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Reaction at Fulcrum Pin of Rocker Arm Formula

GoReaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths Formula

GoReaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure Formula

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Force at Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point. Check FAQs

R f = \sqrt{{P e}^{2} + {P c}^{2} - 2 \cdot P c \cdot P e \cdot \cos (θ)}

R_f - Force at Fulcrum Pin?P_e - Total Force on Rocker Arm of Exhaust Valve?P_c - Force on Roller Pin?θ - Angle Between Rocker Arms?

Reaction at Fulcrum Pin of Rocker Arm Example

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Here is how the Reaction at Fulcrum Pin of Rocker Arm equation looks like with Values.

Here is how the Reaction at Fulcrum Pin of Rocker Arm equation looks like with Units.

Here is how the Reaction at Fulcrum Pin of Rocker Arm equation looks like.

3557.8601 = \sqrt{1926^{2} + 1925^{2} - 2 \cdot 1925 \cdot 1926 \cdot \cos (135)}

3557.8601N = \sqrt{{1926N}^{2} + {1925N}^{2} - 2 \cdot 1925N \cdot 1926N \cdot \cos (135°)}

3557.8601 = \sqrt{1926^{2} + 1925^{2} - 2 \cdot 1925 \cdot 1926 \cdot \cos (135)}

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Reaction at Fulcrum Pin of Rocker Arm Solution

Follow our step by step solution on how to calculate Reaction at Fulcrum Pin of Rocker Arm?

FIRST Step Consider the formula

R f = \sqrt{{P e}^{2} + {P c}^{2} - 2 \cdot P c \cdot P e \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

R f = \sqrt{{1926N}^{2} + {1925N}^{2} - 2 \cdot 1925N \cdot 1926N \cdot \cos (135°)}

Next Step Convert Units

∴

R f = \sqrt{{1926N}^{2} + {1925N}^{2} - 2 \cdot 1925N \cdot 1926N \cdot \cos (2.3562rad)}

Next Step Prepare to Evaluate

∴

R f = \sqrt{1926^{2} + 1925^{2} - 2 \cdot 1925 \cdot 1926 \cdot \cos (2.3562)}

Next Step Evaluate

∴

R f = 3557.86010028135N

LAST Step Rounding Answer

∴

R f = 3557.8601N

Reaction at Fulcrum Pin of Rocker Arm Formula Elements

Variables

Functions

Force at Fulcrum Pin

Force at Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.

Symbol: R_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force at Fulcrum Pin

Total Force on Rocker Arm of Exhaust Valve

Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve.

Symbol: P_e

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Force on Rocker Arm of Exhaust Valve

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

Angle Between Rocker Arms

Angle Between Rocker Arms is the angle between the two arms of a rocker arm or the contained angle between the rocker arms.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle Between Rocker Arms

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Force at Fulcrum Pin

Go Reaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths

R f = P e \cdot \sqrt{2 \cdot (1 - \cos (θ))}

Go Reaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure

R f = d 1 \cdot l 1 \cdot P bf

Go Reaction at Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin

R f = \frac{τ f \cdot π \cdot {d 1}^{2}}{2}

Other formulas in Design of Fulcrum Pin category

Go Angle between Two Arms of Rocker Arm

θ = π - \arccos (- \frac{{P e}^{2} + {P c}^{2} - {R f}^{2}}{2 \cdot P e \cdot P c})

Go Bearing Pressure at Fulcrum Pin of Rocker Arm

P bf = \frac{R f}{d 1 \cdot l 1}

Go Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure

d 1 = \frac{R f}{l 1 \cdot P bf}

Go Length of Fulcrum Pin of Rocker Arm given Bearing Pressure

l 1 = \frac{R f}{d 1 \cdot P bf}

How to Evaluate Reaction at Fulcrum Pin of Rocker Arm?

Reaction at Fulcrum Pin of Rocker Arm evaluator uses Force at Fulcrum Pin = sqrt(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-2*Force on Roller Pin*Total Force on Rocker Arm of Exhaust Valve*cos(Angle Between Rocker Arms)) to evaluate the Force at Fulcrum Pin, The Reaction at fulcrum pin of rocker arm is the reaction force acting onto the fulcrum pin ( the pivot about which a lever turns) used as a joint at a fulcrum point, as a result of force due to exhaust valve reaction and force on the roller pin. Force at Fulcrum Pin is denoted by R_f symbol.

How to evaluate Reaction at Fulcrum Pin of Rocker Arm using this online evaluator? To use this online evaluator for Reaction at Fulcrum Pin of Rocker Arm, enter Total Force on Rocker Arm of Exhaust Valve (P_e), Force on Roller Pin (P_c) & Angle Between Rocker Arms (θ) and hit the calculate button.

FAQs on Reaction at Fulcrum Pin of Rocker Arm

What is the formula to find Reaction at Fulcrum Pin of Rocker Arm?

The formula of Reaction at Fulcrum Pin of Rocker Arm is expressed as Force at Fulcrum Pin = sqrt(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-2*Force on Roller Pin*Total Force on Rocker Arm of Exhaust Valve*cos(Angle Between Rocker Arms)). Here is an example- 3557.86 = sqrt(1926^2+1925^2-2*1925*1926*cos(2.3561944901919)).

How to calculate Reaction at Fulcrum Pin of Rocker Arm?

With Total Force on Rocker Arm of Exhaust Valve (P_e), Force on Roller Pin (P_c) & Angle Between Rocker Arms (θ) we can find Reaction at Fulcrum Pin of Rocker Arm using the formula - Force at Fulcrum Pin = sqrt(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-2*Force on Roller Pin*Total Force on Rocker Arm of Exhaust Valve*cos(Angle Between Rocker Arms)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Force at Fulcrum Pin?

Here are the different ways to Calculate Force at Fulcrum Pin-

Force at Fulcrum Pin=Total Force on Rocker Arm of Exhaust Valve*sqrt(2*(1-cos(Angle Between Rocker Arms)))
Force at Fulcrum Pin=Diameter of Fulcrum Pin*Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin
Force at Fulcrum Pin=(Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2

Can the Reaction at Fulcrum Pin of Rocker Arm be negative?

No, the Reaction at Fulcrum Pin of Rocker Arm, measured in Force cannot be negative.

Which unit is used to measure Reaction at Fulcrum Pin of Rocker Arm?

Reaction at Fulcrum Pin of Rocker Arm is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Reaction at Fulcrum Pin of Rocker Arm can be measured.

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Reaction at Fulcrum Pin of Rocker Arm Formula

​GoReaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths Formula

​GoReaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure Formula

Reaction at Fulcrum Pin of Rocker Arm Example

Reaction at Fulcrum Pin of Rocker Arm Solution

Reaction at Fulcrum Pin of Rocker Arm Formula Elements

Other Formulas to find Force at Fulcrum Pin

Other formulas in Design of Fulcrum Pin category

How to Evaluate Reaction at Fulcrum Pin of Rocker Arm?

FAQs on Reaction at Fulcrum Pin of Rocker Arm

Variable Name

GoReaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths Formula

GoReaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure Formula