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 . ained form of therib (before any load, even its own weight, is permitted tocome upon it) ;the dotted curve shows its shape (much ex-aggerated) when bearing a load. For a given loadingThree Conditions must be given to determine the specialequilibrium polygon (§§ 366 and 367). Class A.—Continuous rib, free to slip laterally on thepiers, which have smooth horizontal surfaces, Fig. 420. This is chiefly of theoret
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 . ained form of therib (before any load, even its own weight, is permitted tocome upon it) ;the dotted curve shows its shape (much ex-aggerated) when bearing a load. For a given loadingThree Conditions must be given to determine the specialequilibrium polygon (§§ 366 and 367). Class A.—Continuous rib, free to slip laterally on thepiers, which have smooth horizontal surfaces, Fig. 420. This is chiefly of theoretic interest, its considerationbeing therefore omitted. The pier reactions are neces-sarily vertical, just as if it were a straight horizontalbeam. Class B. Rib of Three Hinges, two at the piers and oneintermediate (usually at the crown) Fig. 421. Fig. 36 alsois an example of this. That is, the rib is discontinuousand of two segments. Since at each hinge the moment oithe stress couple must be be zero, the special equilibriumpolygon must pass through the hinges. Hence as threepoints fully determine an equilibrium polygon for givenload, the special equilibrium is drawn by § Fig. 420. Fig. 421. [§ 378a will contain a construction for arch-ribs of threehinges, when the forces are not all vertical.] Class C. Rib of Two Hinges, these being at the piers, therib continuous between. The piers are considered im-movable, , the span cannot change as a consequence ofloading. It is also considered that the rib is fitted to its AKCH IUBS. 459 hinges at a definite temperature, and is then under no con-straint from the piers (as if it lay flat on the ground), noteven its own weight being permitted to act when it is fi-nally put into position. When the false worksor temporary supports are removed, stresses are in-duced in the rib both by its loading, including itsown weight, and by a change of temperature. Stressesdue to temperature may be ascertained separately andthen combined w
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
