University of Florida/Eml4507/s13.team3.andersondavyr7

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Problem 7.1[edit]

On my honor, I have neither given nor received unauthorized aid in doing this assignment. 

Given[edit]

The free body diagram to the right was given for the problem.

Plane Truss From Professor's Notes

Find[edit]

Solve 2-element frame system using same data for 2-bar truss system.
Solve 2-element truss system.

Solution[edit]

Frame Problem[edit]

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.



Truss Problem[edit]

Undeformed frame in red plotted.
Deformed frame in blue plotted.