Length 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%
✖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%
✖Diameter of Roller Pin is the diameter of the pin used at the roller joint.ⓘ Diameter of Roller Pin [d₂]			+10% -10%

✖Length of Roller Pin is the total length of the pin used at the roller joint.ⓘ Length of Roller Pin of Forked End of Rocker Arm [l₂]

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Length of Roller Pin of Forked End of Rocker Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)
l₂ = 1.25*(P_c)/(Pb_p*d₂)
This formula uses 4 Variables

Variables Used

Length of Roller Pin - (Measured in Meter) - Length of Roller Pin is the total length 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.
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

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)
Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l₂ = 1.25*(P_c)/(Pb_p*d₂) --> 1.25*(1925)/(3600000*0.0206)

Evaluating ... ...

l₂ = 0.032446736785329

STEP 3: Convert Result to Output's Unit

0.032446736785329 Meter -->32.446736785329 Millimeter (Check conversion here)

FINAL ANSWER

32.446736785329 ≈ 32.44674 Millimeter <-- Length of Roller Pin

(Calculation completed in 00.007 seconds)

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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

LaTeX 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

LaTeX 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

LaTeX 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

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

Length of Roller Pin of Forked End of Rocker Arm Formula

LaTeX Go

Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)
l₂ = 1.25*(P_c)/(Pb_p*d₂)

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 Length of Roller Pin of Forked End of Rocker Arm?

Length of Roller Pin of Forked End of Rocker Arm calculator uses Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin) to calculate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm is the total length of the roller pin used at the roller joint of the rocker arm at its forked end. Length of Roller Pin is denoted by l₂ symbol.

How to calculate Length of Roller Pin of Forked End of Rocker Arm using this online calculator? To use this online calculator for Length of Roller Pin of Forked End of Rocker Arm, enter Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Diameter of Roller Pin (d₂) and hit the calculate button. Here is how the Length of Roller Pin of Forked End of Rocker Arm calculation can be explained with given input values -> 32446.74 = 1.25*(1925)/(3600000*0.0206).

FAQ

What is Length of Roller Pin of Forked End of Rocker Arm?

The Length of roller pin of forked end of rocker arm is the total length of the roller pin used at the roller joint of the rocker arm at its forked end and is represented as l₂ = 1.25*(P_c)/(Pb_p*d₂) or Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter 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 & Diameter of Roller Pin is the diameter of the pin used at the roller joint.

How to calculate Length of Roller Pin of Forked End of Rocker Arm?

The Length of roller pin of forked end of rocker arm is the total length of the roller pin used at the roller joint of the rocker arm at its forked end is calculated using Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin). To calculate Length of Roller Pin of Forked End of Rocker Arm, you need Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Diameter of Roller Pin (d₂). With our tool, you need to enter the respective value for Force on Roller Pin, Bearing Pressure for 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.

How many ways are there to calculate Length of Roller Pin?

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

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

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