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Example 5.7 (Linear Discontinuous Elements) Input Number of Boundary Elements = 16 Number of InteriorPoints = 5 Coordinates of the Extreme Points of the Boundary Elements Point X Y 1 0.0010 0.0000 2 2.0000 0.0000 3 4.0000 0.0000 4 5.9990 0.0000 5 6.0000 0.0010 6 6.0000 2.0000 7 6.0000 4.0000 8 6.0000 5.9990 9 5.9990 6.000010 4.0000 6.000011 2.0000 6.000012 0.0010 6.000013 0.0000 0.599014 0.0000 4.000015 0.0000 2.000016 0.0000 0.0010 Boundary Conditions First Node Second Node Prescribed PrescribedElement CODE Value CODE Value 1 0 0.0000 0 0.0000 2 0 0.0000 0 0.0000 3 0 0.0000 0 0.0000 4 0 0.0000 1 46.1900 5 1 46.1900 1 46.1900 6 1 46.1900 1 46.1900 7 1 46.1900 1 46.1900 8 1 46.1900 0 4.2000 9 0 4.2000 0 84.000010 0 84.0000 0 168.000011 0 168.0000 0 247.800012 0 247.8000 1 -46.190013 1 -46.1900 1 -46.190014 1 -46.1900 1 -46.190015 1 -46.1900 1 -46.190016 1 -46.1900 0 0.0000Interior Point Coordinates Xi Yi 2.0000 2.0000 2.0000 4.0000 3.0000 3.0000 4.0000 2.0000 4.0000 4.0000 Solution: Boundary Nodes (X,Y) u Prenodal q Postnodal q( 0.0010, 0.0000) 0.0000 156.5302 156.5302( 2.0000, 0.0000) 0.0000 -16.8707 -16.8707( 4.0000, 0.0000) 0.0000 -17.7104 -17.7104( 5.9990, 0.0000) 0.0000 -103.2299 -103.2299( 6.0000, 0.0010) 6.1784 46.1900 46.1900( 6.0000, 2.0000) 114.0960 46.1900 46.1900( 6.0000, 4.0000) 131.4527 46.1900 46.1900( 6.0000, 5.9990) 12.4991 46.1900 46.1900( 5.9990, 6.0000) 4.2000 -151.6348 -151.6348( 4.0000, 6.0000) 84.0000 11.2953 11.2953( 2.0000, 6.0000) 168.0000 44.0098 44.0098( 0.0010, 6.0000) 247.8000 71.9776 71.9776( 0.0000, 0.5990) -89.3071 -46.1900 -46.1900( 0.0000, 4.0000) 52.9450 -46.1900 -46.1900( 0.0000, 2.0000) -116.3532 -46.1900 -46.1900( 0.0000, 0.0010) -8.5014 -46.1900 -46.1900Interior Points (Xi,Yi) u q_x q_y( 2.0000, 2.0000) 16.6571 25.3384 20.5395( 2.0000, 4.0000) 84.4682 -1.0487 41.9869( 3.0000, 3.0000) 59.1773 12.0620 23.8646( 4.0000, 2.0000) 52.5295 17.4905 22.7641( 4.0000, 4.0000) 83.9397 4.0897 7.2784
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