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所在平台: Udemy |
课程主页: https://www.udemy.com/course/strength-of-materials-part-ii/
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课程名称：材料力学-第II部分 课程概述： 本课程是材料力学主题讲座系列的第二部分，涵盖多个重要主题，如重心（C.G.）和转动惯量（M.I.）、应变能、梁的挠度以及扭转理论。通过解决各种数值题目来解释这些概念及其应用。学习本课程需要具备基础数学和固体力学的知识。 课程首先介绍重心和转动惯量的概念，并通过数值题目进行深入探讨，内容包括质心、重心、回转半径、转动惯量、极模数、截面模数、质量转动惯量、面积转动惯量、平行轴定理和垂直轴定理等。 随后，课程转向应变能的概念，讨论三种情况：逐渐施加的荷载、突然施加的荷载及带有冲击的突然施加的荷载。这部分将探讨这些情况下的应变能以及复合和复合棒的应变能。 接下来是梁的挠度部分，推导了弯曲公式，并讨论了麦考利法，该方法随后应用于求解在不同荷载条件下梁的斜率和挠度的数值题。 最后，课程研究扭转理论，并推导出扭转公式。通过设计轴并分析其在实际使用中的安全性来解决相关的数值题。同时，讨论了静不定梁的概念，并基于此解决了相应的数值题目。
This course is the second part of the lecture series of Strength of Materials subject. It takes you through various topics like Centre of Gravity(C.G.) & Moment of Inertia(M.I.), Strain Energy, Deflection of Beams and Theory of Torsion. Various numerical are solved to explain various concepts and their applications. Basic Mathematics and Solid Mechanics are the requirement for understanding of this subject.We start with introduction to (C.G.) and Moment of Inertia(M.I.) and then solve numericals based on C.G. and M.I.. Concepts like centroid, centre of gravity, radius of gyration, moment of inertia, polar modulus, section modulus, mass moment of inertia, area moment of inertia, parallel axis theorem and perpendicular axis theorem are explained here.Further, we move to the concept of Strain Energy. Three cases are discussed here- gradually applied load, suddenly applied load and suddenly applied load with impact. Strain energy for all these cases are discussed and also strain energy in composite and compound bars.Third section Deflection of Beams is explained. Flexural formula is derived and Macaulay's method is discussed which is then used for solving numericals for calculation of slope and deflection of beams under various loading conditions. Lastly we study about theory of torsion and derive torsional formula. Numericals are solved which is about designing shafts and analyzing if the design is safe for practical use. Concept of statically indeterminate shafts is discussed and numericals are solved based on it.
