A New Vector Form Intrinsic Finite Element for Short-Deep Beam Analysis
When the Euler-Bernoulli beam theory is applied to the short-deep beam (large ratio of span to depth of the beam), the mechanical behavior of the beam can not be truly revealed. The most important influence is the transverse shear since a short-deep beam is more like a wide-panel rather than a beam, which is not taken into accounts in the Euler-Bernoulli theory. Timoshenko therefore, proposed a modification by adding the shear deformation term to the classical Euler-Bernoullis beam theory. This study by utilizing the vector form intrinsic finite element method (VFIFE) to derive a new element for the Timoshenko beam provides an alternative method for the analysis of a short-deep beam, particularly, subject to dynamic loadings. In the numerical analysis, the span/depth effect on the deflection is further studied and compared for both Euler-Bernoulli and Timoshenko theories. It is found that a value of ten in the ratio of span/depth is appropriate for the utilization of Euler-Bernoulli beam theory in general engineering application.
Euler-Bernoulli beam, Timoshenko beam theory, vector form intrinsic finite element, short-deep beam
H. H. Lee Y.-H. Lee
Department of Marine Environment and Engineering, National Sun Yat-sen University, Kaohsiung, 80424 Taiwan
国际会议
南京
英文
123-130
2009-10-12（万方平台首次上网日期，不代表论文的发表时间）