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Which of the foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for
1. Prismatic beams only.
2. Several concentrated loads and can be extended to uniformly distributed loads.
3. Both prismatic and Non-prismatic beams,
1. Prismatic beams only.
2. Several concentrated loads and can be extended to uniformly distributed loads.
3. Both prismatic and Non-prismatic beams,
- a)Only 1
- b)1 and 2
- c)Only 3
- d)2 and 3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the foilowing statements are correct. Macaulay's method f...
Macaulay’s method is based on singularity function. It is applicable for prismatic beams only. While Mohr’s moment area method can be used for prismatic and non-prismatic beams.
Most Upvoted Answer
Which of the foilowing statements are correct. Macaulay's method f...
Macaulay's method for calculation of slope and deflection in a beam
Introduction
Macaulay's method is a widely used technique in structural engineering for calculating the slope and deflection of beams. It is a powerful tool that can be used to analyze both prismatic and non-prismatic beams subjected to various loading conditions. In this method, the beam is divided into smaller segments, and the bending moment equation is expressed in terms of these segments.
Statement 1: Macaulay's method is suitable for prismatic beams only
This statement is incorrect. Macaulay's method can be used to analyze both prismatic and non-prismatic beams. Prismatic beams are those that have a constant cross-section throughout their length, while non-prismatic beams have varying cross-sections along their length. Macaulay's method is applicable to both types of beams, making it a versatile technique.
Statement 2: Macaulay's method can be extended to uniformly distributed loads
This statement is correct. Macaulay's method can handle various loading conditions, including concentrated loads as well as uniformly distributed loads. By expressing the bending moment equation in terms of smaller segments, the method can effectively account for the distribution of loads along the beam's length. This allows for accurate calculation of the slope and deflection under uniformly distributed loads.
Statement 3: Macaulay's method is suitable for both prismatic and non-prismatic beams
This statement is correct. As mentioned earlier, Macaulay's method can be used for both prismatic and non-prismatic beams. The method does not rely on the beam's cross-sectional properties remaining constant, making it applicable to a wide range of beam geometries. Whether the beam is prismatic or non-prismatic, Macaulay's method provides an effective approach to determine the slope and deflection.
Conclusion
In conclusion, Macaulay's method is a versatile technique for calculating the slope and deflection in beams. It can be applied to both prismatic and non-prismatic beams, making it suitable for a wide range of structural analysis problems. Additionally, the method can handle various loading conditions, including concentrated loads and uniformly distributed loads. Therefore, statement 1 is incorrect, statement 2 is correct, and statement 3 is correct. The correct option is 'B' - 1 and 2.
Introduction
Macaulay's method is a widely used technique in structural engineering for calculating the slope and deflection of beams. It is a powerful tool that can be used to analyze both prismatic and non-prismatic beams subjected to various loading conditions. In this method, the beam is divided into smaller segments, and the bending moment equation is expressed in terms of these segments.
Statement 1: Macaulay's method is suitable for prismatic beams only
This statement is incorrect. Macaulay's method can be used to analyze both prismatic and non-prismatic beams. Prismatic beams are those that have a constant cross-section throughout their length, while non-prismatic beams have varying cross-sections along their length. Macaulay's method is applicable to both types of beams, making it a versatile technique.
Statement 2: Macaulay's method can be extended to uniformly distributed loads
This statement is correct. Macaulay's method can handle various loading conditions, including concentrated loads as well as uniformly distributed loads. By expressing the bending moment equation in terms of smaller segments, the method can effectively account for the distribution of loads along the beam's length. This allows for accurate calculation of the slope and deflection under uniformly distributed loads.
Statement 3: Macaulay's method is suitable for both prismatic and non-prismatic beams
This statement is correct. As mentioned earlier, Macaulay's method can be used for both prismatic and non-prismatic beams. The method does not rely on the beam's cross-sectional properties remaining constant, making it applicable to a wide range of beam geometries. Whether the beam is prismatic or non-prismatic, Macaulay's method provides an effective approach to determine the slope and deflection.
Conclusion
In conclusion, Macaulay's method is a versatile technique for calculating the slope and deflection in beams. It can be applied to both prismatic and non-prismatic beams, making it suitable for a wide range of structural analysis problems. Additionally, the method can handle various loading conditions, including concentrated loads and uniformly distributed loads. Therefore, statement 1 is incorrect, statement 2 is correct, and statement 3 is correct. The correct option is 'B' - 1 and 2.
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Which of the foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for1. Prismatic beams only.2. Several concentrated loads and can be extended to uniformly distributed loads.3. Both prismatic and Non-prismatic beams,a)Only 1b)1 and 2c)Only 3d)2 and 3Correct answer is option 'B'. Can you explain this answer?
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Which of the foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for1. Prismatic beams only.2. Several concentrated loads and can be extended to uniformly distributed loads.3. Both prismatic and Non-prismatic beams,a)Only 1b)1 and 2c)Only 3d)2 and 3Correct answer is option 'B'. 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 foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for1. Prismatic beams only.2. Several concentrated loads and can be extended to uniformly distributed loads.3. Both prismatic and Non-prismatic beams,a)Only 1b)1 and 2c)Only 3d)2 and 3Correct answer is option 'B'. 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 foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for1. Prismatic beams only.2. Several concentrated loads and can be extended to uniformly distributed loads.3. Both prismatic and Non-prismatic beams,a)Only 1b)1 and 2c)Only 3d)2 and 3Correct answer is option 'B'. Can you explain this answer?.
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