How Does a Perpendicular Force Affect a Fixed Elastic Rod?

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A fixed elastic rod experiences bending when a small perpendicular force is applied at its midpoint, leading to deflection based on material properties and geometry. The discussion seeks resources such as books and papers to further explore the dynamics of this phenomenon and its extension to cylindrical shells. Key concepts include beam deflection and Young's modulus, which are critical for understanding the behavior of the rod under load. Participants are encouraged to share relevant literature or keywords that could aid in the research. This inquiry highlights the intersection of physics and engineering principles in material behavior under stress.
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I am studying the following phenomenon for my project:
Thin horizontal elastic rod is fixed at both ends and small perpendicular force is applied at middle of the rod perpendicular to its length. I want to study this dynamics and extend it to cylindrical shell. Please suggest books/papers or keywords for this type of phenomenon.
Thanks.
 
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