Abstract
Abstract Under the usual assumption that the square of the slope of the beam may be neglected compared to unity, the authors show that if the bending moment M is used as ordinate and a quantity proportional to dM/dx as abscissa, then the curve representing an axially compressed uniform beam carrying a uniformly distributed transverse load is a circular arc or a sequence of circular arcs. This result leads to a graphical method for evaluating bending moment. The procedure is illustrated by examples which include external torques, concentrated transverse loads, built-in ends, stepwise variation of distributed load, stepwise variation of flexural rigidity, and a protruding end. The diagrams, named “camptograms,” are simpler to draw and to interpret than the polar diagrams currently used for the same purpose. The construction of camptograms representing the slope and the deflection of the beam is outlined.
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