Antoine Parent
Encyclopedia
Antoine Parent was a French
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

, born at Paris
Paris
Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...

 and died there, who wrote in 1700 on analytical geometry of three dimensions. His works were collected and published in three volumes at Paris
Paris
Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...

in 1713.

In 1713 Antoine Parent derived the correct formula for bending of cantilever beams. He correctly assumed a central neutral axis and linear stress distribution from tensile at the top face to equal and opposite compression at the bottom, thus deriving a correct elastic section modulus of the cross sectional area times the section depth divided by six. Unfortunately Parent’s work had little impact, and it was many more years before scientific principals were regularly applied to the analysis of the strength of beams in bending.
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