Deflections of Beams

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课程主页: https://www.udemy.com/course/structural-analysis-deflections/

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**课程名称:** 梁的挠度 **课程概述:** 本课程深入探讨结构分析中的一个重要概念——梁的挠度。作为土木工程师,理解梁的变形(包括斜率和位移)对于设计和建造安全的建筑至关重要。本课程将教授三种计算静定梁挠度的方法: 1. **双重积分法:** 从弯曲刚度乘以二阶导数等于弯矩函数的方程出发,通过两次积分求解斜率和位移。 2. **力矩面积法:** 一种相对位移法,用于确定梁上某点相对于另一点的斜率和位移,除非另一点的斜率和位移为零,否则不直接从基准线测量。 3. **共轭梁法:** 通过将实际梁替换为具有特定性质的人工/共轭梁,使共轭梁中的剪力和弯矩对应实际梁中的斜率和位移。 通过学习本课程,学员将掌握计算梁挠度的三种关键方法。课程也涵盖了在已知超静定梁所有反力的情况下,计算其挠度的方法。 **讲师:** Engr. Muhammad Shafique

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Structural Analysis: Deflections of BeamsBecoming a Civil Engineer is the dream of every person. But believe me or not, practice is a thing that makes you a perfect engineer.This course is designed to determine the deflection of beams. As you know, beam is an integral part of any building, we must be able to understand how the beam deflects and how much it deflects.The course covers determination of deflections (i.e. Slopes and Displacements) of determinate beams by using three methods.Those three methods are:1. Double Integration method In this method, we start from one equation i.e. double derivative times bending stiffness is equal to moment function. then we double integrate it to find slope and displacement.2. Moment Area method This is a relative method in which we find the slope and displacement at a point with respect to another point and not from the datum unless the other point has zero slope and zero displacement.3. Conjugate Beam method The method in which we replace the real beam with an arbitrary / conjugate beam having certain properties in order to correspond shear and moment in conjugate beam with slope and displacement in real beam.By completing this course, you will be equipped with three methods of finding deflections of beams. I recommend you, learn all the above three methods to be a perfect engineer.Deflections of indeterminate beams can also be found by this course in case if you know all reactions of indeterminate beams.Regards,Engr. Muhammad Shafique

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