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A hinged support in a real beam-
  • a)
    becomes an internal hinge a conjugate beam
  • b)
    changes to a free suport in a conjugate beam
  • c)
    changes to fixed support in a conjugate beam
  • d)
    remains as hinged support in a conjugate beam
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A hinged support in a real beam-a)becomes an internal hinge a conjuga...
Conjugate Beam
Real Beam
So, hinged support in real beam remains as hinged support in the conjugate beam.
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A hinged support in a real beam-a)becomes an internal hinge a conjuga...
Explanation:


In structural analysis, the conjugate beam method is often used to determine the bending moment and shear force in a beam. The conjugate beam is an imaginary beam with the same length as the real beam, but with the supports and loading conditions reversed.

When analyzing a real beam, we consider the supports to be fixed, hinged, or free. In the conjugate beam, the supports are reversed. So, if the real beam has a fixed support, the conjugate beam will have a free support, and vice versa. However, if the real beam has a hinged support, the conjugate beam will also have a hinged support. This is because a hinged support allows rotation, which is a characteristic of a hinged support in both the real and conjugate beams.

Key Points:

- The conjugate beam method is used to determine the bending moment and shear force in a beam.
- The conjugate beam has the same length as the real beam, but with reversed supports and loading conditions.
- In the conjugate beam, a fixed support in the real beam becomes a free support, and vice versa.
- However, a hinged support in the real beam remains a hinged support in the conjugate beam because it allows rotation.
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Community Answer
A hinged support in a real beam-a)becomes an internal hinge a conjuga...
Conjugate Beam
Real Beam
So, hinged support in real beam remains as hinged support in the conjugate beam.
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A hinged support in a real beam-a)becomes an internal hinge a conjugate beamb)changes to a free suport in a conjugate beamc)changes to fixed support in a conjugate beamd)remains as hinged support in a conjugate beamCorrect answer is option 'D'. Can you explain this answer?
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