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Which of the following statements is INCORRECT?
- a)First moment area theorem gives slope at deflection curve.
- b)Deflection of nonprismatic beam is usually found out by method of superposition.
- c)Beams that are continuous over many supports are known as continuous beams.
- d)First moment area theorem gives deflection
Correct answer is option 'B'. Can you explain this answer?
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Which of the following statements is INCORRECT?a)First moment area the...
Incorrect Statement Regarding Deflection of Nonprismatic Beam
Introduction
Deflection is an important factor that needs to be considered while designing any structure, especially beams. The deflection of a beam is the degree to which the beam bends under a load. There are various methods to calculate deflection, and the correct statement regarding deflection is necessary to choose the right method.
Incorrect Statement
The incorrect statement among the given options is option B, which states that deflection of nonprismatic beam is usually found out by the method of superposition.
Explanation
The method of superposition is used to calculate the deflection of a beam that is composed of two or more simple beams. The deflection of each simple beam is calculated separately, and then the deflection of the composite beam is determined by adding the deflections of the simple beams. This method is not used to calculate the deflection of nonprismatic beams because nonprismatic beams have varying cross-sections along their length.
The deflection of nonprismatic beams is usually calculated using numerical or analytical methods. These methods include the area-moment method, the conjugate beam method, and the finite element method. The area-moment method involves dividing the beam into small segments with a constant cross-section and calculating the deflection of each segment using the moment-area method. The conjugate beam method is based on the principle that the slope and deflection of a beam are proportional to the shear and bending moment of a conjugate beam, respectively. The finite element method uses numerical techniques to solve the governing equations of the beam under loading conditions.
Conclusion
In conclusion, the incorrect statement among the given options is option B, which states that deflection of nonprismatic beam is usually found out by the method of superposition. The deflection of nonprismatic beams is usually calculated using numerical or analytical methods, such as the area-moment method, the conjugate beam method, and the finite element method.
Introduction
Deflection is an important factor that needs to be considered while designing any structure, especially beams. The deflection of a beam is the degree to which the beam bends under a load. There are various methods to calculate deflection, and the correct statement regarding deflection is necessary to choose the right method.
Incorrect Statement
The incorrect statement among the given options is option B, which states that deflection of nonprismatic beam is usually found out by the method of superposition.
Explanation
The method of superposition is used to calculate the deflection of a beam that is composed of two or more simple beams. The deflection of each simple beam is calculated separately, and then the deflection of the composite beam is determined by adding the deflections of the simple beams. This method is not used to calculate the deflection of nonprismatic beams because nonprismatic beams have varying cross-sections along their length.
The deflection of nonprismatic beams is usually calculated using numerical or analytical methods. These methods include the area-moment method, the conjugate beam method, and the finite element method. The area-moment method involves dividing the beam into small segments with a constant cross-section and calculating the deflection of each segment using the moment-area method. The conjugate beam method is based on the principle that the slope and deflection of a beam are proportional to the shear and bending moment of a conjugate beam, respectively. The finite element method uses numerical techniques to solve the governing equations of the beam under loading conditions.
Conclusion
In conclusion, the incorrect statement among the given options is option B, which states that deflection of nonprismatic beam is usually found out by the method of superposition. The deflection of nonprismatic beams is usually calculated using numerical or analytical methods, such as the area-moment method, the conjugate beam method, and the finite element method.
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Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer?
Question Description
Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer?.
Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following statements is INCORRECT?a)First moment area theorem gives slope at deflection curve.b)Deflection of nonprismatic beam is usually found out by method of superposition.c)Beams that are continuous over many supports are known as continuous beams.d)First moment area theorem gives deflectionCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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