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. Fig. 347, must close, whatever be the order in which itssides are drawn. For, if we combine PY and P2 into a re-sultant 0at Fig. 346, then this resultant with P3 to form aresultant Ob, and so on; we find the resultant of Pl9P2,P3,and P4 to be Oc, and if a fifth force is to produce equilib-rium it must be equal and opposite to Oc, and would closethe polygon OdabcO, in which the sides are equal and p
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. Fig. 347, must close, whatever be the order in which itssides are drawn. For, if we combine PY and P2 into a re-sultant 0at Fig. 346, then this resultant with P3 to form aresultant Ob, and so on; we find the resultant of Pl9P2,P3,and P4 to be Oc, and if a fifth force is to produce equilib-rium it must be equal and opposite to Oc, and would closethe polygon OdabcO, in which the sides are equal and par- GRAPHICAL STATICS. 399 allel respectively to the forces mentioned. To utilize thisfact we can dispense with all parts of the parallelograms inFig. 346 except the sides mentioned, and then proceed asfollows in Fig. 347 : If P5 is the unknown force which is to balance the otherfour (, is their anti-resultant), we draw the sides of theforce polygon from A round to B, making each line paral-lel and equal to the proper force and pointing the sameway ; then the line BA represents the required P5 inamount and direction, since the arrow BA must followthe continuity of the others (point to but
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
