03299nam a2200433 4500 20260817172707.0 060898 th eng .b1013878x AIT Thesis no. ST-80-04 Dayawansa, Peduru Hewa Choice of shape functions for exact finite-element solution to beam and plate problems Bangkok : Asian Institute of Technology, 1980 iv, 45 p. Thesis ; no. ST-80-04 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology Thesis (M.Eng.) - Asian Institute of Technology, 1980 The conventional guide lines for selecting shape functions of a finite element generally lead to approximate finite element solutions. An investigation is conducted on conditions. of shape Junctions, by which an exact finite element solution may be possible. Tong has earlier proved for one-dimensional problems with single dependent variable that shape functions must satisfy homogeneous Euler's equation to give exact solution. The concept is generalized in this study to one-dimensional problems with many dependent variables. It is then applied to a class of thick beam problems. Numerical results of several thick and thin beam examples show undisputedly a good agreement with the theory -. --- exact solution is obtained even with a single element model. The concept is further extended to two-dimensional plate problems. Unlike the case of one dimensional beam, several difficulties are encountered. The most important one is the over-rigid requirement imposed on the number of element degrees-of-freedom. As a result, these degrees-of freedom cannot be accommodated by either a quadrilateral or a triangular element. An attempt is therefore made to relax this requirement. Two plate elements are developed on this basis and the results seem to be satisfactory. Girders Mathematical models Finite element method Elastic plates and shells Worsak Kanok-Nukulchai, Chairperson Karasudhi, Pisidhi, Examination Committee Kawaguchi, Masahiro, Examination Committee Government of Canada, Scholarship Donor Asian Institute of Technology. Thesis ; no. ST-80-04 Full-Text http://203.159.5.9/ait-thesis/detail.php?q=B22118 .b1013878x mnait s 250516 4 951012 m a s 0 mnait mnait mnarc 20 40 Barcode : 30050003079232 CREATED : 1995-10-13 RECORD # : i10158017 LPATRON : 1018563 LCHKIN : 2008-03-17 # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 2 TOT RENEW : 0 Barcode : 30050003079224 CREATED : 1995-10-13 RECORD # : i10158029 LPATRON : 1013002 LCHKIN : 2001-12-07 # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 2 TOT RENEW : 0 Barcode : 30050160013966 CREATED : 2016-04-04 RECORD # : i12921646 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 17125 17125 0 0 0 0 MAIN MAIN mnait 2026-08-17 0 AIT Thesis no. ST-80-04 30050003079232 2026-08-17 17:27:07 1 2026-08-17 20 0 0 0 0 MAIN MAIN mnait 2026-08-17 0 AIT Thesis no. ST-80-04 30050003079224 2026-08-17 17:27:07 2 2026-08-17 20 0 0 0 0 MAIN MAIN mnarc 2026-08-17 0 AIT Thesis no. ST-80-04 30050160013966 2026-08-17 17:27:07 1 2026-08-17 40