Bending Stress in 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%
✖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%

✖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 given Bending Moment in Pin [σ_b]

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Formula

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Bending Stress in Knuckle Pin given Bending Moment in Pin

Formula

`"σ"_{"b"} = (32*"M"_{"b"})/(pi*"d"^3)`

Example

`"90.49143N/mm²"=(32*"450000N*mm")/(pi*("37mm")^3)`

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Bending Stress in Knuckle Pin given Bending Moment in Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Knuckle Pin = (32*Bending Moment in Knuckle Pin)/(pi*Diameter of Knuckle Pin^3)
σ_b = (32*M_b)/(pi*d^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

Bending Moment in Knuckle Pin: 450000 Newton Millimeter --> 450 Newton Meter (Check conversion here)
Diameter of Knuckle Pin: 37 Millimeter --> 0.037 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*d^3) --> (32*450)/(pi*0.037^3)

Evaluating ... ...

σ_b = 90491429.1561524

STEP 3: Convert Result to Output's Unit

90491429.1561524 Pascal -->90.4914291561524 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

90.4914291561524 ≈ 90.49143 Newton per Square Millimeter <-- Bending 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

Bending Stress in Knuckle Pin given Bending Moment in Pin Formula

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

Bending Stress in Knuckle Pin given Bending Moment in Pin calculator uses Bending Stress in Knuckle Pin = (32*Bending Moment in Knuckle Pin)/(pi*Diameter of Knuckle Pin^3) to calculate the Bending Stress in Knuckle Pin, The Bending stress in knuckle pin given bending moment in 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 is denoted by σ_b symbol.

How to calculate Bending Stress in Knuckle Pin given Bending Moment in Pin using this online calculator? To use this online calculator for Bending Stress in Knuckle Pin given Bending Moment in Pin, enter Bending Moment in Knuckle Pin (M_b) & Diameter of Knuckle Pin (d) and hit the calculate button. Here is how the Bending Stress in Knuckle Pin given Bending Moment in Pin calculation can be explained with given input values -> 9E-5 = (32*450)/(pi*0.037^3).

FAQ

What is Bending Stress in Knuckle Pin given Bending Moment in Pin?

The Bending stress in knuckle pin given bending moment in 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 and is represented as σ_b = (32*M_b)/(pi*d^3) or Bending Stress in Knuckle Pin = (32*Bending Moment in Knuckle Pin)/(pi*Diameter of Knuckle Pin^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 & 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 Bending Stress in Knuckle Pin given Bending Moment in Pin?

The Bending stress in knuckle pin given bending moment in 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 is calculated using Bending Stress in Knuckle Pin = (32*Bending Moment in Knuckle Pin)/(pi*Diameter of Knuckle Pin^3). To calculate Bending Stress in Knuckle Pin given Bending Moment in Pin, you need Bending Moment in Knuckle Pin (M_b) & Diameter of Knuckle Pin (d). With our tool, you need to enter the respective value for Bending Moment in Knuckle Pin & 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.

How many ways are there to calculate Bending Stress in Knuckle Pin?

In this formula, Bending Stress in Knuckle Pin uses Bending Moment in Knuckle Pin & Diameter of Knuckle Pin. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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