Optimized "4 Zero Force Members: Check If You Have It Right

[dbag123]

Homework Statement

Determine the zero force members

Relevant Equations

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This truss is supposed to have 4 zero force members and i have picked the following. Does it look right?
Left side: Join has 2 members of which the colinear are the 2 vertical members and so the horizontal must be 0
Right side: Join has 2 members with no external load, therefore both are 0
I am unsure about the middle part and would like some confirmation or a nudge in the right direction. Thanks
Correction: There is only 3 0-force members and the one in the middle is wrong.

 

[Orodruin]

Left side: Join has 2 members of which the colinear are the 2 vertical members and so the horizontal must be 0

This is true in this specific case because there are no horizontal loads. However, note that there will be a force in that member as soon as any horizontal load is introduced (the right support is locked in place and can therefore also support horizontal forces).