Abstract
Abstract This article presents a research and design method for the global stability of the mono-overhang steel beam, which is very different from other kinds of beams. First, the total potential energy equation of the mono-overhanging beam is deduced by energy method. Then, the critical bending moment formula of the global stability is deduced based on its boundary conditions. Second, by introducing the equivalent calculated length coefficient, the critical bending moment equation is transformed into the form that is the same as that of a simply supported beam subjected to the uniform moment. This transformation can make stable design more convenient. At last, the impact factors of the calculated length coefficient of the global stability are determined. Furthermore, the formulas of the equivalent calculated length coefficients are proposed, which reflect the comprehensive interrelation between the equivalent calculated length coefficient and its impact factors. These formulas are continuous functions so that the calculation results are more precise and practical than before because in the previous method, the calculated length coefficient is taken as a piecewise constant value, which has led to a large error in the past.
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