On my honor, I have neither given nor received unauthorized aid in doing this assignment.
The free body diagram to the right was given for the problem.
Plane Truss From Professor's Notes
Solve 2-element frame system using same data for 2-bar truss system.
Solve 2-element truss system.
A basic form is shown below:
Equations derived from stiffness equations:
Globle stiffness equation is shown below:
Q matrix is shown below:
Force matrix is show below:
Matrix for the system is shown below:
The reduced stiffness is
To solve for the displacements
After matrix math.
After solving for the forces the result is
Below is a figure of the new deformed frame plotted with the undeformed frame.
Deformed frame in red plotted with the undeformed frame in black.
Undeformed frame in red plotted.
Deformed frame in blue plotted.