Department of Mechanical & Aerospace Engineering
Department of Mechanical & Aerospace Engineering
Department of Mechanical & Aerospace Engineering
Department of Mechanical & Aerospace Engineering
Topic Area
Aerospace Engineering
Mechanical Engineering
Planar Trusses
Engineering Statics
Engineering Statics
Planar Mechanisms
Engineering Dynamics
Engineering Dynamics
Planar Frames
Solid Mechanics
Solid Mechanics
Planar Heat Conduction
Heat Transfer
Planar Mass-Spring-Damper Systems
Vibrations
Vibrations
Topic Area
Computer Science
Variety
Introduction to MATLAB
Department of Mechanical & Aerospace Engineering
Will Morrow,
Comp. Sci MS Candidate
Sean Maguire,
ME, MS Candidate
Konner White,
BS in ME, AE
GUI Design & Assessment
MATLAB GUISoftware Development
MATLABBackend
Code
•Weekly Meetings Students & Faculty
•Testing with Undergraduate/Graduate Volunteers
Department of Mechanical & Aerospace Engineering
y
x
k0
k
k -- k0
u = D – L
D
L
i
k
Y
X
j
PkA
VkA
MkA
A
B
Pk (X)
Vk (X)
Mk (X)
QkA
Qk (x)
j
i
Department of Mechanical & Aerospace Engineering
Main Window
Editor Window
Main Window runs simulationsand displays or exports results.Invokes the Editor Window.
Editor Window creates, edits, opens,and saves designs
Department of Mechanical & Aerospace Engineering
Department of Mechanical & Aerospace Engineering
MATLAB Installed (2012b or higher)
URL:
At the bottom of the webpage click: Matlab App
Double click on the file CADApp_Truss.mlappinstall
Department of Mechanical & Aerospace Engineering
Note: yE=16.32 mm (nonlinear)
Department of Mechanical & Aerospace Engineering
Return to Editor
Move a Node
•Using the Mouse
•Using Nodal Properties Table
Change the Length of a Member
•Using the Mouse
Node Deletion
•Using the Mouse Middle Button
Importing and Exporting Schematic Files
•Using the Import from File Button and
the Export to File Button
Department of Mechanical & Aerospace Engineering
Eiffel said in 1887 (Le Temps (Paris), February 14):
“Now to what phenomenon did I give primary concern indesigning the Tower? It was wind resistance. Well then! Ihold that the curvature of the monument's four outer edges,which is as mathematical calculation dictated it should be… will give a great impression of strength and beauty, for itwill reveal to the eyes of the observer the boldness of thedesign as a whole.”
As proof of the tower's effectiveness in wind resistance, it swaysonly 6–7 cm (2–3 in) in the wind.
____________
Named after the engineer Gustave Eiffel, whose company designed and builtthe tower.
Erected in 1889 as the entrance arch to the 1889 World’s Fair
The tallest building in Paris; most-visited paid monument in the world; 6.98 millionpeople ascended it in 2011. The tower received its 250 millionth visitor in 2010.
324 meters (1,063 ft) tall, about the same height as an 81-story building.
Has 3 levels for visitors, with restaurants on the 1st and 2nd. From ground level tothe 1st level is over 300 steps, same from the 1st to the 2nd. There are stairs to the3rd level but these are usually closed to the public and it is generally onlyaccessible by lift.
Department of Mechanical & Aerospace Engineering
1st platform
2nd platform
Top platform
Challenge:
Find the widths of the 1st and 2nd platforms subject to theconstraint that the total width L1+L2= 339ft in order tominimize the lateral deflection at the top platform
Hint:
Begin the iterative design process with the
baseline configuration in file JWEEiffel.schm.
Department of Mechanical & Aerospace Engineering
Minimum deflection is 0.207 ft = 2.5 in at the topwhen L1 ≈ 200 ft and L2 ≈139 ft.
Actual Eiffel tower dimensions are
L1 = 216 ft and L2 = 123 ft.
Given the simplicity of our 2D truss model, theinsight than can be achieved is remarkable
