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Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Formula

GoBending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm Formula

GoMaximum Bending Moment in Roller Pin of Forked End of Rocker Arm Formula

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Bending Moment in Roller Pin is the amount of bending moment in the roller pin used with a roller joint to allow freedom of turning. Check FAQs

M b = \frac{π \cdot {d 2}^{3} \cdot σ bp}{32}

M_b - Bending Moment in Roller Pin?d₂ - Diameter of Roller Pin?σ_bp - Bending Stress in Roller Pin?π - Archimedes' constant?

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Example

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Here is how the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress equation looks like with Values.

Here is how the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress equation looks like with Units.

Here is how the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress equation looks like.

10985.29 = \frac{3.1416 \cdot {20.6}^{3} \cdot 12.8}{32}

10985.29N*mm = \frac{3.1416 \cdot {20.6mm}^{3} \cdot 12.8N/mm²}{32}

10985.29 = \frac{3.1416 \cdot {20.6}^{3} \cdot 12.8}{32}

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Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Solution

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

FIRST Step Consider the formula

M b = \frac{π \cdot {d 2}^{3} \cdot σ bp}{32}

Next Step Substitute values of Variables

∴

M b = \frac{π \cdot {20.6mm}^{3} \cdot 12.8N/mm²}{32}

Next Step Substitute values of Constants

∴

M b = \frac{3.1416 \cdot {20.6mm}^{3} \cdot 12.8N/mm²}{32}

Next Step Convert Units

∴

M b = \frac{3.1416 \cdot {0.0206m}^{3} \cdot 1.3E+7Pa}{32}

Next Step Prepare to Evaluate

∴

M b = \frac{3.1416 \cdot {0.0206}^{3} \cdot 1.3E+7}{32}

Next Step Evaluate

∴

M b = 10.9852899698535N*m

Next Step Convert to Output's Unit

∴

M b = 10985.2899698535N*mm

LAST Step Rounding Answer

∴

M b = 10985.29N*mm

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Formula Elements

Variables

Constants

Bending Moment in Roller Pin

Bending Moment in Roller Pin is the amount of bending moment in the roller pin used with a roller joint to allow freedom of turning.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in 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

Bending Stress in Roller Pin

Bending Stress in Roller Pin is the amount of bending stress in the roller pin used with a roller joint to allow freedom of turning.

Symbol: σ_bp

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending 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 Bending Moment in Roller Pin

Go Bending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm

M b = \frac{5}{24} \cdot (P c \cdot l 2)

Go Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm

M b = \frac{5}{24} \cdot P c \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 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 Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress?

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress evaluator uses Bending Moment in Roller Pin = (pi*Diameter of Roller Pin^3*Bending Stress in Roller Pin)/32 to evaluate the Bending Moment in Roller Pin, The Maximum Bending Moment in roller pin of forked end of rocker arm given bending stress is the maximum amount of bending moment in the roller pin used with a roller joint in the rocker arm of the IC Engine valve mechanism to allow freedom of turning. Bending Moment in Roller Pin is denoted by M_b symbol.

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

FAQs on Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress

What is the formula to find Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress?

The formula of Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress is expressed as Bending Moment in Roller Pin = (pi*Diameter of Roller Pin^3*Bending Stress in Roller Pin)/32. Here is an example- 2.1E+7 = (pi*0.0206^3*12800000)/32.

How to calculate Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress?

With Diameter of Roller Pin (d₂) & Bending Stress in Roller Pin (σ_bp) we can find Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress using the formula - Bending Moment in Roller Pin = (pi*Diameter of Roller Pin^3*Bending Stress in Roller Pin)/32. This formula also uses Archimedes' constant .

What are the other ways to Calculate Bending Moment in Roller Pin?

Here are the different ways to Calculate Bending Moment in Roller Pin-

Bending Moment in Roller Pin=5/24*(Force on Roller Pin*Length of Roller Pin)
Bending Moment in Roller Pin=5/24*Force on Roller Pin*Length of Roller Pin

Can the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress be negative?

No, the Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress, measured in Torque cannot be negative.

Which unit is used to measure Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress?

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress can be measured.

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Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Formula

​GoBending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm Formula

​GoMaximum Bending Moment in Roller Pin of Forked End of Rocker Arm Formula

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Example

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Solution

Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress Formula Elements

Other Formulas to find Bending Moment in Roller Pin

Other formulas in Design of Forked End category

How to Evaluate Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress?

FAQs on Maximum Bending Moment in Roller Pin of Forked End of Rocker Arm given Bending Stress

Variable Name

GoBending Moment in Central Plane of Roller Pin of Forked End of Rocker Arm Formula

GoMaximum Bending Moment in Roller Pin of Forked End of Rocker Arm Formula