Linear elastic iterative method for stability ultimate capacity of equal-leg angle towers

Area of Science:

• Structural Engineering
• Mechanical Engineering
• Computational Mechanics

Background:

• Stability ultimate capacity is crucial for structural design.
• Existing methods for analyzing equal-leg angle towers have limitations in efficiency and accuracy.

Purpose of the Study:

• To develop an efficient and accurate linear elastic iterative method for determining the stability ultimate capacity of equal-leg angle towers.
• To introduce an adaptive elastic modulus adjustment strategy.

Main Methods:

• Selection and refinement of the angle steel stability generalized yield function (GYF) into a homogeneous generalized yield function (HGYF).
• Development of an element bearing ratio as a dynamic threshold for stress distribution.
• Implementation of an adaptive elastic modulus adjustment strategy within a linear elastic iterative framework.

Main Results:

• The proposed method demonstrates high accuracy and efficiency when compared to analytical solutions and traditional numerical methods.
• The HGYF provides a precise basis for the analysis.
• The adaptive strategy effectively manages stress distribution in elements.

Conclusions:

• The linear elastic iterative method with an adaptive elastic modulus adjustment strategy is a reliable and efficient tool for assessing the stability ultimate capacity of equal-leg angle towers.
• This method offers a significant improvement over existing techniques.