Showing the mutual relation of Displacement, Power, Speed, Consumption of Coal, and capacity for Cargo of vessels of progressively increasing magnitude up to nearly 30,000 tons of Deep-draught Displacement, employed on a passage of 3,250 nautical miles, without recoaling: showing also the prime cost Expenses per ton of Cargo conveyed.

Mean or Mid-passage Displacement.Speed.POWER.Assumed weight of Hull and Engines.PASSAGE 3,250 N. M. DIRECT.
Nominal H. P.Indicated h. p.Time.Coal.Cargo.Deep Displacement.Expenses per Ton of Cargo.
Tons.N. M.H. P.h. p.TONS.D. H.TONS.TONS.TONS.£S.D.
8109436110916.22369120926842110
2,5009155620115515. 146611122733278
10213852121313.13577999278821611
112841136128412. 769986728493113
123681472136811. 783071729154145
8172688217216.22582253752911161
5,0009245980224515. 1737238653681197
103361344233613.1388222235441241
114481792244812. 71103200055512131
125812324258111. 7131117635655351
82761104427616.229345257104671123
93881552438815. 1116850281058411310
10,000105362144453613.1314074760107031169
117122848471212. 71753441110876221
129283712492811. 72094402511047294
1311804720518010.1024583591112292195
141472588854729.1628483104114243143
84361744843616.2214761082620738190
96202480862015. 1186610447209331911
20,000108523408885213.13223610030211181114
1111364544913612. 727979466213981149
1214725888947211. 733228867216611191
1318727488987210.1039008178219502411
1423409360103409.1645287396222642131

Mr. Atherton gives this table, which shows the following facts:

That, as the various sized vessels named, increase in speed from 8 to 12, or from 8 to 14 miles per hour, their horse power, as well consequently as their coal, increases:

That, as the speed increases, so does the weight of the hull and engines:

That, as the speed increases, with the consequent increased coal and engine weight, the cargo decreases: and

That, as the speed increases, with the other necessary conditions noticed, the expense per ton of cargo also increases in a rapid ratio. In the four cross columns ships of different sizes are considered; of 2,500, 5,000, 10,000, and 20,000 tons. There is also given the working or indicated horse power, and the nominal horse-power, or that of 33,000 lbs. raised a foot in a minute, which is the general basis of making contracts. It is a fact, however, that engines generally work up to three or four times their nominal horse power; so that the word horse power has no positive or useful meaning. Vessels called one hundred nominal horse-power have been known to work up to six hundred.

Let us take a ship of 5,000 tons. We find that at 8 miles per hour the horse power is 436; but at 12 miles it is 1,472, nearly four times as great. At 13 miles, it would be nearly 1800 horse, and at 14 it would be above 2100. So, also, with the weight of engines, boilers, etc. At 8 miles per hour they would weigh 1,109 tons; but at 12 they would have to weigh, to be large and strong enough, 1,368 tons. At 14 miles, they would weigh nearly 1,600 tons.

Now, see the columns "cargo" and "coal," and observe how rapidly that of coal increases, while that of cargo decreases in the inverse ratio of the coal, the engine, the boiler, and the hull weight combined. The cargo has come from 1,209 down to 717 tons; and if the speed were increased to 13 or 14 miles per hour, the cargo would be so reduced as to be unworthy of notice.

The next column shows how much greater the quantity of water displaced as the speed increases. This extra displacement requires extra power.