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Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of 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 = 1.25 \cdot \sqrt{\frac{2 \cdot P c}{π \cdot τ r}}

l₂ - Length of Roller Pin?P_c - Force on Roller Pin?τ_r - Shear Stress in Roller Pin?π - Archimedes' constant?

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

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

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

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

26.1509 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8}}

26.1509mm = 1.25 \cdot \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8N/mm²}}

26.1509 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8}}

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l 2 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925N}{π \cdot 2.8N/mm²}}

Next Step Substitute values of Constants

∴

l 2 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8N/mm²}}

Next Step Convert Units

∴

l 2 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925N}{3.1416 \cdot 2.8E+6Pa}}

Next Step Prepare to Evaluate

∴

l 2 = 1.25 \cdot \sqrt{\frac{2 \cdot 1925}{3.1416 \cdot 2.8E+6}}

Next Step Evaluate

∴

l 2 = 0.0261508870996375m

Next Step Convert to Output's Unit

∴

l 2 = 26.1508870996375mm

LAST Step Rounding Answer

∴

l 2 = 26.1509mm

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

Variables

Constants

Functions

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

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 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 given Force at Roller Pin

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

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 Considering Double Shear Failure of Pin?

Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin evaluator uses Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)) to evaluate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm considering double shear failure of 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 Considering Double Shear Failure of Pin using this online evaluator? To use this online evaluator for Length 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 Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin

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

The formula of Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin is expressed as Length of Roller Pin = 1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in Roller Pin)). Here is an example- 26150.89 = 1.25*sqrt((2*1925)/(pi*2800000)).

How to calculate Length 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 Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin using the formula - Length of Roller Pin = 1.25*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 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=(pi*Shear Stress in Roller Pin*Diameter of Roller Pin)/(2*Bearing Pressure for Roller Pin)

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

No, the Length 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 Length of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin?

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

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

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

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

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