enter Bending Moment in Knuckle Pin (M_b) & Bending Stress in Knuckle Pin (σ_b) and hit the calculate button. Here is how the Diameter of Knuckle Pin given Bending Moment in Pin calculation can be explained with given input values -> 38235.45 = ((32*450)/(pi*90000000))^(1/3).

FAQ

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

The Diameter of knuckle pin given bending moment 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*M_b)/(pi*σ_b))^(1/3) or Diameter of Knuckle Pin = ((32*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3). Bending Moment in Knuckle Pin is the amount of bending moment acting onto the knuckle pin when the knuckle joint is subjected to axial loading & 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 Moment in Pin?

The Diameter of knuckle pin given bending moment 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*Bending Moment in Knuckle Pin)/(pi*Bending Stress in Knuckle Pin))^(1/3). To calculate Diameter of Knuckle Pin given Bending Moment in Pin, you need Bending Moment in Knuckle Pin (M_b) & Bending Stress in Knuckle Pin (σ_b). With our tool, you need to enter the respective value for Bending Moment in Knuckle Pin & 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 Bending Moment in Knuckle Pin & 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)

Home

FREE PDFs

🔍 Search