How to Derive Beam Deflection Formula for a Double Cantilever Simple Beam?

[***ALLI***]

Homework Statement

hi i am currently trying to mathcamatically derive the beam deflection formula for a double cantilever simple beam. i have the beam deflection formula y= (FL^3)/(48—Iε) as well as M ymax / I as well as 1/p = M/EI but am not sure how to link them together. any help will be apprecieated
Thanx :)

 

[PhanthomJay]

Homework Statement

hi i am currently trying to mathcamatically derive the beam deflection formula for a double cantilever simple beam What's that? Do you mean a beam on two simple supports?[/color] i have the beam deflection formula y= (FL^3)/(48—Iε)what's this? It looks something like the deflection at centerline of a simply supported beam with a concentrated load F at its center, but your denominator makes no sense. [/color] as well as? = [/color] M ymax / I as well as 1/p = M/EI but am not sure how to link them together. any help will be apprecieated
Thanx :)

See my questions noted in red. Are you looking for the derivation of the beam deflection formula $$d^2y/dx^2 = M/EI$$ ? You might want to google it.

 

[guorenguoren]

you definitely need to consier the two beams as springs in parallel or series, then get the effective spring constant