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Which of the following statement(s) is/are correct?
  • a)
    If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.
  • b)
    If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.
  • c)
    The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.
  • d)
    If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point,
Correct answer is option 'A,B,D'. Can you explain this answer?
Most Upvoted Answer
Which of the following statement(s) is/are correct?a)If a structure is...
(a) As per Bett’s theorem

P1δ3 + P2δ4 - P3δ1 + P4δ2
(b) As per Castigliano Theorem-ll

(c) Not correct.
The shear force in conjugate beam loaded by M/El diagram of real beam equal to corresponding slope of real beam.
(d) Correct.

As per Castigliano Theorem-I.
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Community Answer
Which of the following statement(s) is/are correct?a)If a structure is...
Statement Analysis:

a) External Virtual Work:
- The external virtual work done by a system of forces Pb during deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.

b) Partial Derivative of Total Strain Energy:
- For a linearly elastic structure subjected to loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.

c) Shear Force in Conjugate Beam:
- The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.

d) Partial Derivative of Total Strain Energy with Respect to Deflection:
- For a linearly elastic structure subjected to loads, the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point.

Explanation:
- Statements a, b, and d are correct because they are fundamental principles in structural mechanics and are widely used in analyzing and designing structures.
- Statement c is incorrect as the shear force in a conjugate beam loaded by the M/El diagram of the real beam is not equal to the corresponding deflection of the real beam. The conjugate beam method is used to determine bending moment and shear force diagrams, not deflections.
- Understanding these principles is crucial for structural engineers to ensure the stability and safety of structures under different loading conditions.
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Which of the following statement(s) is/are correct?a)If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.b)If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.c)The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.d)If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point,Correct answer is option 'A,B,D'. Can you explain this answer?
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Which of the following statement(s) is/are correct?a)If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.b)If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.c)The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.d)If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point,Correct answer is option 'A,B,D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which of the following statement(s) is/are correct?a)If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.b)If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.c)The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.d)If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point,Correct answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement(s) is/are correct?a)If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.b)If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.c)The shear force in a conjugate beam loaded by the M/El diagram of the real beam is equal to the corresponding deflection of the real beam.d)If a linearly elastic structure is subjected to a set of loads the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point,Correct answer is option 'A,B,D'. Can you explain this answer?.
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