Advanced Methods of Structural Analysis
8.4 Sidesway Frames with Absolutely Rigid Crossbars 295 ab h P EI EI EI EI=∞ P 1 i R 1 P cd Z 1 =1 × × × 6 i h 6 i h 6 i h 6 i h ...
296 8 The Displacement Method Shear within all vertical members isQD.M 0 CM 0 =h/DP=3. The reaction of all supportsR 0 DQDP=3. F ...
8.5 Special Types of Exposures 297 ab a b A 2 b 1 2 a A φ 1 i1-3=0.2EI i4-5= 0.333EI i 6-8=0.2EI 1 5 8 6 3 4 φ 10m 5m 3m c a R 1 ...
298 8 The Displacement Method Solution.The primary system of the displacement method is presented in Fig.8.11b. The primary unkn ...
8.5 Special Types of Exposures 299 The equilibrium condition of the horizontal element is used to calculateR 2 s X XD 0 !R 2 sD ...
300 8 The Displacement Method 8.5.2 Errors of Fabrication......................................... In cases of fabrication error ...
8.5 Special Types of Exposures 301 The bending moment diagram in unit state is presented in Fig.8.12c. The loaded state (Fig.8.1 ...
302 8 The Displacement Method In this case, the extended fibers at the center support are locatedabovethe neu- tral line and the ...
8.6 Analysis of Symmetrical Structures 303 fact: the degree of statical (or kinematical) indeterminacy for a half-frame is less ...
304 8 The Displacement Method Ta b l e 8. 6 Symmetric frame and corresponding half-frame for symmetric and antisymmetric loading ...
Problems 305 Now assume that the number of spans is even. It means that additional vertical member is placed on the axis of symm ...
306 8 The Displacement Method 8.1–8.2.A two-span uniform beam with pinned and rolled supports is subjected to a fixed load (Figs ...
Problems 307 l 1 0.5l P 0.5l Fig. P8.5 Ans.M 1 D Pl 16 . 8.6.A two-span nonuniform beam with fixed ends is loaded as shown in F ...
308 8 The Displacement Method Δ 1 l l Fig. P8.8 Ans.M 1 D 12 7 EI l^2 : 8.9.A two-span uniform beam with fixed ends is subject ...
Problems 309 8.11.A frame is subjected to uniformly distributed loadq, as shown in Fig.P8.11. The stiffness of the right elastic ...
310 8 The Displacement Method 1 2 h^ = 5m l = 6m 6m P 12 3 456 Fig. P8.13 by constructing the internal force diagrams. Trace the ...
Problems 311 h P EI EI EI EI = ∞ Fig. P8.15 Ans.M 0 DPh=3,R 0 DP=3. 8.16.A design diagram of a frame with columns having a step- ...
312 8 The Displacement Method 8.18.Resolve a given load into symmetrical and antisymmetrical components. Axis of symmetry (AS) i ...
Chapter 9 Mixed Method This chapter is devoted to the analysis of special types of structures. They are the frames with differen ...
314 9 Mixed Method 1 2 A a c A X 1 Z 2 Z 3 b d X 1 X 1 Z X^2 3 Z 4 1 2 Fig. 9.1 (a, b)Design diagrams of frames with different r ...
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