TURPENTINE. eo 
Example.—To calculate the total capacity or total contents of a 
full tank car with dished ends, having the following dimensions: 
Length of straight or cylindrical body of tank.-.....-. 32 feet 4 inches (388 inches). 
deo mlatzextemslon-OULdes ses <0. Boks ae oe SE ee a ee 14 inches. 
muetave | Nsidediaqmeler ns 4-32. fo ne ee ce 6 feet 6 inches (78 inches). 
Pricidesdiame femoruamkeneade a ft 6 Sia ee ee a ee 774 inches. 
HD oxic yeliamae hele he re Ne has oe a ee Baa 3 feet 8 inches (44 inches). 
First, calculate the volume of the straight part or body of the tank 
by means of the formula, 
Ve 371416 < 72 XE — 3 1416 x 392 388 — 1854 019 cubic inches 
(formula 5) 
Next, calculate the volume of one of the tank heads, consisting of 
the regular extension and the bilge. The regular extension, being 
cylindrical, is calculated by formula 5 in which r=4 of 774 inches= 
38.6 inches, and L=the inside length=1}—4=1 inch. Then the 
reeular extension volume, V,;=3.1416 x 38.6? x 1=3.1416 x 1490 x 1= 
4,681 cubic inches. 
The volume of the bilge, Vp, is dotemeined by formula 4, first finding 
the value for b, or the inside depth of the dished part of she tank heat 
by formula 3. As stated previously, R=10 feet or 120 inches and 
=4 the inside diameter of the tank head, or 38.6 inches. Substitut- 
ing these values in the formula, 
b = 120 —-+/120? —38.6? = 120 —-/14,400 —1,490 =6.4 inches. 
Substituting this value in formula 3, 
ie 5236 X 6.4 X (38 X 38.6? + 6.47) = 0.5236 x 6.4 x (3 X 1,490 + 40. 96) 
= 0.5236 x 6.4 x 4,510.96 = 15,116 cubic inches. 
The total volume of the whole tank head, Vy, is the sum of JV, 
and V,, or 4,681+15,116=19,797 cubic inches. If the regular ex- 
tension and the circumference, or inside diameter, at both ends of 
the tank are the same, the volume of the two ends of the tank will be 
twice 19,797, or 39,594 cubic inches. Then the total volume of the 
tank shell becomes 1,854,019+39,594=1,893,613 cubic inches, 
which, when divided by 231 (cubic inches per gallon), gives 8,197 
gallons. To this must be added the capacity of the dome pockets, 
which for a 44-inch dome on a 78-inch tank, is 10 gallons, making 
the full-load capacity of the car equivalent to 8,207 gallons. 
For horizontal cylindrical storage tanks with flat ends, the total 
capacity is calculated as for upright cylindrical tanks, 
Bale Seq SC IE 
V (in gallons) = 3] 
in which 
r= the average inside diameter of the tank, in inches. 
f,=inside length, or the distance between the two ends, in inches. 
