$k=\frac{AE}{L}\left[\begin{array}{cccc}{}_x^2& {}_x{}_y& -{}_x^2& -{}_x{}_y\\ {}_x{}_y& {}_y^2& -{}_x{}_y& -{}_y^2\\ -{}_x^2& -{}_x{}_y& {}_x^2& {}_x{}_y\\ -{}_x{}_y& -{}_y^2& {}_x{}_y& {}_y^2\end{array}\right]\{\begin{array}{c}\text{:}[N_y]\\ F_x\\ F_y\end{array}$

Notice the codes associated with the near end $(N_x,N_y)$ and far end $(F_x,F_y)$ degrees of freedom. Once all the member stiffness matrices are formed, the truss stiffness matrix can be constructed. Each element in each member stiffness matrix $k$ is placed in the corresponding row and column designation in the truss stiffness matrix $K.$ At locations where two or more members are connected to the same node, entries in the respective $k$ matrices are added together.

Figure

$1$ or $1$

Part C

Determine the structural stiffness matrix for only the unconstrained degrees of freedom in the truss.

Express your answers to three significant figures.

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Check your entry in row $1,$ column $1.$ Let columns $1,2,3$ and rows $1,2,3$ represent code number $1,2,3$; respectively.

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