Elastic Beam Method Of Load Transverse Distribution

Currently, due to the construction of typical deep bridges with some high-section and small-span, the result of deflection will be small if ignore the effect of shear deformationo Therefore, the author considered the impact of shear deformation for multi-beam simply supported skew bridges, derived the deflection and twist angle formula of skew bridge under the concentrated vertical and torque loads, considered the shear deformation of vertical beams and the flexible characteristics or bending stiffness of transverse beams, considered the supporting of vertical beam for transverse beam as elastic constraints, considered the effect of torsion coupling in skew bridges, established elastic beam for transverse load distribution coefficient using transfer matrix method, compared with rigid beam and finite element methods, obtained the following conclusions.1. The smaller of span and higher of cross-section, the greater of shear deformation effection for hyperstatic simply supported skew beam, especially more obvious in the ends of skew vertical beam than midspan, but has nothing to do with the size of loads;2. In multi-beam bridges, the result of finite element and transfer matrix method for mid-transverse beam is basically the same;3. The result of linear regression for elastic transverse load distrubition line (curve) using transfer matrix method is fit with the result of rigid beam (straight line);4. When calculated the transverse load distribution coefficient with elastic and rigid beam methods, the effection of midspan vertical beam is obvious than side vertical beam, the difference of side and second vertical beam is small, indicated that the compact of elastic beam for midspan vertical beam is obvious, but the results of rigid beam method is small.