Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin 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%
✖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_roller]			+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 Considering Double Shear Failure of Pin [l₂]

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Formula

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Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin

Formula

`"l"_{"2"} = 1.25*sqrt((2*"P"_{"c"})/(pi*"τ"_{"roller"}))`

Example

`"26.15089mm"=1.25*sqrt((2*"1925N")/(pi*"2.8N/mm²"))`

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Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))
l₂ = 1.25*sqrt((2*P_c)/(pi*τ_roller))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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

Force on Roller Pin: 1925 Newton --> 1925 Newton No Conversion Required
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

l₂ = 1.25*sqrt((2*P_c)/(pi*τ_roller)) --> 1.25*sqrt((2*1925)/(pi*2800000))

Evaluating ... ...

l₂ = 0.0261508870996375

STEP 3: Convert Result to Output's Unit

0.0261508870996375 Meter -->26.1508870996375 Millimeter (Check conversion here)

FINAL ANSWER

26.1508870996375 ≈ 26.15089 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 » Design of Forked End » Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of 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

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 at Forked End of Rocker Arm given Thickness of Eye of Roller Pin

Go Length of Roller Pin = 2*Thickness of Roller Pin Eye

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 Considering Double Shear Failure of Pin Formula

Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))
l₂ = 1.25*sqrt((2*P_c)/(pi*τ_roller))

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 Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin calculator uses Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)) to calculate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm considering double shear failure of 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 Considering Double Shear Failure of Pin using this online calculator? To use this online calculator for Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin, enter Force on Roller Pin (P_c) & Shear Stress in Roller Pin (τ_roller) and hit the calculate button. Here is how the Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin calculation can be explained with given input values -> 26150.89 = 1.25*sqrt((2*1925)/(pi*2800000)).

FAQ

What is Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

The Length of roller pin of forked end of rocker arm considering double shear failure of 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 = 1.25*sqrt((2*P_c)/(pi*τ_roller)) or Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in 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 & 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 Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

The Length of roller pin of forked end of rocker arm considering double shear failure of 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 = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)). To calculate Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin, you need Force on Roller Pin (P_c) & Shear Stress in Roller Pin (τ_roller). With our tool, you need to enter the respective value for Force on 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 Length of Roller Pin?

In this formula, Length of Roller Pin uses Force on Roller Pin & Shear Stress in 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 = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin)
Length of Roller Pin = 2*Thickness of Roller Pin Eye

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