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 . 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. SPACE DIAGRAMFig ..358. FORCE DIAGRAMJig. 359. diagram and equil. polygon, this special equil. polygon inthe space diagram has the following properties in
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 . 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. SPACE DIAGRAMFig ..358. FORCE DIAGRAMJig. 359. diagram and equil. polygon, this special equil. polygon inthe space diagram has the following properties in connec-tion with the corresponding rays (dotted lines) in the forcediagram. The stresses in any cross-section of the portion OA ofthe beam, are due to Px alone; those of any cross-sectionon AB to Pl and P2, , to their resultant Pa, whose mag-nitude is given by the line Oa in the force diagram, whileits line of action is ab the first segment of the equil. poly-gon. Similarly, the stresses in BG are due to Pb P2 andP3, , to their resultant i?b acting along the segment be,its magnitude being = Ob in the force diagram. , ifthe section at m be exposed, considering OABm as a freebody, we have (see Fig. 360) the elastic stresses (or inter- 6--TV —rP* ^ \v .m Fig. 360. Fig. 361. nal forces) at m balancing the exterior or applied forces Pl5 P2 and P3. Obviously, then, the stresses at m are just
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
