Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin Calculator

✖Shear Stress in Fulcrum 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 parallel to the imposed stress.ⓘ Shear Stress in Fulcrum Pin [τ_f]			+10% -10%
✖Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.ⓘ Diameter of Fulcrum Pin [d₁]			+10% -10%

✖Force at Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.ⓘ Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin [R_f]

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Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2
R_f = (τ_f*pi*d₁^2)/2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Force at Fulcrum Pin - (Measured in Newton) - Force at Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.
Shear Stress in Fulcrum Pin - (Measured in Pascal) - Shear Stress in Fulcrum 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 parallel to the imposed stress.
Diameter of Fulcrum Pin - (Measured in Meter) - Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.

STEP 1: Convert Input(s) to Base Unit

Shear Stress in Fulcrum Pin: 3.66 Newton per Square Millimeter --> 3660000 Pascal (Check conversion here)
Diameter of Fulcrum Pin: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_f = (τ_f*pi*d₁^2)/2 --> (3660000*pi*0.025^2)/2

Evaluating ... ...

R_f = 3593.19659754333

STEP 3: Convert Result to Output's Unit

3593.19659754333 Newton --> No Conversion Required

FINAL ANSWER

3593.19659754333 ≈ 3593.197 Newton <-- Force at Fulcrum Pin

(Calculation completed in 00.008 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Mechanical » Design of Fulcrum Pin » Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin

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

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< Design of Fulcrum Pin Calculators

Angle between Two Arms of Rocker Arm

LaTeX Go Angle Between Rocker Arms = pi-arccos(-(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-Force at Fulcrum Pin^2)/(2*Total Force on Rocker Arm of Exhaust Valve*Force on Roller Pin))

Reaction at Fulcrum Pin of Rocker Arm

LaTeX Go Force at Fulcrum Pin = sqrt(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-2*Force on Roller Pin*Total Force on Rocker Arm of Exhaust Valve*cos(Angle Between Rocker Arms))

Reaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths

LaTeX Go Force at Fulcrum Pin = Total Force on Rocker Arm of Exhaust Valve*sqrt(2*(1-cos(Angle Between Rocker Arms)))

Bearing Pressure at Fulcrum Pin of Rocker Arm

LaTeX Go Bearing Pressure for Fulcrum Pin = (Force at Fulcrum Pin)/(Diameter of Fulcrum Pin*Length of Fulcrum Pin)

Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin Formula

LaTeX Go

Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2
R_f = (τ_f*pi*d₁^2)/2

Design of Rocker Arm

It is a two-arm lever with the fulcrum in the middle. One end of the rocker arm that is actuated by the cam is forked and carries a roller. The other arm of the rocker arm consists of a plain boss where a tappet is screwed. In order to reduce the weight and inertia force, the cross-section of the rocker arm is I-section. The arms of the rocker arm are made of uniform strength by tapering the width and depth dimensions. However, the thickness of the web and flanges is kept uniform. Rocker arms are made of grey cast iron, malleable cast iron, or cast steel.

How to Calculate Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin?

Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin calculator uses Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2 to calculate the Force at Fulcrum Pin, The Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin is the reaction force acting onto the fulcrum pin ( the pivot about which a lever turns) used as a joint at a fulcrum point, as a result of force due to exhaust valve reaction and force on the roller pin. Force at Fulcrum Pin is denoted by R_f symbol.

How to calculate Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin using this online calculator? To use this online calculator for Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin, enter Shear Stress in Fulcrum Pin (τ_f) & Diameter of Fulcrum Pin (d₁) and hit the calculate button. Here is how the Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin calculation can be explained with given input values -> 3593.197 = (3660000*pi*0.025^2)/2.

FAQ

What is Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin?

The Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin is the reaction force acting onto the fulcrum pin ( the pivot about which a lever turns) used as a joint at a fulcrum point, as a result of force due to exhaust valve reaction and force on the roller pin and is represented as R_f = (τ_f*pi*d₁^2)/2 or Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2. Shear Stress in Fulcrum 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 parallel to the imposed stress & Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.

How to calculate Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin?

The Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin is the reaction force acting onto the fulcrum pin ( the pivot about which a lever turns) used as a joint at a fulcrum point, as a result of force due to exhaust valve reaction and force on the roller pin is calculated using Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2. To calculate Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin, you need Shear Stress in Fulcrum Pin (τ_f) & Diameter of Fulcrum Pin (d₁). With our tool, you need to enter the respective value for Shear Stress in Fulcrum Pin & Diameter of Fulcrum 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 at Fulcrum Pin?

In this formula, Force at Fulcrum Pin uses Shear Stress in Fulcrum Pin & Diameter of Fulcrum Pin. We can use 3 other way(s) to calculate the same, which is/are as follows -

Force at Fulcrum Pin = sqrt(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-2*Force on Roller Pin*Total Force on Rocker Arm of Exhaust Valve*cos(Angle Between Rocker Arms))
Force at Fulcrum Pin = Total Force on Rocker Arm of Exhaust Valve*sqrt(2*(1-cos(Angle Between Rocker Arms)))
Force at Fulcrum Pin = Diameter of Fulcrum Pin*Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin

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