Angle of Advance of Eccentric Calculator

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Steam Engine Valves and Reversing Gears

Balancing of Rotating Masses

Belt, Rope and Chain Drives

Brakes and Dynamometers

Simple Harmonic Motion

Simple Mechanism

Toothed Gearing

Turning Moment Diagrams and Flywheel

Vibrations

✖Steam Lap is the amount (or distance) that the steam side of the valve overlaps the port.ⓘ Steam Lap [s]			+10% -10%
✖Lead is the displacement of the D-slide valve is greater than the steam lap (s) by a distance l.ⓘ Lead [l]			+10% -10%
✖Eccentric Centre Line is off-center and show the details of where the lines intersect.ⓘ Eccentric Centre Line [OE]			+10% -10%

✖Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.ⓘ Angle of Advance of Eccentric [α]

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Formula

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Angle of Advance of Eccentric

Formula

`"α" = asin(("s"+"l")/"OE")`

Example

`"44.427°"=asin(("5mm"+"4.8mm")/"14mm")`

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Angle of Advance of Eccentric Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line)
α = asin((s+l)/OE)
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Angle of advance of the eccentric - (Measured in Radian) - Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.
Steam Lap - (Measured in Meter) - Steam Lap is the amount (or distance) that the steam side of the valve overlaps the port.
Lead - (Measured in Meter) - Lead is the displacement of the D-slide valve is greater than the steam lap (s) by a distance l.
Eccentric Centre Line - (Measured in Meter) - Eccentric Centre Line is off-center and show the details of where the lines intersect.

STEP 1: Convert Input(s) to Base Unit

Steam Lap: 5 Millimeter --> 0.005 Meter (Check conversion here)
Lead: 4.8 Millimeter --> 0.0048 Meter (Check conversion here)
Eccentric Centre Line: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = asin((s+l)/OE) --> asin((0.005+0.0048)/0.014)

Evaluating ... ...

α = 0.775397496610753

STEP 3: Convert Result to Output's Unit

0.775397496610753 Radian -->44.4270040008141 Degree (Check conversion here)

FINAL ANSWER

44.4270040008141 ≈ 44.427 Degree <-- Angle of advance of the eccentric

(Calculation completed in 00.004 seconds)

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< 8 Steam Engine Valves and Reversing Gears Calculators

Displacement of Valve from its Mid-Position

Go Displacement of valve from mid-position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of advance of the eccentric)

Exhaust Lap

Go Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))

Crank Angle

Go Crank Angle = asin(-Exhaust Lap/Eccentricity or Throw of Eccentric)-Angle of advance of the eccentric

Centrifugal Force Acting on Ball for given Mass of Ball

Go Centrifugal Force = (Mass of Ball*Acceleration due to Gravity*Radius of Rotation)/Height of governor

Steam Lap at Admission and Cutoff

Go Steam Lap = Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))

Angle of Advance of Eccentric

Go Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line)

Centrifugal Force Acting on Ball for given Weight of Ball

Go Centrifugal Force = (Weight of Ball*Radius of Rotation)/Height of governor

Eccentricity or Throw of Eccentric

Go Eccentricity or Throw of Eccentric = (Travel of Valve)/2

Angle of Advance of Eccentric Formula

Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line)
α = asin((s+l)/OE)

What are valves?

A valve is a component in a piping system that is used to control the flow of the media through the system. This control is achieved by the manipulation of some type of obstructer within the valve. Examples of quarter-turn valves are ball valves, plug valves, and butterfly valves.

How to Calculate Angle of Advance of Eccentric?

Angle of Advance of Eccentric calculator uses Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line) to calculate the Angle of advance of the eccentric, The angle of advance of eccentric is the angle in excess of 90° that a steam-engine valve gear is in advance of the crank. Angle of advance of the eccentric is denoted by α symbol.

How to calculate Angle of Advance of Eccentric using this online calculator? To use this online calculator for Angle of Advance of Eccentric, enter Steam Lap (s), Lead (l) & Eccentric Centre Line (OE) and hit the calculate button. Here is how the Angle of Advance of Eccentric calculation can be explained with given input values -> 2545.48 = asin((0.005+0.0048)/0.014).

FAQ

What is Angle of Advance of Eccentric?

The angle of advance of eccentric is the angle in excess of 90° that a steam-engine valve gear is in advance of the crank and is represented as α = asin((s+l)/OE) or Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line). Steam Lap is the amount (or distance) that the steam side of the valve overlaps the port, Lead is the displacement of the D-slide valve is greater than the steam lap (s) by a distance l & Eccentric Centre Line is off-center and show the details of where the lines intersect.

How to calculate Angle of Advance of Eccentric?

The angle of advance of eccentric is the angle in excess of 90° that a steam-engine valve gear is in advance of the crank is calculated using Angle of advance of the eccentric = asin((Steam Lap+Lead)/Eccentric Centre Line). To calculate Angle of Advance of Eccentric, you need Steam Lap (s), Lead (l) & Eccentric Centre Line (OE). With our tool, you need to enter the respective value for Steam Lap, Lead & Eccentric Centre Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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