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

✖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 [σ_bpin]			+10% -10%

✖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.ⓘ Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress [M_b]

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Formula

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

Formula

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

Example

`"21284N*mm"=(pi*("20.6mm")^3*"24.8N/mm²")/32`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)
Bending Stress in Roller Pin: 24.8 Newton per Square Millimeter --> 24800000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = (pi*d₂^3*σ_bpin)/32 --> (pi*0.0206^3*24800000)/32

Evaluating ... ...

M_b = 21.2839993165911

STEP 3: Convert Result to Output's Unit

21.2839993165911 Newton Meter -->21283.9993165911 Newton Millimeter (Check conversion here)

FINAL ANSWER

21283.9993165911 ≈ 21284 Newton Millimeter <-- Bending Moment in Roller Pin

(Calculation completed in 00.006 seconds)

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

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Created by Saurabh Patil

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

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

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

Types of load on rocker arm

When the roller pin is tight in the two eyes of the fork, failure occurs due to shear. On the other hand, when the pin is loose, it is subjected to a bending moment it acts as a beam It is assumed that the load acting on the pin is uniformly distributed in the portion that is in contact with the roller. It is uniformly varying in two parts of the fork.

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

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

How to calculate Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress using this online calculator? To use this online calculator for Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress, enter Diameter of Roller Pin (d₂) & Bending Stress in Roller Pin (σ_bpin) and hit the calculate button. Here is how the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress calculation can be explained with given input values -> 2.1E+7 = (pi*0.0206^3*24800000)/32.

FAQ

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

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

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

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

In this formula, Bending Moment in Roller Pin uses Diameter of Roller Pin & Bending Stress in Roller Pin. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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