APPENDIX, No. VII.
EXCERPTS FROM AN ACCOUNT OF EXPERIMENTS UPON THE FORCE OF THE WAVES OF THE ATLANTIC AND GERMAN OCEANS.
By
Thomas Stevenson, F.R.S.E., Civil-Engineer, Edinburgh.

(From the Transactions of the Royal Society of Edinburgh, Vol. XVI.)

The letters (see Plate IV.) D E F D represent a cast-iron cylinder, which is firmly bolted at the projecting flanges G to the rock where the experiments are wanted. This cylinder has a flange at D D. L L is a door, which is opened when the observation is to be read off. A A is of iron, and forms a circular plate or disc, on which the sea impinges. Fastened to the disc are four guide-rods B B B B. These rods pass through a circular plate C C (which is screwed down to the flange D D), and also through holes in the bottom E F. Within the cylinder there is attached to the plate C C a powerful steel spring, to the other or free end of which is fastened the small circular plate K K, which again is secured to the guide-rods B B B B. There are also rings of leather T T, that slide on the guide-rods, and serve as indices for registering how far the rods are pushed through the holes in the bottom; or, in other words, how much the spring has been drawn out or lengthened by the force of the sea acting upon the plate or disc A A. The object of having four leathern rings, where one might have answered the purpose, was merely that they might serve as a check upon each other; and so perfectly did they answer the purpose intended, that in every instance they were found equidistant from the bottom of the cylinder; proving thereby, that after the recoil of the spring, they had all kept their places. The guide-rods are graduated, so as to enable the observer to note exactly the quantity that the spring has yielded.

This instrument, which may, perhaps, be not improperly termed a Marine Dynamometer, is, therefore, a self-registering apparatus which indicates the maximum force of the waves. In the graduation of the instrument, the power of the spring is ascertained by carefully loading the disc with weights, so that when the quantity that the spring has yielded by the action of the sea is known, the pressure due to the area of the disc exposed is known also. The discs employed were from 3 to 9 inches diameter, but generally 6 inches, and the powers of the springs varied from 10 lb. to about 50 lb. for every ¹⁄₈ inch of elongation. Their respective effects were afterwards reduced to a value per square foot. The instrument was generally placed so as to be immersed at about three-fourths tide, and in such situations as would afford a considerable depth of water. It is not desirable to have the instrument placed at a much lower level, as it has not unfrequently happened during a gale, that for days together no one could approach it to read off the result and readjust the indices to zero. It must, however, at the same time be remarked, that it is in most situations almost impossible to receive the force unimpaired, as the waves are more or less broken by hidden rocks or shoal ground before they reach the instrument.

In connection with the apparatus above described, a graduated pole was erected on an outlying sunken rock, for the purpose of ascertaining the height of the waves; but the observations were not of so satisfactory a nature as could have been desired, and the poles soon worked loose from their attachments, and disappeared.

With the instrument which has been explained, I entered upon the following train of observations:—

In 1842 several observations were made on the waves of the Irish Sea at the island of Little Ross, lying off the Bay of Kirkcudbright. Since April 1843 till now, continued observations have been made on the Atlantic at the Skerryvore and neighbouring rocks lying off the island of Tyree, Argyllshire; and in 1844 a series of observations was begun on the German Ocean at the Bell Rock. It will be seen, that in selecting these localities a varied exposure has been embraced, comprising the comparatively sheltered Irish Sea, the more exposed eastern shore of Scotland, and the wild Rocks of Skerryvore, which are open to the full fury of the Atlantic, the far distant shores of North America being the nearest land on the west.

Referring for more full information to the tables of experiments which are given at the end of this paper, it will be sufficient in this place to state generally the following as the results obtained.

In the Atlantic Ocean, according to the observations made at the Skerryvore rocks, the average of results for five of the summer months during the years 1843 and 1844, is 611 lb. per square foot. The average results for six of the winter months (1843 and 1844), is 2086 lb. per square foot, or thrice as great as in the summer months.

The greatest result yet obtained at Skerryvore was during the heavy westerly gale of 29th March 1845, when a pressure of 6083 lb. per square foot was registered. The next highest is 5323 lb.

In the German Ocean, according to the observations made at the Bell Rock, the greatest result yet obtained is 3013 lb. per square foot.

It thus appears, that the greatest effect of the sea, which has been observed, is that of the Atlantic at Skerryvore, which is nearly equal to three tons per square foot.

