A global approximation method to optimize material architecture and cr
oss-sectional area of new fiber reinforced plastic (FRP) composite bea
ms is presented. The sections considered are intended for applications
in short-span bridges. The beams are subjected to transverse loading,
and the optimization constraints include deflection limit, material f
ailure, and elastic buckling. Assuming a laminated structure for the p
ultruded FRP shapes, experimentally-verified micro/macromechanics mode
ls are used to predict member structural behavior. The design variable
s include the cross-sectional geometric dimensions and the material ar
chitecture. The constraint functions are defined through a global appr
oximation at a number of design points, and the approximate constraint
equations are obtained through multiple linear regressions and are de
fined as power law functions of the design variables. The proposed met
hod can concurrently optimize the dimensions and material architecture
of a given shape, and as an illustration, a new winged-box (WE) shape
is optimized. The present optimization approach combined with existin
g knowledge on FRP shapes can be used to develop various new shapes an
d to create a new family of efficient FRP geometries for the civil str
uctural market.