Essentials in the theory of framed structures . nce, thelocation-direction of the equilibrant E is the line ea, and anypoint in it may serve as a location. Compare the results of the graphic and algebraic solutions. Draw the magnitude-direction and the location-direction why the location-directions ac and ce intersect on thelocation-direction ae. The location-direction diagram is not a closed figure whenconstructed by drawing resultants. (&) By Drawing the Components.—The method of drawingthe location-directions of the resultants, while short and sim-ple, obviously could not have be
Essentials in the theory of framed structures . nce, thelocation-direction of the equilibrant E is the line ea, and anypoint in it may serve as a location. Compare the results of the graphic and algebraic solutions. Draw the magnitude-direction and the location-direction why the location-directions ac and ce intersect on thelocation-direction ae. The location-direction diagram is not a closed figure whenconstructed by drawing resultants. (&) By Drawing the Components.—The method of drawingthe location-directions of the resultants, while short and sim-ple, obviously could not have been employed if the directions ofthe forces had been parallel; for there would have been no points 44 THEORY OF FRAMED STRUCTURES Chap. I of intersection in the location-direction diagram. The methodof drawing the location-directions of the components of forceshas a wider range of apphcabihty than the preceding method,but necessitates the drawing of more lines. The procedure forfinding the magnitude, direction and sense of the equilibrant. FIG. SI k is the same as in the foregoing solution; only in the method oflocating the equilibrant are the two solutions different. The full lines (Fig. 21/?) represent known magnitude-direction diagram has been closed (Fig. 21k).Choose any convenient point 0, called the pole; and draw themagnitude-directions oa, oh, oc, od and oe. The pole 0 shouldnot be taken on a line passing through any two adjacent another convenient point on a known location-direction, Sec. VI EQUILIBRIUM OF COPLANAR FORCES 45 as / on ab, and draw the location-directions ob, oc and od asindicated; thus establishing the points g, h and j. Through/ and j draw the location-directions oa and oe intersection at k closes the location-direction diagram anddetermines the location-direction ea of the equilibrant. The three forces acting at / are in equilibrium, since theirlocation-directions ab, bo and oa are concurrent an
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
