This section is from the book "Wrinkles And Recipes, Compiled From The Scientific American", by Park Benjamin. Also available from Amazon: Wrinkles and Recipes, Compiled From The Scientific American.
Secure the valve-stem of the safety-valve to the lever with wire or string, and attach a loop to the lever, into which pass the hook of an accurate spring-balance, arranging the loop so that it is directly over the centre of the valve-stem. Then take hold of the upper part of the spring-balance, and lift the valve slightly, noting the reading of the balance. Measure the lower diameter of the safety-valve, and find its area; divide the reading of the spring-balance by the area of the valve, and the result will be the pressure, in pounds per square inch, at which the steam will raise the safety-valve. Suppose, for instance, that the diameter of the safety-valve is 1 inch; its area will be about 7854/10000 of an inch. Now, if the tension of the spring-balance in raising the valve is 120 lbs., the pressure at which the valve will rise is the quotient arising from dividing 120 by 7854/10000 or 153 lbs. per square inch.
A table is appended, giving the areas of valves for the majority of cases that occur in practice:
Diameter of valve in inches. | Area of valve in square inches |
1/2 or 0.5 ........ | ...... 13-64 or 0.19635 |
5/8 or 0.625........ | ....... 5-16 or 0.30680 |
3/4 or 0.75 | 7-16 or 0.44179 |
7/8 or 0.875........ | ....... 19-32 or 0.60132 |
1 ........ | ....... 25-32 or 0.7854 |
1-1/4 or 1.25........ | .......1 15-64 or 1.2272 |
1-1/2 or 1.5 ........ | .......1 49-64 or 1.7671 |
1-3/4 or 1.75 ........ | .......2 13-32 or 2.4053 |
2 ........ | .......3 9-64 or 3.1416 |
2-1/2 or 2.5 ........ | ....... 4 29-32 or 4.9087 |
3 ........ | ....... 7 1-16 or 7.0686 |
3-1/2 or 3.5 | ....... 9 5 8 or 9.6211 |
4 ....... | .......12 9-16 or 12.5664 |
4-1/2. or 4.5 ........ | .......15 29-32 or 15.9043 |
Diameter of valve in inches. | Area of valve in square inches. |
5 ........ | .......19 41-64 or 19.635 |
5-1/2 or 5.5 | .......23 49-64 or 23.7583 |
6 ........ | .......28 9-32 or 28.2744 |
 
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