This section is from the book "Cassell's Cyclopaedia Of Mechanics", by Paul N. Hasluck. Also available from Amazon: Cassell's Cyclopaedia Of Mechanics.
In constructing chimney shafts for Lancashire boilers, the area of the chimney at the top is based upon the size or capacity of the boilers. Thus, area in square inches = 180a/√h = 100HP/√h = 15P/√h , where a = area of firegrate in square feet, IIP = indicated horse-power of engine, or P = quantity of coal consumed per hour in pounds. The diameter externally at the base should be 1/10 to 1/12 of the height. The latter should be o;;in. to the foot, or about 1 in 33, though this is not imperative. The brickwork should be 9in. in thickness for the top 25 ft., and increase half a brick at each 25ft. from the top. If the inside diameter at the top exceeds 4ft. 6 in., the top length should be 1 1/2 bricks thick, and each of the lower lengths consequently half a brick thicker. The foundations should be carried down to the solid; they should be spread out so as to make a good broad base, and the load on the foundation should not exceed 1 ton on the square foot. After arriving at what appears to be a solid bed, it is a good plan to sink a trial hole under the centre of the chimney some feet lower; if the ground is found to be good, the hole may be filled with concrete at 10 or 12 to 1. The base for the chimney should consist of a solid block of concrete, 6 to 1, not less than 2 1/2 ft. or 3 ft. thick; and as concrete is cheaper than brickwork, it may be carried up in concrete to the invert of the flue.
 
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