2024-03-29T06:07:28Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02007045
2022-10-31T03:13:50Z
1642837622505:1642837722116:1642837723324
1642838403551:1642838406845
モーメント分配法・Kani法・たわみ角法について
On Moment Distribution Method, Kani Method and Slope-Deflection Method
具志, 幸昌
Gusi, Yukimasa
This paper clarified the following. 1. So called "Kani method" is a kind of slope-deflection methods, i.e; every process of Kani Method can be explained by the slope-deflection method which is solved by Iteration. In the Iteration process of the slope-deflection method, calculating a joint rotation angle moment φ_i is none the less computing the fixed moment of jolnt i in the Kani method except some multiplier, and in the same process, computing a deflection angle moment ψ is not more than calculating the corresponding storey moment of Kani method except some multiplier. Mathematically, Kani method and the slope-deflection method solved by Iteration are identical. 2. Ordinary Cross method is also a kind of slope-deflection methods, which solved by Iteration. In the latter process we construct the equations like followings (c.f. Fig. 2)(数式については省略) Instead of the equations (1), solving two systems of equations (3) and (4) separately by Iteration, then this process is identical with the ordinary moment distribution method. Solving equation (3) by Iteration corresponds to solving the problem by the ordinary moment distribution method in which the given loads act no joint movement occurs. Solving equations(4) by Iterstion is the same process in the ordinary moment distribution method where some horizontal forces act and some joint movements occur and no given load acts. 3. Explaining the both of Kani method and ordinary moment distribution method by the slope-deflection method, as above, it is easy to understand the differences between Kani method and the ordinary moment distribution method. For example, speed of convergence of ordinary moment distribution method is cleary more rapid than that of Kani method, because of the small number of arguments. In the former case, however, the processes of moment distribution and balancing must be repeated some definite number of times and then balancing the horizontal forces are necessary. So, problem of "Which method is superior one" is not determined.
紀要論文
http://purl.org/coar/resource_type/c_6501
琉球大学理工学部
Science and Engineering Division, University of the Ryukyus
1970-06
VoR
http://hdl.handle.net/20.500.12000/23967
0387-429X
AN00250785
琉球大学理工学部紀要. 工学篇
Bulletin of Science & Engineering Division, University of the Ryukyus. Engineering
3
127
115
jpn
open access