1. In the following spring assembly, k= kaks =10 N/mm and k-k3-5 N/mm. The force (F3) is 50N. (a) By hand, find the global stiffness matrix. (b) Find the nodal displacements (c) Find the reaction forces at nodes 1,2 and 5 (d) Find the force in each spring 2 KA wwwwww F3 K3 2. From the practical side, we formulate our matrices "by hand" in problem 1. In actual engineering practice, in particular for larger systems, there are automated procedures by which to construct a system matrix from constituent component matrices. Write a matlab code that can assemble the set of five matrices for the springs in problem 1 using a 'for' loop. Use an element-node connectivity data structure to specify the problem. (do not hardcode, make the code flexible enough to solve other spring assembly problems, when a different connectivity matrix/spring constants is supplied).