Understanding Beam Deflection: Theory, History, and Formulas Explained

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Beam deflection theory has its roots in early attempts by Galileo, who incorrectly assumed constant shear stress across a beam's cross-section. The foundational principles were later refined by Euler, who introduced "engineer's beam theory," establishing that curvature is proportional to bending moment. Timoshenko further enhanced this theory around 1920, leading to the development of the Euler-Timoshenko beam theory. Understanding these historical contributions is crucial for grasping the underlying mechanics of beam deflection. The evolution of these theories highlights the importance of accurate assumptions in structural engineering.
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Hey guys so I've been looking everywhere on the internet, and i can't find any theory and history on beam deflection. I understand the formulas and all but what is the theory behind it, who discovered the first rational answer to explain things etc..

Please Help
 
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Galileo probably made the first recorded attempt at a theory of beams, but he got it wrong (he assumed the shear stress was constant across the cross section of the beam, which isn't correct).

Euler formulated what is usually called "engineer's beam theory" (curvature is proportional to bending moment, etc), and Timoshenko added some refinements to it in about 1920 - hence the name "Euler-Timoshenko beam theory"
 

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