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Displacement of Valve from its Mid-Position Calculator

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✖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%

✖Displacement of valve from mid-position is defined as the change in mid-position of a valve.ⓘ Displacement of Valve from its Mid-Position [x]

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Displacement of Valve from its Mid-Position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Valve from Mid-Position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of Advance of the Eccentric)
x = 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

Displacement of Valve from Mid-Position - (Measured in Meter) - Displacement of valve from mid-position is defined as the change in mid-position of a valve.
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: 2.7 Millimeter --> 0.0027 Meter (Check conversion here)
Crank Angle: 15.5 Degree --> 0.27052603405907 Radian (Check conversion here)
Angle of Advance of the Eccentric: 32.3 Degree --> 0.563741348394062 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = r*sin(θ+α) --> 0.0027*sin(0.27052603405907+0.563741348394062)

Evaluating ... ...

x = 0.00200017240997394

STEP 3: Convert Result to Output's Unit

0.00200017240997394 Meter -->2.00017240997394 Millimeter (Check conversion here)

FINAL ANSWER

2.00017240997394 ≈ 2.000172 Millimeter <-- Displacement of Valve from Mid-Position

(Calculation completed in 00.005 seconds)

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< Steam Engine Valves and Reversing Gears Calculators

Crank Angle

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

Steam Lap at Admission and Cutoff

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

Angle of Advance of Eccentric

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

Eccentricity or Throw of Eccentric

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

Displacement of Valve from its Mid-Position Formula

LaTeX Go

Displacement of Valve from Mid-Position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of Advance of the Eccentric)
x = 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 Displacement of Valve from its Mid-Position?

Displacement of Valve from its Mid-Position calculator uses Displacement of Valve from Mid-Position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of Advance of the Eccentric) to calculate the Displacement of Valve from Mid-Position, Displacement of Valve from its Mid-Position formula is defined as the measure of the valve's movement from its central position in a steam engine, which affects the engine's performance and efficiency, particularly in reversing gears. Displacement of Valve from Mid-Position is denoted by x symbol.

How to calculate Displacement of Valve from its Mid-Position using this online calculator? To use this online calculator for Displacement of Valve from its Mid-Position, 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 Displacement of Valve from its Mid-Position calculation can be explained with given input values -> -1997.003956 = 0.0027*sin(0.27052603405907+0.563741348394062).

FAQ

What is Displacement of Valve from its Mid-Position?

Displacement of Valve from its Mid-Position formula is defined as the measure of the valve's movement from its central position in a steam engine, which affects the engine's performance and efficiency, particularly in reversing gears and is represented as x = r*sin(θ+α) or Displacement of Valve from Mid-Position = 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 Displacement of Valve from its Mid-Position?

Displacement of Valve from its Mid-Position formula is defined as the measure of the valve's movement from its central position in a steam engine, which affects the engine's performance and efficiency, particularly in reversing gears is calculated using Displacement of Valve from Mid-Position = Eccentricity or Throw of Eccentric*sin(Crank Angle+Angle of Advance of the Eccentric). To calculate Displacement of Valve from its Mid-Position, 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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