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If the member is denoted by m and joints by j , the condition for a frame to be redundant is given by:

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. \(\text{m}<2\text{j}+3\)
  2. \(\text{m}<2\text{j}-3\)
  3. \(\text{m}>2\text{j}-3\)
  4. \(\text{m}>2\text{j}+3\)

Answer (Detailed Solution Below)

Option 3 : \(\text{m}>2\text{j}-3\)
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Detailed Solution

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Explanation:

m > 2j − 3

  • This is the condition for a redundant (statically indeterminate) plane truss.
  • When the number of members exceeds what is required for static determinacy, the structure becomes statically indeterminate.
  • In such cases, additional compatibility equations are required to solve internal forces.

 Additional Informationm < 2j − 3

  • This condition indicates a mechanism or unstable structure, where the number of members is insufficient to maintain structural integrity.
  • Such frames will not be able to carry loads effectively without deformation.

 

    • Condition for a perfect (just-rigid) frame:

    • Redundant (over-rigid) frame:


    m > 2j - 3

 

    • Deficient (unstable) frame:

 

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