Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin Calculator

✖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.ⓘ Force at Fulcrum Pin [R_f]			+10% -10%
✖Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.ⓘ Diameter of Fulcrum Pin [d₁]			+10% -10%

✖Shear Stress in Fulcrum 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 parallel to the imposed stress.ⓘ Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin [τ_fulcrum]

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Formula

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Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin

Formula

`"τ"_{"fulcrum"} = (2*"R"_{"f"})/(pi*"d"_{"1"}^2)`

Example

`"3.626186N/mm²"=(2*"3560N")/(pi*("25mm")^2)`

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Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2)
τ_fulcrum = (2*R_f)/(pi*d₁^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shear Stress in Fulcrum Pin - (Measured in Pascal) - Shear Stress in Fulcrum 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 parallel to the imposed stress.
Force at Fulcrum Pin - (Measured in Newton) - 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.
Diameter of Fulcrum Pin - (Measured in Meter) - Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.

STEP 1: Convert Input(s) to Base Unit

Force at Fulcrum Pin: 3560 Newton --> 3560 Newton No Conversion Required
Diameter of Fulcrum Pin: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_fulcrum = (2*R_f)/(pi*d₁^2) --> (2*3560)/(pi*0.025^2)

Evaluating ... ...

τ_fulcrum = 3626186.22340574

STEP 3: Convert Result to Output's Unit

3626186.22340574 Pascal -->3.62618622340574 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

3.62618622340574 ≈ 3.626186 Newton per Square Millimeter <-- Shear Stress in Fulcrum Pin

(Calculation completed in 00.004 seconds)

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< 17 Design of Fulcrum Pin Calculators

Length of Fulcrum Pin of Rocker Arm considering Double Shear Failure of Pin

Go Length of Fulcrum Pin = 1.25*sqrt((2*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)))/(pi*Shear Stress in Fulcrum Pin))

Diameter of Fulcrum Pin of Rocker Arm Considering Double Shear Failure of Pin

Go Diameter of Fulcrum Pin = sqrt((2*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)))/(pi*Shear Stress in Fulcrum Pin))

Shear Stress in Fulcrum Pin of Rocker Arm

Go Shear Stress in Fulcrum Pin = (2*(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)))/(pi*Diameter of Fulcrum Pin^2))

Angle between Two Arms of Rocker Arm

Go Angle Between Rocker Arms = pi-arccos(-(Total Force on Rocker Arm of Exhaust Valve^2+Force on Roller Pin^2-Force at Fulcrum Pin^2)/(2*Total Force on Rocker Arm of Exhaust Valve*Force on Roller Pin))

Reaction at Fulcrum Pin of Rocker Arm

Go 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))

Reaction at Fulcrum Pin of Rocker Arm for Equal Arm Lengths

Go Force at Fulcrum Pin = Total Force on Rocker Arm of Exhaust Valve*sqrt(2*(1-cos(Angle Between Rocker Arms)))

Length of Fulcrum Pin of Rocker Arm given Reaction at Pin

Go Length of Fulcrum Pin = 1.25*sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))

Diameter of Fulcrum Pin of Rocker Arm given Reaction at Pin

Go Diameter of Fulcrum Pin = sqrt((2*Force at Fulcrum Pin)/(pi*Shear Stress in Fulcrum Pin))

Bearing Pressure at Fulcrum Pin of Rocker Arm

Go Bearing Pressure for Fulcrum Pin = (Force at Fulcrum Pin)/(Diameter of Fulcrum Pin*Length of Fulcrum Pin)

Diameter of Fulcrum Pin of Rocker Arm given Bearing Pressure

Go Diameter of Fulcrum Pin = Force at Fulcrum Pin/(Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)

Length of Fulcrum Pin of Rocker Arm given Bearing Pressure

Go Length of Fulcrum Pin = Force at Fulcrum Pin/(Diameter of Fulcrum Pin*Bearing Pressure for Fulcrum Pin)

Reaction at Fulcrum Pin of Rocker Arm Considering bearing Pressure

Go Force at Fulcrum Pin = Diameter of Fulcrum Pin*Length of Fulcrum Pin*Bearing Pressure for Fulcrum Pin

Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin

Go Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2)

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

Go Force at Fulcrum Pin = (Shear Stress in Fulcrum Pin*pi*Diameter of Fulcrum Pin^2)/2

Outside Diameter of Boss of Rocker Arm at Fulcrum Pin

Go Outside Diameter of Boss of Rocker Arm = 2*Diameter of Fulcrum Pin

Length of Fulcrum Pin of Rocker Arm given Diameter of Fulcrum Pin

Go Length of Fulcrum Pin = Diameter of Fulcrum Pin*1.25

Diameter of Fulcrum Pin of Rocker Arm given Length of Fulcrum Pin

Go Diameter of Fulcrum Pin = Length of Fulcrum Pin/1.25

Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin Formula

Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2)
τ_fulcrum = (2*R_f)/(pi*d₁^2)

Design of Rocker Arm

It is a two-arm lever with the fulcrum in the middle. One end of the rocker arm that is actuated by the cam is forked and carries a roller. The other arm of the rocker arm consists of a plain boss where a tappet is screwed. In order to reduce the weight and inertia force, the cross-section of the rocker arm is I-section. The arms of the rocker arm are made of uniform strength by tapering the width and depth dimensions. However, the thickness of the web and flanges is kept uniform. Rocker arms are made of grey cast iron, malleable cast iron, or cast steel.

How to Calculate Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin?

Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin calculator uses Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2) to calculate the Shear Stress in Fulcrum Pin, The Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin is the shear stress induced into the fulcrum 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 two arms of rocker arm. Shear Stress in Fulcrum Pin is denoted by τ_fulcrum symbol.

How to calculate Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin using this online calculator? To use this online calculator for Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin, enter Force at Fulcrum Pin (R_f) & Diameter of Fulcrum Pin (d₁) and hit the calculate button. Here is how the Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin calculation can be explained with given input values -> 3.6E-6 = (2*3560)/(pi*0.025^2).

FAQ

What is Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin?

The Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin is the shear stress induced into the fulcrum 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 two arms of rocker arm and is represented as τ_fulcrum = (2*R_f)/(pi*d₁^2) or Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2). 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 & Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.

How to calculate Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin?

The Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin is the shear stress induced into the fulcrum 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 two arms of rocker arm is calculated using Shear Stress in Fulcrum Pin = (2*Force at Fulcrum Pin)/(pi*Diameter of Fulcrum Pin^2). To calculate Shear Stress in Fulcrum Pin of Rocker Arm given Reaction at Pin, you need Force at Fulcrum Pin (R_f) & Diameter of Fulcrum Pin (d₁). With our tool, you need to enter the respective value for Force at Fulcrum Pin & Diameter of Fulcrum Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shear Stress in Fulcrum Pin?

In this formula, Shear Stress in Fulcrum Pin uses Force at Fulcrum Pin & Diameter of Fulcrum Pin. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Fulcrum Pin = (2*(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)))/(pi*Diameter of Fulcrum Pin^2))

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