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Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of 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 = \sqrt{\frac{2 \cdot P c}{π \cdot τ r}}

d₂ - Diameter of Roller Pin?P_c - Force on Roller Pin?τ_r - Shear Stress in Roller Pin?π - Archimedes' constant?

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

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Here is how the Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin equation looks like with Values.

Here is how the Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin equation looks like with Units.

Here is how the Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin equation looks like.

20.9207 = \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8}}

20.9207mm = \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8N/mm²}}

20.9207 = \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8}}

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

Follow our step by step solution on how to calculate Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = \sqrt{\frac{2 \cdot 1925N}{π \cdot 2.8N/mm²}}

Next Step Substitute values of Constants

∴

d 2 = \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8N/mm²}}

Next Step Convert Units

∴

d 2 = \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8E+6Pa}}

Next Step Prepare to Evaluate

∴

d 2 = \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8E+6}}

Next Step Evaluate

∴

d 2 = 0.02092070967971m

Next Step Convert to Output's Unit

∴

d 2 = 20.92070967971mm

LAST Step Rounding Answer

∴

d 2 = 20.9207mm

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

Variables

Constants

Functions

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

Force on Roller Pin

Force on Roller Pin is the force acting onto the roller pin ( the pivot about which a lever rolls freely) used as a joint.

Symbol: P_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on 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

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 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 given Force at Roller Pin

d 2 = \frac{2 \cdot Pb p \cdot l 2}{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 Considering Double Shear Failure of Pin?

Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin evaluator uses Diameter of Roller Pin = sqrt((2*Force on 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 considering double shear failure of 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 Considering Double Shear Failure of Pin using this online evaluator? To use this online evaluator for Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin, enter Force on Roller Pin (P_c) & Shear Stress in Roller Pin (τ_r) and hit the calculate button.

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

What is the formula to find Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

The formula of Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin is expressed as Diameter of Roller Pin = sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)). Here is an example- 20920.71 = sqrt((2*1925)/(pi*2800000)).

How to calculate Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

With Force on Roller Pin (P_c) & Shear Stress in Roller Pin (τ_r) we can find Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin using the formula - Diameter of Roller Pin = sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=(2*Bearing Pressure for Roller Pin*Length of Roller Pin)/(pi*Shear Stress in Roller Pin)

Can the Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin be negative?

No, the Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin, measured in Length cannot be negative.

Which unit is used to measure Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

Diameter of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of 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 Considering Double Shear Failure of Pin can be measured.

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

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

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

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