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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 Pin)))
d = sqrt((2*L)/(pi*(τ)))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
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)
Shear Stress in Pin - Shear Stress in 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 or planes parallel to the imposed stress. (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
Shear Stress in Pin: 2.5 Newton per Square Millimeter --> 2500000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((2*L)/(pi*(τ))) --> sqrt((2*50000)/(pi*(2500000)))
Evaluating ... ...
d = 0.112837916709551
STEP 3: Convert Result to Output's Unit
0.112837916709551 Meter -->112.837916709551 Millimeter (Check conversion here)
FINAL ANSWER
112.837916709551 Millimeter <-- Diameter of Knuckle Pin
(Calculation completed in 00.016 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 pin of knuckle joint given load and shear stress in pin Formula

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

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 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 Pin (τ) 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 -> 112.8379 = sqrt((2*50000)/(pi*(2500000))).

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))) or Diameter of Knuckle Pin = sqrt((2*Load on Knuckle Joint)/(pi*(Shear Stress in 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 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 or planes 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 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 Pin (τ). With our tool, you need to enter the respective value for Load on Knuckle Joint & Shear Stress in 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 Pin. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • 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 = ((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)
  • 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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