Learning Goal:

To develop the structural stiffness matrix in global coordinates for a

truss.

The member stiffness matrix in global coordinates $k$ can be determined

using the formula shown below, where ${}_x=\frac{x_F-x_N}{L}$ and

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

Figure

Determine the global stiffness matrix for member $3.$

Express your answers to three significant figures.

View Available Hint$($s$)$