Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Pe = (pi*Pb*dv^2)/4+m*av+(pi*Psmax*dv^2)/4
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
Back Pressure on Engine Valve - (Measured in Pascal) - Back Pressure on Engine Valve is the pressure exerted onto the valve when it opens.
Diameter of Valve Head - (Measured in Meter) - Diameter of Valve Head is the diameter of the top part of valve of an IC engine, valve intakes and exhausts gases to and from an engine.
Mass of Valve - (Measured in Kilogram) - Mass of Valve is the mass (a measure of the amount of matter in valve) of the valve.
Acceleration of Valve - (Measured in Meter per Square Second) - Acceleration of Valve is the acceleration with which the valve opens or closes.
Maximum Suction Pressure - (Measured in Pascal) - Maximum Suction Pressure is the amount of pressure generated by the gases during its flow from an obstruction.
STEP 1: Convert Input(s) to Base Unit
Back Pressure on Engine Valve: 0.8 Megapascal --> 800000 Pascal (Check conversion ​here)
Diameter of Valve Head: 50 Millimeter --> 0.05 Meter (Check conversion ​here)
Mass of Valve: 0.45 Kilogram --> 0.45 Kilogram No Conversion Required
Acceleration of Valve: 140 Meter per Square Second --> 140 Meter per Square Second No Conversion Required
Maximum Suction Pressure: 0.051 Newton per Square Millimeter --> 51000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pe = (pi*Pb*dv^2)/4+m*av+(pi*Psmax*dv^2)/4 --> (pi*800000*0.05^2)/4+0.45*140+(pi*51000*0.05^2)/4
Evaluating ... ...
Pe = 1733.93459262807
STEP 3: Convert Result to Output's Unit
1733.93459262807 Newton --> No Conversion Required
FINAL ANSWER
1733.93459262807 1733.935 Newton <-- Total Force on Rocker Arm of Exhaust Valve
(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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Force on Rocker Arm of Valves Calculators

Back Pressure when Exhaust Valve Opens
​ LaTeX ​ Go Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2)
Initial Spring Force on Exhaust Valve
​ LaTeX ​ Go Spring Force on Rocker Arm Valve = (pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Gas Load on Exhaust Valve when it Opens
​ LaTeX ​ Go Gas Load on Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4
Downward Inertia Force on Exhaust Valve as it Moves Upwards
​ LaTeX ​ Go Inertia Force on Valve = Mass of Valve*Acceleration of Valve

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure Formula

​LaTeX ​Go
Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Pe = (pi*Pb*dv^2)/4+m*av+(pi*Psmax*dv^2)/4

What is SI Engine?

A spark-ignition engine (SI engine) is an internal combustion engine, generally a petrol engine, where the combustion process of the air-fuel mixture is ignited by a spark from a spark plug. This is in contrast to compression-ignition engines, typically diesel engines, where the heat generated from compression together with the injection of fuel is enough to initiate the combustion process, without needing any external spark. Spark-ignition engines are commonly referred to as "gasoline engines" in North America, and "petrol engines" in Britain and the rest of the world. Spark-ignition engines can (and increasingly are) run on fuels other than petrol/gasoline, such as autogas (LPG), methanol, ethanol, bioethanol, compressed natural gas (CNG), hydrogen, and (in drag racing) nitromethane.

How to Calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure calculator uses Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4 to calculate the Total Force on Rocker Arm of Exhaust Valve, The Total force on rocker arm of exhaust valve given suction pressure is the total force acting onto the rocker arm of the exhaust valve due to gas load, inertia force, and spring force. Total Force on Rocker Arm of Exhaust Valve is denoted by Pe symbol.

How to calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure using this online calculator? To use this online calculator for Total Force on Rocker Arm of Exhaust Valve given Suction Pressure, enter Back Pressure on Engine Valve (Pb), Diameter of Valve Head (dv), Mass of Valve (m), Acceleration of Valve (av) & Maximum Suction Pressure (Psmax) and hit the calculate button. Here is how the Total Force on Rocker Arm of Exhaust Valve given Suction Pressure calculation can be explained with given input values -> 1733.935 = (pi*800000*0.05^2)/4+0.45*140+(pi*51000*0.05^2)/4.

FAQ

What is Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?
The Total force on rocker arm of exhaust valve given suction pressure is the total force acting onto the rocker arm of the exhaust valve due to gas load, inertia force, and spring force and is represented as Pe = (pi*Pb*dv^2)/4+m*av+(pi*Psmax*dv^2)/4 or Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4. Back Pressure on Engine Valve is the pressure exerted onto the valve when it opens, Diameter of Valve Head is the diameter of the top part of valve of an IC engine, valve intakes and exhausts gases to and from an engine, Mass of Valve is the mass (a measure of the amount of matter in valve) of the valve, Acceleration of Valve is the acceleration with which the valve opens or closes & Maximum Suction Pressure is the amount of pressure generated by the gases during its flow from an obstruction.
How to calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure?
The Total force on rocker arm of exhaust valve given suction pressure is the total force acting onto the rocker arm of the exhaust valve due to gas load, inertia force, and spring force is calculated using Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4. To calculate Total Force on Rocker Arm of Exhaust Valve given Suction Pressure, you need Back Pressure on Engine Valve (Pb), Diameter of Valve Head (dv), Mass of Valve (m), Acceleration of Valve (av) & Maximum Suction Pressure (Psmax). With our tool, you need to enter the respective value for Back Pressure on Engine Valve, Diameter of Valve Head, Mass of Valve, Acceleration of Valve & Maximum Suction Pressure 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 Total Force on Rocker Arm of Exhaust Valve?
In this formula, Total Force on Rocker Arm of Exhaust Valve uses Back Pressure on Engine Valve, Diameter of Valve Head, Mass of Valve, Acceleration of Valve & Maximum Suction Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Total Force on Rocker Arm of Exhaust Valve = Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force on Rocker Arm Valve
  • Total Force on Rocker Arm of Exhaust Valve = Bending Moment in Rocker Arm/(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)
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