Length of Fulcrum Pin of Rocker Arm given Bearing Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)
l1 = Rf/(d1*Pbf)
This formula uses 4 Variables
Variables Used
Length of Fulcrum Pin - (Measured in Meter) - Length of Fulcrum Pin is the total length 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.
Diameter of Fulcrum Pin - (Measured in Meter) - Diameter of Fulcrum Pin is the diameter 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
Diameter of Fulcrum Pin: 25 Millimeter --> 0.025 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
l1 = Rf/(d1*Pbf) --> 3560/(0.025*4700000)
Evaluating ... ...
l1 = 0.0302978723404255
STEP 3: Convert Result to Output's Unit
0.0302978723404255 Meter -->30.2978723404255 Millimeter (Check conversion ​here)
FINAL ANSWER
30.2978723404255 30.29787 Millimeter <-- Length of Fulcrum Pin
(Calculation completed in 00.021 seconds)

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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)

Length of Fulcrum Pin of Rocker Arm given Bearing Pressure Formula

​LaTeX ​Go
Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)
l1 = Rf/(d1*Pbf)

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 Length of Fulcrum Pin of Rocker Arm given Bearing Pressure?

Length of Fulcrum Pin of Rocker Arm given Bearing Pressure calculator uses Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin) to calculate the Length of Fulcrum Pin, The Length of fulcrum pin of rocker arm given bearing pressure is the total length of the fulcrum pin used at the fulcrum joint of the two rocker arms. Length of Fulcrum Pin is denoted by l1 symbol.

How to calculate Length of Fulcrum Pin of Rocker Arm given Bearing Pressure using this online calculator? To use this online calculator for Length of Fulcrum Pin of Rocker Arm given Bearing Pressure, enter Force at Fulcrum Pin (Rf), Diameter of Fulcrum Pin (d1) & Bearing Pressure for Fulcrum Pin (Pbf) and hit the calculate button. Here is how the Length of Fulcrum Pin of Rocker Arm given Bearing Pressure calculation can be explained with given input values -> 30297.87 = 3560/(0.025*4700000).

FAQ

What is Length of Fulcrum Pin of Rocker Arm given Bearing Pressure?
The Length of fulcrum pin of rocker arm given bearing pressure is the total length of the fulcrum pin used at the fulcrum joint of the two rocker arms and is represented as l1 = Rf/(d1*Pbf) or Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter 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, Diameter of Fulcrum Pin is the diameter 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 Length of Fulcrum Pin of Rocker Arm given Bearing Pressure?
The Length of fulcrum pin of rocker arm given bearing pressure is the total length of the fulcrum pin used at the fulcrum joint of the two rocker arms is calculated using Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin). To calculate Length of Fulcrum Pin of Rocker Arm given Bearing Pressure, you need Force at Fulcrum Pin (Rf), Diameter of Fulcrum Pin (d1) & Bearing Pressure for Fulcrum Pin (Pbf). With our tool, you need to enter the respective value for Force at Fulcrum Pin, Diameter 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 Length of Fulcrum Pin?
In this formula, Length of Fulcrum Pin uses Force at Fulcrum Pin, Diameter of Fulcrum Pin & Bearing Pressure for Fulcrum Pin. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Fulcrum Pin = Diameter of Fulcrum Pin*1.25
  • 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))
  • Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))
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