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In the following questions, j represent no. of joints and r represents no. of external forces.10. If a structure has 2j – r no. of members, then it will be:-
  • a)
    stable
  • b)
    unstable
  • c)
    depends upon structure
  • d)
    depends upon magnitude of load
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the following questions, j represent no. of joints and r represents...
Answer: c
Explanation: In these cases, structures can be stable as well unstable.
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In the following questions, j represent no. of joints and r represents...
If a structure has 2j joints, then the number of members (m) can be determined using the equation:

m = 2j - 3

This equation is based on the fact that for a stable structure, the number of members must be equal to or greater than the number of joints minus 3. The -3 accounts for the fact that a minimum of 3 members are needed to form a stable triangle.

However, it is important to note that this equation assumes a simple truss structure where each joint is connected to a maximum of two members. If the structure is more complex and has joints with more than two members connected to them, then the equation may be different.
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In the following questions, j represent no. of joints and r represents no. of external forces.10. If a structure has 2j – r no. of members, then it will be:-a)stableb)unstablec)depends upon structured)depends upon magnitude of loadCorrect answer is option 'C'. Can you explain this answer?
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