The spring-mass system shown in the figure is in equilibrium under the applied loads. The element connectivity table shows node numbers associated with each element and the stiffness of each element.

a. Write the structural matrix equations \(\left[\mathbf{K}_{s}ight]\left\{\mathbf{Q}_{s}ight\}=\left\{\mathbf{F}_{s}ight\}\) by assembling the structural stiffness matrix \(\left[\mathbf{K}_{s}ight]\) and the force vector \(\left\{\mathbf{F}_{s}ight\}\). Use \(F_{3}=5 \mathrm{~N}\) and \(F_{2}=2 \mathrm{~N}\).

b. Apply the boundary conditions and solve for the displacement of the two masses.

Transcribed Image Text:

1 F2 www (2) 3 Element Local Node 1 Local Node 2 Stiffness, ki 1 1 2 2000 N/m 2 2 3 1000 N/m 3 2 3 500 N/m F3