Examine the influence of rectangular trapezoidal and

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Unformatted text preview: 5 .993 11 .994 3 In-Plane Shear .980 24 .680 51 .991 4 .669 53 .954 33 .972 21 Out-Of-Plane Shear .608 65 .953 35 .955 26 Twist .866 34 .910 25 .903 8 Parallelogram (θ = 45°) Extension .998 6 .999 3 1.000 4 .994 4 .992 11 .994 3 In-Plane Shear .970 29 .632 55 .997 8 .624 57 .940 38 .968 27 Out-Of-Plane Shear .528 74 .935 40 .942 32 Twist .820 51 .909 26 .903 8 Assumptions, Modeling Notes, and Solution Comments 1. The straight cantilever beam is a frequently used test problem applicable to beam, plate, and solid elements. The problem tests elements under constant and linearly varying strain conditions. Although the problem appears rather simplistic in nature, it is a severe test for linear elements, especially when distorted element geometries are present. 2. The fixed boundary conditions at the left edge of the beam are not representative of a "patch test." Thus, under extensional loading, the finite element solution will not agree with the beam theory solution. 3. Element solution accuracy degrades as elements are distorted. The degradation is more pronounced for linear elements...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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