Using Galerkin's method, derive the stiffness matrix for the following beam element, which has an additional node in the center (higher-order element). Let the displacements be v(x) = a1 x^5 a2 x^4 a3 x^3 a4 x^2 a5 x a6 (two degrees of freedom per node).
Using Galerkin's method, derive the stiffness matrix for the following b…
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(a) Determine the element stiffness matrix of a two-node uniform bar element of length L by two-point Gauss quadrature. The result should agree with Eq. 2.2-1. (b) Repeat part (a), but let the cross-sectional area vary linearly from A1 at node 1 . to A2 at node 2 . (c) Repeat part (b), but use one-point Gauss quadrature. | Numerade
(a) Determine the element stiffness matrix of a two-node uniform bar e…
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