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.
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:
Based on Figure 1, we get: where:...
The rod of the picture is loaded with the force 2...