The element shown below is a bar element (subject to only axial deformation) that contains three nodes, also known as a higher-order element. (Note: This is NOT two elements!) L/2 L/2 Length L AE Constant U2 Assuming the following function for the displaced shape of the element: u(x) = co + c1x + c2x2 %3D Determine the three unknown constants co, C1, and c2 using the following boundary conditions: u(0) = u1 u(L/2) = u2 u(L) = u3 • Determine the [ N] and [B] matrices for the element. Derive the stiffness matrix [K] for the element.
The element shown below is a bar element (subject to only axial deformation) that contains three nodes, also known as a higher-order element. (Note: This is NOT two elements!) L/2 L/2 Length L AE Constant U2 Assuming the following function for the displaced shape of the element: u(x) = co + c1x + c2x2 %3D Determine the three unknown constants co, C1, and c2 using the following boundary conditions: u(0) = u1 u(L/2) = u2 u(L) = u3 • Determine the [ N] and [B] matrices for the element. Derive the stiffness matrix [K] for the element.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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