Comparative Weight of Metals, Weight per Measure of Solidity, e Exhibiting the Weight in pounds of One Foot in Length of Wrought or Rolled Iron of any size, (cross section,) from § inch to 12 inches, To determine the weight, in pounds, of one foot in length, or of any length, of a bar of any of the following metals of form prescribed, of any size, multiply the weight in pounds, of an equal length of square rolled iron of the same size, (see table of square rolled iron,) if the weight be sought of The weight of a bar of any metal, or other substance, of any given length, of a flat form, (and any other form may be included in the rule,) is readily obtained by multiplying its cubic contents (feet or inches) by the weight (pounds, ounces, or grains) of a cubic foot or inch of the article sought to be weighed; that is Length breadth × thickness × weight per unit of measure. For the weight in pounds of a cubic foot or inch of different metals, see "TABLE of weights of metals per measure of solidity, &c." OR, FOR FLAT OR SQUARE BARS, Multiply the sectional area in inches by the length in feet, and that product, if the metal be EXAMPLE. 3.3795 3.1287 3.4 Required the weight of a bar of steel, whose length is 7 feet, breadth 24 inches, and thickness of an inch. EXAMPLE.Required the weight of a cast iron beam, whose length is 14 feet, breadth 9 inches, and thickness 1 inch. 14 X 9 X 1.5 X 3.1287 591.32 lbs. Ans. TABLE, Exhibiting the weight in pounds of One Foot in Length of Round Rolled Iron of any diameter, from inch to 12 inches. To find the weight of an equilateral three-sided cast iron prism. width of side in inches2 × 1. 354 X length in feet weight in lbs. EXAMPLE. A three-sided cast iron prism is 14 feet in length, and the width of each side is 6 inches; required the weight of the prism. 62 X 1.354 X 14 = 682.4 lbs. Ans. To find the weight of an equilateral rectangular cast iron prism. To find the weight of an equilateral five-sided cast iron prism. To find the weight of an equilateral six-sided cast iron prism. width of side in inches2 X 8.128 × length in feet weight in lbs. To find the weight of an equilateral eight-sided cast iron prism width of side in inches2 X 15.1 X length in fect = weight in lbs. To find the weight of a cast iron cylinder. diameter in inches2 × 2.457 × length in feet weight in lbs. In a quantity of cast iron weighing 125 lbs., how many cubic inches? By tabular weight per cubic inch 125.26073 479.4 cubic inches. Ans. Or, by tabular weight per cubic foot 450.55 1728 :: 125: 479.4 cubic inches. Ans. : How many cubic inches of copper will weigh as much as 479.4 cubic inches of cast iron? By tabular weight per cubic inch .3211.26073 :: 479.4: 389.27 cubic inches. Ans. Or, by specific gravities 8.878 7.209 :: 479.4 : 389.27 cubic inches. Ans. Or, by tabular ratio of weight A cast iron rectangular weight is to be constructed having a breadth of 4 inches and a thickness of 2 inches, and its weight is to be 18 lbs.; what must be its length? A cast iron cylinder is to be 2 inches in diameter, and is to weigh 6 lbs.; what must be its length? .26073 X .7854 =.2047 lb. weight of 1 cyl. inch, then 6 7.327 inches. Ans. 2-X. 2047 A cast iron cylinder is to weigh 6 lbs., and its length is to be 7.327 inches; what must be its diameter? A cast iron weight, in the form of a prismoid, or the frustrum of a pyramid, or the frustrum of a cone, is to be constructed that will weigh 14 lbs., and the area of one of the bases is to be 16 inches, and that of the other 4 inches; what must be the length of the weight? √16 X 4 = 8 and 8+16+ 4 ÷ 3 = 5.75 inches. Ans. 14 9.33, and 9.33 X .26073 NOTE. For Rules in detail pertaining to the foregoing, see GEOMETRY, Mensuration of superficies of solids. A model for a piece of casting, made of dry white pine, weighs 7 lbs.; what will the casting weigh, if made of common brass? By specific gravities .554: 8.604 :: 7 : 108.71 lbs. Ans. NOTE. As the specific gravity of the substance of which the model is composed navef generally remain to some extent uncertain, calculations of this kind can only be relied si as approximate. l .422 3.634 TABLE Exhibiting the Weight of One Foot in Length of Flat, Rolled Iron; Breadth and Thickness in Inches, Weight in Pounds. Br. and Th. Wei't. Br. and Th. Wei't. Br. and Th. Wei't. Br. and Th. Wei't. inch. lbs. inch. lbs. inch. lbs. inch. by.211 14 by 73.696 13 by 2.957 23 by 1 4.224 114.752 by.264 13 by .581 lbs. 2.957 23 by 4.435 5.386 5.175 6.284 .528 1.161 1 5.914 7.181 |