Abstract
This chapter describes some stability functions. The development of methods of analysis for extensive structures requires some convenient means of summarizing the properties of individual members when subjected to bending moments in the presence of axial loads. While this is difficult to achieve for members loaded beyond the elastic limit, it is relatively easy in the elastic range. The chapter describes certain stability functions as the basis for the analysis of stability in structures. The analysis of elastic structures in which axial loads have negligible effect is facilitated by the application of the principle of superposition. The chapter describes the effect of axial load on member stiffness. The introduction of an axial load modifies the stiffness and fixed-end moments to an extent that depends on the value of the axial load. The principle of superposition can still be applied to a sequence of operations, provided none of these operations alters the axial load in the member.
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