# Rational Approach for Evaluating Fire Resistance of Prestressed Concrete Beams Strengthened with Fiber-Reinforced Polymers

## TL;DR

This paper proposes a method to assess how well prestressed concrete beams strengthened with fiber-reinforced polymers resist fire, showing that adding fire insulation significantly improves their performance.

## Contribution

A new rational approach is introduced to evaluate fire resistance of FRP-strengthened prestressed concrete beams, incorporating temperature-dependent material properties and bond assumptions.

## Key findings

- FRP-strengthened PC beams without insulation fail within 75 minutes due to rapid strength loss.
- Adding 25 mm fire insulation allows beams to retain load-bearing capacity for up to 3 hours.
- The model's predictions align with experimental data from FRP-strengthened RC beams.

## Abstract

A rational approach is proposed for evaluating the fire resistance of fiber-reinforced polymers (FRP)-strengthened prestressed concrete (PC) beams. This approach expands on conventional fire design principles for PC beams, while incorporating the effects of FRP reinforcement and fire insulation into strength calculations under fire exposure. Simplified equations are utilized to evaluate the cross-sectional temperature distribution in fire-exposed FRP-strengthened PC beams, considering both insulated and uninsulated scenarios. These cross-sectional temperature profiles are then utilized to evaluate the reductions in the strengths of concrete, steel, and FRP based on their temperature-dependent mechanical properties. The moment capacity of the FRP-strengthened PC beams is determined at various fire exposure durations by applying force equilibrium and strain compatibility principles, assuming a full bond with no relative slip between the FRP and the concrete interface under fire exposure. The critical strength limit state is applied at each time interval to determine the failure state of the FRP-strengthened PC beam, with the final time to failure considered to be the fire resistance of the beam. The proposed approach is validated by comparing its results with available test data from FRP-strengthened reinforced concrete (RC) beams. The validated model is applied to evaluate critical parameters governing the fire resistance of FRP-strengthened PC beam. The results show that, without fire insulation, FRP-strengthened PC beams undergo a significant reduction in moment capacity early into fire exposure and fail within 75 min due to the rapid strength degradation of both the CFRP and the prestressing steel. In contrast, the application of 25 mm thick fire insulation allows these beams to retain a substantial portion of their load-bearing capacity for up to 3 h of fire exposure.