3: Congress, ) :d Session. ) SENATE. r Ex. Doc. 19, Part 8. LETTER FROM THE SECRETARY OF VAR, e Lagrene, (Navigation Interieure, vol. iii, p. 77,) gives the following formula : C — -- 7r in which e = thickness of concrete in meters ; l = half-width of lock in meters = 12 ; h = lift of lock in meters = 2 $ t r = safe tensile-strain on concrete = 5 tons per square meter. Substituting these values in the formula, we get e -144 + 12 V 144 + 2x2x5 5 = 1.9 meters = 6J feet. This result is a large one, and, as experience has shown (Minard, Navigation des Kivieres et des Canaux, p. 184) that the under pressure is always less than the theoretical head, I have estimated on a uniform thickness of 6 feet. 17,333 cubic yards concrete, at $5.. $86, 665 22,000 cubic yards gravel-excavation, at 30 cents. 6, 600 Piles and platform with concrete. 93, 265 The usual practice in France is to put the concrete on top of the platform, while the contrary is the practice in this country. It seems S. Ex. 19, pt. 8-2 18 TRANSPORTATION ROUTES. to me that where concrete is used under the platform voids may occur under the bottom of the lock by settlement or otherwise, and that under these circumstances the concrete would probably become de¬ tached from the piles and the under-surface of the platform, with which its bond is necessarily weak, and would fall into these voids. If this should happen, the platform would have to withstand the under-pres¬ sure without any help from the concrete. This would not occur, how¬ ever, where the concrete w r as placed above the platform, and for that reason I prefer the French practice. In the following estimate the supporting-piles are placed 7 feet apart over the whole area occupied by the chamber, and 3J feet apart under the walls, and 3 feet of concrete is placed on the platform. The maxi¬ mum upward pull on each pile under the chamber, allowing for the maximum under-pressure due to the head, is calculated at 5 tons, but experience has shown that this is much greater than will be found in practice. The friction on the sides of the piles will be ample to with¬ stand this upward pressure even at its maximum. Lock foundation-piles and concrete. Materials. Price. Quantity. Cost. Piles 12 feet long, driven . .. . 8425 . 2,576. $10,948 4, 725 4,200 10, 920 1 , 201 720 1 , 288 390 220 43, 335 3,750 6, 600 1, 250 Caps 10 by 12 . $35 per 1,000 . 135,000 . Iron straps, spikes, and bolts . 6 cents. . 70,000 pounds . 4-iuoh floor-planks . .... . . $35 per 1,000 . 312,000. Transverse floor-binders, 6 by 8 .. $35 per 1 000 . 34,320 feet b. m_ 18,000 pounds . 8-inch spikes . 4 cents . Labor capping piles . 50 cents ... 2,576 . Labor laying floor _ ____ 50 cents. __ 780 linear feet _ Labor laying floor-binders 110 Concrete . $5 . 8,667 cubic yards. . 2,500 cubic yards.. 22,000 cubic yards. 2,500 . Pi p-rap . $1.50 . Gravel-excavation .. . . 30 cents. . __ Pilling . 50 cents ___ Total.... 89, 547 Plate-bands of masonry resting on concrete and on piles and platform. The thickness of the plate-bands will be taken at 2J feet, resting on 2 feet of concrete in the first case, and on piles and platform in the second. In the first case, therefore, there will be a substitution of 2£ feet of plate- band masonry for 4 feet of concrete. The volumes of the two will there¬ fore be in the proportion of 5 to 8. Equality in cost would require that the price of a cubic yard of masonry should be one and three-fifths greater than that of a cubic yard of concrete. But as this masonry must be of cut-stone, it is evident that its cost would more than exceed this limit. This method of construction, therefore, need not be exam¬ ined in detail. The same remarks apply still more strongly to the case of plate-bands or piles and platform, as in this case the 2£ feet of ma¬ sonry only replaces 3 feet of concrete. Where concrete is used, with or without piles and platform, the bed of concrete must extend under the side-walls, replacing a portion of the masonry. This will make a reduction in cost of about $5,000 in lock- masoury. Summing up the results thus far obtained, we get the following: Lock on gravel with concrete floor. Coffer-dam. $9, 433 Sheeting-piles. 