Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller 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%
✖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 of Forked End of Rocker Arm given Force on Roller Pin [τ_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Force on Roller Pin: 1925 Newton --> 1925 Newton No Conversion Required
Diameter of Roller Pin: 20.6 Millimeter --> 0.0206 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_r = (2*P_c)/(pi*d₂^2) --> (2*1925)/(pi*0.0206^2)

Evaluating ... ...

τ_r = 2887861.86682909

STEP 3: Convert Result to Output's Unit

2887861.86682909 Pascal -->2.88786186682909 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

2.88786186682909 ≈ 2.887862 Newton per Square Millimeter <-- Shear Stress in Roller Pin

(Calculation completed in 00.013 seconds)

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

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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

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

LaTeX Go

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

Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin calculator uses Shear Stress in Roller Pin = (2*Force on 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 given force on roller pin 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_r symbol.

How to calculate Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin using this online calculator? To use this online calculator for Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin, enter Force on Roller Pin (P_c) & Diameter of Roller Pin (d₂) and hit the calculate button. Here is how the Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin calculation can be explained with given input values -> 2.9E-6 = (2*1925)/(pi*0.0206^2).

FAQ

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

The Shear stress in roller pin of forked end of rocker arm given force on roller pin 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_r = (2*P_c)/(pi*d₂^2) or Shear Stress in Roller Pin = (2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2). 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 is the diameter of the pin used at the roller joint.

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

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

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