Theoretical Analysis of Strain Incompatibility and Slip in a Mechanically Anchored FRP Composite System

Abstract

This study develops a new form of composite beam theory to study the connections of fiber reinforced polymers (FRPs), reinforced concrete beams, and closed-form solutions of four typical connections are derived and discussed. Comparisons with experimental data also show agreement. The maximum strain incompatibility of the mechanically anchored FRP system at two ends appears at the position where the first-order derivative of the applied bending moment Mex′ is zero or at the boundary positions. Compared with strain incompatibility, the slip is more critical for determining the composite behavior of the FRP-reinforced structure. The first-order derivative function of the slip is strain incompatibility. It is demonstrated that the structural response of this FRP system can be improved theoretically by introducing additional mechanical anchors at the critical locations from the slip perspective.