PARAMETRIC STRUCTURAL ANALYSIS OF A HYPERBOLIC PARABOLOID BAMBOO GRID SHELL ROOF

Abstract

This thesis adopts a parametric finite element analysis (FEA) tool to analyze a grid shell roof made of bamboo poles, consisted of four hyperbolic paraboloids (hypars) and bounded by straight-line edges. First a static model is analyzed in order to verify the load bearing capacity of the current hypar roof design. An analytical calculation is conducted to understand the flow of forces in this roof. Then the most important parameters for the design of this grid shell roof are identified and investigated through a parametric model. These parameters range from material properties, geometric variations, and placement of the supports. Specifically, the following parameters are analyzed: bamboo species, reinforcement of edge and ridge beams, curvature, height of overhang, grid density, and support configuration. Ultimately, based on the results from static and parametric structural analysis, this thesis concludes with practical feedback and suggestions for the architects and builders to consider for the final design of this roof. The most practical results include a new proposal for placement of supports, and suggestions on reinforcement schemes of ridge and edge beams. In addition, this thesis provides a case study that demonstrates advantages of employing parametric modeling tools in structural engineering, to work with complex geometries, and to integrate structural analysis and design. Furthermore, this thesis demonstrates how strong, sustainable, and cost effective bamboo poles can be utilized in a structurally efficient manner to cover long span spatial roofs.