Essentials in the theory of framed structures . and through the left andcenter hinges draw lines parallel to bf, intersecting the location-directions OB and OF. Connect these intersections by thelocation-direction OL, which closes the location-directiondiagram for the four forces B to F. Draw the magnitude-direction ol, which determines the magnitudes of two loads bland If; which, if applied at the left and center hinges respec-tively, will have the same effect upon the equilibrium of thebody X as the four loads B to F. The magnitude-direction of the resultant of the four loads 78 THEORY OF FR
Essentials in the theory of framed structures . and through the left andcenter hinges draw lines parallel to bf, intersecting the location-directions OB and OF. Connect these intersections by thelocation-direction OL, which closes the location-directiondiagram for the four forces B to F. Draw the magnitude-direction ol, which determines the magnitudes of two loads bland If; which, if applied at the left and center hinges respec-tively, will have the same effect upon the equilibrium of thebody X as the four loads B to F. The magnitude-direction of the resultant of the four loads 78 THEORY OF FRAMED STRUCTURES Chap. II F to Kisfk. Through the center and right hinges draw linesparallel to fk intersecting the location-directions OF and these intersections with the location-direction OM,closing the location-direction diagram for the four forces F toK. Draw the magnitude-direction om, which determines themagnitudes of two forces fm and mk; which, if applied at thecenter and right hinges respectively, will have the same effect. upon the equilibrium of the body Y as the four loads F to the sake of clearness the location-directions BL, LF, FMand MK are reproduced in Fig. $2C. Two forces are actingat the left hinge—the reaction AB and the load BL; the location-direction of their resultant AL must pass through the left andcenter hinges. Therefore through I draw the magnitude-direction parallel to the location-direction AL. Similarlythe location-direction of the resultant of the load MK and thereaction KA acting at the right hinge is MA, which must passthrough the center and right hinges. Hence through m Sec. II APPLICATION OF PRINCIPLES OF EQUILIBRIUM 79 draw the magnitude-direction parallel to the location-directionMA intersecting the magnitude-direction through / at a. The location of a fixes the magnitude-directions ka and abwhich, when drawn, will close the magnitude-direction diagramfor the external forces and completely determine the reactions. Draw th
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
