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One Three hundred and Eighty Fourth

One Three hundred and Eighty Fourth. John Read @johndavidread. 2. +. =. +. =. =. =. 2. +. = +. q. q. Leonard Euler 1707 - 1783. Daniel Bernoulli 1700 - 1782. w. x. Eiffel Tower under construction 1887-1889. The Euler Bernoulli Beam Theory 1750. Bending moment.

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One Three hundred and Eighty Fourth

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  1. One Three hundred and Eighty Fourth John Read @johndavidread

  2. 2

  3. + = + = = = 2 + = +

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

  5. Bending moment Shear force slope deflection

  6. w q w q w q w q q w

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

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

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

  10. At the centre of the beam where x = ½

  11. At the centre of the beam where x = ½

  12. At the centre of the beam where x = ½

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

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