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(Solved): Development of Two-Dimensional Elements Plane Stres(s)/(S)train Rectangular Element with 4-Nodes EXA ...



Development of Two-Dimensional Elements Plane Stres(s)/(S)train Rectangular Element with 4-Nodes EXAMPLE 6.5 Evaluate the stiffness matrix and load vectors for the plane stress rectangular element shown in Figure a. Perform the same if the element is divided into two triangular elements. Assume t=1.0m,E=210GPa,v=0.3,p=100Pa, and \rho =0.5k(g)/(m^(3)). Find the stresses in load cases 1 and 2 below, compare and comment on the results: Case 1: Fix node 1&4 to create bending load Case 2: Fix node 1 & 2 to create compression load. APPROACH AND ASSUMPTIONS Use the final derived equations for N B and D matrices. For the consistent load vector, we express the distributed load as components in x and y directions and perform the integration in Eqn. 6.50.


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