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

GoForce on Roller Pin of Forked End of Rocker Arm Formula

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

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

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

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

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

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

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

1866.4328 = \frac{3.1416 \cdot {20.6}^{2} \cdot 2.8}{2}

1866.4328N = \frac{3.1416 \cdot {20.6mm}^{2} \cdot 2.8N/mm²}{2}

1866.4328 = \frac{3.1416 \cdot {20.6}^{2} \cdot 2.8}{2}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P c = \frac{π \cdot {20.6mm}^{2} \cdot 2.8N/mm²}{2}

Next Step Substitute values of Constants

∴

P c = \frac{3.1416 \cdot {20.6mm}^{2} \cdot 2.8N/mm²}{2}

Next Step Convert Units

∴

P c = \frac{3.1416 \cdot {0.0206m}^{2} \cdot 2.8E+6Pa}{2}

Next Step Prepare to Evaluate

∴

P c = \frac{3.1416 \cdot {0.0206}^{2} \cdot 2.8E+6}{2}

Next Step Evaluate

∴

P c = 1866.43276186831N

LAST Step Rounding Answer

∴

P c = 1866.4328N

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

Variables

Constants

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

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

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 Force on Roller Pin

Go Force on Roller Pin of Forked End of Rocker Arm

P c = Pb p \cdot d 2 \cdot l 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 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}

Go Length of Roller Pin of Forked End of Rocker Arm given its Diameter

l 2 = 1.25 \cdot d 2

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

Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin evaluator uses Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2 to evaluate the Force on Roller Pin, The Force on roller pin of forked end of rocker arm given shear stress in roller pin is the force acting onto the roller pin ( the pivot about which a lever rolls) used as a joint at a roller point. Force on Roller Pin is denoted by P_c symbol.

How to evaluate Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin using this online evaluator? To use this online evaluator for Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin, enter Diameter of Roller Pin (d₂) & Shear Stress in Roller Pin (τ_r) and hit the calculate button.

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

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

The formula of Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin is expressed as Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2. Here is an example- 1866.433 = (pi*0.0206^2*2800000)/2.

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

With Diameter of Roller Pin (d₂) & Shear Stress in Roller Pin (τ_r) we can find Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin using the formula - Force on Roller Pin = (pi*Diameter of Roller Pin^2*Shear Stress in Roller Pin)/2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Force on Roller Pin?

Here are the different ways to Calculate Force on Roller Pin-

Force on Roller Pin=Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin

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

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

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

Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force on Roller Pin of Forked End of Rocker Arm given Shear Stress in Roller Pin can be measured.

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

​GoForce on Roller Pin of Forked End of Rocker Arm Formula

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

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

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

Other Formulas to find Force on Roller Pin

Other formulas in Design of Forked End category

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

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

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GoForce on Roller Pin of Forked End of Rocker Arm Formula