Bending Under Pressure: Unlocking the Secrets of Steel Pole Design
"Exploring the Plastic Behavior of Polygonal Hollow Sections in Structural Engineering"
Steel poles with polygonal sections are increasingly favored over circular hollow sections, particularly for lighting towers and transmission line pylons. This preference stems from their economic advantages and aesthetic appeal. In the design of transmission lines, the focus is on minimizing land usage and achieving a visually subtle profile.
However, reducing the pole diameter increases the slenderness of the sections, necessitating thicker walls to maintain the required structural resistance. This increase in wall thickness can compromise the cost-effectiveness of the structure. Current European design rules for overhead electrical lines do not fully leverage the plastic behavior of stocky sections, thereby diminishing the benefits of using compact sections.
Modern standards, such as Eurocode 3 (EC3), recognize the activation of plastic reserves as a critical aspect of structural design. EC3-1-1 dictates that a cross-section's slenderness determines its classification (Class 1, 2, 3, or 4), which influences whether plastic design is permissible. A significant issue arises when transitioning from Class 2 to Class 3 sections, where EC3-1-1 prescribes a sudden, often unjustified, drop in resistance. This paper addresses this mismatch, presenting research aimed at optimizing the ultimate load of polygonal sections.
Why Understanding Plastic Behavior Matters for Steel Pole Design

The classification of cross-sections in EC3 depends significantly on the c/t ratio (width-to-thickness ratio) of the individual plate strips that form polygonal hollow sections. This ratio dictates whether a section can fully utilize its plastic capacity, which directly impacts its load-bearing potential. According to EC3 Part 1-1, Table 5.2, the limits for cross-section classes are defined by the following equation:
- Class 1 and 2 sections are capable of developing a plastic moment (MRk,pl/Mel ≈ 1.27), allowing for plastic design.
- Class 3 sections can only reach the yield limit at the extreme fiber, leading to elastic design.
- Class 4 sections experience buckling before reaching the yield limit, requiring resistance to be determined using effective cross-section properties (Weff/Wel < 1.0).
The Future of Steel Pole Design
The research presented here underscores the critical need to refine current design standards to better account for the plastic behavior of steel sections. By understanding and leveraging plastic reserves, engineers can design more efficient, cost-effective, and resilient structures. Ongoing research and revisions to standards like Eurocode 3 promise to bridge the gap between theoretical design and real-world performance, ensuring the safety and reliability of future steel pole structures.