These experiments, amounting to 267 in number, and on the Atlantic alone, extending over 23 months continuously, are not intended to prove anything farther than the simple fact, that the sea has been known to exert a force equivalent to a pressure of three tons per square foot, however much more.

It is proper, however, to observe, that there may be some objection to referring the action of the sea to a statical value. Although the instrument might perhaps be made capable of giving a dynamical result, it was considered unnecessary, in these preliminary experiments, to do anything more than represent the maximum pressure registered by the spring, because the effects of the waves may, from supposing them to have continuity of action, be perhaps regarded as similar to a statical pressure, rather than to the impact of a hard body. The near coincidence, or indeed almost perfect agreement of the results of the experiments made with different instruments, goes far to shew that the waves act in very much the same manner as a pressure, although both pressure and impact must obviously enter into their effect. In the experiments, begun February 1844, and given at the end of the paper, the three instruments had not only different areas of discs, but very different powers of springs, and yet the results were almost identical. Now, the same force, supposing the waves to act like the impact of a hard body, would, in the Marine Dynamometer, have assumed very different statical values, according to the spaces in which that force was expended or developed; so that with the same force of impact, the indication of a weak spring would be less than that of a stronger.

In future experiments it may be interesting, however, to test the springs dynamically, by means of the impact of a heavy body dropped from a given height upon the plate or disc of the instrument. In some experiments lately made in this way, by dropping a cannon-ball upon the disc, it appeared, that, within the limits of the experiments, there was for each individual spring a ratio between the value registered by the leathern index and the calculated momentum of the impinging body. These ratios were, of course, found to vary in springs of different power, and to be constant only for springs of the same power. Did the waves, therefore, act by a sudden finite impact, like the cannon-ball employed in this instance, we could scarcely have found such harmony between the results of instruments with different springs, as the experiments alluded to afford. At the same time, the result cannot, perhaps, be in strictness considered correct; but, from the elongation of the spring being very small, the results may be regarded as practically correct,—the more so when we find so remarkable a coincidence of results as that alluded to.

Experiments.—With reference to the following experiments I have only to observe, that those which were made at Little Ross, upon the Irish Sea, cannot, from the unusual fineness of the weather at the time, be regarded as affording a true value of the effects of a hard gale in these seas. Of the others it is to be noticed, that where two or three instruments were for some time employed as a check upon each other, and only one or two readings are given, the want has occurred either from the instruments being under repair, or being difficult of access in stormy weather, or during neap tides. It often happened also, in consequence of the springs proving too weak, when new ones had to be made, or the area of the disc reduced. Registers of the state of the weather, apparent height of spray, &c., were generally kept; but it was not considered necessary to complicate the Tables by inserting these, excepting in one or two instances.

Dates. lbs. to a Square Foot.
Observations at Little Ross.
1842.  
April 25     15    
28     51    
June 1     36    
4     81·5  
20     86·5  
24    840·0  
25    458·0  
July 25    380·0  
Aug. 2    570·0  
5    665·0  
6    380·0  
9    380·0  
The Observations at the Skerryvore Rock, and the neighbouring Island of Tyree, distant 13 miles from the Skerryvore, are as follows:—
1843.  
April 24    455    
25    707    
May 7    243    
11    182    
12    243    
16    364    
20 -    495    
 476    
June 3    182    
4    519    
7    428    
8    855    
9    173    
July 2    476    
3 -    723    
 866    
30    433    
Aug. 9    346    
22    723    
30    389    
Sept. 5    866    
21    952    
Oct. 5   1535    
6   1606    
Nov. 18   1711    
19   1497    
27   1497    
29   2353    
Dec. 5   2674    
8 -   3421    
At least  
14   2460    
26   1947    
In January, two instruments were placed beside each other, but not set parallel. These instruments had springs of different power, the one being about double that of the other, and one had a disc of 3 inches diameter, the other 6 inches.
1844.  
Jan. 6    962    
     928    
7   2353    
     357    
9   1925    
    1000    
10    826    
    1000    
Both instruments set parallel.
  16    424    
     427    
Another instrument was placed beside them, but the two marked thus* were found to be too weak, as the leathers were found flattened, and one of the instruments was broken, and was not repaired till the 15th February.
  28   3422   *
    2285   *
3313    
Feb. 2    429    
     457    
3    429    
     457    
13    214    
     228    
15    321    
     280    
     321    
16    428    
     402    
     343    
24   1284    
    1364    
     685    
26   2032    
    2068    
     399    
27    321    
     321    
     342    
March 4   3316    
    3369    
    3427    
7   1069    
     963    
     913    
10   1925    
    1925    
    1713    
11    535    
     481    
     456    
12   3316    
    4011    
    2970    
13   1142    
    1283    
    1283    
April 10    457    
     428    
     481    
11    800    
12    343    
     321    
14    571    
     535    
16    571    
     642    
     481    
17    800    
     856    
     862    
18    571    
     481    
19    800    
     535    
     481    
22    913    
     482    
     962    
24   1942    
    1604    
    1370    
25   1283    
     343    
     321    
27    457    
     481    
  -   Night 800
tide
     642    
30    229    
     241    
May 15    343    
14    481    
June 6    571    
15   1828    
July 11   1028    
13    457    
18    914    
23   1532    
25    571    
26    971    
27    457    
28   1142    
29    286    
30    914    
31   1028    
Aug. 1    571    
7    914    
13    914    
14    914    
21    800    
30   1713    
Sept. 12   1028    
14    914    
20    457    
23   1142    
25    685    
30   1599    
Oct. 2   2399    
3   1485    
4   1828    
11   3427   [88]
14   1599    
19   1599    
20   2513    
22    800    
24   1827    
28   1485    
29    457    
Nov. 2   1942    
10   1028    
14   1257    
15   2056    
16   2056    
22   2627    
23   3427    
27   3199    
28   4112    
Dec. 7   1369    
9   2738    
10   1825    
13   1925    
14   1027    
15   1764    

