Abstract

The analysis of beams, columns, and beam-columns whose flexural rigidities and/or lateral loadings are arbitrary functions of position can be solved with the aid of a simple electrical network analyzer. In the case of the column, the lowest critical load can be determined with considerable accuracy. The electrical network is of ladder configuration, with displacement represented by node-pair voltages and moments by currents. The column problem requires the use of a number of negative resistors, which are simulated by subnetworks of positive resistors and adjustable voltage sources. Problems are discussed which illustrate the application of the analyzer. In the case of a column with a single abrupt transition in rigidity, the value of the critical load is determined to within 0.5 per cent of the analytically calculated value.

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