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Good day All while trying to solve this exerciceenter image description here

I tried to find a symmetry plan to make my computations easy

and according to my basic understanding the symmetry must be in term of: lenght

  • length
  • load
  • support

so my question is can I consider the red line of this picture as an axe of symmetry? many thanks in advance! enter image description here

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You can't , because the bound at $1$ is not symmetric to that line.

However note that the hinges No. 2,3,4 are fixed (at least that is the meaning of the symbols employed).
If so, rods 2 and 3 do not come into play and you can cancel them.

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  • $\begingroup$ Thanks for your prompt answer, but I still have a lot of confusion in my mind, according to you, it s not a matter of symmetry but a matter of cancelling the fixed rods?! $\endgroup$ – Ama Ouchen Feb 16 '18 at 4:00
  • $\begingroup$ yes, exactly that. $\endgroup$ – G Cab Feb 16 '18 at 19:27
  • $\begingroup$ @AmaOuchen and, since the hinge 1 is allowed to slide parallel to rod 1 and orthogonal to rod 4, then (for small movements) you can cancel also rod 4. Then the solution is simple, isn't it? $\endgroup$ – G Cab Feb 16 '18 at 20:27

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