[88] On this occasion, 14 stones were slightly moved, and 14 scattered, all of which had been built into the round-head or end of Hynish Pier, which was still in an unfinished state, and a Dynamometer which was attached to the Pier, registered on this occasion 2557 lb. These stones weighed from 1 to 1¹⁄₂ tons, and exposed, when built into the wall, about two square feet of surface. The stone to which the instrument was fixed was turned upside down, although it weighed about 1¹⁄₄ ton = 2800 lb.

A more exposed point of the Skerryvore Rock was at this time chosen for experiment; and with the view of ascertaining the effect of the waves at different heights upon the rock, two instruments were fixed, the one (No. I.) several feet lower, and about 40 feet seaward of the other (No. II.). It was observed, that about half-flood the force of the waves was a good deal expended before they reached the place where No. I. was placed, from there being so little water on the rocks outside; whereas when the tide was higher, the waves were, from the greater depth of water, not so much broken when they reached No. II. The results of the Marine Dynamometer shew generally about twice the force at No. II. as at No. I.; a result which shews how important it would be to ascertain the relative forces of the waves at different levels upon our breakwaters and other seaworks.

Date. Remarks. No. of
Instru-
ment.
Pressure
in lbs.
per
Square Foot.
1845.      
Jan. 7 Heavy sea. I. 1714
  ... II. 4182
12 Very heavy swell. I. 2856
  ... II. 5032
16 Heavy ground swell. I. 2856
  ... II. 4752
22 A good deal of sea. I. 2856
  ... II. 5323
28 Heavy ground swell. I. 2627
  ... II. 4562
Feb. 5 Fresh gales. I.  856
  ... II. 3042
21 ... I. 1827
  ... II. 3422
24 Fresh breezes. I. 1256
  ... II. 3802
March 9 Ground swell. I. 1256
  Waves supposed about 10 feet high. II. 3041
11 Short sea. I. 1028
24 Heavy sea. I. 2281
  Waves supposed about 20 feet high. II. 4562
26 Swell. I. 1256
  Waves about 6 feet high. II. 3041
29 Strong gale, with heavy sea, the highest waves supposed 20 feet high, and the spray rose about 70 feet. I. 2856
  ... II. 6083

Register of Observations on the force of the Sea, made at the Bell Rock, German Ocean.

Dates. lbs. to a
Square Foot.
1844.  
Sept. 15  853
20 2260
Oct. 9 3013
... 2562
26 1142
27  958
Nov. 12 1680
13 1920
Dec. 13 1560
26 1439
1845.  
Jan. 7 1559
10 1439
11 1439
15 1559
25  959
26  719
27 1199
30 2879
31 1559
Feb. 6 2999
24 1199
25  959
27  839
28 1319
March 4  959
7 1079
11 1919
20 2519
21 2759
24 1319
25  959
28  599
30 1079