Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin Calculator

✖Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve.ⓘ Total Force on Rocker Arm of Exhaust Valve [P_e]			+10% -10%
✖Length of Rocker Arm on Exhaust Valve Side is the length of the arm (rigid member) of the rocker arm which is in connection with the exhaust valve.ⓘ Length of Rocker Arm on Exhaust Valve Side [a]			+10% -10%
✖Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.ⓘ Diameter of Fulcrum Pin [d₁]			+10% -10%

✖Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly.ⓘ Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin [M_barm]

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Formula

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Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin

Formula

`("M"_{"b"}"arm") = "P"_{"e"}*("a"-"d"_{"1"})`

Example

`"298530N*mm"="1926N"*("180mm"-"25mm")`

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Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)
M_barm = P_e*(a-d₁)
This formula uses 4 Variables

Variables Used

Bending Moment in Rocker Arm - (Measured in Newton Meter) - Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly.
Total Force on Rocker Arm of Exhaust Valve - (Measured in Newton) - Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve.
Length of Rocker Arm on Exhaust Valve Side - (Measured in Meter) - Length of Rocker Arm on Exhaust Valve Side is the length of the arm (rigid member) of the rocker arm which is in connection with the exhaust valve.
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

Total Force on Rocker Arm of Exhaust Valve: 1926 Newton --> 1926 Newton No Conversion Required
Length of Rocker Arm on Exhaust Valve Side: 180 Millimeter --> 0.18 Meter (Check conversion here)
Diameter of Fulcrum Pin: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_barm = P_e*(a-d₁) --> 1926*(0.18-0.025)

Evaluating ... ...

M_barm = 298.53

STEP 3: Convert Result to Output's Unit

298.53 Newton Meter -->298530 Newton Millimeter (Check conversion here)

FINAL ANSWER

298530 Newton Millimeter <-- Bending Moment in Rocker Arm

(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 7 Design of Cross Section of Rocker Arm Calculators

Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin

Go Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)

Diameter of Fulcrum Pin of Rocker Arm given Bending Moment near Boss of Rocker Arm

Go Diameter of Fulcrum Pin = Length of Rocker Arm on Exhaust Valve Side-Bending Moment in Rocker Arm/Total Force on Rocker Arm of Exhaust Valve

Length of Rocker Arm of Exhaust Valve Side

Go Length of Rocker Arm on Exhaust Valve Side = Bending Moment in Rocker Arm/Total Force on Rocker Arm of Exhaust Valve+Diameter of Fulcrum Pin

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment

Go Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm

Bending Moment in Rocker Arm near Boss of Rocker Arm given Bending Stress

Go Bending Moment in Rocker Arm = (37*Bending Stress in Rocker Arm*Thickness of Rocker Arm Web^3)/3

Area Moment of Inertia of Cross Section of Rocker Arm

Go Area Moment of Inertia of Rocker Arm = 37*Thickness of Rocker Arm Web^4

Diameter of Fulcrum Pin of Rocker Arm given Outside Diameter of Boss at Fulcrum Pin

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

Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin Formula

Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)
M_barm = P_e*(a-d₁)

Design of cross section of rocker arm

The arm is subjected to bending moment under the action of force Pe. The bending moment is maximum at the centre of the pivot. In general, the central section passing through the fulcrum pin is sufficiently strong to withstand the bending moment. Therefore, we will consider the cross-section of the arm near the boss of the fulcrum pin. The outside diameter of the boss of the rocker arm at the fulcrum pin is twice the diameter of the fulcrum pin.

How to Calculate Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin?

Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin calculator uses Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin) to calculate the Bending Moment in Rocker Arm, The Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin is the amount of bending moment in the rocker arm (changes radial movement into linear movement) near the boss of the fulcrum pin of any assembly. Bending Moment in Rocker Arm is denoted by M_barm symbol.

How to calculate Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin using this online calculator? To use this online calculator for Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin, enter Total Force on Rocker Arm of Exhaust Valve (P_e), Length of Rocker Arm on Exhaust Valve Side (a) & Diameter of Fulcrum Pin (d₁) and hit the calculate button. Here is how the Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin calculation can be explained with given input values -> 3E+8 = 1926*(0.18-0.025).

FAQ

What is Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin?

The Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin is the amount of bending moment in the rocker arm (changes radial movement into linear movement) near the boss of the fulcrum pin of any assembly and is represented as M_barm = P_e*(a-d₁) or Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin). Total Force on Rocker Arm of Exhaust Valve is the total force acting onto the rocker arm of the exhaust valve, Length of Rocker Arm on Exhaust Valve Side is the length of the arm (rigid member) of the rocker arm which is in connection with the exhaust valve & Diameter of Fulcrum Pin is the diameter of the pin used at the fulcrum joint.

How to calculate Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin?

The Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin is the amount of bending moment in the rocker arm (changes radial movement into linear movement) near the boss of the fulcrum pin of any assembly is calculated using Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin). To calculate Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin, you need Total Force on Rocker Arm of Exhaust Valve (P_e), Length of Rocker Arm on Exhaust Valve Side (a) & Diameter of Fulcrum Pin (d₁). With our tool, you need to enter the respective value for Total Force on Rocker Arm of Exhaust Valve, Length of Rocker Arm on Exhaust Valve Side & 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 Bending Moment in Rocker Arm?

In this formula, Bending Moment in Rocker Arm uses Total Force on Rocker Arm of Exhaust Valve, Length of Rocker Arm on Exhaust Valve Side & Diameter of Fulcrum Pin. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Moment in Rocker Arm = (37*Bending Stress in Rocker Arm*Thickness of Rocker Arm Web^3)/3

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