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Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Formula

GoLength of Roller Pin of Forked End of Rocker Arm Formula

GoLength of Roller Pin of Forked End of Rocker Arm given its Diameter Formula

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Length of Roller Pin is the total length of the pin used at the roller joint. Check FAQs

l 2 = \frac{π \cdot τ r \cdot d 2}{2 \cdot Pb p}

l₂ - Length of Roller Pin?τ_r - Shear Stress in Roller Pin?d₂ - Diameter of Roller Pin?Pb_p - Bearing Pressure for Roller Pin?π - Archimedes' constant?

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Example

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Here is how the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin equation looks like with Values.

Here is how the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin equation looks like with Units.

Here is how the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin equation looks like.

25.1676 = \frac{3.1416 \cdot 2.8 \cdot 20.6}{2 \cdot 3.6}

25.1676mm = \frac{3.1416 \cdot 2.8N/mm² \cdot 20.6mm}{2 \cdot 3.6N/mm²}

25.1676 = \frac{3.1416 \cdot 2.8 \cdot 20.6}{2 \cdot 3.6}

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Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Solution

Follow our step by step solution on how to calculate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

FIRST Step Consider the formula

l 2 = \frac{π \cdot τ r \cdot d 2}{2 \cdot Pb p}

Next Step Substitute values of Variables

∴

l 2 = \frac{π \cdot 2.8N/mm² \cdot 20.6mm}{2 \cdot 3.6N/mm²}

Next Step Substitute values of Constants

∴

l 2 = \frac{3.1416 \cdot 2.8N/mm² \cdot 20.6mm}{2 \cdot 3.6N/mm²}

Next Step Convert Units

∴

l 2 = \frac{3.1416 \cdot 2.8E+6Pa \cdot 0.0206m}{2 \cdot 3.6E+6Pa}

Next Step Prepare to Evaluate

∴

l 2 = \frac{3.1416 \cdot 2.8E+6 \cdot 0.0206}{2 \cdot 3.6E+6}

Next Step Evaluate

∴

l 2 = 0.0251676478137582m

Next Step Convert to Output's Unit

∴

l 2 = 25.1676478137582mm

LAST Step Rounding Answer

∴

l 2 = 25.1676mm

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Formula Elements

Variables

Constants

Length of Roller Pin

Length of Roller Pin is the total length of the pin used at the roller joint.

Symbol: l₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Roller Pin

Shear Stress in Roller Pin

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.

Symbol: τ_r

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Roller Pin

Diameter of Roller Pin

Diameter of Roller Pin is the diameter of the pin used at the roller joint.

Symbol: d₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Roller Pin

Bearing Pressure for Roller Pin

Bearing Pressure for Roller Pin is the compressive force acting on the contact area between two components of the pin having no relative motion between them.

Symbol: Pb_p

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bearing Pressure for Roller Pin

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

Other Formulas to find Length of Roller Pin

Go Length of Roller Pin of Forked End of Rocker Arm

l 2 = 1.25 \cdot \frac{P c}{Pb p \cdot d 2}

Go Length of Roller Pin of Forked End of Rocker Arm given its Diameter

l 2 = 1.25 \cdot d 2

Go Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin

l 2 = 1.25 \cdot \sqrt{\frac{2 \cdot P c}{π \cdot τ r}}

Go Length of Roller Pin at Forked End of Rocker Arm given Thickness of Eye of Roller Pin

l 2 = 2 \cdot T

Other formulas in Design of Forked End category

Go Bearing Pressure at Roller Pin of Forked End of Rocker Arm

Pb p = \frac{P c}{d 2 \cdot l 2}

Go Force on Roller Pin of Forked End of Rocker Arm

P c = Pb p \cdot d 2 \cdot l 2

Go Diameter of Roller Pin at Forked End of Rocker Arm

d 2 = \frac{P c}{Pb p \cdot l 2}

Go Diameter of Roller Pin at Forked End of Rocker Arm given its Length

d 2 = \frac{l 2}{1.25}

How to Evaluate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin evaluator uses Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin) to evaluate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm given force at roller pin is the total length of the roller pin used at the roller joint of the rocker arm at its forked end. Length of Roller Pin is denoted by l₂ symbol.

How to evaluate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin using this online evaluator? To use this online evaluator for Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, enter Shear Stress in Roller Pin (τ_r), Diameter of Roller Pin (d₂) & Bearing Pressure for Roller Pin (Pb_p) and hit the calculate button.

FAQs on Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

What is the formula to find Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

The formula of Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin is expressed as Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin). Here is an example- 25167.65 = (pi*2800000*0.0206)/(2*3600000).

How to calculate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

With Shear Stress in Roller Pin (τ_r), Diameter of Roller Pin (d₂) & Bearing Pressure for Roller Pin (Pb_p) we can find Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin using the formula - Length of Roller Pin = (pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin). This formula also uses Archimedes' constant .

What are the other ways to Calculate Length of Roller Pin?

Here are the different ways to Calculate Length of Roller Pin-

Length of Roller Pin=1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin)
Length of Roller Pin=1.25*Diameter of Roller Pin
Length of Roller Pin=1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin))

Can the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin be negative?

No, the Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, measured in Length cannot be negative.

Which unit is used to measure Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller 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 Roller Pin of Forked End of Rocker Arm given Force at Roller Pin can be measured.

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Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Formula

​GoLength of Roller Pin of Forked End of Rocker Arm Formula

​GoLength of Roller Pin of Forked End of Rocker Arm given its Diameter Formula

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Example

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Solution

Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin Formula Elements

Other Formulas to find Length of Roller Pin

Other formulas in Design of Forked End category

How to Evaluate Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

FAQs on Length of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin

Variable Name

GoLength of Roller Pin of Forked End of Rocker Arm Formula

GoLength of Roller Pin of Forked End of Rocker Arm given its Diameter Formula