Diameter of Roller Pin at 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%
✖Bearing Pressure for Roller Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them.ⓘ Bearing Pressure for Roller Pin [Pb_p]			+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%

✖Diameter of Roller Pin is the diameter of the pin used at the roller joint.ⓘ Diameter of Roller Pin at Forked End of Rocker Arm [d₂]

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Formula

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Diameter of Roller Pin at Forked End of Rocker Arm

Formula

d 2 = \frac{P c}{Pb p \cdot l 2}

Example

20.56624 mm = \frac{1925 N}{3.6 N/mm² \cdot 26 mm}

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Diameter of Roller Pin at Forked End of Rocker Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin)
d₂ = (P_c)/(Pb_p*l₂)
This formula uses 4 Variables

Variables Used

Diameter of Roller Pin - (Measured in Meter) - Diameter of Roller Pin is the diameter of the pin used at the roller joint.
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.
Bearing Pressure for Roller Pin - (Measured in Pascal) - Bearing Pressure for Roller Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them.
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
Bearing Pressure for Roller Pin: 3.6 Newton per Square Millimeter --> 3600000 Pascal (Check conversion here)
Length of Roller Pin: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = (P_c)/(Pb_p*l₂) --> (1925)/(3600000*0.026)

Evaluating ... ...

d₂ = 0.0205662393162393

STEP 3: Convert Result to Output's Unit

0.0205662393162393 Meter -->20.5662393162393 Millimeter (Check conversion here)

FINAL ANSWER

20.5662393162393 ≈ 20.56624 Millimeter <-- Diameter of Roller Pin

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Mechanical » Design of Forked End » Diameter of Roller Pin at Forked End of Rocker Arm

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

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< Design of Forked End Calculators

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

Diameter of Roller Pin at Forked End of Rocker Arm Formula

Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin)
d₂ = (P_c)/(Pb_p*l₂)

Inlet and Exhaust Valve Rocker Arm

In four-stroke cycle engines, the rocker arm of the exhaust valve is more heavily loaded. On the other hand, the force required to operate the inlet valve is comparatively less. However, it is usual practice to make rocker arms for inlet and exhaust valves identical. This results in ease of manufacturing. The main objective of the rocker arm as a ‘lever’ is to change the direction of force and not the multiplication of the effort. Therefore, the two arms of the rocker arm are often made equal in moderate and low-speed engines. In high-speed engines, the (a/b) ratio is taken as (1/1.3), where a and b are the length of the arms, a being measured towards the exhaust valve.

How to Calculate Diameter of Roller Pin at Forked End of Rocker Arm?

Diameter of Roller Pin at Forked End of Rocker Arm calculator uses Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin) to calculate the Diameter of Roller Pin, The Diameter of roller pin at forked end of rocker arm is the diameter of the roller pin used at the roller joint of the rocker arm at its forked end. Diameter of Roller Pin is denoted by d₂ symbol.

How to calculate Diameter of Roller Pin at Forked End of Rocker Arm using this online calculator? To use this online calculator for Diameter of Roller Pin at Forked End of Rocker Arm, enter Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Length of Roller Pin (l₂) and hit the calculate button. Here is how the Diameter of Roller Pin at Forked End of Rocker Arm calculation can be explained with given input values -> 20566.24 = (1925)/(3600000*0.026).

FAQ

What is Diameter of Roller Pin at Forked End of Rocker Arm?

The Diameter of roller pin at forked end of rocker arm is the diameter of the roller pin used at the roller joint of the rocker arm at its forked end and is represented as d₂ = (P_c)/(Pb_p*l₂) or Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for 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, Bearing Pressure for Roller Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them & Length of Roller Pin is the total length of the pin used at the roller joint.

How to calculate Diameter of Roller Pin at Forked End of Rocker Arm?

The Diameter of roller pin at forked end of rocker arm is the diameter of the roller pin used at the roller joint of the rocker arm at its forked end is calculated using Diameter of Roller Pin = (Force on Roller Pin)/(Bearing Pressure for Roller Pin*Length of Roller Pin). To calculate Diameter of Roller Pin at Forked End of Rocker Arm, you need Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Length of Roller Pin (l₂). With our tool, you need to enter the respective value for Force on Roller Pin, Bearing Pressure for 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 Diameter of Roller Pin?

In this formula, Diameter of Roller Pin uses Force on Roller Pin, Bearing Pressure for Roller Pin & Length of Roller Pin. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Roller Pin = Length of Roller Pin/1.25
Diameter of Roller Pin = sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))
Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)

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