Fixed‐End Moments and Thrusts of Planar Curved Beams
Publication: Journal of Structural Engineering
Volume 118, Issue 1
Abstract
Formulas of fixed-end moments and thrusts for a curved member of constant section subjected to a uniformly distributed in-plane load are presented. Expressions are 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 works of Parcel and Moorman, and Leontovich. Given a curved beam with the known beam-height-to-span ratio and loading, the fixed-end moments and thrusts can be obtained from the derived expressions. Finally, with some modifications, the present investigation can be applied to curved beams of variable moment of inertia.
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References
1.
Leontovich, L. (1959). Frames and arches. McGraw‐Hill Book Co., New York, N.Y.
2.
Martin, H. C. (1966). Introduction to matrix methods of structural analysis. McGraw‐Hill Book Co., New York, N.Y.
3.
Parcel, J. J., and Moorman, R. B. B. (1955). Analysis of statically indeterminate structures. John Wiley and Sons, Inc., New York, N.Y.
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Wang, T. M., and Merrill, T. F. (1988). “Stiffness coefficients of noncircular curved beams.” J. Struct. Engrg., ASCE, 114(7), 1689–1699.
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Copyright © 1992 ASCE.
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Published online: Jan 1, 1992
Published in print: Jan 1992
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