Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nominal Diameter = (sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet)))/0.8
DN = (sqrt((4*(Pg+P+Ps))/(pi*σc)))/0.8
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
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., sqrt(Number)
Variables Used
Nominal Diameter - (Measured in Meter) - Nominal Diameter is defined as the mean or average outside diameter of a profile.
Gas Load on Exhaust Valve - (Measured in Newton) - Gas Load on Exhaust Valve is the amount of force acting on the inner side of the exhaust valve due to the back pressure or cylinder pressure when the exhaust valve opens.
Inertia Force on Valve - (Measured in Newton) - Inertia Force on Valve is the force acting opposite to the direction of valve motion onto the valve.
Spring Force - (Measured in Newton) - Spring Force is the force exerted by a compressed or stretched spring upon any object that is attached to it.
Compressive Stress in Tappet - (Measured in Pascal) - Compressive Stress in Tappet or stud is the force per unit area that is responsible for the deformation of the tappet such that the volume of the material reduces and its length decreases.
STEP 1: Convert Input(s) to Base Unit
Gas Load on Exhaust Valve: 1680 Newton --> 1680 Newton No Conversion Required
Inertia Force on Valve: 115 Newton --> 115 Newton No Conversion Required
Spring Force: 8.88 Newton --> 8.88 Newton No Conversion Required
Compressive Stress in Tappet: 36.5 Newton per Square Millimeter --> 36500000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DN = (sqrt((4*(Pg+P+Ps))/(pi*σc)))/0.8 --> (sqrt((4*(1680+115+8.88))/(pi*36500000)))/0.8
Evaluating ... ...
DN = 0.0099156790665538
STEP 3: Convert Result to Output's Unit
0.0099156790665538 Meter -->9.9156790665538 Millimeter (Check conversion ​here)
FINAL ANSWER
9.9156790665538 9.915679 Millimeter <-- Nominal Diameter
(Calculation completed in 00.008 seconds)

Credits

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

Core Diameter of Tappet or Stud of Rocker Arm of Engine Valve
​ LaTeX ​ Go Core Diameter of Tappet = sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet))
Compressive Stress in Tappet of Rocker Arm of Engine Valve
​ LaTeX ​ Go Compressive Stress in Tappet = (4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Core Diameter of Tappet^2)
Compressive Force on Tappet of Rocker Arm of Engine Valve given Stress in Tappet
​ LaTeX ​ Go Compressive Force on Tappet = (Compressive Stress in Tappet*pi*Core Diameter of Tappet^2)/4
Compressive Force on Tappet of Rocker Arm of Engine Valve
​ LaTeX ​ Go Compressive Force on Tappet = Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force

Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve Formula

​LaTeX ​Go
Nominal Diameter = (sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet)))/0.8
DN = (sqrt((4*(Pg+P+Ps))/(pi*σc)))/0.8

Engine Valve Motion

The motion of the engine valves is driven by the camshaft of the engine, which contains a series of lobes or cams that serve to create the linear motion of the valve from the rotation of the camshaft. The number of cam lobes on the camshaft is equal to the number of valves in the engine. Regardless of the engine design, the basic movement of the engine valves occurs by the cam riding against a lifter or a tappet that provides a force that presses against the valve stem and compresses the valve spring, thereby removing the spring tension that keeps the valve in the closed position. This movement of the valve stem lifts the valve off the seat in the cylinder head and opens the valve. Once the camshaft rotates further and the cam lobe moves so that the eccentric portion is no longer directly in contact with the lifter or tappet, the spring pressure closes the valve as the valve stem rides on the centric portion of the cam lobe.

How to Calculate Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve?

Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve calculator uses Nominal Diameter = (sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet)))/0.8 to calculate the Nominal Diameter, The Nominal diameter of tappet or stud of rocker arm of engine valve is the outside or major diameter of the tappet or stud threads. Nominal Diameter is denoted by DN symbol.

How to calculate Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve using this online calculator? To use this online calculator for Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve, enter Gas Load on Exhaust Valve (Pg), Inertia Force on Valve (P), Spring Force (Ps) & Compressive Stress in Tappet c) and hit the calculate button. Here is how the Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve calculation can be explained with given input values -> 9915.679 = (sqrt((4*(1680+115+8.88))/(pi*36500000)))/0.8.

FAQ

What is Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve?
The Nominal diameter of tappet or stud of rocker arm of engine valve is the outside or major diameter of the tappet or stud threads and is represented as DN = (sqrt((4*(Pg+P+Ps))/(pi*σc)))/0.8 or Nominal Diameter = (sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet)))/0.8. Gas Load on Exhaust Valve is the amount of force acting on the inner side of the exhaust valve due to the back pressure or cylinder pressure when the exhaust valve opens, Inertia Force on Valve is the force acting opposite to the direction of valve motion onto the valve, Spring Force is the force exerted by a compressed or stretched spring upon any object that is attached to it & Compressive Stress in Tappet or stud is the force per unit area that is responsible for the deformation of the tappet such that the volume of the material reduces and its length decreases.
How to calculate Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve?
The Nominal diameter of tappet or stud of rocker arm of engine valve is the outside or major diameter of the tappet or stud threads is calculated using Nominal Diameter = (sqrt((4*(Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force))/(pi*Compressive Stress in Tappet)))/0.8. To calculate Nominal Diameter of Tappet or Stud of Rocker Arm of Engine Valve, you need Gas Load on Exhaust Valve (Pg), Inertia Force on Valve (P), Spring Force (Ps) & Compressive Stress in Tappet c). With our tool, you need to enter the respective value for Gas Load on Exhaust Valve, Inertia Force on Valve, Spring Force & Compressive Stress in Tappet 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 Nominal Diameter?
In this formula, Nominal Diameter uses Gas Load on Exhaust Valve, Inertia Force on Valve, Spring Force & Compressive Stress in Tappet. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Nominal Diameter = (sqrt((4*Total Force on Rocker Arm of Exhaust Valve)/(pi*Compressive Stress in Tappet)))/0.8
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