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所在平台: Udemy |
课程主页: https://www.udemy.com/course/strength-of-materials-part-iii/
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**课程名称：材料力学-第三部分 (Strength of Materials- Part-III)** **课程概述：** 本课程是材料力学系列讲座的第三部分，涵盖了薄壁圆筒、薄壁球壳以及柱和支撑等关键主题。通过丰富的数值算例，深入浅出地讲解了相关概念及其应用。学习本课程需要具备基础数学和固体力学知识。 **课程内容详解：** 1. **薄壁圆筒 (Thin Cylinders):** * 课程以薄壁圆筒的介绍开始，并辅以相关的数值计算。 * 详细讲解了环向应力（周向应力）和纵向应力等概念。 * 提供了计算环向应力、纵向应力、剪应力以及尺寸变化的推导过程。 2. **薄壁球壳 (Spherical Shells):** * 接着，课程转向薄壁球壳的概念，并通过数值算例进行演示。 * 阐述了球壳的环向应力（周向应力）概念。指出由于球形结构的对称性，不存在纵向应力。 * 对计算环向应力、剪应力以及尺寸变化进行了推导说明。 3. **柱和支撑 (Columns and Struts):** * 本部分重点介绍柱和支撑，详细讲解了长柱的欧拉理论及其假设，并提供了相应的数值算例。 * 阐述了欧拉理论的局限性，引出雷金-戈登（Rakhine-Gordan）公式的应用。 * 对雷金-戈登公式进行了讲解，并完成了相关的数值计算。 **其他特色：** * 提供额外的讲座，介绍相关的其他课程，以帮助学习者更深入地理解本课程内容。 * 课程结束后设有练习测试，旨在帮助学习者掌握并熟练运用所学知识解决实际问题。
This course is the third part of the lecture series of Strength of Materials course. It takes you through various topics like Thin Cylinders, Spherical Shells and Columns and Struts. Various numerical are solved to explain the concepts and their applications. Basic Mathematics and Solid Mechanics are the requirement for understanding of this subject.We start with introduction to Thin Cylinders and then solve numericals based on them. Concepts like Hoop Stress(circumferential stress) and Longitudinal stress are explained here. Then derivation on calculation of Hoop stress, longitudinal stress, shear stress and change in dimensions have been explained.Further, we move to the concept of Spherical Shells and then solve numericals based on them. Concept of Hoop Stress(circumferential stress) is explained here. There is no longitudinal stress for spherical shells as sphere doesn't have length. Then derivation on calculation of Hoop stress, shear stress and change in dimensions have been explained.Third section deals with Columns and Struts wherein Euler's theory and its assumptions for long column is explained. Numericals are solved for the same. Limitation of Euler's theory is also added for understanding the shift to use of Rakhine-Gordan Formula. Further, Rakhine-Gordan Formula is explained and numericals are solved on it. Lastly additional lecture has been provided to give extra information of the other available courses for better and in-depth understanding of the course.Test is given at the end of course for practice so that expertise can be gained in dealing with day-to-day problems.
