Existing studies have shown that the load-carrying capacity of castellated beams can be influenced by the shear stresses particularly those around web openings and under the Tsection, which could cause the beam to have different failure modes. This paper investigates the effect of web openings on the transverse deflection of castellated beams by using both analytical and numerical methods and evaluates the shear-induced transverse deflection of castellated beams of different lengths and flange widths subjected to uniformly distributed transverse load. The purpose of developing analytical solutions, which adopted the classical principle of minimum potential energy is for the design and practical use; while the numerical solutions are developed by using the commercial software ANSYS for the validation of the analytical solutions.
In this study, an analytical solution is developed for the investigation of free vibration, static buckling and dynamic instability of castellated beams subjected to transverse periodic loading. Bolotin’s method is used to perform the dynamic instability analysis. By assuming the instability modes, the mass, stiffness, and geometric stiffness matrices are derived using the kinetic energy, strain energy and potential of applied loads. Analytical equations for determining the free vibration frequency, critical buckling moment, and excitation frequency of castellated beams are derived. In addition, the influences of the flange width of the castellated beam and the static part of the applied load on the variation of dynamic instability zones are discussed.
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