Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (6): 547-555.

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AN ANALYSIS OF THE LARGE DEFLECTION OF AN ELASTIC-PLASTIC CANTILEVER SUBJECTED TO AN INCLINED CONCENTRATED FORCE

栾丰, 余同希   

  1. Dept. of Mechanics, Peking University, Beijing
  • 收稿日期:1990-04-03 出版日期:1991-06-18 发布日期:1991-06-18

AN ANALYSIS OF THE LARGE DEFLECTION OF AN ELASTIC-PLASTIC CANTILEVER SUBJECTED TO AN INCLINED CONCENTRATED FORCE

Luan Feng, Yu Tong-xi   

  1. Dept. of Mechanics, Peking University, Beijing
  • Received:1990-04-03 Online:1991-06-18 Published:1991-06-18

摘要: Based on the Plastica theory (see ref. [12]), the large deflection of an elastic-perfectly plastic cantilever subjected to an inclined concentrated force at its tip, before the unloading in the plastic region occurs, is analyzed in this paper. The emphasis of the analysis is put on the effects of the angle of inclination of the concentrated force upon the deformed shape, the load-deflection relationship and the length of the plastic region. Both analytical and computed results are given.

关键词: Large deflection, inclined concentrated force, elastic-plastic cantilever, Elastica, Plastica

Abstract: Based on the Plastica theory (see ref. [12]), the large deflection of an elastic-perfectly plastic cantilever subjected to an inclined concentrated force at its tip, before the unloading in the plastic region occurs, is analyzed in this paper. The emphasis of the analysis is put on the effects of the angle of inclination of the concentrated force upon the deformed shape, the load-deflection relationship and the length of the plastic region. Both analytical and computed results are given.

Key words: Large deflection, inclined concentrated force, elastic-plastic cantilever, Elastica, Plastica

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