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Shear Stress in Roller Pin of Forked End of Rocker Arm Formula

GoShear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin Formula

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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. Check FAQs

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

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

Shear Stress in Roller Pin of Forked End of Rocker Arm Example

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

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

Here is how the Shear Stress in Roller Pin of Forked End of Rocker Arm equation looks like.

2.8926 = \frac{2 \cdot 3.6 \cdot 20.6 \cdot 26}{3.1416 \cdot {20.6}^{2}}

2.8926N/mm² = \frac{2 \cdot 3.6N/mm² \cdot 20.6mm \cdot 26mm}{3.1416 \cdot {20.6mm}^{2}}

2.8926 = \frac{2 \cdot 3.6 \cdot 20.6 \cdot 26}{3.1416 \cdot {20.6}^{2}}

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Shear Stress in Roller Pin of Forked End of Rocker Arm Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ r = \frac{2 \cdot 3.6N/mm² \cdot 20.6mm \cdot 26mm}{π \cdot {20.6mm}^{2}}

Next Step Substitute values of Constants

∴

τ r = \frac{2 \cdot 3.6N/mm² \cdot 20.6mm \cdot 26mm}{3.1416 \cdot {20.6mm}^{2}}

Next Step Convert Units

∴

τ r = \frac{2 \cdot 3.6E+6Pa \cdot 0.0206m \cdot 0.026m}{3.1416 \cdot {0.0206m}^{2}}

Next Step Prepare to Evaluate

∴

τ r = \frac{2 \cdot 3.6E+6 \cdot 0.0206 \cdot 0.026}{3.1416 \cdot {0.0206}^{2}}

Next Step Evaluate

∴

τ r = 2892602.46085464Pa

Next Step Convert to Output's Unit

∴

τ r = 2.89260246085464N/mm²

LAST Step Rounding Answer

∴

τ r = 2.8926N/mm²

Shear Stress in Roller Pin of Forked End of Rocker Arm Formula Elements

Variables

Constants

Shear Stress in Roller Pin

Symbol: τ_r

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in 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

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

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 Shear Stress in Roller Pin

Go Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin

τ r = \frac{2 \cdot P c}{π \cdot {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 Diameter of Roller Pin at Forked End of Rocker Arm

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

How to Evaluate Shear Stress in Roller Pin of Forked End of Rocker Arm?

Shear Stress in Roller Pin of Forked End of Rocker Arm evaluator uses Shear Stress in Roller Pin = (2*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2) to evaluate the Shear Stress in Roller Pin, The Shear stress in roller pin of forked end of rocker arm is the shear stress induced into the roller 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. Here the force is acting on the forked end. Shear Stress in Roller Pin is denoted by τ_r symbol.

How to evaluate Shear Stress in Roller Pin of Forked End of Rocker Arm using this online evaluator? To use this online evaluator for Shear Stress in Roller Pin of Forked End of Rocker Arm, enter Bearing Pressure for Roller Pin (Pb_p), Diameter of Roller Pin (d₂) & Length of Roller Pin (l₂) and hit the calculate button.

FAQs on Shear Stress in Roller Pin of Forked End of Rocker Arm

What is the formula to find Shear Stress in Roller Pin of Forked End of Rocker Arm?

The formula of Shear Stress in Roller Pin of Forked End of Rocker Arm is expressed as Shear Stress in Roller Pin = (2*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2). Here is an example- 2.9E-6 = (2*3600000*0.0206*0.026)/(pi*0.0206^2).

How to calculate Shear Stress in Roller Pin of Forked End of Rocker Arm?

With Bearing Pressure for Roller Pin (Pb_p), Diameter of Roller Pin (d₂) & Length of Roller Pin (l₂) we can find Shear Stress in Roller Pin of Forked End of Rocker Arm using the formula - Shear Stress in Roller Pin = (2*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Shear Stress in Roller Pin?

Here are the different ways to Calculate Shear Stress in Roller Pin-

Shear Stress in Roller Pin=(2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2)

Can the Shear Stress in Roller Pin of Forked End of Rocker Arm be negative?

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

Which unit is used to measure Shear Stress in Roller Pin of Forked End of Rocker Arm?

Shear Stress in Roller Pin of Forked End of Rocker Arm is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Shear Stress in Roller Pin of Forked End of Rocker Arm can be measured.

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Shear Stress in Roller Pin of Forked End of Rocker Arm Formula

​GoShear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin Formula

Shear Stress in Roller Pin of Forked End of Rocker Arm Example

Shear Stress in Roller Pin of Forked End of Rocker Arm Solution

Shear Stress in Roller Pin of Forked End of Rocker Arm Formula Elements

Other Formulas to find Shear Stress in Roller Pin

Other formulas in Design of Forked End category

How to Evaluate Shear Stress in Roller Pin of Forked End of Rocker Arm?

FAQs on Shear Stress in Roller Pin of Forked End of Rocker Arm

Variable Name

GoShear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin Formula