University of Florida/Eml4507/s13.team3.andersondavyr7

Problem 7.1

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

Given

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

 
Plane Truss From Professor's Notes

Find

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

Solution

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Frame Problem

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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

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