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Three-dimensional stiffness coefficient matrix for constant cross section curved beams is derived; matrix relates beam end point rotations and translations to internal moments, torques, shears, and axial forces; stiffness matrix is transformed into three-dimensional spatial coordinate system by means of coordinate transformation matrix; transformation matrix is derived by rotating orthogonal coordinate axis through three consecutive rotations; example problem, simulating spherical dome is worked to demonstrate application of curved beam stiffness matrix coefficients.
Three-dimensional stiffness coefficient matrix for constant cross section curved beams is derived; matrix relates beam end point rotations and translations to internal moments, torques, shears, and axial forces; stiffness matrix is transformed into three-dimensional spatial coordinate system by means of coordinate transformation matrix; transformation matrix is derived by rotating orthogonal coordinate axis through three consecutive rotations; example problem, simulating spherical dome is worked to demonstrate application of curved beam stiffness matrix coefficients.
Curved beam stiffness coefficients
ASCE -- Proc (J Structural Div)
Morris, D.L. (author)
1968
10 pages
Article (Journal)
English
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