力学与实践 ›› 2020, Vol. 42 ›› Issue (5): 617-621.DOI: 10.6052/1000-0879-20-020

• 教育研究 • 上一篇    下一篇

浅议梁的强度与刚度的关系1)

马杭*,2),, 马永其*, 丁伟东, 丁超   

  1. *上海大学力学与工程科学学院,上海200444;
    上海樟祥电器成套有限公司,上海201400
  • 收稿日期:2020-01-14 修回日期:2020-04-01 出版日期:2020-10-08 发布日期:2020-10-22
  • 通讯作者: 2) 马杭,教授,主要研究方向为计算固体力学。E-mail: hangma@shu.edu.cn
  • 基金资助:
    1) 国家自然科学基金资助项目(11672173)

THE RELATION BETWEEN STRENGTH AND RIGIDITY OF BEAM1)

MA Hang*,2), MA Yongqi*, DING Weidong, DING Chao   

  1. *School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;
    Shanghai Zhangxiang Electrical Appliance Co., Ltd, Shanghai 201400, China
  • Received:2020-01-14 Revised:2020-04-01 Online:2020-10-08 Published:2020-10-22

摘要: 本文提出了梁的强刚比的定义,用无量纲的形式定量地表达了梁的强度与刚度之间的关系,以期充分发挥材料的潜力并促进材料力学的课堂教学。强刚比与载荷大小无关,其数值可以通过有限元方法或者通过梁的载荷试验来获得。结合工程实际,从设计和试验两个方面对梁的强刚比 及其影响因素进行了简要地探讨和分析。

关键词: 梁, 强度, 刚度, 强刚比, 安全系数

Abstract: In order to make a full use of the potential of materials as well as to promote the classroom teaching for the course of mechanics of materials, the strength-stiffness ratio of beams is introduced in the paper. The ratio provides a quantitative relation between the strength and the stiffness of beams in the non-dimensional form. It is independent of the magnitude of load, its value can be obtained through the finite element method or through the load test of beams. Combined with the engineering practice, the strength-stiffness ratio of beams are analyzed with its influence factors from the aspects of design and test.

Key words: beam, strength, stiffness, strength-stiffness ratio, safety factor

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