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 . 400 MECHANICS OF Fig. 349. The separate force triangles (half-parallelograms) bywhich the successive partial resultants Pa, etc., were found,are again drawn in Fig. 349. Now since Rc, acting in the ,Fig. 348, is the resultant of / Pj. P4, it is plain , x x r* that a force Bc equal to Rc and act-ing along c. P,butin the opposite di-rection, would balance the system P4, (is their anti
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 . 400 MECHANICS OF Fig. 349. The separate force triangles (half-parallelograms) bywhich the successive partial resultants Pa, etc., were found,are again drawn in Fig. 349. Now since Rc, acting in the ,Fig. 348, is the resultant of / Pj. P4, it is plain , x x r* that a force Bc equal to Rc and act-ing along c. P,butin the opposite di-rection, would balance the system P4, (is their anti-resultant). That is, the forces P[ P2 P3 P4 and RJ wouldform a system in equilibrium. The force RJ then, repre-sents the action of the vise T upon the beam. Hence re-place the vise by the force RJ acting in the line ... c -to do which requires us to imagine a rigid prolongation ofthat end of the beam, to intersect c. This is shown inFig. 350 where the whole beam is free, in equilibrium, underthe forces shown, and in precisely the same state of stress,part for part, as in Fig. 348. Also, by combining in oneforce diagram, in Fig. 351, all the force triangles of Fig. 349(by making their common sides
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
