This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
Take the dimensions, in inches and decimal parts of an inch. Square the diameter, multiply it by the length in inches, and then multiply the product by .0034 for Wine Gallons, or by •002785 for Ale Gallons.
How many U. S. Gallons will a Cylindrical Vessel contain, whose diameter is 9 inches, and length 9½ inches?
Diameter, | 9 | Brought up | 769.6 |
9 | •0034 | ||
Square Diam | . 81 | 30780 | |
Length, | 9.6 | 23086 | |
406 | 2.61680 | ||
729 | or 2 gallons and 6 pints. | ||
Carried up, 769.5 | |||
To Ascertain the Weights of Pipes of various Metals, and any Diameter required.
Thickness in parts of an inch. | Lead. | ||
1/32 | •326 | 11½ lbs. plate .38 | 2 lbs. lead .488 |
1/16 | .653 | 23½ " .76 | 4 " .967 |
3/32 | .976 | 35 " 114 | 5½ " 1.45 |
1/8 | 1.3 | 46½ •• 1.52 | 8 " 1.933 |
5/32 | 1.627 | 58 " 1.9 | 9½ " 2.417 |
3/16 | 1.95 | 70 " 2.28 | 11 " 2.9 |
7/32 | 2.277 | 80½ " 2.66 | 13 " 8.383 |
1/4 | 2.6 | 93 •« 804 | 15 " 8.867 |
RulE - the interior diameter of the pipe, in inches, add the thickness of the metal; multiply the sum by the decimal numbers opposite the required thickness and under the metal's name; also by the length of the pipe in feet, and the product is the weight of the pipe in lbs.
1. Required the weight of a copper pipe whose interior diameter is 7½ inches, its length 6¼ feet, and the metal \ of an inch in thickness.
7.5 X .125 = 7.625 X 1.52 X 6.25 = 72.4 lbs.
2. What is the weight of a leaden pipe 18½ feet in length, 3 inches interior diameter, and the metal ¼ of an inch in thickness?
3 + .25 = 3.25 X 3.867 X 18.5 = 232.5 lbs.
 
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