Diameter of Pin of Knuckle Joint given Load and Shear 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%
✖Shear Stress in Knuckle Pin is the shear stress induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane parallel to the imposed stress.ⓘ Shear Stress in Knuckle Pin [τ_p]			+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 Pin of Knuckle Joint given Load and Shear Stress in Pin [d]

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Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin))
d = sqrt((2*L)/(pi*τ_p))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Shear Stress in Knuckle Pin - (Measured in Pascal) - Shear Stress in Knuckle Pin is the shear stress induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Load on Knuckle Joint: 45000 Newton --> 45000 Newton No Conversion Required
Shear Stress in Knuckle Pin: 23.2 Newton per Square Millimeter --> 23200000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((2*L)/(pi*τ_p)) --> sqrt((2*45000)/(pi*23200000))

Evaluating ... ...

d = 0.0351400460206539

STEP 3: Convert Result to Output's Unit

0.0351400460206539 Meter -->35.1400460206539 Millimeter (Check conversion here)

FINAL ANSWER

35.1400460206539 ≈ 35.14005 Millimeter <-- Diameter of Knuckle Pin

(Calculation completed in 00.007 seconds)

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Created by Saurabh Patil

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

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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 Load and Shear Stress in Pin Formula

LaTeX Go

Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin))
d = sqrt((2*L)/(pi*τ_p))

What is a Prismatic joint?

A prismatic joint provides a linear sliding movement between two bodies and is often called a slider, as in the slider-crank linkage. A prismatic pair is also called a sliding pair. A prismatic joint can be formed with a polygonal cross-section to resist rotation. The relative position of two bodies connected by a prismatic joint is defined by the amount of linear slide of one relative to the other one. This one parameter movement identifies this joint as one degree of freedom kinematic pair. Prismatic joints provide single-axis sliding often found in hydraulic and pneumatic cylinders.

How to Calculate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin calculator uses Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)) to calculate the Diameter of Knuckle Pin, The Diameter of pin of knuckle joint given load and shear 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 Pin of Knuckle Joint given Load and Shear Stress in Pin using this online calculator? To use this online calculator for Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin, enter Load on Knuckle Joint (L) & Shear Stress in Knuckle Pin (τ_p) and hit the calculate button. Here is how the Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin calculation can be explained with given input values -> 37040.86 = sqrt((2*45000)/(pi*23200000)).

FAQ

What is Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

The Diameter of pin of knuckle joint given load and shear 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 = sqrt((2*L)/(pi*τ_p)) or Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)). 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 & Shear Stress in Knuckle Pin is the shear stress induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane parallel to the imposed stress.

How to calculate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin?

The Diameter of pin of knuckle joint given load and shear 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 = sqrt((2*Load on Knuckle Joint)/(pi*Shear Stress in Knuckle Pin)). To calculate Diameter of Pin of Knuckle Joint given Load and Shear Stress in Pin, you need Load on Knuckle Joint (L) & Shear Stress in Knuckle Pin (τ_p). With our tool, you need to enter the respective value for Load on Knuckle Joint & Shear 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 & Shear Stress in Knuckle Pin. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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