1) Use of triangular, four-node and eight-node quadrilateral elements, full and reduced integration - Use of symmetry For the beam below: a. Construct the models indicated and compare the results (maximum displacement and stress) to Euler-Bernoulli beam theory. b. Discuss the influence of the type of element, mesh refinement and the use of reduced integration elements in the precision of the result. c. Conclude by indicating which would be your model option and why. (30 points) 55 N/mm 13 4000 mm 150 E20 GPS transverse section Note Models: Number of # Element Layers (rows of elements) 1 Linear triangular one 2 Linear triangular two 3 Linear triangular three 4 4-node quadrilateral one 5 4-node quadrilateral two 6 4-node quadrilateral three 7 4-node quadrilateral three 8 8-node quadrilateral one 9 8-node quadrilateral three 10 8-node quadrilateral three Full-integration Full-integration Full-integration Reduced-integration Full-integration Full-integration Full-integration, model only half of beam imposing symmetry boundary conditions 2) Change the beam's length of question 1 to 400 mm and re-run the model. Compare the results (maximum displacement and stress) to Euler-Bernoulli beam theory and comment on your results. [20 points) 1) Use of triangular, four-node and eight-node quadrilateral elements, full and reduced integration - Use of symmetry For the beam below: a. Construct the models indicated and compare the results (maximum displacement and stress) to Euler-Bernoulli beam theory. b. Discuss the influence of the type of element, mesh refinement and the use of reduced integration elements in the precision of the result. c. Conclude by indicating which would be your model option and why. (30 points) 55 N/mm 13 4000 mm 150 E20 GPS transverse section Note Models: Number of # Element Layers (rows of elements) 1 Linear triangular one 2 Linear triangular two 3 Linear triangular three 4 4-node quadrilateral one 5 4-node quadrilateral two 6 4-node quadrilateral three 7 4-node quadrilateral three 8 8-node quadrilateral one 9 8-node quadrilateral three 10 8-node quadrilateral three Full-integration Full-integration Full-integration Reduced-integration Full-integration Full-integration Full-integration, model only half of beam imposing symmetry boundary conditions 2) Change the beam's length of question 1 to 400 mm and re-run the model. Compare the results (maximum displacement and stress) to Euler-Bernoulli beam theory and comment on your results. [20 points)