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Optimizing structure for toppling

  1. Jun 30, 2014 #1
    Hi! everyone...

    I'm a building a standing frame for disabled children, the structure in elemental form is shown in picture.
    link to picture - https://drive.google.com/file/d/0B60ALttRvwKmdzRGc0pGWlN5Z3c/edit?usp=sharing

    Now, I want to optimize the structure for toppling, lets say a force, F is acting on the top most part, fig(a).
    I can change dimensions but there are certain limitations like minimum length of the frame, maximum width and maximum weight of the plate. So, how do I optimize all these things keeping in condition that frame doesn't topple??

    Also, can I do better optimization by changing structure as shown in fig(b), and fig(c)? if yes, how?
    Last edited: Jun 30, 2014
  2. jcsd
  3. Jun 30, 2014 #2


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    Science Advisor

    The vector sum of frame weight and F must go though the frame's base, to prevent toppling.

    Your a,b,c variants have different structural stability, but the same toppling stability, as long h & W as the same. Unless the weight of the frame or its center of mass position change significantly.
  4. Jun 30, 2014 #3
    hmm... toppling stability actually makes sense.
    So, can I just say, FcosA*h=mg*W/2? (neglecting the mass of vertical bar)
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