TAILIEUCHUNG - Bruhn - Analysis And Design Of Flight Vehicles Structures Episode 1 Part 10

Tham khảo tài liệu 'bruhn - analysis and design of flight vehicles structures episode 1 part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | CHAPTER All CONTINUOUS STRUCTURES - MOMENT DISTRIBUTION METHOD Introduction. The moment distribution method was originated by Professor Hardy Cross. The method is simple rapid and particularly adapted to the solution of continuous structures of a high degree of redundancy where It avoids the usual tedious algebraic manipulations of numerous equations. Furthermore It possesses the merit of giving one a better conception of the true physical action of the structure In carrying Its loads a fact which is usually quite obscure In some methods of solution. The method of procedure In the Cross method Is In general the reverse of that used in the usual methods where the continuous structure is first made statically determinate by removing the continuous feature and the value of the redundant then solved for which will provide the original continuity. In the Cross method each member of the structure Is assumed m a definite restrained state. Continuity of the structure 15 thus maintained but the statics pf the structure are unbalanced. The structure Is then gradually released from Its arbitrary assumed restrained state according to definite laws of continuity and statics until every part of the structure rests in Its true state of equilibrium. The general principles of the Cross method can best be explained by reference to a specific structure. Fig. shows a continuous 2 span beam. Let It be requited to determine the bending moment diagram. We first arbitrarily assume that each span Is completely restrained against rotation at Its ends. In the example selected ends A and c are already fixed so no restraint must be added to these points. Joint B Is not fixed so this Joint is Imagained as locked so It cannot rotate. The bending moments which exist at the ends of each member under the assumed condition are then determined. Fig. shows the moment curves for this condition. For calculation and formulas for fixed end moments see following articles . Fig. .

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