An Analysis of Multiple-Skew Arches on Elastic Piers

The purpose of this paper is to extend the analysis of the ring of a skew arch that was given in a previous paper to include skew arches of more than one span and, by placing the skew equal to zero, to show how this method may be applied to the multiple right arch on elastic piers. In this latter case, the effect of eccentric loads is brought out by the formulas. With the idea of being consistent with the method of analysis used in the first paper, the simple method of deflections was retained instead of using one of the more elegant methods, such as virtual work, or a procedure of a similar nature. In order that this paper may be more complete in itself an outline of the method of analysis of the single-span skew arch will be reviewed briefly. For the derivation of the formula for the deflection of a skewed cantilever under the various loads used, reference should be made to the previous paper.