✖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 [d₂]			+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 of Forked End of Rocker Arm given Force at Roller Pin [l₂]

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Formula

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Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

Formula

`"l"_{"2"} = (pi*"τ"_{"r"}*"d"_{"2"})/(2*"Pb"_{"p"})`

Example

`"25.16765mm"=(pi*"2.8N/mm²"*"20.6mm")/(2*"3.6N/mm²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Roller Pin: 2.8 Newton per Square Millimeter --> 2800000 Pascal (Check conversion here)
Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)
Bearing Pressure for Roller Pin: 3.6 Newton per Square Millimeter --> 3600000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l₂ = (pi*τ_r*d₂)/(2*Pb_p) --> (pi*2800000*0.0206)/(2*3600000)

Evaluating ... ...

l₂ = 0.0251676478137582

STEP 3: Convert Result to Output's Unit

0.0251676478137582 Meter -->25.1676478137582 Millimeter (Check conversion here)

FINAL ANSWER

25.1676478137582 ≈ 25.16765 Millimeter <-- Length 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 » Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

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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

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

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

What is a Rocker arm?

In the context of an internal combustion engine, a rocker arm is a valvetrain component that typically transfers the motion of a pushrod to the corresponding intake/exhaust valve. Rocker arms in automobiles are typically made from stamped steel or aluminum in higher-revving applications. Some rocker arms (called roller rockers) include a bearing at the contact point, to reduce wear and friction at the contact point.

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

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin calculator uses Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin) to calculate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm given force at roller pin 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 given Force at Roller Pin using this online calculator? To use this online calculator for Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, enter Shear Stress in Roller Pin (τ_r), Diameter of Roller Pin (d₂) & Bearing Pressure for Roller Pin (Pb_p) and hit the calculate button. Here is how the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin calculation can be explained with given input values -> 25167.65 = (pi*2800000*0.0206)/(2*3600000).

FAQ

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

The Length of roller pin of forked end of rocker arm given force at roller pin 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 = (pi*τ_r*d₂)/(2*Pb_p) or Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin). 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, Diameter of Roller Pin is the diameter of the pin used at the roller 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.

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

The Length of roller pin of forked end of rocker arm given force at roller pin 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 = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin). To calculate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, you need Shear Stress in Roller Pin (τ_r), Diameter of Roller Pin (d₂) & Bearing Pressure for Roller Pin (Pb_p). With our tool, you need to enter the respective value for Shear Stress in Roller Pin, Diameter of Roller Pin & Bearing Pressure for 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 Shear Stress in Roller Pin, Diameter of Roller Pin & Bearing Pressure for Roller Pin. We can use 4 other way(s) to calculate the same, which is/are as follows -

Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)
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 = 2*Thickness of Roller Pin Eye

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