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

GoDiameter of Roller Pin at Forked End of Rocker Arm Formula

GoDiameter of Roller Pin at Forked End of Rocker Arm given its Length Formula

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

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

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

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

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

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

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

21.2813 = \frac{2 \cdot 3.6 \cdot 26}{3.1416 \cdot 2.8}

21.2813mm = \frac{2 \cdot 3.6N/mm² \cdot 26mm}{3.1416 \cdot 2.8N/mm²}

21.2813 = \frac{2 \cdot 3.6 \cdot 26}{3.1416 \cdot 2.8}

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Diameter 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 Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = \frac{2 \cdot 3.6N/mm² \cdot 26mm}{π \cdot 2.8N/mm²}

Next Step Substitute values of Constants

∴

d 2 = \frac{2 \cdot 3.6N/mm² \cdot 26mm}{3.1416 \cdot 2.8N/mm²}

Next Step Convert Units

∴

d 2 = \frac{2 \cdot 3.6E+6Pa \cdot 0.026m}{3.1416 \cdot 2.8E+6Pa}

Next Step Prepare to Evaluate

∴

d 2 = \frac{2 \cdot 3.6E+6 \cdot 0.026}{3.1416 \cdot 2.8E+6}

Next Step Evaluate

∴

d 2 = 0.0212812895334306m

Next Step Convert to Output's Unit

∴

d 2 = 21.2812895334306mm

LAST Step Rounding Answer

∴

d 2 = 21.2813mm

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

Variables

Constants

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

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

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 Diameter of Roller Pin

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}

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

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

Go Diameter of Roller Pin of Forked End of Rocker Arm given Outer Diameter of Eye of Roller Pin

d 2 = \frac{D 2}{2}

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 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

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

Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin evaluator uses Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin) to evaluate the Diameter of Roller Pin, The Diameter of roller pin of forked end of rocker arm given force at roller pin is the diameter of the roller pin used at the roller joint of the rocker arm at its forked end. Diameter of Roller Pin is denoted by d₂ symbol.

How to evaluate Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin using this online evaluator? To use this online evaluator for Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin, enter Bearing Pressure for Roller Pin (Pb_p), Length of Roller Pin (l₂) & Shear Stress in Roller Pin (τ_r) and hit the calculate button.

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

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

The formula of Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin is expressed as Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin). Here is an example- 21281.29 = (2*3600000*0.026)/(pi*2800000).

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

With Bearing Pressure for Roller Pin (Pb_p), Length of Roller Pin (l₂) & Shear Stress in Roller Pin (τ_r) we can find Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin using the formula - Diameter of Roller Pin = (2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin). This formula also uses Archimedes' constant .

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

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

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

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

No, the Diameter 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 Diameter of Roller Pin of Forked End of Rocker Arm given Force at Roller Pin?

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

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

​GoDiameter of Roller Pin at Forked End of Rocker Arm Formula

​GoDiameter of Roller Pin at Forked End of Rocker Arm given its Length Formula

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

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

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

Other Formulas to find Diameter of Roller Pin

Other formulas in Design of Forked End category

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

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

Variable Name

GoDiameter of Roller Pin at Forked End of Rocker Arm Formula

GoDiameter of Roller Pin at Forked End of Rocker Arm given its Length Formula