Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter 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%
✖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 [d]			+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 Pin of Knuckle Joint given Load and Pin Diameter [τ_pin]

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Formula

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

Formula

`"τ"_{"pin"} = (2*"L")/(pi*"d"^2)`

Example

`"23.25127N/mm²"=(2*"50000N")/(pi*("37mm")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Load on Knuckle Joint: 50000 Newton --> 50000 Newton No Conversion Required
Diameter of Knuckle Pin: 37 Millimeter --> 0.037 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_pin = (2*L)/(pi*d^2) --> (2*50000)/(pi*0.037^2)

Evaluating ... ...

τ_pin = 23251269.9915114

STEP 3: Convert Result to Output's Unit

23251269.9915114 Pascal -->23.2512699915114 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

23.2512699915114 ≈ 23.25127 Newton per Square Millimeter <-- Shear Stress in Knuckle Pin

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

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

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< 16 Eye Calculators

Bending Stress in Knuckle Pin given Load, Thickness of Eyes and Pin Diameter

Go Bending Stress in Knuckle Pin = (32*Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3))/(pi*Diameter of Knuckle Pin^3)

Thickness of Eye End of Knuckle Joint given Bending Stress in Pin

Go Thickess of Eye of Knuckle Joint = 4*((pi*Diameter of Knuckle Pin^3*Bending Stress in Knuckle Pin)/(16*Load on Knuckle Joint)-Thickess of Fork Eye of Knuckle Joint/3)

Tensile Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter

Go Tensile Stress in Fork of Knuckle Joint = Load on Knuckle Joint/(2*Thickess of Fork Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Shear Stress in Fork of Knuckle Joint given Load, Outer Diameter of Eye and Pin Diameter

Go Shear Stress in Fork of Knuckle Joint = Load on Knuckle Joint/(2*Thickess of Fork Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Tensile Stress in Eye of Knuckle Joint given Load, Outer Diameter of Eye and its Thickness

Go Tensile Stress in Eye of Knuckle Joint = Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Thickness of Eye End of Knuckle Joint given Tensile Stress in Eye

Go Thickess of Eye of Knuckle Joint = Load on Knuckle Joint/(Tensile Stress in Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Shear Stress in Eye of Knuckle Joint given Load, Outer Diameter of Eye and its Thickness

Go Shear Stress in Eye of Knuckle Joint = Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Thickness of Eye End of Knuckle Joint given Shear Stress in Eye

Go Thickess of Eye of Knuckle Joint = Load on Knuckle Joint/(Shear Stress in Eye of Knuckle Joint*(Outer Diameter of Eye of Knuckle Joint-Diameter of Knuckle Pin))

Max Bending Moment in Knuckle Pin given Load, Thickness of Eye and Fork

Go Bending Moment in Knuckle Pin = Load on Knuckle Joint/2*(Thickess of Eye of Knuckle Joint/4+Thickess of Fork Eye of Knuckle Joint/3)

Thickness of Eye End of Knuckle Joint given Bending Moment in Pin

Go Thickess of Eye of Knuckle Joint = 4*(2*Bending Moment in Knuckle Pin/Load on Knuckle Joint-Thickess of Fork Eye of Knuckle Joint/3)

Compressive Stress in Pin Inside Fork of Knuckle Joint given Load and Pin Dimensions

Go Compressive Stress in Knuckle Pin = Load on Knuckle Joint/(2*Thickess of Fork Eye of Knuckle Joint*Diameter of Knuckle Pin)

Compressive Stress in Pin Inside Eye of Knuckle Joint given Load and Pin Dimensions

Go Compressive Stress in Knuckle Pin = Load on Knuckle Joint/(Thickess of Eye of Knuckle Joint*Diameter of Knuckle Pin)

Tensile Stress in Rod of Knuckle Joint

Go Tensile Stress in Knuckle Joint Rod = (4*Load on Knuckle Joint)/(pi*Diameter of Rod of Knuckle Joint^2)

Bending Stress in Knuckle Pin given Bending Moment in Pin

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

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

Go Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2)

Thickness of Eye of Knuckle Joint given Rod Diameter

Go Thickess of Eye of Knuckle Joint = 1.25*Diameter of Rod of Knuckle Joint

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

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

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

Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter calculator uses Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2) to calculate the Shear Stress in Knuckle Pin, The Shear stress in pin of knuckle joint given load and pin diameter is the shear stress inside the knuckle pin due to the load acting to pull apart the eye end and the fork of the knuckle joint. Shear Stress in Knuckle Pin is denoted by τ_pin symbol.

How to calculate Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter using this online calculator? To use this online calculator for Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter, enter Load on Knuckle Joint (L) & Diameter of Knuckle Pin (d) and hit the calculate button. Here is how the Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter calculation can be explained with given input values -> 2.3E-5 = (2*50000)/(pi*0.037^2).

FAQ

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

The Shear stress in pin of knuckle joint given load and pin diameter is the shear stress inside the knuckle pin due to the load acting to pull apart the eye end and the fork of the knuckle joint and is represented as τ_pin = (2*L)/(pi*d^2) or Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2). 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 & Diameter of Knuckle Pin is the diameter of the pin used in joining the eye end and the fork of a knuckle joint.

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

The Shear stress in pin of knuckle joint given load and pin diameter is the shear stress inside the knuckle pin due to the load acting to pull apart the eye end and the fork of the knuckle joint is calculated using Shear Stress in Knuckle Pin = (2*Load on Knuckle Joint)/(pi*Diameter of Knuckle Pin^2). To calculate Shear Stress in Pin of Knuckle Joint given Load and Pin Diameter, you need Load on Knuckle Joint (L) & Diameter of Knuckle Pin (d). With our tool, you need to enter the respective value for Load on Knuckle Joint & Diameter of Knuckle Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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