Consider the simple truss structure shown below. a) Knowing that each node has two degrees of freedom (x- and y-displacements), sketch the global stiffness matrix [K] with an X for non-zero values and a 0 when the component of the matrix is absent (note: you just need to fill in the upper half of the matrix, since we know that [K] is symmetric). Then indicate what the half bandwidth of [K] is. b) Propose another node numbering that will lead to a smaller half bandwidth. For that numbering, sketch the content of [K] and 3 indicate the value of the half bandwidth 6 4 Consider the simple truss structure shown below. a) Knowing that each node has two degrees of freedom (x- and y-displacements), sketch the global stiffness matrix [K] with an X for non-zero values and a 0 when the component of the matrix is absent (note: you just need to fill in the upper half of the matrix, since we know that [K] is symmetric). Then indicate what the half bandwidth of [K] is. b) Propose another node numbering that will lead to a smaller half bandwidth. For that numbering, sketch the content of [K] and 3 indicate the value of the half bandwidth 6 4