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The objectives of this video are to introduce the parallel axis theorem and to find moment of inertia with respect to axis x for a composite section. At first, the video talks about the shortcomings of the formula used to find moment of inertias for simple shape. These formulas are only valid when the centroid of the shape is at the centroid of the cross-section; however, this is not true for composite sections. This demands necessity of parallel axis theorem for the calculation of moment of inertias for composite bodies. Moving on, the video introduces with the formula of parallel axis theorem.
The formula shows that the moment of inertias of a composite body with reference to an arbitrary axis is equal to the sum of moment of inertias for the complex shape plus the product of ‘area of the shape times the square of the distance between the section centroid and shape centroid’. The video moving forward shows a workout of finding the moment of inertia with respect to axis x for a given exemplary section of T-beam. At end, the video refers to watch next video to continue the lesson.
Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.