Force on 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%

✖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 of Forked End of Rocker Arm [P_c]

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Formula

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Force on Roller Pin of Forked End of Rocker Arm

Formula

`"P"_{"c"} = "Pb"_{"pin"}*"d"_{"2"}*"l"_{"2"}`

Example

`"1928.16N"="3.6N/mm²"*"20.6mm"*"26mm"`

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Force on Roller Pin of Forked End of Rocker Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin
P_c = Pb_pin*d₂*l₂
This formula uses 4 Variables

Variables Used

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.
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

P_c = Pb_pin*d₂*l₂ --> 3600000*0.0206*0.026

Evaluating ... ...

P_c = 1928.16

STEP 3: Convert Result to Output's Unit

1928.16 Newton --> No Conversion Required

FINAL ANSWER

1928.16 Newton <-- Force on Roller Pin

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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

Force on Roller Pin of Forked End of Rocker Arm Formula

Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin
P_c = Pb_pin*d₂*l₂

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 Force on Roller Pin of Forked End of Rocker Arm?

Force on Roller Pin of Forked End of Rocker Arm calculator uses Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin to calculate the Force on Roller Pin, The Force on roller pin of forked end of rocker arm is the force acting onto the roller pin (the pivot about which a lever rolls) used as a joint at a roller point. Force on Roller Pin is denoted by P_c symbol.

How to calculate Force on Roller Pin of Forked End of Rocker Arm using this online calculator? To use this online calculator for Force on 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 Force on Roller Pin of Forked End of Rocker Arm calculation can be explained with given input values -> 1928.16 = 3600000*0.0206*0.026.

FAQ

What is Force on Roller Pin of Forked End of Rocker Arm?

The Force on roller pin of forked end of rocker arm is the force acting onto the roller pin (the pivot about which a lever rolls) used as a joint at a roller point and is represented as P_c = Pb_pin*d₂*l₂ or Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of 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, 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 Force on Roller Pin of Forked End of Rocker Arm?

The Force on roller pin of forked end of rocker arm is the force acting onto the roller pin (the pivot about which a lever rolls) used as a joint at a roller point is calculated using Force on Roller Pin = Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin. To calculate Force on 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 Force on Roller Pin?

In this formula, Force on 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 -

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

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