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Based on the fundamental equations of curved beam, its deflection control equation considering vertical bending-torsion coupling was developed, and the analytical solutions of torsion angle and vertical deflection expressed by primary function vector and integration constant were derived. Then the displacement coefficient was obtained according to displacement boundary condition, and the stiffness equilibrium equation in matrix was established in line with equations of internal forces. After matrix transformation, stiffness matrix and equivalent nodal force vector for the bending-torsion coupling analysis of curved beam were achieved.

Matrix Displacement Method for Behavior Analysis of Curved Beam Considering Bending-torsion Coupling