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In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows:
Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam.
  • Circular section is more economical than square section.
  • I-section is more economical than a rectangular section of the same depth.
    Which of the above are correct?
    • a)
      1, 2 and 3
    • b)
      1 and 2 only
    • c)
      2 and 3 only
    • d)
      1 and 3 only
    Correct answer is option 'D'. Can you explain this answer?
    Most Upvoted Answer
    In the design of beams for a given strength, consider that the condit...
    Equating area of rectangle and square:
    rectangular cross-section is more economical than square cross-section.
    Square is economical than circular cross-section.
    I-section is more economical than rectangular section.
    Free Test
    Community Answer
    In the design of beams for a given strength, consider that the condit...
    To understand why option D is correct, let's analyze each statement one by one:

    Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam.
    - This statement is true because a rectangular cross-section allows for a higher moment of inertia compared to a square cross-section of the same area. The moment of inertia determines the beam's resistance to bending, and a higher moment of inertia means the beam can withstand greater bending without deformation. By using a rectangular cross-section, we can achieve the same strength while using less material, thus reducing the cost.

    Circular section is more economical than square section.
    - This statement is also true because a circular cross-section has the maximum moment of inertia for a given area. The distribution of material in a circular section is more efficient in resisting bending compared to a square section, which has more material concentrated at the corners. Therefore, a circular section can achieve the same strength with less material, making it more economical.

    I-section is more economical than a rectangular section of the same depth.
    - This statement is true because an I-section provides a higher moment of inertia compared to a rectangular section of the same depth. The flanges of the I-section contribute significantly to the overall moment of inertia, allowing the beam to resist bending more effectively. As a result, an I-section can achieve the same strength as a rectangular section while using less material, leading to cost savings.

    In summary, option D is the correct answer because all three statements are true. Rectangular cross-sections are more economical than square sections, circular sections are more economical than square sections, and I-sections are more economical than rectangular sections of the same depth. By considering these principles in beam design, engineers can optimize the use of materials and achieve cost-effective and structurally efficient solutions.
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    In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows: Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam. Circular section is more economical than square section. I-section is more economical than a rectangular section of the same depth. Which of the above are correct?a)1, 2 and 3b)1 and 2 onlyc)2 and 3 onlyd)1 and 3 onlyCorrect answer is option 'D'. Can you explain this answer?
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    In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows: Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam. Circular section is more economical than square section. I-section is more economical than a rectangular section of the same depth. Which of the above are correct?a)1, 2 and 3b)1 and 2 onlyc)2 and 3 onlyd)1 and 3 onlyCorrect answer is option 'D'. 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 In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows: Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam. Circular section is more economical than square section. I-section is more economical than a rectangular section of the same depth. Which of the above are correct?a)1, 2 and 3b)1 and 2 onlyc)2 and 3 onlyd)1 and 3 onlyCorrect answer is option 'D'. 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 In the design of beams for a given strength, consider that the conditions of economy of used of the material would avail as follows: Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam. Circular section is more economical than square section. I-section is more economical than a rectangular section of the same depth. Which of the above are correct?a)1, 2 and 3b)1 and 2 onlyc)2 and 3 onlyd)1 and 3 onlyCorrect answer is option 'D'. Can you explain this answer?.
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