Research Article
May 1968

Curved Beam Stiffness Coefficients

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Publication: Journal of the Structural Division
Volume 94, Issue 5

Abstract

A three-dimensional stiffness coefficient matrix for constant cross section curved beams is derived. This matrix relates the beam end point rotations and translations to the internal moments, torques, shears, and axial forces. The stiffness matrix is transformed into a three-dimensional spatial coordinate system by means of a coordinate transformation matrix. The transformation matrix is derived by rotating the orthogonal coordinate axis through three consecutive rotations. Finally an example problem, simulating a spherical dome is worked to demonstrate the application of the curved beam stiffness matrix coefficients.

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Journal of the Structural Division
Volume 94Issue 5May 1968
Pages: 1165 - 1174

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Published in print: May 1968
Published online: Feb 1, 2021

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Dale L. Morris
Senior Structures Engr., North American Rockwell Corporation, Tulsa, Div., Tulsa, Okla.

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