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A structure has two degrees of indeterminacy. The number of plastic hinges that would be formed at complete collapse is
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A structure has two degrees of indeterminacy. The number of plastic h...
Number of plastic hinges required for collapse = degree of static indeterminacy + 1 = 2 + 1 = 3.
Hence the correct answer is option A.
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Most Upvoted Answer
A structure has two degrees of indeterminacy. The number of plastic h...
Given:
Degrees of indeterminacy = 2

To find:
Number of plastic hinges at complete collapse

Solution:

What are plastic hinges?

Plastic hinges are the locations where the bending moment in a structural member is maximum and the member begins to yield plastically. Once a plastic hinge is formed, the bending moment remains constant and the hinge rotates freely.

When does complete collapse occur?

Complete collapse of a structure occurs when all the plastic hinges in the structure have formed.

How to determine the number of plastic hinges in a structure?

The number of plastic hinges in a structure can be determined using the following formula:

Number of plastic hinges = (Degrees of indeterminacy) + 1

Therefore, in this case, the number of plastic hinges at complete collapse would be:

Number of plastic hinges = (2) + 1 = 3

Hence, the correct answer is option A.
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A structure has two degrees of indeterminacy. The number of plastic hinges that would be formed at complete collapse isa)3b)2c)1d)0Correct answer is option 'A'. Can you explain this answer?
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