Design and Optimization of Self-Supporting Surfaces With Arch Beams.

Area of Science:

• Structural Engineering
• Computational Geometry
• Material Science

Background:

• Traditional construction methods often involve complex support structures.
• Achieving self-supporting surfaces with aesthetic and structural integrity presents challenges.
• Minimizing shear stress and bending moments is crucial for structural efficiency.

Purpose of the Study:

• To present a new method for constructing self-supporting surfaces using arch beams.
• To develop an algorithm for designing these surfaces with user-defined parameters.
• To enhance structural stability, durability, and aesthetic flexibility.

Main Methods:

• Utilizing arch beams designed to convert thrust into supporting force.
• Developing an iterative algorithm for surface and beam design.
• Employing finite element analysis for physical stability verification.

Main Results:

• Demonstrated elimination of shear stress and bending moments in arch beams.
• Successful partitioning of surfaces into multiple self-supporting parts.
• Generation of visually pleasing self-supporting surfaces with high equilibrium accuracy.

Conclusions:

• The arch beam method provides a stable, durable, and aesthetically versatile approach to constructing self-supporting surfaces.
• The iterative algorithm offers intuitive control over design parameters.
• The method satisfies structural equilibrium requirements with high precision.