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Length of Fulcrum Pin is the total length of the pin used at the fulcrum joint. Check FAQs
l1=1.252Rfπτf
l1 - Length of Fulcrum Pin?Rf - Force at Fulcrum Pin?τf - Shear Stress in Fulcrum Pin?π - Archimedes' constant?

Length of Fulcrum Pin of Rocker Arm given Reaction at Pin Example

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With units
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Here is how the Length of Fulcrum Pin of Rocker Arm given Reaction at Pin equation looks like with Values.

Here is how the Length of Fulcrum Pin of Rocker Arm given Reaction at Pin equation looks like with Units.

Here is how the Length of Fulcrum Pin of Rocker Arm given Reaction at Pin equation looks like.

31.1053Edit=1.2523560Edit3.14163.66Edit
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Length of Fulcrum Pin of Rocker Arm given Reaction at Pin Solution

Follow our step by step solution on how to calculate Length of Fulcrum Pin of Rocker Arm given Reaction at Pin?

FIRST Step Consider the formula
l1=1.252Rfπτf
Next Step Substitute values of Variables
l1=1.2523560Nπ3.66N/mm²
Next Step Substitute values of Constants
l1=1.2523560N3.14163.66N/mm²
Next Step Convert Units
l1=1.2523560N3.14163.7E+6Pa
Next Step Prepare to Evaluate
l1=1.25235603.14163.7E+6
Next Step Evaluate
l1=0.0311053097737149m
Next Step Convert to Output's Unit
l1=31.1053097737149mm
LAST Step Rounding Answer
l1=31.1053mm

Length of Fulcrum Pin of Rocker Arm given Reaction at Pin Formula Elements

Variables
Constants
Functions
Length of Fulcrum Pin
Length of Fulcrum Pin is the total length of the pin used at the fulcrum joint.
Symbol: l1
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Force at 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.
Symbol: Rf
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Shear Stress in Fulcrum Pin
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.
Symbol: τf
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Length of Fulcrum Pin

​Go Length of Fulcrum Pin of Rocker Arm given Bearing Pressure
l1=Rfd1Pbf
​Go Length of Fulcrum Pin of Rocker Arm given Diameter of Fulcrum Pin
l1=d11.25
​Go Length of Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin
l1=1.252Pe2+Pc2-2PcPecos(θ)πτf

Other formulas in Design of Fulcrum Pin category

​Go Reaction at Fulcrum Pin of Rocker Arm
Rf=Pe2+Pc2-2PcPecos(θ)
​Go Reaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths
Rf=Pe2(1-cos(θ))
​Go Angle between Two Arms of Rocker Arm
θ=π-arccos(-Pe2+Pc2-Rf22PePc)
​Go Bearing Pressure at Fulcrum Pin of Rocker Arm
Pbf=Rfd1l1

How to Evaluate Length of Fulcrum Pin of Rocker Arm given Reaction at Pin?

Length of Fulcrum Pin of Rocker Arm given Reaction at Pin evaluator uses Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin)) to evaluate the Length of Fulcrum Pin, The Length of Fulcrum Pin of Rocker Arm given Reaction at Pin 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 evaluate Length of Fulcrum Pin of Rocker Arm given Reaction at Pin using this online evaluator? To use this online evaluator for Length of Fulcrum Pin of Rocker Arm given Reaction at Pin, enter Force at Fulcrum Pin (Rf) & Shear Stress in Fulcrum Pin f) and hit the calculate button.

FAQs on Length of Fulcrum Pin of Rocker Arm given Reaction at Pin

What is the formula to find Length of Fulcrum Pin of Rocker Arm given Reaction at Pin?
The formula of Length of Fulcrum Pin of Rocker Arm given Reaction at Pin is expressed as Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin)). Here is an example- 31105.31 = 1.25*sqrt((2*3560)/(pi*3660000)).
How to calculate Length of Fulcrum Pin of Rocker Arm given Reaction at Pin?
With Force at Fulcrum Pin (Rf) & Shear Stress in Fulcrum Pin f) we can find Length of Fulcrum Pin of Rocker Arm given Reaction at Pin using the formula - Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
What are the other ways to Calculate Length of Fulcrum Pin?
Here are the different ways to Calculate Length of Fulcrum Pin-
  • Length of Fulcrum Pin=Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)OpenImg
  • Length of Fulcrum Pin=Diameter of Fulcrum Pin*1.25OpenImg
  • 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))OpenImg
Can the Length of Fulcrum Pin of Rocker Arm given Reaction at Pin be negative?
No, the Length of Fulcrum Pin of Rocker Arm given Reaction at Pin, measured in Length cannot be negative.
Which unit is used to measure Length of Fulcrum Pin of Rocker Arm given Reaction at Pin?
Length of Fulcrum Pin of Rocker Arm given Reaction at Pin is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Fulcrum Pin of Rocker Arm given Reaction at Pin can be measured.
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