(Solved): Consider the spring assemblage shown in the figure above. Use the direct stiffness method. Suppose ...

Consider the spring assemblage shown in the figure above. Use the direct stiffness method. Suppose that \( F=400 \mathrm{Ib} \). Determine the nodal displacements. (Enter your answers to three significant figures.) \( \begin{array}{ll}u_{1}= & \text { in } \\ u_{2}= & \text { in } \\ u_{3}= & \text { in } \\ u_{4}= & \text { in }\end{array} \) Determine the forces in element \( 1 . \) (Enter your answers to three significant figures.) \[ f_{1 \mathrm{x}}^{(1)}= \] \[ f^{(1)}-\quad \text { th } \] Determine the forces in element \( 1 . \) (Enter your answers to three significant figures.) \[ \begin{array}{ll} f_{1 x}^{(1)}= & \text { lb } \\ f_{2 x}^{(1)}= & 1 \mathrm{lb} \end{array} \] Determine the forces in element \( 2 . \) (Enter your answers to three significant figures.) \[ \begin{array}{ll} f_{2 x}^{(2)}= & \text { lb } \\ f_{3 x}^{(2)}= & \text { lb } \end{array} \] Determine the forces in element \( 3 . \) (Enter your answers to three significant figures.) \[ \begin{array}{ll} f_{3 x}^{(3)}= & \text { lb } \\ f_{4 x}^{(3)}= & \mathrm{lb} \end{array} \] Determine the reaction force at node \( 1 . \) Determine the reaction force at node 1 . (Enter your answer to three significant figures.)