ON THE EXTENDED USE OF KLEINLOGEL'S RAHMENFORMELN

Abstract

This paper contains but a single idea. Its purpose is to show how, by the use of Kleinlogel's Rahmenformeln, the number of simultaneous linear equations that occur in the analysis of indeterminate structures can be reduced materially by using a primary structure, itself made up of indeterminate parts, provided the bending moment diagrams can be drawn for them. These are obtained from the Rahmenformeln. In order to recall to the reader's mind the well known moment-area method a brief summary of that process is included. A practical numerical example of the analysis of a frame indeterminate to the seventh degree is worked out in detail. Two arrangements of the indeterminate-components are chosen in the illustrative example. The final bending moment diagram is shown for a simple loading case and the influence line for the bending moment at one point is discussed briefly.