Stiffness Coefficients of Noncircular Curved Beams
Publication: Journal of Structural Engineering
Volume 114, Issue 7
Abstract
The stiffness coefficient matrix for a curved member of constant cross section considering the effect of flexural deformation is presented. This matrix relates the member-end rotations, vertical deflections, and horizontal translations to the internal bending moments, vertical shears, and horizontal thrusts. Expressions of the stiffness coefficients have been derived for noncircular curved beams of cycloidal, catenary, elliptic, and sine shapes. For curved beams of circular and parabolic shapes, expressions can be found from the writers' previous work. For a given curbed beam with the beam-height-to-span ratio known, the stiffness coefficients can be obtained from the derived expressions. Finally, with some modifications, this matrix can be applied to curved beams of variable moment of inertia.
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References
1.
Akhtar, M. N. (1987). “Element stiffness of circular member.” J. Struct. Engrg., ASCE, 113(4), 867–872.
2.
Martin, H. C. (1966). Introduction to matrix methods of structural analysis. McGraw‐Hill Book Co., New York, N.Y.
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Parcel, J. I., and Moorman, R. B. B. (1955). Analysis of statically indeterminate structures. John Wiley & Sons, Inc., New York, N.Y.
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Wang, T. M., and Church, D. C. (1967). “Analysis of continuous arch frames.” J. Struct. Div., ASCE, 93(5), 419–433.
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Published In
Journal of Structural Engineering
Volume 114 • Issue 7 • July 1988
Pages: 1689 - 1699
Copyright
Copyright © 1988 ASCE.
History
Published online: Jul 1, 1988
Published in print: Jul 1988
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