Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure Calculator

✖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.ⓘ Force at Fulcrum Pin [R_f]			+10% -10%
✖Length of Fulcrum Pin is the total length of the pin used at the fulcrum joint.ⓘ Length of Fulcrum Pin [l₁]			+10% -10%
✖Bearing Pressure for Fulcrum 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 Fulcrum Pin [P_b]			+10% -10%

✖Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.ⓘ Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure [d₁]

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Formula

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Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure

Formula

`"d"_{"1"} = "R"_{"f"}/("l"_{"1"}*"P"_{"b"})`

Example

`"24.43377mm"="3560N"/("31mm"*"4.7N/mm²")`

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Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)
d₁ = R_f/(l₁*P_b)
This formula uses 4 Variables

Variables Used

Diameter of Fulcrum Pin - (Measured in Meter) - Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.
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.
Length of Fulcrum Pin - (Measured in Meter) - Length of Fulcrum Pin is the total length of the pin used at the fulcrum joint.
Bearing Pressure for Fulcrum Pin - (Measured in Pascal) - Bearing Pressure for Fulcrum Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them.

STEP 1: Convert Input(s) to Base Unit

Force at Fulcrum Pin: 3560 Newton --> 3560 Newton No Conversion Required
Length of Fulcrum Pin: 31 Millimeter --> 0.031 Meter (Check conversion here)
Bearing Pressure for Fulcrum Pin: 4.7 Newton per Square Millimeter --> 4700000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = R_f/(l₁*P_b) --> 3560/(0.031*4700000)

Evaluating ... ...

d₁ = 0.0244337680164722

STEP 3: Convert Result to Output's Unit

0.0244337680164722 Meter -->24.4337680164722 Millimeter (Check conversion here)

FINAL ANSWER

24.4337680164722 ≈ 24.43377 Millimeter <-- Diameter of Fulcrum Pin

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Design of Fulcrum Pin » Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure

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

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< 17 Design of Fulcrum Pin Calculators

Length of Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin

Go Length of Fulcrum Pin = 1.25*sqrt((2*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)))/(pi*Shear Stress in Fulcrum Pin))

Diameter of Fulcrum Pin of Rocker Arm Considering Double Shear Failure of Pin

Go Diameter of Fulcrum Pin = sqrt((2*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)))/(pi*Shear Stress in Fulcrum Pin))

Shear Stress in Fulcrum Pin of Rocker Arm

Go Shear Stress in Fulcrum Pin = (2*(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)))/(pi*Diameter of Fulcrum Pin^2))

Angle between Two Arms of Rocker Arm

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

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

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

Length of Fulcrum Pin of Rocker Arm given Reaction at Pin

Go Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))

Diameter of Fulcrum Pin of Rocker Arm given Reaction at Pin

Go Diameter of Fulcrum Pin = sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))

Bearing Pressure at Fulcrum Pin of Rocker Arm

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

Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure

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

Length of Fulcrum Pin of Rocker Arm given Bearing Pressure

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

Reaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure

Go Force at Fulcrum Pin = Diameter of Fulcrum Pin*Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin

Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin

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

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

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

Outside Diameter of Boss of Rocker Arm at Fulcrum Pin

Go Outside Diameter of Boss of Rocker Arm = 2*Diameter of Fulcrum Pin

Length of Fulcrum Pin of Rocker Arm given Diameter of Fulcrum Pin

Go Length of Fulcrum Pin = Diameter of Fulcrum Pin*1.25

Diameter of Fulcrum Pin of Rocker Arm given Length of Fulcrum Pin

Go Diameter of Fulcrum Pin = Length of Fulcrum Pin/1.25

Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure Formula

Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)
d₁ = R_f/(l₁*P_b)

Function of a rocker arm in IC Engine

The basic function of the rocker arm is to open or close the inlet or exhaust valve with respect to the motion of the cam and follower. 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.

How to Calculate Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure?

Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure calculator uses Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin) to calculate the Diameter of Fulcrum Pin, The Diameter of fulcrum pin of rocker arm given bearing pressure is the diameter of the fulcrum pin used at the fulcrum joint of the two rocker arms. Diameter of Fulcrum Pin is denoted by d₁ symbol.

How to calculate Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure using this online calculator? To use this online calculator for Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure, enter Force at Fulcrum Pin (R_f), Length of Fulcrum Pin (l₁) & Bearing Pressure for Fulcrum Pin (P_b) and hit the calculate button. Here is how the Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure calculation can be explained with given input values -> 24433.77 = 3560/(0.031*4700000).

FAQ

What is Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure?

The Diameter of fulcrum pin of rocker arm given bearing pressure is the diameter of the fulcrum pin used at the fulcrum joint of the two rocker arms and is represented as d₁ = R_f/(l₁*P_b) or Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin). 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, Length of Fulcrum Pin is the total length of the pin used at the fulcrum joint & Bearing Pressure for Fulcrum Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them.

How to calculate Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure?

The Diameter of fulcrum pin of rocker arm given bearing pressure is the diameter of the fulcrum pin used at the fulcrum joint of the two rocker arms is calculated using Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin). To calculate Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure, you need Force at Fulcrum Pin (R_f), Length of Fulcrum Pin (l₁) & Bearing Pressure for Fulcrum Pin (P_b). With our tool, you need to enter the respective value for Force at Fulcrum Pin, Length of Fulcrum Pin & Bearing Pressure for 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 Diameter of Fulcrum Pin?

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

Diameter of Fulcrum Pin = Length of Fulcrum Pin/1.25
Diameter of Fulcrum Pin = sqrt((2*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)))/(pi*Shear Stress in Fulcrum Pin))
Diameter of Fulcrum Pin = sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))

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