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

GoShear Stress in Roller Pin of Forked End of Rocker Arm 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 P c}{π \cdot {d 2}^{2}}

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

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

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

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

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

2.8879 = \frac{2 \cdot 1925}{3.1416 \cdot {20.6}^{2}}

2.8879N/mm² = \frac{2 \cdot 1925N}{3.1416 \cdot {20.6mm}^{2}}

2.8879 = \frac{2 \cdot 1925}{3.1416 \cdot {20.6}^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ r = \frac{2 \cdot 1925N}{π \cdot {20.6mm}^{2}}

Next Step Substitute values of Constants

∴

τ r = \frac{2 \cdot 1925N}{3.1416 \cdot {20.6mm}^{2}}

Next Step Convert Units

∴

τ r = \frac{2 \cdot 1925N}{3.1416 \cdot {0.0206m}^{2}}

Next Step Prepare to Evaluate

∴

τ r = \frac{2 \cdot 1925}{3.1416 \cdot {0.0206}^{2}}

Next Step Evaluate

∴

τ r = 2887861.86682909Pa

Next Step Convert to Output's Unit

∴

τ r = 2.88786186682909N/mm²

LAST Step Rounding Answer

∴

τ r = 2.8879N/mm²

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

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

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

τ r = \frac{2 \cdot Pb p \cdot d 2 \cdot l 2}{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 given Force on Roller Pin?

Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin evaluator uses Shear Stress in Roller Pin = (2*Force on 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 given force on roller pin 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 given Force on Roller Pin using this online evaluator? To use this online evaluator for Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin, enter Force on Roller Pin (P_c) & Diameter of Roller Pin (d₂) and hit the calculate button.

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

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

The formula of Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin is expressed as Shear Stress in Roller Pin = (2*Force on Roller Pin)/(pi*Diameter of Roller Pin^2). Here is an example- 2.9E-6 = (2*1925)/(pi*0.0206^2).

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

With Force on Roller Pin (P_c) & Diameter of Roller Pin (d₂) we can find Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin using the formula - Shear Stress in Roller Pin = (2*Force on 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*Bearing Pressure for Roller Pin*Diameter of Roller Pin*Length of Roller Pin)/(pi*Diameter of Roller Pin^2)

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

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

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

Shear Stress in Roller Pin of Forked End of Rocker Arm given Force on Roller Pin 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 given Force on Roller Pin can be measured.

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

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

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

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

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

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

Variable Name

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