ORCID Identifier(s)


Graduation Semester and Year




Document Type


Degree Name

Master of Science in Mechanical Engineering


Mechanical and Aerospace Engineering

First Advisor

Stefan Dragos Dancila

Second Advisor

Seiichi Nomura


In archery, dynamic buckling compromises the target accuracy of arrows. For both dynamic and quasi-static buckling, the buckling load depends on the cross-sectional area moment of inertia, which can be increased by modifying the cross-sectional shape of the arrow shaft. Arrows commercially available today are made up of composite materials and have a tubular circular cross-section. In this study an effort has been made to optimize the cross-sectional shape of the composite arrow shaft, using finite element based, quasi-static buckling analysis keeping the length and area of the cross-section constant. The composite column is pinned at both ends and is assumed to be made up of ten plies with fibers oriented along the length of the column. Four cross-sectional shapes: tubular circular, tubular equilateral triangular, star shaped and star with beads are analyzed in this study. The composite column is modeled in ABAQUS, and the buckling load is determined by using the "Linear Perturbation, Buckle" analysis step. The transition from global to local buckling characterized by a decrease in buckling load and change in the buckled shape of the column is determined for each cross-sectional shape. The point of transition marks the maximum load that can be sustained for that cross-sectional shape. The maximum load for all the cross-sections is determined and compared. The tubular circular cross-section composite column is found to provide the highest buckling load followed by the star with beads cross-section, star shaped cross-section and tubular equilateral triangular cross-section composite column in the respective order. Thus of the shapes considered, the tubular circular cross-section is the optimum shape for the cross-section of the arrow shaft.


Finite element method, Cross-sectional optimization, Constant area, Arrow shaft, Composite materials, Tubular, Tubular circular, Tubular equilateral triangular, Star shaped, Global buckling, Local buckling, Maximum Load, Composite column, Archery


Aerospace Engineering | Engineering | Mechanical Engineering


Degree granted by The University of Texas at Arlington