Essentials in the theory of framed structures . 50 X 1,200 = 180,000 180 X 1,200 = 216,000 75 X 500 = 37,500 210 X 1,350 = 283,500 65 X 720 = 46,800 240 X 900 = 216,000 35 X 1,200 = 42,000 1,316,700 126,300 126,300 240)1,190,400 4,g6o = Vi 8o THEORY OF FRAMED STRUCTURES Chap. II Balance the moments of the forces on the body Y about the center hinge,30 X 1,300 = 39,000 120 X SiOoo = 600,000 60 X 1,600 = 96,000 216,000 90 X 900 = 81,000 216,000 80)384,0004,800 ?acting to the left. Balance the moments of the forces on the body X about the center hinge, 30 X 1,200 = 36,000 120 X 4i96o = S9S>2oo


Essentials in the theory of framed structures . 50 X 1,200 = 180,000 180 X 1,200 = 216,000 75 X 500 = 37,500 210 X 1,350 = 283,500 65 X 720 = 46,800 240 X 900 = 216,000 35 X 1,200 = 42,000 1,316,700 126,300 126,300 240)1,190,400 4,g6o = Vi 8o THEORY OF FRAMED STRUCTURES Chap. II Balance the moments of the forces on the body Y about the center hinge,30 X 1,300 = 39,000 120 X SiOoo = 600,000 60 X 1,600 = 96,000 216,000 90 X 900 = 81,000 216,000 80)384,0004,800 ?acting to the left. Balance the moments of the forces on the body X about the center hinge, 30 X 1,200 = 36,000 120 X 4i96o = S9S>2oo 60 X 1,200 = 72,000 404,800 5 X S°° = 2>S°o 80)190,400 90 X 1,350 = 121,500 2,380 = Hi iSX 720= 10,800 acting to the X 900 = 108,00045 X 1,200 = °°404,800 Check by balancing the horizontal magnitudes,2,3801,2007205°°4,800 = 4,800Compare these results with the H- and F-components of ka and ab (Fig. 526). 51. The cantilever bridge supporting vertical loads andresting upon four vertical supports (Fig. 53a) appears to be. 7 8 9FIG. 53 b statically indeterminate, for there are four magnitudes todetermine—one at each support; but the indeterminatenessdisappears when we consider that the structure is composed ofthree rigid bodies AC, CD and DF fastened together by pin-connected joints at C and D. The portions AC and DF are Sec. II APPLICATION OF PRINCIPLES OF EQUILIBRIUM 8l called cantilever trusses; AB and EF are the anchor arms andBC and DE are the cantilever arms. The portion CD iscalled the center or suspended truss. The interaction of onepart of the structure upon another is seen more clearly by aconsideration of Fig. 536, where the center truss is shown as if itwere suspended from the cantilever arms. Loads applied at points i, 2 and 3 are supported at A and B;and that part of the structure represented by AGHB performsthe function of a simple truss. Loads at points 4, 5 and 6 arealso supported at A and B; but in this case the reaction at Ais negative,


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