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Matrices Property CivilEngineer Example Calculation # Calculation Example – Evaluation of Structural Property Matrices.

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Calculate the stiffness matrix for the frame structure. It is assumed that the members do not distort axially. The frame has three joint degrees of freedom. At end A, B is rigidly fixed to the ground.

Solution

The frame has three joint degrees of freedom u1 translational,u2,u3 rotational.

We apply unit displacement u1=1 and u2=0,u3=0.

The forces due to unit rotation u2=1 and u1=0,u3=0 are:

So the stiffness matrix (symmetrical) is:

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