8,634 Pumping. 3, 020 TRANSPORTATION ROUTES. 19 Foundation and floor. $93, 265 Lock, as per estimate for rock-foundation. 179,610 Total. 293,962 Deduct from estimate on rock-foundation, coffer-dam, and pump¬ ing.................. $6,000 Rock-excavation. 20, 000 Saving on lock-walls. 5,000 -31,000 262,962 Add 10 per cent, for contingencies. 26,296 Total cost of lock... 289,258 Lock on gravel with piles, platform, and concrete. Coffer-dam. $9, 433 Sheeting-piles. 8,634 Pumping... 3,020 Foundation and floor. 89, 547 Lock, as per first estimate, with deductions as indicated above. 148,610 259,244 Add 10 per cent, for contingencies.. *. 25,924 Total cost of lock. 285,168 The foundation of concrete on piles and platform being the cheaper of the two, will be the one that will be used in the estimates. The costs of the navigable pass, the weirs, and the piers will also be different on gravel from what they were on rock. The following are the estimates on this part of the work : The coffer-dams are allowed to remain and become a part of the work, care being taken to cut them down to a foot or two below the level of the sills. The high weir has practically no coffer-dam, as what might be considered such is filled with concrete, and thus made the foun¬ dation for the wickets. Navigable pass and low weir on gravel. COFFER-DAM AND FOUNDATION. Material. Price. Quantity. Cost. Coffer-dam : Piles, 18 feet long. Sheet-piles. Stringers. Small sheet-piles Binders. Bolts. Dredging. Concrete. Cut-stone.. Sills. Labor. $5.16 per pile driven .. $6.65 per pile driven .. $35 per 1,000 feet. $1.50 per pile driven .. $35 per 1,000 feet. 3 cents per pound. 30 cents per yard. $5 per yard. $15 per yard. $45 per i,000 feet. 2 5. 2 . 980 feet . 2 . 7 feet . 200 pounds. 7 yards . 5| yards . 1 13-100 yard. 34 feet . $2 06 13 30 34 30 3 00 25 6 00 2 10 27 50 16 95 1 51 5 00 Total per running foot 111 97 20 TRANSPORTATION ROUTES. High web' on gravel. COFFER-DAM AND FOUNDATION. Material. Price. Quantity. Cost. Piles, 13 feet long...... |4.56 per pile driven .. $5.63 per pile driven .. $35 per 1,000 feet. $ . $3 36 11 26 2 80 9 40 1 51 15 00 X oo 2 00 5 00 Sheet-piles...... 2. 80 feet... Stringers___ Binders. $45 per 1,000 feet. 208.8 feet. Sills...... $45 per 1,000 feet. 34 feet.. Concrete....... $5 per yard. 3 yards.. ftra, vel...... 50 cents per yard. 2 yards .. Bip-rap. $2 per yard. 1 yard .. Labor... Total per running foot..... 51 33 Pier on gravel. The cost of foundation will be the same as that for the pass on gravel. The area of the pier will either be included in the coffer-dam for the pass, or in that for the low weir, and therefore its cost can be obtained from the one given for these parts by omitting the cut-stone and sills and multiplying by 11.48. We therefore have: Foundation, (111.97-18.46) X 11.48 ...$1,073 50 Masonry and capstan, as per previous estimate. 3,385 44 Total. 4,458 94 Abutment on gravel. The estimate already made for the abutment supposes it to be founded on gravel, and therefore it need not be changed. SUMMARY. Bringing together the estimates just made, we find the following: Navigable pass on gravel. Coffer-dam and foundation, per running foot. $111 97 Pumping, per running foot.-. 3 00 Appurtenances of the sole, per running foot. 25 55 Wicket... 48 57 Total. 189 09 Low weir on gravel. Coffer-dam and foundation, per running foot. $111 97 Pumping, per running foot. 3 00 Appurtenances of the sole, per running foot. 21 29 Wicket. 40 47 Total, per running foot. 176 73 High weir on gravel. Coffer-dam and foundation, per running foot. $51 33 Pumping, per running foot. 3 00 Appurtenances of the sole, per running foot. 17 03 Wicket. 32 38 Total, per running foot. 103 74 Pier. 44 59 Abutment. 86 46 TOTAL ESTIMATE FOR OHIO RIVER. In making this estimate it is first necessary to have an approximate location for each lock and dam, and then to appty to the lengths thus determined the costs per running foot that are given above. TRANSPORTATION ROUTES. 21 In the estimate based on rock-foundation the prices per running foot