Shear Stress in Roller Pin of Forked End of Rocker Arm 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_pin]			+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 [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 of Forked End of Rocker Arm [τ_roller]

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Formula

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Shear Stress in Roller Pin of Forked End of Rocker Arm

Formula

`"τ"_{"roller"} = (2*"Pb"_{"pin"}*"d"_{"2"}*"l"_{"2"})/(pi*"d"_{"2"}^2)`

Example

`"2.892602N/mm²"=(2*"3.6N/mm²"*"20.6mm"*"26mm")/(pi*("20.6mm")^2)`

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Shear Stress in Roller Pin of Forked End of Rocker Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
τ_roller = (2*Pb_pin*d₂*l₂)/(pi*d₂^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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

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)
Length of Roller Pin: 26 Millimeter --> 0.026 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_roller = (2*Pb_pin*d₂*l₂)/(pi*d₂^2) --> (2*3600000*0.0206*0.026)/(pi*0.0206^2)

Evaluating ... ...

τ_roller = 2892602.46085464

STEP 3: Convert Result to Output's Unit

2892602.46085464 Pascal -->2.89260246085464 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

2.89260246085464 ≈ 2.892602 Newton per Square Millimeter <-- Shear Stress in 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 » Shear Stress in Roller Pin of Forked End of Rocker Arm

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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

Shear Stress in Roller Pin of Forked End of Rocker Arm Formula

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)
τ_roller = (2*Pb_pin*d₂*l₂)/(pi*d₂^2)

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 Shear Stress in Roller Pin of Forked End of Rocker Arm?

Shear Stress in Roller Pin of Forked End of Rocker Arm calculator uses 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) to calculate the Shear Stress in Roller Pin, The Shear stress in roller pin of forked end of rocker arm is the shear stress induced into the roller 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. Here the force is acting on the forked end. Shear Stress in Roller Pin is denoted by τ_roller symbol.

How to calculate Shear Stress in Roller Pin of Forked End of Rocker Arm using this online calculator? To use this online calculator for Shear Stress in Roller Pin of Forked End of Rocker Arm, enter Bearing Pressure for Roller Pin (Pb_pin), Diameter of Roller Pin (d₂) & Length of Roller Pin (l₂) and hit the calculate button. Here is how the Shear Stress in Roller Pin of Forked End of Rocker Arm calculation can be explained with given input values -> 2.9E-6 = (2*3600000*0.0206*0.026)/(pi*0.0206^2).

FAQ

What is Shear Stress in Roller Pin of Forked End of Rocker Arm?

The Shear stress in roller pin of forked end of rocker arm is the shear stress induced into the roller 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. Here the force is acting on the forked end and is represented as τ_roller = (2*Pb_pin*d₂*l₂)/(pi*d₂^2) or 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). 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 & Length of Roller Pin is the total length of the pin used at the roller joint.

How to calculate Shear Stress in Roller Pin of Forked End of Rocker Arm?

The Shear stress in roller pin of forked end of rocker arm is the shear stress induced into the roller 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. Here the force is acting on the forked end is calculated using 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). To calculate Shear Stress in Roller Pin of Forked End of Rocker Arm, you need Bearing Pressure for Roller Pin (Pb_pin), Diameter of Roller Pin (d₂) & Length of Roller Pin (l₂). With our tool, you need to enter the respective value for Bearing Pressure for Roller Pin, Diameter of 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 Shear Stress in Roller Pin?

In this formula, Shear Stress in Roller Pin uses Bearing Pressure for Roller Pin, Diameter of Roller Pin & Length of Roller Pin. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Roller Pin = (2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2)

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