Problem 03 (15 points): Structure shown below is to be analyzed using a finite element model of TWO 2-node truss elements. The cross-section area varies QUADRATICALLY along the length as A(x) = a + b(x/L).a and b are non- zero constants. Area=quadratic P x = 0 X x=L L Two strategies for analysis are possible: Option 1) using TWO 2-node truss elements with PRISMATIC Option 2) using TWO 2-node truss elements where a cross-sections. The average of the cross-sectional areas at LINEAR variation of cross-sectional area has been the ends of the elements would be used as the areas of the included in the derivation of the element stiffness elements. matrices. Area=constant Area=constant Area=linear Area=linear ->P BP than solo x = 0 x=0 Elem. 1 x=L Elem.2 Elem. 1 Elem.2 x=L L/2 L/2 L/2 L/2 Compare and discuss accuracy of performing analysis per Case 1 versus that of performing analysis per Case 2. Justify your reasoning. X Problem 03 (15 points): Structure shown below is to be analyzed using a finite element model of TWO 2-node truss elements. The cross-section area varies QUADRATICALLY along the length as A(x) = a + b(x/L).a and b are non- zero constants. Area=quadratic P x = 0 X x=L L Two strategies for analysis are possible: Option 1) using TWO 2-node truss elements with PRISMATIC Option 2) using TWO 2-node truss elements where a cross-sections. The average of the cross-sectional areas at LINEAR variation of cross-sectional area has been the ends of the elements would be used as the areas of the included in the derivation of the element stiffness elements. matrices. Area=constant Area=constant Area=linear Area=linear ->P BP than solo x = 0 x=0 Elem. 1 x=L Elem.2 Elem. 1 Elem.2 x=L L/2 L/2 L/2 L/2 Compare and discuss accuracy of performing analysis per Case 1 versus that of performing analysis per Case 2. Justify your reasoning. X