These quantities vary in different types of engines, but in the absence of more specific data the values in [Table III] will be found useful. The back pressure may be taken as 17 pounds per square inch, absolute, for non-condensing engines, and as 3 pounds for condensing engines as previously stated.

TABLE III. PRESSURE, CLEARANCE, CUT-OFF AND PISTONSPEED
OF STEAM ENGINES
Type of EngineInitial
Pressure,
(Gage)
Clearance,
Per Cent
Cut-off,
Proportion
of Stroke
Piston Speed,
Feet
per Minute
Simple high-speed80to904to10 1⁄4to1⁄3600to800
Simple medium-speed80to903to8 1⁄4to1⁄3500to700
Simple Corliss80to901.5to3.51⁄4to1⁄3400to600
Compound high-speed130to1404to10 1⁄10to1⁄8600to800
Compound medium-speed130to1403to8 1⁄10to1⁄8500to700
Compound Corliss130to1401.5to3.51⁄10to1⁄8400to600

The first step in proportioning the cylinder is to compute the approximate mean effective pressure from the assumed initial pressure, clearance, and cut-off, by the method already explained. Next assume the piston speed for the type of engine to be designed, and determine the piston area by the following formula:

33,000 H. P.
A = ——————————.
M. E. P. × piston speed

This formula usually gives the diameter of the piston in inches and fractions of an inch, while it is desirable to make this dimension an even number of inches. This may be done by taking as the diameter the nearest whole number, and changing the piston speed to correspond. This is done by the use of the following equation.

First piston speed × first piston area
—————————————— = new piston speed.
new piston area

In calculating the effective piston area, the area of the piston rod upon one side must be allowed for. The effective or average piston area will then be (2A - a)⁄2, in which A = area of piston, a = area of piston rod. This latter area must be assumed. After assuming a new piston diameter of even inches, its effective or average area must be used in determining the new piston speed. The length of stroke is commonly proportioned to the diameter of cylinder, and the piston speed divided by this will give the number of strokes per minute.

Example:—Find the diameter of cylinder, length of stroke, and revolutions per minute for a simple high-speed non-condensing engine of 200 I. H. P., with the following assumptions: Initial pressure, 90 pounds gage; clearance, 7 per cent; cut-off, 1⁄4; piston speed, 700 feet per minute; length of stroke, 1.5 times cylinder diameter.

By using the rules and formulas in the foregoing, we have:

M. E. P. = (90 + 15) × 0.63 - 17 = 49 pounds.