. Graphic statics, with applications to trusses, beams, and arches. f right-hand column, we have 6oF1 = (S1+ S2-9600)30- (^ + #2+2400)40+9120-45-4864-48;.-. 1^=1186 F, = 9120— 7, = 7934 lbs. The polygon of external forces is given in Fig. 53 comparison of the stress diagrams (not drawn) for Figs. 52 Aand 53 A, together with the relative values of maximum shearing 94 GRAPHIC STATICS. force and bending moment in Arts. 65 and 66, will serve to in-dicate the difference in the results obtained, in this particularexample, by the two methods of solution. When such frames are hinged at the
. Graphic statics, with applications to trusses, beams, and arches. f right-hand column, we have 6oF1 = (S1+ S2-9600)30- (^ + #2+2400)40+9120-45-4864-48;.-. 1^=1186 F, = 9120— 7, = 7934 lbs. The polygon of external forces is given in Fig. 53 comparison of the stress diagrams (not drawn) for Figs. 52 Aand 53 A, together with the relative values of maximum shearing 94 GRAPHIC STATICS. force and bending moment in Arts. 65 and 66, will serve to in-dicate the difference in the results obtained, in this particularexample, by the two methods of solution. When such frames are hinged at the bases of the columnsthe stresses in general are larger than when fixed at the base. 67. Problems. 1. Solve the example of Art. 65, assumingthe columns hinged at the base. Compare the results with thoseof Art. 65 2. Solve Problem 1 by the approximate method, and compareresults with those of Art. 66. Also compare the results with thoseof Problem 1. 3. Determine the maximum bending moment, maximumshearing force, and points of inflexion for the columns of Fig. 54,. Fig. 54. due to a vertical load of 20000 lbs. uniformly distributed overthe roof surface, together with a normal wind load of 12500 the inclined roof surface. Also determine the direct stressesin all the members of the frame. Assume the columns to behinged at the base. ROOF-TRUSSES. 95 4. Solve Problem 3, assuming the columns to be fixed at thebase. 68. Sway-bracing. Illustration. The frame (Fig. 55) ismade up of a number of transverse frames or bents, braced so asto resist distortion of any kind. Each bent is composed of a
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