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

✖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%
✖Shear Stress in Roller Pin is the shear stress-induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Roller Pin [τ_r]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)
d₂ = (2*Pb_p*l₂)/(pi*τ_r)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Roller Pin - (Measured in Meter) - Diameter of Roller Pin is the diameter of the pin used at the roller 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.
Shear Stress in Roller Pin - (Measured in Pascal) - Shear Stress in Roller Pin is the shear stress-induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

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)
Shear Stress in Roller Pin: 2.8 Newton per Square Millimeter --> 2800000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = (2*Pb_p*l₂)/(pi*τ_r) --> (2*3600000*0.026)/(pi*2800000)

Evaluating ... ...

d₂ = 0.0212812895334306

STEP 3: Convert Result to Output's Unit

0.0212812895334306 Meter -->21.2812895334306 Millimeter (Check conversion here)

FINAL ANSWER

21.2812895334306 ≈ 21.28129 Millimeter <-- Diameter of Roller Pin

(Calculation completed in 00.020 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 of Forked End of Rocker Arm given Force at Roller Pin

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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

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

LaTeX Go

Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)
d₂ = (2*Pb_p*l₂)/(pi*τ_r)

What is Rocker ratio?

The rocker ratio is the distance traveled by the valve divided by the distance traveled by the pushrod effective. The ratio is determined by the ratio of the distances from the rocker arm's pivot point to the point where it touches the valve and the point where it touches the pushrod/camshaft. A rocker ratio greater than one essentially increases the camshaft's lift.
Current automotive design favors rocker arm ratios of about 1.5:1 to 1.8:1. However, in the past smaller positive ratios have been used, including a 1:1 (neutral ratio) in many engines prior to the 1950s, and ratios less than 1 (valve lift smaller than the cam lift) have also been used at times.

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

Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin calculator uses Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin) to calculate the Diameter of Roller Pin, The Diameter of roller pin of forked end of rocker arm given force at roller pin 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 of Forked End of Rocker Arm given Force at Roller Pin using this online calculator? To use this online calculator for Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, enter Bearing Pressure for Roller Pin (Pb_p), Length of Roller Pin (l₂) & Shear Stress in Roller Pin (τ_r) and hit the calculate button. Here is how the Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin calculation can be explained with given input values -> 21281.29 = (2*3600000*0.026)/(pi*2800000).

FAQ

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

The Diameter of roller pin of forked end of rocker arm given force at roller pin 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 = (2*Pb_p*l₂)/(pi*τ_r) or Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin). 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 & Shear Stress in Roller Pin is the shear stress-induced into the pin, the force per unit area tending to cause deformation of the pin by slippage along a plane or planes parallel to the imposed stress.

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

The Diameter of roller pin of forked end of rocker arm given force at roller pin 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 = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin). To calculate Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, you need Bearing Pressure for Roller Pin (Pb_p), Length of Roller Pin (l₂) & Shear Stress in Roller Pin (τ_r). With our tool, you need to enter the respective value for Bearing Pressure for Roller Pin, Length of Roller Pin & Shear 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 Diameter of Roller Pin?

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

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

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