Flexibility Method - Nodal Equilibrium Equations

Nodal Equilibrium Equations

To resolve this difficulty, first we make use of the nodal equilibrium equations in order to reduce the number of independent unknown member forces. The nodal equilibrium equation for the system has the form:

where

: Vector of nodal forces at all N degrees of freedom of the system.
: The resulting nodal equilibrium matrix
: The vector of forces arising from loading on the members.

In the case of determinate systems, matrix b is square and the solution for Q can be found immediately from (3) provided that the system is stable.

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