Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin Calculator

✖Diameter of Roller Pin is the diameter of the pin used at the roller joint.ⓘ Diameter of Roller Pin [d₂]			+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%

✖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 given Shear Stress in Roller Pin [P_c]

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Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2
P_c = (pi*d₂^2*τ_r)/2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Diameter of Roller Pin - (Measured in Meter) - Diameter of Roller Pin is the diameter 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

Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 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

P_c = (pi*d₂^2*τ_r)/2 --> (pi*0.0206^2*2800000)/2

Evaluating ... ...

P_c = 1866.43276186831

STEP 3: Convert Result to Output's Unit

1866.43276186831 Newton --> No Conversion Required

FINAL ANSWER

1866.43276186831 ≈ 1866.433 Newton <-- Force on Roller Pin

(Calculation completed in 00.007 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Mechanical » Design of Forked End » Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin

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Created by Saurabh Patil

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

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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

Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin Formula

LaTeX Go

Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2
P_c = (pi*d₂^2*τ_r)/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 Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin?

Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin calculator uses Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2 to calculate the Force on Roller Pin, The Force on roller pin of forked end of rocker arm given shear stress in roller pin 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 given Shear Stress in Roller Pin using this online calculator? To use this online calculator for Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin, enter Diameter of Roller Pin (d₂) & Shear Stress in Roller Pin (τ_r) and hit the calculate button. Here is how the Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin calculation can be explained with given input values -> 1866.433 = (pi*0.0206^2*2800000)/2.

FAQ

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

The Force on roller pin of forked end of rocker arm given shear stress in roller pin 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 = (pi*d₂^2*τ_r)/2 or Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2. Diameter of Roller Pin is the diameter 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 Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin?

The Force on roller pin of forked end of rocker arm given shear stress in roller pin 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 = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2. To calculate Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin, you need Diameter of Roller Pin (d₂) & Shear Stress in Roller Pin (τ_r). With our tool, you need to enter the respective value for Diameter 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 Force on Roller Pin?

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

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

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