Exhaust Lap 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

✖Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber.ⓘ Eccentricity or Throw of Eccentric [r]			+10% -10%
✖Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.ⓘ Crank Angle [θ]			+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 the eccentric [α]			+10% -10%

✖Exhaust Lap is the displacement of the valve from its mid-position at release and compression.ⓘ Exhaust Lap [e]

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Formula

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Exhaust Lap

Formula

`"e" = -"r"*(sin("θ"+"α"))`

Example

`"-2.139751mm"=-"3mm"*(sin("30°"+"15.5°"))`

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Exhaust Lap Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))
e = -r*(sin(θ+α))
This formula uses 1 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)

Variables Used

Exhaust Lap - (Measured in Meter) - Exhaust Lap is the displacement of the valve from its mid-position at release and compression.
Eccentricity or Throw of Eccentric - (Measured in Meter) - Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber.
Crank Angle - (Measured in Radian) - Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall.
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.

STEP 1: Convert Input(s) to Base Unit

Eccentricity or Throw of Eccentric: 3 Millimeter --> 0.003 Meter (Check conversion here)
Crank Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle of advance of the eccentric: 15.5 Degree --> 0.27052603405907 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = -r*(sin(θ+α)) --> -0.003*(sin(0.5235987755982+0.27052603405907))

Evaluating ... ...

e = -0.00213975134746223

STEP 3: Convert Result to Output's Unit

-0.00213975134746223 Meter -->-2.13975134746223 Millimeter (Check conversion here)

FINAL ANSWER

-2.13975134746223 ≈ -2.139751 Millimeter <-- Exhaust Lap

(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

Exhaust Lap Formula

Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric))
e = -r*(sin(θ+α))

What is the eccentric throw?

The eccentric throw is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber.

How to Calculate Exhaust Lap?

Exhaust Lap calculator uses Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric)) to calculate the Exhaust Lap, Exhaust lap is the displacement of the valve from its mid-position at release and compression and is negative as measured from the origin O. Exhaust Lap is denoted by e symbol.

How to calculate Exhaust Lap using this online calculator? To use this online calculator for Exhaust Lap, enter Eccentricity or Throw of Eccentric (r), Crank Angle (θ) & Angle of advance of the eccentric (α) and hit the calculate button. Here is how the Exhaust Lap calculation can be explained with given input values -> -2139.751347 = -0.003*(sin(0.5235987755982+0.27052603405907)).

FAQ

What is Exhaust Lap?

Exhaust lap is the displacement of the valve from its mid-position at release and compression and is negative as measured from the origin O and is represented as e = -r*(sin(θ+α)) or Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric)). Eccentricity or Throw of Eccentric is the extent to which the mantle veers from its axis, so it defines the rate at which the material falls through the chamber, Crank Angle refers to the position of an engine's crankshaft in relation to the piston as it travels inside of the cylinder wall & Angle of advance of the eccentric the angle in excess of 90° that a steam-engine valve gear is in advance of the crank.

How to calculate Exhaust Lap?

Exhaust lap is the displacement of the valve from its mid-position at release and compression and is negative as measured from the origin O is calculated using Exhaust Lap = -Eccentricity or Throw of Eccentric*(sin(Crank Angle+Angle of advance of the eccentric)). To calculate Exhaust Lap, you need Eccentricity or Throw of Eccentric (r), Crank Angle (θ) & Angle of advance of the eccentric (α). With our tool, you need to enter the respective value for Eccentricity or Throw of Eccentric, Crank Angle & Angle of advance of the eccentric 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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