The discussion focuses on deriving the beam deflection formula for a double cantilever simple beam. The user presents the formula y = (FL^3)/(48—Iε) and seeks to connect it with the relationships M ymax / I and 1/p = M/EI. Participants clarify that the provided formula resembles that of a simply supported beam and suggest considering the two beams as springs in parallel or series to determine the effective spring constant. The derivation of the differential equation d^2y/dx^2 = M/EI is also recommended as a foundational step.
PREREQUISITESStudents in mechanical engineering, structural engineers, and anyone involved in analyzing beam deflection and structural integrity.
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.***ALLI*** said: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 :)