Abstract: A composite web structure utilizing a thin first layer of material having a plurality of structural fibers arranged to lie essentially in a unidirectional orientation. A thin second layer of material is positioned adjacent the first layer and includes a plurality of structural fibers. First and second layers are impregnated with a matrix material for binding fibers within the first and second layers and for binding the first and second layers together. The web may be formed into a composite structure such as a honeycomb core for fabrication into a panel.