Simply supported beam with central load (Euler–Bernoulli beam theory)

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AlenDK

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Simply supported beam with central load (Euler–Bernoulli beam theory)

Hey Guys!, I wanted to know if any of you by chance had the proof of the fomula for the maximum deflection for a simply supported beam? When i look at https://en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory i can see alot of things, but i can't figure out how it ended up with W L/2 = P*L^3 / 48 * E * I? Can anyone explain it? :confused::D:D
 
Subhotosh Khan said:
Which text-book are you following?
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It is for a project in my school, where my assingment is: Show the proof of the above formula to calculate the maximum deflection with explanatory text and figures - So I am not following a text-book.. :D
 
AlenDK said:
It is for a project in my school, where my assingment is: Show the proof of the above formula to calculate the maximum deflection with explanatory text and figures - So I am not following a text-book.. :D
Click to expand...

Have you taken any courses in Solid Mechanics?
 
Denis said:
Is that really the equation, or should it be:

W * L / 2 = P * L^3 / (48 * E * I) ... or something else?
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Ups no, it is not the same. It is w_L/2 = P * L^3 / (48 * E * I) - The l/2 is just in the "name" if you can say that.
 
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