5. A functionally-graded axial bar is shown in Figure 3. The elastic modulus is given as E = E, (1+(x / L)?) and the cro
Posted: Mon May 09, 2022 9:29 am
5. A functionally-graded axial bar is shown in Figure 3. The elastic modulus is given as E = E, (1+(x / L)?) and the cross-section has constant area, A. Use two-point Gauss- quadrature. Remember that the element has three nodes which are equally spaced. (26 points) 1) Find the elemental stiffness matrix for this element which has three nodes meaning that the shape functions are quadratic. ii) Find the nodal forces. 3 T.*x/L 3 X Figure 3: A functionally-graded axial bar