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I have a system that consists of a clamped-clamped beam with a residual stress and am trying to find an equation that governs its deflection due to a point force that takes stress into consideration. A formula I have come across:

d = (F*L^3)/(192*E*I)

does not accurately model the measured displacement of the beam.

d : maximum central deflection (m)

F : magnitude of applied point force (N)

L : length of the beam (m)

E : Young's modulus (Pa)

I : moment = (w*t^3)/12 (m^4)

Is there a formula that includes residual film stress as well? Or is there a good tutorial available for deriving such a formula?

As a word of warning, I do not have a strong background in mechanics, so I apologize if I overlooked something simple.

Thank you in advance for you help!

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# Clamped-clamped beam load deflection with residual stress

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