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Many methods of analyzing statically indeterminate structures are now available. The method of redundant forces and that of deformations (i. e. the slope-deflection method), heretofore generally used in the U. S. S. R., both require the solution of a system of simultaneous simple equations. In the case of multi-storey and multi-bay bents, the large number of such equations would greatly complicate the calculation work, it being both time-consuming and liable to make mistakes. The method of moment distribution...

Many methods of analyzing statically indeterminate structures are now available. The method of redundant forces and that of deformations (i. e. the slope-deflection method), heretofore generally used in the U. S. S. R., both require the solution of a system of simultaneous simple equations. In the case of multi-storey and multi-bay bents, the large number of such equations would greatly complicate the calculation work, it being both time-consuming and liable to make mistakes. The method of moment distribution simplifies calculations to a great extent, as there is no need to solve simultaneous equations, and therefore it has been warmly received bY practical engineers. Many soviet scholars are also devoted to its study. There are, however, defects in this method, namely: (1) Should the moments obtained in the successive cycles of distribution and carrying-over prove to converge very slowly, twenty or more such cycles must be done if fairly accurate results are expected.(2) In the case of analyzing structures under various conditions of loading, while it is possible to find the influence moments by applying a unit moment at each joint as proposed by Prof. Hardy Cross, it would bequite laborious in the case of multi-storey and multi-bay bents containing a large number of members, especially when subjected to unsymmetrical loadings.For the remedy of the first defect, such Chinese scholars as Profs. Lin Tung Yen, Chao Tsu Wu, Meng Chao Li and Tsai Fang Yin have made much contribution, and the author of this paper has recently written a discussion on the two papers of the last-mentioned scholar. For the remedy of the second defect, the author is unaware of any except that mentioned below.One of the soviet scholars, Dr. P. P. Shaggin (i.e.) has suggested important improvements with regard to both these defects. For the former, he adopted a method of single-cycle distribution; and for the latter, he invented the method of successive conjugation which greatly reduces the work of calculation in finding the influence moments. The essence of these methods is well-worth studying on the part of our Chinese engineers. After an intensive study, the author of this paper thinks that, while Dr. Shaggin's methods are quite correct in principle, his methods of calculation can still be somewhat improved, as described herein, so as to be made more easily applied in practice.This paper Shaggin based upon the book, (Calculation of Multi-storey Frames by the Method of Successive Conjugation) published in 1954 by Dr. P. P. Shaggin in Leningrad, U. S. S. R., shows that, in applying a unit moment at each joint of a given statically indeterminate structure, one can easily find the influence moments at the ends of all the members, and that, after multiplying the unbalanced fixed-end moments at each joint calculated in accordance with the given external loads, by the respective influence moments, the sum of such products added to the original fixed-end moments will give at once the actual moments at each end of the members in the structure.Three notable improvements are indicated in this paper:(1) Dr. Shaggin's formula (5") on page 11 of his book, has been altered to formulas (3) in this paper. (2) For multi-storey bents, Dr. Shaggin's method of finding the conjugate moments (i. e. the influence moments) by formulas is replaced by the usual method of simple moment-distribution.(3) The author of the paper has extended the method to the analysis of multi-storey and multi-bay bents under any system of unsymmetrical loading.Of course, for structures under a single system of loading, influence moments need not be found and, generally speaking, it would be more convenient to apply the original method of moment-distribution; for a multi-storey bent, it would be better, even in this case, to modify it by applying the method of successive conjugation.The author is of the opinion that the application of the methods described in this paper, being convenient and time-saving, would be useful to the practical engineers.

本文以蘇聯學者沙金博士最近出版之“用逐次互聯法計算多層排架”一書为依據,叙述在已知超靜定結構中每一結點,施以單位力矩,可以很容易地求得各桿端的影響力矩;然後依照其所受外力荷載,求得各結点處的定端力矩,分別乘以相當的影響力矩,相加之後並加以原有的定端力矩,即得各該桿端的實際力矩。若結構承受多種多样的荷載(不問其為豎向的或平向的、對稱的或不對稱的),用此篇所述之方法以推算各桿端力矩,著者認為最便利、最省時,並且適合實際工作者之需要。

In this paper we give a brief Survey of the important educational and scientific activity of mathematician and astronomer Zhao Jinyi. He was born in 1902 and died in 1972. He received his Ph.D. from Lyon Uuiversity.He was professors of many universities and resercher of some institutes, including Lyon Astronomical Observatory. His reserch interest had been in complex analysis and celestial mechanics. He wrote and published original papers and monographs in the fields. He made an outstanding contribution to the...

In this paper we give a brief Survey of the important educational and scientific activity of mathematician and astronomer Zhao Jinyi. He was born in 1902 and died in 1972. He received his Ph.D. from Lyon Uuiversity.He was professors of many universities and resercher of some institutes, including Lyon Astronomical Observatory. His reserch interest had been in complex analysis and celestial mechanics. He wrote and published original papers and monographs in the fields. He made an outstanding contribution to the development of mathematics and astronomy in China.

赵进义先生(1902~1972)是我国著名的数学家和天文学家,他荣获法国里昂大学理学博士,并曾在里昂大学天文台从事研究工作。回国后历任中山大学、北平师范大学、西北大学、四川大学、北京工业学院等校的教授,并受聘为中央研究院天文研究所特约研究员。他在复分析与天体力学方面,曾发表有重要的创造性论文和专著。他对祖国数学与天文学发展作出了突出贡献。

This paper is a lecture on Dr. Joseph Needham delivered by the author at the 7th General Assembly of the Academicians of Chinese Academy of Science, June3-8,1994, Beijing, which elected him as one of its first 14 foreign academicians. It briefly describes the academic career of Needham and his contributions to Chinese science.

1994年6月8日,李约瑟博士已在中国科学院第七次院士大会上被选为中国科学院首批外籍院士。中国科学院自然科学史研究所研究员、中国科学院院士席泽宗于投票选举前(6月7日下午),在会上对李约瑟博士的学术生涯及其对中国科学所做的贡献作了简要的介绍。该文为席泽宗教授在会上的发言。

 
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