Essentials in teoria di strutture incorniciate . Leviti e reazioni di destra, determinato algebricamente, sono 50 lb. andSS lb. rispettivamente. Si tratta di uno spreco di tempo per trovare la reactionsgraphically quando le forze esterne sono paralleli. Un capitalletter è disposta nello spazio tra ogni forza esterna e ineach triangolo del telaio. Il contorno del traliccio representsessentially una posizione-schema di direzione e procediamo todraw una grandezza chiuso-direzione schema per ciascuno dei sistemi sixconcurrent-uno per ogni giunto. Poiché il termine jointspresent ma due incognite, o può essere scelto per TH

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Essentials in the theory of framed structures . Theleft and right reactions, determined algebraically, are 50 lb. andSS lb. respectively. It is a waste of time to find the reactionsgraphically when the external forces are parallel. A capitalletter is placed in the space between each external force and ineach triangle of the frame. The outline of the truss representsessentially a location-direction diagram, and we proceed todraw a closed magnitude-direction diagram for each of the sixconcurrent systems—one for each joint. Since the end jointspresent but two unknowns, either may be chosen for the draw-ing of the first diagram. The conventional method is to beginat the left end of a structure, proceeding in a clockwise rotationabout each joint. All location-directions are known. The 64 THEORY OF FRAMED STRUCTURES Chap. II problem is to determine unknown magnitudes or stresses actingin the various members. Beginning at the left-end joint, proceeding in a clockwise rota-tion, and including first the location-directions, having known. Pig. 40. magnitudes, we read GA, AB, BH and EG. The magnitude-directions ga, ab, bh and hg are laid off in the same order in Fig.406. The magnitude-directions ga and ab are known, and thediagram is closed by drawing bh and hg. The sense bh is towardthe joint; the sense hg is away from it. The magnitude-direc-tion bh scales 104 lb.; the magnitude-direction hg scales 96 lb.; Sec. I APPLICATION OF PRINCIPLES OF EQUILIBRIUM: 65 hence the stresses in BH and HG are 104 lb. compressive, and96 lb. tensile respectively. These numerical values, with minusand plus signs to signify compression and tension, are indicatedon the members of the truss. The adjacent upper joint now presents only two unknownstresses. The known magnitude-directions hb and he are laidoff (Fig. 40c) and the diagram closed by drawing cj and jh;giving —78 lb. and —26 lb. for the stresses in the members CJand JH. At the lower middle joint the stresses in three members JK, KL an

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• bookcentury1900
• bookdecade1920
• booksubjectstructu
• bookyear1922