Annnals of Civil and Environmental Engineering

Thermal Stress Analysis of Continuous Rigid Frame Bridges Using Finite Element Methods

Introduction

Why Thermal Stress Is Critical in Bridge Design

Concrete box girder bridges are continuously exposed to:

  • Solar radiation
  • Daily and seasonal temperature fluctuations
  • Differences between internal and external temperatures

Because concrete has relatively low thermal conductivity and tensile strength, uneven temperature distribution can create internal stresses that lead to cracking and long-term deterioration.

Common consequences of unaccounted thermal stress

  • Surface and internal cracking
  • Reduced load-bearing capacity
  • Accelerated material degradation
  • Increased maintenance requirements

Study Methodology and Numerical Modeling

The ACEE study investigated a prestressed concrete continuous rigid frame bridge using advanced finite element analysis (FEA) techniques.

Key methodological features

  • Whole-bridge thermal stress analysis using beam elements
  • Detailed zero-block modeling with refined solid elements
  • Temperature gradients defined according to Chinese bridge design specifications
  • Evaluation of multiple improved temperature gradient scenarios

Major Findings of the ACEE Study

Global Bridge Temperature Effects

  • Temperature rise produced compressive stress in upper sections and tensile stress in lower sections
  • Temperature drop reversed this stress pattern
  • Thermal stress magnitude showed a linear relationship with temperature gradient amplitude

Zero Block Stress Characteristics

  • Maximum thermal stress occurred near the surface of the box girder roof
  • Stress values decreased rapidly with increasing depth
  • Transverse thermal stress was higher between diaphragm plates due to redundant structural constraints

Impact of Temperature Gradient Improvemen

Reducing the temperature gradient significantly lowered thermal stress levels:

  • Central zero-block stress decreased by approximately 60%
  • End zero-block stress decreased by around 75%
  • Stress reduction was most pronounced within the top 20 cm of the roof slab

These results demonstrate that temperature gradient control is an effective strategy for improving bridge durability.

Engineering Safety and Infrastructure Standards

Access to the Original Research

Conclusion

Call to Action

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