# Stiffness matrix for mass spring system

Please see attached file. How do i equate the mass spring system?

B2 The spring-mass system shown in Figure B2 is in tension, where the spring stiffnesses of the nth spring are denoted by kn , l is the separation of the supporting walls and m is the mass held between each spring

(a) Show, by equating the tension in each spring, that the stiffness matrix is given by [k] where:

Figure B2 A mass spring system

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/linear-transformation/stiffness-matrix-for-mass-spring-system-2hn#### Solution Preview

...ongation or compression of spring k2 .Then, applying Newton's second Law to m1 we have:

In the other extreme, mass m3 will experience force F6 due to spring k4 and F5 due to spring k3. So that:

F6 = k4x4 and F5 = k3 | s' | ; ...