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Length of Roller Pin of Forked End of Rocker Arm Formula

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

GoLength of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin 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 \frac{P c}{Pb p \cdot d 2}

l₂ - Length of Roller Pin?P_c - Force on Roller Pin?Pb_p - Bearing Pressure for Roller Pin?d₂ - Diameter of Roller Pin?

Length of Roller Pin of Forked End of Rocker Arm Example

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

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

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

32.4467 = 1.25 \cdot \frac{1925}{3.6 \cdot 20.6}

32.4467mm = 1.25 \cdot \frac{1925N}{3.6N/mm² \cdot 20.6mm}

32.4467 = 1.25 \cdot \frac{1925}{3.6 \cdot 20.6}

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Length of Roller Pin of Forked End of Rocker Arm Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l 2 = 1.25 \cdot \frac{1925N}{3.6N/mm² \cdot 20.6mm}

Next Step Convert Units

∴

l 2 = 1.25 \cdot \frac{1925N}{3.6E+6Pa \cdot 0.0206m}

Next Step Prepare to Evaluate

∴

l 2 = 1.25 \cdot \frac{1925}{3.6E+6 \cdot 0.0206}

Next Step Evaluate

∴

l 2 = 0.032446736785329m

Next Step Convert to Output's Unit

∴

l 2 = 32.446736785329mm

LAST Step Rounding Answer

∴

l 2 = 32.4467mm

Length of Roller Pin of Forked End of Rocker Arm Formula Elements

Variables

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

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

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

Other Formulas to find Length of Roller Pin

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 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?

Length of Roller Pin of Forked End of Rocker Arm evaluator uses Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin) to evaluate the Length of Roller Pin, The Length of roller pin of forked end of rocker arm 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 using this online evaluator? To use this online evaluator for Length of Roller Pin of Forked End of Rocker Arm, enter Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Diameter of Roller Pin (d₂) and hit the calculate button.

FAQs on Length of Roller Pin of Forked End of Rocker Arm

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

The formula of Length of Roller Pin of Forked End of Rocker Arm is expressed as Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin). Here is an example- 32446.74 = 1.25*(1925)/(3600000*0.0206).

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

With Force on Roller Pin (P_c), Bearing Pressure for Roller Pin (Pb_p) & Diameter of Roller Pin (d₂) we can find Length of Roller Pin of Forked End of Rocker Arm using the formula - Length of Roller Pin = 1.25*(Force on Roller Pin)/(Bearing Pressure for Roller Pin*Diameter of Roller Pin).

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*Diameter of Roller Pin
Length of Roller Pin=1.25*sqrt((2*Force on Roller Pin)/(pi*Shear Stress in 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 be negative?

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

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

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

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Length of Roller Pin of Forked End of Rocker Arm Formula

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

​GoLength of Roller Pin of Forked End of Rocker Arm Considering Double Shear Failure of Pin Formula

Length of Roller Pin of Forked End of Rocker Arm Example

Length of Roller Pin of Forked End of Rocker Arm Solution

Length of Roller Pin of Forked End of Rocker Arm 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?

FAQs on Length of Roller Pin of Forked End of Rocker Arm

Variable Name

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

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