Derivation of expression for strain in a beam that experiences transverse vibrations
Engineering Asked on July 25, 2021
I was watching
this video (the link to the video is https://www.youtube.com/watch?v=AoxTyIJprg8&list=PLMXj6GKKnHI6Lftj7CXr9WusMkXi5s9yH&index=60) which is part of a course on mechanical vibrations. Can someone explain how the expression for strain is derived in the video? Why is strain the derivative of u(x,t)?
One Answer
Strain is the ratio of change in length of a layer of fiber in the beam with respect to its original length. And it is a function of displacement (elongation/shortening) in direction of the longitudinal axis, x, at time t (for the changes, length and sign, are dynamic in nature).
Answered by r13 on July 25, 2021
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