Application of the Golden Ratio in Architectural Design and Structural Optimization

In modern architectural design, architects need to pay attention to a space’s visual appeal while maintaining its structural soundness and practical functionality. In practice, the balance between visual appeal and structural integrity under the limitations of space and materials remains a significant challenge. In this context, the golden ratio, a time-honored mathematical principle, has found extensive application in architectural design because of its distinctive proportional characteristics. Thus, this study explores the application of the golden ratio in architectural design and its role in structural optimization. Through a review of the literature and case analyses, it investigates historical architectural examples and the strategies for applying the golden ratio in contemporary design. The results indicate that the proper use of the golden ratio can enhance the visual balance of spatial layouts while also improving structural proportions and load distribution. However, realworld applications are still limited by material costs and design practicality.