How was the max deflection formula derived?

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Amy54
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does anyone know how the formula for calculating max deflection was derived? The formula is (Force x Length^3)/(48 x E x I). I think it was through intergration but if anyone knows more could you please let me know? thanks! :)
 
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Can you be more specific? Max deflection of what? What is the application?
 
sorry.. the max deflection formula for a simply supported beam... :)