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 . formed by super-posing the polygons already found in such a way as tomake equal sides co-incide; but the character of eachstress is not so readily perceived then as when they arekept separate]. In a similar manner we may find the stresses in any pin-connected frame-work (in one plane and having no redun-dant pieces) under given loads, provided all the support-ing forces or reactions can be found. In the case
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 . formed by super-posing the polygons already found in such a way as tomake equal sides co-incide; but the character of eachstress is not so readily perceived then as when they arekept separate]. In a similar manner we may find the stresses in any pin-connected frame-work (in one plane and having no redun-dant pieces) under given loads, provided all the support-ing forces or reactions can be found. In the case of a braced-arch (truss) asshown in Fig. 357, hingedto the abutments at bothends and not free to slidelaterally upon them, thereactions at 0 and B de-Fig- 357. pend, in amount and direc- tion, not only upon the equations of Statics, but on theform and elasticity of the arch-truss. Such cases will betreated later under arch-ribs, or curved beams. 332. The Special Equil. Polygon. Its Relation to the Stressesin the Rigid Body.—Reproducing Figs. 350 and 351 in and 359, (where a rigid curved beam is in equilibriumunder the forces Plt P2, P3, P4 and R\) we call a . b . c. 410 MECHANICS OF ENGINEERING. the special equil. polygon because it corresponds to a forcediagram in which the same order of forces has been ob-served as that in which they occur along the beam (fromleft to right here). From the relations between the force
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
