# Finite Element Analysis of Restrained Torsion and New Algorithm of Flexural-torsional Moment for Thin-walled Box Girder

XIA Guiyun, LI Chuanxi, YANG Meiliang

#### Abstract

Using initial parameter solutions and transfer matrix method，the finite element formulation for restrained torsion of a thin-walled box girder was presented. The equivalent nodal forces of distributing torque and bimoment acted on an element were also derived. Based on the displacement solutions of the finite element method for restrained torsion, a new algorithm for calculating the flexural-torsional moment was developed. The relevant stiffness matrix and fixed-end forces for distributing torque and bimoment acted on the element were established. It facilitated the calculation of normal stress and shear stress. The examples show that the calculation results of the proposed method agree well with the theoretical solutions, which proves that the stiffnesses for restrained torsion, equivalent nodal forces for distributing torque and bimoment acted on element as well as new algorithm for flexural-torsional moment are exact.

Keywords: thin walled structures,  restrained torsion,  finite element analysis,  bimoment,  rate of twist,  new algorithm

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