In the given truss, which of the following is a zero force member?

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SSC JE CE Previous Year Paper 8 (Held on 29 Oct 2020 Morning)
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  1. BH
  2. EF
  3. AB
  4. AG

Answer (Detailed Solution Below)

Option 2 : EF
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Detailed Solution

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Concept:

To identify the zero force members in truss, the following rules are required to be used:

1. If at a joint three members are meeting, two of which are collinear then force in third member is zero provide that no external load is acting on joint.

2. If two non-collinear members are meeting at joint and no external load is acting on that joint, then force in both members is zero.

Calculation:

Joint D:

Member DC and DE are non-collinear and No external load an joint D.

So

  Rule 2

Joint E:

∑Fy = 0

⇒ FEF = 0

∑ Fx = 0

Joint C:

FE2 = + 5 kN (Tensile)

FCI = 0  Rule (2)

FCB = 0 Rule (2)

Zero force members

Area DE, DC, EF, CI, CB

Tube are shown in above diagram.

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