Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ches it is sometimes customaryto make a few of the intermediate piers large enough toact as abutments. These are called abutment piers, andin case one arch should fall, no others would be lost exceptthose occurring between the same two abutment piers asthe first. See Fig. 392. A is an abutment-pier. no-poo Fiu. 8!tt. GRAPHICAL TREATMENT OF ARCH. 358.—Having found the reduced load-contour, as inpreceding parag
Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ches it is sometimes customaryto make a few of the intermediate piers large enough toact as abutments. These are called abutment piers, andin case one arch should fall, no others would be lost exceptthose occurring between the same two abutment piers asthe first. See Fig. 392. A is an abutment-pier. no-poo Fiu. 8!tt. GRAPHICAL TREATMENT OF ARCH. 358.—Having found the reduced load-contour, as inpreceding paragraphs, for a given arch and load, we areready to proceed with the graphic treatment, , the firstgiven, or assumed, form and thickness of arch-ring is to beinvestigated with regard to stability. It may be necessaryto treat, separately, a lamina under the spandrel wall, andone under the interior loading. The constructions areequally well adapted to arches of all shapes, to Gothic aswell as circular and elliptical. 359.—Case L Symmetrical Arch and Symmetrical Loading.—(The steady (permanent) or dead load on an arch isusually symmetrical). Fig. 393. From symmetry we need o T. Fig. 393. Fig. 394. Fig. 395. 432 MECHANICS OF ENGINEERING. deal with only one half (say the left) of the arch and this semi-arch and load into six or ten divisionsby vertical lines; these divisions are considered as trape-zoids and should have the same horizontal width = o (aconvenient whole number of feet) except the last one, LKN>next the abutment, and this is a pentagon of a differentwidth &j, (the remnant of the horizontal distance LC), Theweight of masonry in each division is equal to (the areaof division) X (unity thickness of lamina) X (weight of a cu-bic unit of arch-ring). For example for a division havingan area of 20 sq. feet, and composed of masonry weighing160 lbs. per cubic foot, we have 20x1x160=3,200 lbs.,applied through the centre of gravity of the area o
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
