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4.(15 points)Develop the shape functions Ns and N for the 5-node transition rectangular element shown below.(Node 5 is located at midpoint of side 1-2.you can use the shape function formula in Problem 3) 3 (1.1) Solution: £-7=0 (1.1) N5=B*(5-7)(5+7) N,(0,-1)=B0-(-1)0+(-1)=-B=1 B=-1 N=0-50+=2-5,x@-0=月 N,=40-500-0)-2N,4. (15 points) Develop the shape functions N5 and N1 for the 5-node transition rectangular element shown below. (Node 5 is located at midpoint of side 1-2. you can use the shape function formula in Problem 3) Solution: N5=  *( )( ) 1 5 1 2 2 5 5 2 1 (1 )(1 ) 4 1 2 1 ( )( ) , (0, 1) 1 (0, 1) (0 ( 1))(0 ( 1)) 1 N N N N N                                  5
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