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M R. K. E. ROWE referred to the Authors’ statement in their introduction that the application of the methods due to Guyon and Massonnet to bridges of longitudinal beams of different section “would undoubtedly bc, very difficult.” This was not the case, for Massonnet1 had shown that if stiffer edge beams are introduced into a bridge grillage, the edge beams having negligible torsional rigidity, then the introduction of shear forces depending on the difference in flexural stiffness between the edge and internal beams yields two simple simultaneous equations for deflexion compatibility from which the deflexion and moment profiles can be obtained. This method had been extended to cover the effect of torsion. Some complexity did arise in this case but with the calculation and presentation in graphical form of the various influence coefficients tlle work could be reduced considerably and should be suitable for design purposes.
DR. W. W. L. CHAN, (Associate-Member) referred to the section given in the paper on Hinge Rotation. Whilst the Author first recognised that Hinge Rotation occurred over a finite length, and was governed by the depth of neutral axis, he then quoted permissible rotations of 0.001 radians and 0.01 radians for unbound and bound sections respectively as being Professor A.I.I,. Haker’s suggested values and used these figures in the worked example of the built-in beam.
THIS paper introduces two new methods of structural analysis for the single-storey, multi-bay frame. The first, the generalized slope-deflection method, is developed from a consideration of the flexural properties of the curved (or bent) structural member. It is, however, restricted in its application here to those “linear” structures in which the connecting eaves joints are only able to rotate and displace horizontally.
The second, the generalized moment distribution method, is developed from this first method, and is restricted to the same type of structure. It is based upon the physical conception of allowing the various eaves joints, in turn, both to rotate and displace
horizontally together, so that the out-of-balance moments and thrusts are successively eliminated at these joints.