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

✖Force on Roller Pin is the force acting onto the roller pin ( the pivot about which a lever rolls freely) used as a joint.ⓘ Force on Roller Pin [P_c]			+10% -10%
✖Length of Roller Pin is the total length of the pin used at the roller joint.ⓘ Length of Roller Pin [l₂]			+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.ⓘ Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm [M_b]

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Formula

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

Formula

`"M"_{"b"} = 5/24*("P"_{"c"}*"l"_{"2"})`

Example

`"10427.08N*mm"=5/24*("1925N"*"26mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin)
M_b = 5/24*(P_c*l₂)
This formula uses 3 Variables

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.
Force on Roller Pin - (Measured in Newton) - Force on Roller Pin is the force acting onto the roller pin ( the pivot about which a lever rolls freely) used as a joint.
Length of Roller Pin - (Measured in Meter) - Length of Roller Pin is the total length of the pin used at the roller joint.

STEP 1: Convert Input(s) to Base Unit

Force on Roller Pin: 1925 Newton --> 1925 Newton No Conversion Required
Length of Roller Pin: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = 5/24*(P_c*l₂) --> 5/24*(1925*0.026)

Evaluating ... ...

M_b = 10.4270833333333

STEP 3: Convert Result to Output's Unit

10.4270833333333 Newton Meter -->10427.0833333333 Newton Millimeter (Check conversion here)

FINAL ANSWER

10427.0833333333 ≈ 10427.08 Newton Millimeter <-- Bending Moment 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 Moment in Central Plane of Roller Pin of Forked End of Rocker Arm

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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

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

Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin)
M_b = 5/24*(P_c*l₂)

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

Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm calculator uses Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin) to calculate the Bending Moment in Roller Pin, The Bending Moment in central plane of roller pin of forked end of rocker arm is the 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 Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm using this online calculator? To use this online calculator for Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm, enter Force on Roller Pin (P_c) & Length of Roller Pin (l₂) and hit the calculate button. Here is how the Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm calculation can be explained with given input values -> 1E+7 = 5/24*(1925*0.026).

FAQ

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

The Bending Moment in central plane of roller pin of forked end of rocker arm is the 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 = 5/24*(P_c*l₂) or Bending Moment in Roller Pin = 5/24*(Force on Roller Pin*Length of Roller Pin). Force on Roller Pin is the force acting onto the roller pin ( the pivot about which a lever rolls freely) used as a joint & Length of Roller Pin is the total length of the pin used at the roller joint.

How to calculate Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm?

The Bending Moment in central plane of roller pin of forked end of rocker arm is the 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 = 5/24*(Force on Roller Pin*Length of Roller Pin). To calculate Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm, you need Force on Roller Pin (P_c) & Length of Roller Pin (l₂). With our tool, you need to enter the respective value for Force on Roller Pin & Length of 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 Force on Roller Pin & Length of 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 = (pi*Diameter of Roller Pin^3*Bending Stress in Roller Pin)/32

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