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John + = + = = = Daniel Bernoulli 1700 - 1782 Leonard Euler 1707 - 1783 The Euler Bernoulli Beam Theory 1750 Eiffel Tower.

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Presentation on theme: "John + = + = = = Daniel Bernoulli 1700 - 1782 Leonard Euler 1707 - 1783 The Euler Bernoulli Beam Theory 1750 Eiffel Tower."— Presentation transcript:

1 John Read @johndavidread

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5 + = + = = =

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7 Daniel Bernoulli 1700 - 1782 Leonard Euler 1707 - 1783 The Euler Bernoulli Beam Theory 1750 Eiffel Tower under construction 1887-1889 q q w x

8 Shear force Bending moment slopedeflection

9 q q q q q w w w w w

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12 For q(x) = a constant, setting q = 1, and setting both E = 1 and I = 1 and for a unit length beam l = 1

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15 At the centre of the beam where x = ½

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18 The coefficients are the reciprocals of the double factorials !! of n, for n = 0 to 4

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