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SUMMARY:Jacob Bernoulli’s role in the history of elasticity: From a disc
ussion with a craftsman to the discovery of the elasticity rules - Sepideh
Alassi (University of Basel)
DTSTART;VALUE=DATE-TIME:20190312T140000Z
DTEND;VALUE=DATE-TIME:20190312T150000Z
UID:https://new.talks.ox.ac.uk/talks/id/c9f024ad-6d75-4ebe-ab2a-7809a8b1ee
ef/
DESCRIPTION:Jacob Bernoulli is known for his studies of the curves\, infin
itesimal math- ematics and statistics. However\, before being a professor
in mathematics\, he taught experimental physics at the University of Basel
. This explains his high interest in solving physical problems with newly
developed Leibnizian calculus. In his scientific notebook\, Meditationes\,
there are more than thirty notes about various mechanical problems for so
lving of which Bernoulli has applied Leibnizian calculus and has advanced
this method along the way. A discussion with a craftsman brought Bernoulli
’s attention to the problem of the strength of a beam early in his caree
r and occupied his mind until his death. The craftsman’s narration based
on his experience highlighted the flaws in Galilean-Leibnizian theory of
the strength of a beam. This was the starting point of Bernoulli’s quest
to mathematically find the profile of a bent beam (the Elastica Problem)
and the physical laws governing it. He started a challenge to encourage ot
her mathematicians of the time to study the problem\, providing a hint hid
den in an anagram. Although he published his solution of the Elastica Prob
lem in 1694\, that was not the end of the quest for him. Studying his unpu
blished notes in Meditationes reveals that over the last decade of his lif
e\, Bernoulli has reconsidered the problem. In my project\, I demonstrate
that he has found remarkable concepts such as mean tensile stress\, and th
e notion of local stress-strain relation\, etc.\nSpeakers:\nSepideh Alassi
(University of Basel)
LOCATION:Mathematical Institute (Classroom C2)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://new.talks.ox.ac.uk/talks/id/c9f024ad-6d75-4ebe-ab2a-7809a8b1ee
ef/
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DESCRIPTION:Talk:Jacob Bernoulli’s role in the history of elasticity: Fr
om a discussion with a craftsman to the discovery of the elasticity rules
- Sepideh Alassi (University of Basel)
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