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Page 1: What is this equation, who developed it and when ? Why is it important ?

What is this equation, who developed it and when ?

Why is it important ?

0

Page 2: What is this equation, who developed it and when ? Why is it important ?

Who are these two 18th Century Swiss Mathematicians ?

Page 3: What is this equation, who developed it and when ? Why is it important ?

Leonard Euler 1707 - 1783

Daniel Bernoulli1700 - 1782

The Euler Bernoulli Beam Theory 1750

𝑑2

𝑑𝑥2 (𝐸𝐼 𝑑2𝑤𝑑𝑥2 )=𝑞

Page 4: What is this equation, who developed it and when ? Why is it important ?

Eiffel Tower under construction 1887-1889

Page 5: What is this equation, who developed it and when ? Why is it important ?

How does this structure deform ?Is the correct deflected shape (a), (b), (c) or (d)

Hinge

Hinge

Roller

Applied Force

Joint assumedrigid

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