To find the number of planks required to form a float, to support a given weight.
1st. Find the content of one plank (videPractical Geometry, Part 12), and multiply it by the specific gravity of the wood; the product will be theweight of the timber.
2nd. Multiply the same solid content by the specific gravity of water: the product will be theweight of an equal bulk of water.
Then take the difference of these two products, or weight, and it will be the weight one piece of timber will support without sinking.Hence by Proportion, the number required to support the given weight may be found.
To find the number of casks required to form a raft to support a given weight.
1st. Find the solid content of one cask in cubic inches (videPractical Geometry), and multiply it by the specific gravity of water; the product will be the weight of a quantity of water of equal bulk with the cask.
2nd. From this product, or weight, subtract the weight of the cask, and the remainder will be the weight it will support without sinking.Then by Proportion, the number required for the formation of the raft may be found.
To find the number of boats, or pontoons, required to support a given weight.
The burthen a boat, or pontoon, will support without sinking beyond a given depth (the form of the boat, or pontoon being known) must first be found, thus—
1st. Find the solid content of the part to be sunk, in cubic feet (videPractical Geometry, Part 12), and multiply it by the specific gravity of water (videGravity, Part 12).
2nd. Subtract this product from the weight of the boat, or pontoon, and the remainder will be the burthen it will support without sinking beyond the required depth.
Then by Proportion, the number required to support the given weight may be computed.
Note.—In the construction of bridges, should a rope require to be extended across a rapid river, the coil should be placed in the boat (instead of on shore) and be paid out as the boat advances.
Those called Blanshard’s (from their inventor, Colonel Blanshard, Royal Engineers) are of two descriptions.
1.—LARGE PONTOONS.
Displacement of water, 97½ cubic feet, equals 6088 lb., or 54½ cwt.
The buoyant powerof a raft of two pontoons, its own weight deducted, is 77 cwt., about one-half of which is a safe load. Each raft, or one carriage load, forms 2 bays, or 20 ft. 8 in. of bridge: its own weight will sink it about 7 or 8 inches. The crew of a raft consists of 6 rowers, and 1 steersman.
At open orderthe bridge will pass cavalry, field artillery, or infantry, with closed files.
At close orderthe bridge will pass any part of a heavy train.
Dimensions, and weight of cylindrical pontoons, manufactured in the arsenal at Woolwich.