The transverse behaviour of laterally unsupported parabolic arches

This paper gives the results of theoretical analyses dealing with the transverse behaviour of parabolic encastre tied arches under two loading conditions. Firstly, the arches are considered with a static uniformly distributed transverse load acting (thereby simulating wind loading) and generalized results are given for transverse deflexion and bending moments. Secondly, the general problem of transverse and axial loading is considered and values of deflexion and moment are given for one specific value of axial load. The increase of initial deflexion and bending moment due to axial thrust is discussed and suitable multiplying factors derived so that these quantities can be obtained for a wide range of axial thrust.


PHILIP T. A. DONALD and WILLIAM G. GODDEN