引用本文: 吴泽艳, 罗威, 田东方, 彭辉, 叶永. 截面核心概念的教学方法探讨1)[J]. 力学与实践, 2022, 44(2): 397-403.
WU Zeyan, LUO Wei, TIAN Dongfang, PENG Hui, YE Yong. DISCUSSION ON THE TEACHING METHOD OF THE CONCEPT OF CORE OF CROSS-SECTION1)[J]. MECHANICS IN ENGINEERING, 2022, 44(2): 397-403.
 Citation: WU Zeyan, LUO Wei, TIAN Dongfang, PENG Hui, YE Yong. DISCUSSION ON THE TEACHING METHOD OF THE CONCEPT OF CORE OF CROSS-SECTION1)[J]. MECHANICS IN ENGINEERING, 2022, 44(2): 397-403.

## DISCUSSION ON THE TEACHING METHOD OF THE CONCEPT OF CORE OF CROSS-SECTION1)

• 摘要: 截面核心是土木工程混凝土类不抗拉材料受压柱状结构设计中的重要概念。为了在材料力学课程中加深学生对截面核心的认识,首先运用MATLAB语言编写了截面核心的计算程序,通过若干计算实例使学生对截面核心的形状产生感性的认识,然后讨论了截面核心的外凸性：运用静力等效和叠加原理从力学上解释了截面核心的外凸性;运用中性轴方程和凸集的定义从数学上证明了截面核心是凸集。教学过程利于加深对截面核心概念的理解,也有助于培养学生认识新事物的思考方法。

Abstract: The core of cross-section is an important concept in the design of the columnar structure of concrete non-tensile materials under compression in the field of civil engineering. In order to deepen students' understanding of the concept of the core of cross-section in the course of material mechanics, it first developed a programing code with MATLAB to calulate the core of cross-section. The concrete numerical examples help students to understand the concept more easily. Then the convexity of the core of the cross-section was discussed. The convexity of the core of the section is explained by the static equivalence principle and the superposition principle from the perspective of mechanics; the convexity is proved mathematically by the neutral axis equation and the definition of convex set. The teaching process is helpful in cultivating students thinking skills.

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