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The objectives of this video are to give an introduction to Hooke’s law followed by a comprehensive workout on finding stress and strain in a column under axial loading. First of all, the video explains the theory of Hooke’s law that is a principle of physics which states that the forces needed to extend or compress a structure by some distance either in length contraction or elongation is proportional to that distance. The proportional constant is known as elastic modulus & it often refers to the ratio of stress and strain which allows deducing other when one of them has been known.
Moving on, the video presents a workout of stress and strain where the value of elastic modulus as well as the schematic diagram of the problem has been given. Next, the video illustrates the FBD & AFD for the example followed by an elaboration on how to find stress using the formula overviewed in previous video. Later, the video uses the obtained value of stress to find strain and subsequently shows how to find the change in length of the given exemplary column due to the load subjected.
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.