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 . Fig. 12. Fig. 13. (using the notation of Fig. 12), we have Pa sec a = Pxaxsec a -f- P2a2 sec <x, , Pb = P1b1 -f- P2&2, in which b, b19and b2 are the oblique distances of the three lines of actionfrom any point 0 in their plane, and lie on the same straightline; P is the resultant of the parallel forces Px and Pa. 22. Resultant of any System of Parallel Forces in Space.—Let Pl9P2, P3, etc., be the force
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 . Fig. 12. Fig. 13. (using the notation of Fig. 12), we have Pa sec a = Pxaxsec a -f- P2a2 sec <x, , Pb = P1b1 -f- P2&2, in which b, b19and b2 are the oblique distances of the three lines of actionfrom any point 0 in their plane, and lie on the same straightline; P is the resultant of the parallel forces Px and Pa. 22. Resultant of any System of Parallel Forces in Space.—Let Pl9P2, P3, etc., be the forces of the system, and xt, y„s„ a?„ y„ sa, etc., the co-ordinates of their points of applicationas referred to an arbitrary set of three co-ordinate axes X, l7^and Z, perpendicular to each other. Each force is here re- 16 MECHANICS OF ENGINEERING. stricted to a definite point of application in its line of action(with reference to establishing more directly the fundamentalequations for the co-ordinates of the centre of gravity of abody). The resultant P of any two of the forces, asPl and Pv is ±= Pl -\- Pa, and may be applied at (7, the in-tersection of its own line of
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
