Static deflection calculation for axially FG cantilever beam under uniformly distributed and transverse tip loads

Abstract

The axially FG materials were used extensively in aerospace, automotive and defense industries because of the ability of design its properties. In this work, the static deflection of axially FG cantilever beam was computed using Rayleigh and Finite Element methods considering Beam Theory of Euler-Bernoulli. The material properties along the axial direction of axially FG beam were simulated using Power-Law Model. In Rayleigh method, the equivalent stiffness of two kinds of cantilever FG beams (Clamped – Free and Free –Clamped) were calculated for different power law index and then used to calculate the static deflection. The Finite Element model was built by ANSYS APDL version 17.2 using BEAM189 element. The effects of number of segment, power law index and type of applied load on the dimensionless deflection were studied. A very good accord between Rayleigh and ANSYS results was obtained for different load types, supporting types and power law index.

Keywords

• Axially functionally graded material
• Power law index
• Uniformly distribution load
• Transverse tip load