Advanced Methods of Structural Analysis

Problems 195 Group 2This group presents methods, which are based on the concept of the strain energy. The following precise anal ...

196 6 Deflections of Elastic Structures y B l q A x Fig. P6.1 Ans.y.x/D ql^4 30 EI  1  5 4 x l C x^5 4l^5  ;yAD ql^4 30 EI ; ...

Problems 197 y l x P A B Fig. P6.4 Ans.EIy.x/D Pl^3 12  3 x^2 l^2  2 x^3 l^3  I EIy.l/D Pl^3 12 . 6.5.A beam pinned with tors ...

198 6 Deflections of Elastic Structures 6.7.The uniform beam is subjected to vertical displacementof supportAas shown in Fig.P6 ...

Problems 199 RB P A l q RA EI C B Fig. P6.9 Ans.ycD Pl^3 48 EI C 5 384 ql^4 EI I AD ql^3 24 EI C Pl^2 16 EI .clockwise directio ...

200 6 Deflections of Elastic Structures 6.12.A uniform circular bar is clamped at pointBand carrying the coupleM 0 ,the forcesPa ...

Problems 201 6.14.A circular bar with central angle 80 ıis clamped at pointAand free at point B. The bar is subjected to horizon ...

202 6 Deflections of Elastic Structures (a)Vertical displacement of joint 4 (b)Mutual (relative) displacement of joints 2 and 3 ...

Problems 203 Ans.AD 1 k ql^4 128 EI C 15 128 ql^4 EI D ql^4 8 EI ; D 1 16k C 15 16 : 6.19.Uniform simply supported beam is sub ...

204 6 Deflections of Elastic Structures 6.22.The frame is subjected to horizontal forcePacting at pointK(Fig.P6.22). The numbers ...

Problems 205 Ans.vertD 1024 EI .#/I horD 192 EI .!/I CD 192 EI .clockwise/I DD 120 EI .counterclockwise/. 6.25.The portal ...

206 6 Deflections of Elastic Structures 4 C B P A 4 4 2 Fig. P6.27 Ans.CD 64 3  P EI  1 C 3 32 I A  . 6.28.Design diagram of ...

Problems 207 Ans.y 1 D 637 9 P EA I y 2 D 1146 9 P EA I y 3 D 1274 9 P EA . Problems 6.30 through 6.33 are to be solved using th ...

208 6 Deflections of Elastic Structures P =1 ul=l/4 υl= 3 l/4 k State 1d (^) kj 1 j State 2 rjk Fig. P6.32 Ans.ıkjDrjkI rjkDu^ ...

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Part II Statically Indeterminate Structures ...

Chapter 7 The Force Method The force method presents a powerful method for analyzing linear elastic statically indeterminate str ...

212 7 The Force Method system (principal or released structure)is such structure, which is obtained from the given one by elimin ...

7.1 Fundamental Idea of the Force Method 213 X 1 X 1 X 1 a b cd Fig. 7.2 (a) Design diagram of a portal frame; (b–c) The differe ...

214 7 The Force Method More complicated statically indeterminate frame is presented in Fig.7.4a. This structure contains three s ...