Cantilever Beam Height versus Deflection

Question

I have a problem whereby in a LINEAR analysis, a cantilever is vertically bent through a tip load.

A parametric study is required between...

Change in Tip Deflection (dZ) versus Change in Beam Height (dH)

I want to see the SENESITIVITY is more at higher deflection values or vice versa. Thats to say, same height change brings more change in cantilever deflection for higher beam deflections ?

Best regards, Rehan

Answer 1

The deflection of a cantilever beam subjected to a point load has a closed form solution.

δB = F L^3 / (3 E I)

It's not clear from your question if "height" means the beam thickness. If yes, substitute into the formula for I and take the derivative w.r.t. thickness to get the closed form solution.

It helps to know the answer before embarking on FEA.