Solved: Problem 2a (10 points) The figure below shows a finite-element mesh. I

Question

Problem 2a (10 points) The figure below shows a finite-element mesh. In the figure, all numbers within circles denote element numbers and all numbers without circles around them denote global node numbers. Assume that each node has two degrees of freedom. Elements 1 and 5 are plane elements, while the remaining elements are truss elements. determine the size of each element matrix and global assembly matrix determine the half bandwidth of the assembly matrix rearrange the node numbers to minimize half bandwidth determine the new half bandwidth Problem 2b (10 points) The figure below shows a truss structure with two degrees of freedom per node a) Determine the assembly stiffness matrix size b) Show which of the cells in the stiffness matrix will be zero and which will be non-zero (show entire matrix) c) Determine the half bandwidth of the matrix d) Rearrange the node numbers so that the half bandwidth is minimum. Determine the the half bandwidth