Tip stiffness of a uniformly loaded cantilever
= Tip stiffness of a uniformly loaded cantilever
{title2=$k_{\rm eff}=8B/L^3$}
For a <uniform-load bending of a clamped filament>, total load $F=wL$ and tip displacement $\delta=wL^4/(8B)$ obey <Hooke's law> in the form $F=k_{\rm eff}\delta$, with $k_{\rm eff}=8B/L^3$. This stiffness depends on the specified distributed loading. A concentrated tip force instead gives $3B/L^3$, so equal total forces with different distributions are not interchangeable.