2024-09-18T02:38:32Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00013103
2023-03-16T04:47:03Z
1221:1223:1224:1289
Operational Method for Clapeyron's Theorem
YOSHIZAWA, Norikazu
39959
TANIMOTO, Bennosuke
39960
Various methods for the analysis of continuous beams have been proposed and investigated. They are compelled to treating simultaneous equations involving many unknowns, which have been recognized to be unavoidably necessary in the analysis of solid mechanics. This paper takes a set of bending moments at any two consecutive supports of a continuous beam as the matrix consisting 2-by-1 elements, which is referred to as the eigenmatrix. 1) Then, one of these eigenmatrices can be shifted from one span to its adjacent one by a certain shift operator matrix which is defined by the span length and the moment of inertia of cross-section. By such a shift operation, the bending moment at any support of the continuous beam can be obtained readily and systematically, dispensing with simultaneous equations. 2) The influence from external loads, settlement of suppots, and temperature change is also expressible by a 2-by-1 shift operator matrix. For these factors, it will be necessary to make a simple modification to the fundamental operators. This method will be of great advantage in the analysis of complicated continuous beams.
Article
信州大学工学部紀要 18: 1-40 (1964)
departmental bulletin paper
信州大学工学部
1964-12-28
application/pdf
信州大学工学部紀要
18
1
40
0037-3818
AN00121228
https://soar-ir.repo.nii.ac.jp/record/13103/files/Engineering18-01.pdf
http://hdl.handle.net/10091/10904
https://soar-ir.repo.nii.ac.jp/records/13103
eng