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Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?
- a)Both beams are equally economical
- b)Square beam is more economical
- c)Circular beam is more economical
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two beams, one of circular cross-section and the other of square cross...
Bending stress is given by
Where M is bending moment y is the distance of fibre from the neutral axis and I is the moment of inertia of the cross-section
Given, square and circular cross-section having the same area and material subjected to same bending moment
For the square of side a,
For circular section of diameter d,
Now, since the area is the same,
For square y = a/2 and for circular cross-section y = d/2
Therefore the circular cross-section will experience more flexural stress and square cross-section will suffer less flexural stress and hence will be more economical as compared to circular section.
Where M is bending moment y is the distance of fibre from the neutral axis and I is the moment of inertia of the cross-section
Given, square and circular cross-section having the same area and material subjected to same bending moment
For the square of side a,
For circular section of diameter d,
Now, since the area is the same,
For square y = a/2 and for circular cross-section y = d/2
Therefore the circular cross-section will experience more flexural stress and square cross-section will suffer less flexural stress and hence will be more economical as compared to circular section.
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Two beams, one of circular cross-section and the other of square cross...
Explanation:
When a beam is subjected to bending, different cross-sectional shapes will have different performances in terms of economy. In this case, we have a circular cross-section beam and a square cross-section beam, both with equal areas of cross-section. Let's analyze the economy of each beam.
Circular Beam:
A circular cross-section beam has the advantage of distributing the load evenly along its perimeter. This means that the material is utilized more efficiently in resisting bending moments. The circular shape also provides higher resistance to torsion. However, circular beams require more material to achieve the same area of cross-section compared to other shapes, such as squares. This leads to higher material costs.
Square Beam:
A square cross-section beam has the advantage of utilizing the material more efficiently compared to circular beams. The square shape allows for a larger moment of inertia, which results in higher resistance to bending moments. This means that a square beam can achieve the same area of cross-section with less material compared to a circular beam. Therefore, square beams are more economical in terms of material costs.
Conclusion:
Based on the analysis, the square beam is more economical compared to the circular beam when both beams have equal areas of cross-section. The square beam utilizes the material more efficiently and requires less material to achieve the same cross-sectional area, resulting in lower material costs. Therefore, the correct answer is option 'B' - Square beam is more economical.
When a beam is subjected to bending, different cross-sectional shapes will have different performances in terms of economy. In this case, we have a circular cross-section beam and a square cross-section beam, both with equal areas of cross-section. Let's analyze the economy of each beam.
Circular Beam:
A circular cross-section beam has the advantage of distributing the load evenly along its perimeter. This means that the material is utilized more efficiently in resisting bending moments. The circular shape also provides higher resistance to torsion. However, circular beams require more material to achieve the same area of cross-section compared to other shapes, such as squares. This leads to higher material costs.
Square Beam:
A square cross-section beam has the advantage of utilizing the material more efficiently compared to circular beams. The square shape allows for a larger moment of inertia, which results in higher resistance to bending moments. This means that a square beam can achieve the same area of cross-section with less material compared to a circular beam. Therefore, square beams are more economical in terms of material costs.
Conclusion:
Based on the analysis, the square beam is more economical compared to the circular beam when both beams have equal areas of cross-section. The square beam utilizes the material more efficiently and requires less material to achieve the same cross-sectional area, resulting in lower material costs. Therefore, the correct answer is option 'B' - Square beam is more economical.
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Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect 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 Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect 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 Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect 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 Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect 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 Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two beams, one of circular cross-section and the other of square cross-section, have equal area of cross-section, when this beam are subjected to bending?a)Both beams are equally economicalb)Square beam is more economicalc)Circular beam is more economicald)None of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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