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The IUP Journal of Structural Engineering :
The Effect of Web Taper Ratio on the Free Vibration Behavior of Steel Cantilever Channel Beams
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Free vibration is an important field of study. Steel cantilever prismatic beams with channel cross-section can be replaced with cantilever tapered beams of channel cross-sections for economy. The taper ratio may affect the behavior of the beam. In this paper, the effect of taper ratio on free vibration of steel cantilever channel beams is studied by finite element modeling and analysis with the help of ANSYS—a commercial software. SHELL 63 element is used for carrying out the analysis. Linear-elastic behavior of the material is considered. For validation of analysis, cases solved by previous researcher (I-beams) are reanalyzed. The natural frequency, displacement vector sum and rotation vector sum values corresponding to first six modes are presented for web taper ratios 0.5, 0.625, 0.75 and 0.875.

 
 

Steel beams with channel cross-section are often encountered in steel structures. Optimized prismatic cross-section for a member can be obtained with the help of computer programming or software applications. The optimized section is economical. For further increase in economy, the member’s cross-section may be tapered along its length such that the applied loads can be resisted, and are called tapered members. The taper sections can be designed with present American, British and Australian codes. A large amount of research data is available on flexural, torsional, buckling and dynamic behavior of tapered beams and advanced research is still continuing. A brief review of literature is presented below.

A method combining finite element approach and Rayleigh-Ritz method for analyzing transverse vibrations of nonuniform elastic beams was developed by Klein (1974). A cantilevered helicopter blade was analyzed. Guidelines for efficient use were also presented. Considering linearly tapered beams, transverse vibration analysis was performed by Goel (1976) with ends elastically restrained against rotation for various stiffness ratios.

 
 

Web taper ratio, Free vibration, Finite element analysis, Steel channel beams.