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.
8° upon level ground.
Breadth of whip at axis, 1/30 length of whip.
Depth u " 1/40
Breadth of whip at end, 1/60 "
Depth " " 1/80 '
Width of sail " 1/3
Divided by the whip in the proportion of 5 to 3, the narrowest portion being nearest to the wind.
Width of sail at axis, 1 length of whip; distance of sail from axis, 1/7 length of whip.
Cross-bars from 16 to 18 inches apart.
Thickness, 2 ins. will bear infantry.
" 4 " cavalry or light guns.
" 6 " heavy field guns.
" 8 " upon sledges, a weight not exceeding 1000 lbs. per square foot.
(Tredgold.) l2WC l2WC
3√-------= d;--------=b;b representing breadth, and d depth in inches, b d3
I length in feet, and W load in lbs. upon the middle.
C = Pine, .01; Ash, .01; Beech,.013; Elm,.015; Oak,.13; Teak,.008.
When the beam is uniformly loaded, put .625 W instead of \V.
The Vernier Scale is ll-10ths, divided into 10 equal parts; so that it divides a scale of 10ths into 100ths when the lines meet in the two scales.
Rule. Multiply the weight of the pattern in pouuds by the following multiplier, and the product will give the weight of the casting:
Iron, 14; Brass, 15; Lead, 22; Tin, 14; Zinc, 13.5.
Multiply the sectional area in inches by the length in feet, and by 3.2, the product equal the weight in pounds.
Required the weight of a uniform rectangular beam of cast iron, 16 feet in length, 11 inches in breadth, and 1½ inch in thickness.
11 X 1.5 X 16 X3.2 = 844.8 pounds.
Hollow columns fail principally by crushing, provided the length does not exceed 25 diameters ; indeed, the length does not appear to affect the strength much till it exceeds 50 diameters.
The comparative strength of different forms and of different thicknesses will appear so distinctly from the experiments below, made by Mr. Hodgkinson, that no difficulty will be found in ascertaining the strength due to any size or form of column that may be required.
Sec. area. sq. ins. X
Tons per inch, corresponding to the proportions of length and thick- = ne.-;s to width as per tables
Breaking weight, tons.
 
Continue to: