Find the coordinate transformation matrix of each member

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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.

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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.

2229_eadc0181-e55c-4c16-926b-7292d5c99332.png

Reference no: EM131149655

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