For the seven-member planar truss considered in Problem 12.6 (Fig. 12.18), determine the following:
(a) The system stiffness matrix after applying the boundary conditions.
(b) The nodal displacements of the truss under the loads indicated in Fig. 12.18.
Problem 12.6
A seven-member planar truss (with pin joints) is shown in Fig. 12.18. Each of the seven members has an area of cross section of and a Young s modulus of 207 GPa.
(a) Label the complete set of local and global nodal displacement degrees of freedom of the truss. Assume the X and Y coordinates shown in Fig. 12.18 as global coordinates.
(b) Find the coordinate transformation matrix of each member.
(c) Find the local and global stiffness matrices of each member.
