The resilience of a network is the expected number of pairs of nodes that can communicate. Computing the resilience of a network is a #P-complete problem even for planar networks with fail-safe nodes. We generalize an O(n²) time algorithm to compute the resilience of n-node k-tree networks with fail-safe nodes to obtain an O(n) time algorithm that computes the resilience of n-node partial k-tree networks with edge and node failures (given a fixed k and an embedding of the partial k-tree in a k-tree).