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Matrices Property CivilEngineer Example Calculation
Calculation Example – Evaluation of Structural Property Matrices.
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This calculation is an example problem in structural engineering. This content is sponsored by PPI. For similar problems, see the list of review books by PPI
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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