Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment Calculator

✖Bending Moment in Roller Pin is the amount of bending moment in the roller pin used with a roller joint to allow freedom of turning.ⓘ Bending Moment in Roller Pin [M_b]			+10% -10%
✖Diameter of Roller Pin is the diameter of the pin used at the roller joint.ⓘ Diameter of Roller Pin [d₂]			+10% -10%

✖Bending Stress in Roller Pin is the amount of bending stress in the roller pin used with a roller joint to allow freedom of turning.ⓘ Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment [σ_bpin]

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Formula

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Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment

Formula

`("σ"_{"b"}"pin") = (32*"M"_{"b"})/(pi*"d"_{"2"}^3)`

Example

`"12.81714N/mm²"=(32*"11000N*mm")/(pi*("20.6mm")^3)`

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Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3)
σ_bpin = (32*M_b)/(pi*d₂^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bending Stress in Roller Pin - (Measured in Pascal) - Bending Stress in Roller Pin is the amount of bending stress in the roller pin used with a roller joint to allow freedom of turning.
Bending Moment in Roller Pin - (Measured in Newton Meter) - Bending Moment in Roller Pin is the amount of bending moment in the roller pin used with a roller joint to allow freedom of turning.
Diameter of Roller Pin - (Measured in Meter) - Diameter of Roller Pin is the diameter of the pin used at the roller joint.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Roller Pin: 11000 Newton Millimeter --> 11 Newton Meter (Check conversion here)
Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_bpin = (32*M_b)/(pi*d₂^3) --> (32*11)/(pi*0.0206^3)

Evaluating ... ...

σ_bpin = 12817140.046953

STEP 3: Convert Result to Output's Unit

12817140.046953 Pascal -->12.817140046953 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

12.817140046953 ≈ 12.81714 Newton per Square Millimeter <-- Bending Stress in Roller Pin

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Design of Forked End » Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment

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

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< 22 Design of Forked End Calculators

Shear Stress in Roller Pin of Forked End of Rocker Arm

Go Shear Stress in Roller Pin = (2*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2)

Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

Go Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

Go Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin)

Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin

Go Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))

Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin

Go Diameter of Roller Pin = sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))

Length of Roller Pin of Forked End of Rocker Arm

Go Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)

Bearing Pressure at Roller Pin of Forked End of Rocker Arm

Go Bearing Pressure for Roller Pin = (Force on Roller Pin)/(Diameter of Roller Pin*Length of Roller Pin)

Diameter of Roller Pin at Forked End of Rocker Arm

Go Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin)

Force on Roller Pin of Forked End of Rocker Arm

Go Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin

Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment

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

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress

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

Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin

Go Shear Stress in Roller Pin = (2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2)

Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin

Go Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2

Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm

Go Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin)

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm

Go Bending Moment in Roller Pin = 5/24*Force on Roller Pin*Length of Roller Pin

Section Modulus of Roller Pin of Forked End of Rocker Arm

Go Section Modulus of Roller Pin = (pi*Diameter of Roller Pin^3)/32

Diameter of Roller Pin of Forked End of Rocker Arm given Outer Diameter of Eye of Roller Pin

Go Diameter of Roller Pin = Outer Diameter of Roller Pin Eye/2

Outer Diameter of Eye of Roller Pin of Forked End of Rocker Arm

Go Outer Diameter of Roller Pin Eye = 2*Diameter of Roller Pin

Length of Roller Pin at Forked End of Rocker Arm given Thickness of Eye of Roller Pin

Go Length of Roller Pin = 2*Thickness of Roller Pin Eye

Thickness of Eye of Roller Pin of Forked End of Rocker Arm

Go Thickness of Roller Pin Eye = Length of Roller Pin/2

Length of Roller Pin of Forked End of Rocker Arm given its Diameter

Go Length of Roller Pin = 1.25*Diameter of Roller Pin

Diameter of Roller Pin at Forked End of Rocker Arm given its Length

Go Diameter of Roller Pin = Length of Roller Pin/1.25

Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment Formula

Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3)
σ_bpin = (32*M_b)/(pi*d₂^3)

Design of cross section of rocker arm

The arm is subjected to bending moment under the action of force Pe. The bending moment is maximum at the center of the pivot. In general, the central section passing through the fulcrum pin is sufficiently strong to withstand the bending moment. Therefore, we will consider the cross-section of the arm near the boss of the fulcrum pin. The outside diameter of the boss of the rocker arm at the fulcrum pin is twice the diameter of the fulcrum pin.

How to Calculate Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment?

Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment calculator uses Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3) to calculate the Bending Stress in Roller Pin, The Bending stress in roller pin of forked end of rocker arm given bending moment is the amount of bending stress generated in the roller pin used with a roller joint in the rocker arm of IC Engine valve mechanism to allow freedom of turning. Bending Stress in Roller Pin is denoted by σ_bpin symbol.

How to calculate Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment using this online calculator? To use this online calculator for Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment, enter Bending Moment in Roller Pin (M_b) & Diameter of Roller Pin (d₂) and hit the calculate button. Here is how the Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment calculation can be explained with given input values -> 1.3E-5 = (32*11)/(pi*0.0206^3).

FAQ

What is Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment?

The Bending stress in roller pin of forked end of rocker arm given bending moment is the amount of bending stress generated in the roller pin used with a roller joint in the rocker arm of IC Engine valve mechanism to allow freedom of turning and is represented as σ_bpin = (32*M_b)/(pi*d₂^3) or Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3). Bending Moment in Roller Pin is the amount of bending moment in the roller pin used with a roller joint to allow freedom of turning & Diameter of Roller Pin is the diameter of the pin used at the roller joint.

How to calculate Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment?

The Bending stress in roller pin of forked end of rocker arm given bending moment is the amount of bending stress generated in the roller pin used with a roller joint in the rocker arm of IC Engine valve mechanism to allow freedom of turning is calculated using Bending Stress in Roller Pin = (32*Bending Moment in Roller Pin)/(pi*Diameter of Roller Pin^3). To calculate Bending Stress in Roller Pin of Forked End of Rocker Arm given Bending Moment, you need Bending Moment in Roller Pin (M_b) & Diameter of Roller Pin (d₂). With our tool, you need to enter the respective value for Bending Moment in Roller Pin & Diameter of Roller 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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