Beam must be straight (linear) – equations do not allow for curved beams like hopper rings in silos made of corrugated sheets.Beam must have a constant cross-section on its length – so no “optimized” beams with thinner flanges near end hinged supports.Beam must be symmetric in at least 2 planes – this is a huge drawback, forget L-sections, C-sections (even threw old code in my country stated that for C-sections you can calculate slenderness as for I-section and then reduce it by 25%), and many others including custom welded cross-sections.Required conditions for calculation critical bending moment according to the equation: Note that most available equations follow the same set of rules that need to be followed in order to use the equation. If you are interested in hand calculations of the critical moment I believe this is a nice guide. There are many equations for the critical moment which vary slightly in terms of parameters (some are more complicated/accurate than others). Today I will show you how to calculate critical moments in any situation you may encounter in your engineering work Critical bending moment equation and required conditions Those equations, however, require a lot of conditions to be met in order to work, and if at least one is not fulfilled… problems start. In “typical” cases everything is ok since code equations allow engineers to obtain the value of the critical moment. In civil engineering codes, the critical bending moment is crucial in the proper design of bent beams susceptible to LTB, as it allows for slenderness calculation. Lateral torsion buckling (LTB) is a very dangerous phenomenon, that can easily cause the collapse of a poorly designed beam.
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