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Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, then
- a)Both beams will be equally strong
- b)Circular section beam will be stronger
- c)Square section beam will be stronger
- d)The strength of the beam will depend on the nature of loading
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two beams of equal cross-sectional area are subjected to equal bending...
If D is diameter of circle and 'a' the side of square section,
Z for circular section 
and Z for square section 
and Z for square section Most Upvoted Answer
Two beams of equal cross-sectional area are subjected to equal bending...
Explanation:
When a beam is subjected to bending moment, it experiences tensile stress on one face and compressive stress on the other face. The magnitude of these stresses depends on the cross-sectional area and shape of the beam.
Comparing Square and Circular Cross-Sections:
1. Square Cross-Section:
In a square cross-section, the maximum distance between the neutral axis and the extreme fiber is d/2, where d is the side of the square. Therefore, the tensile and compressive stresses at the extreme fiber are given by:
σ = M/(Z*d/2) = 2*M/(d^2)
2. Circular Cross-Section:
In a circular cross-section, the maximum distance between the neutral axis and the extreme fiber is d/2, where d is the diameter of the circle. Therefore, the tensile and compressive stresses at the extreme fiber are given by:
σ = M/(Z*d/4) = 4*M/(π*d^2)
Comparing the two equations, it can be observed that the stress in a circular section beam is greater than that in a square section beam. This means that for the same bending moment, a circular section beam will experience higher stresses than a square section beam.
Therefore, the circular section beam will be stronger than the square section beam.
Conclusion:
The strength of a beam depends on its cross-sectional area and shape. For the same bending moment, a circular section beam will be stronger than a square section beam because it experiences higher stresses.
When a beam is subjected to bending moment, it experiences tensile stress on one face and compressive stress on the other face. The magnitude of these stresses depends on the cross-sectional area and shape of the beam.
Comparing Square and Circular Cross-Sections:
1. Square Cross-Section:
In a square cross-section, the maximum distance between the neutral axis and the extreme fiber is d/2, where d is the side of the square. Therefore, the tensile and compressive stresses at the extreme fiber are given by:
σ = M/(Z*d/2) = 2*M/(d^2)
2. Circular Cross-Section:
In a circular cross-section, the maximum distance between the neutral axis and the extreme fiber is d/2, where d is the diameter of the circle. Therefore, the tensile and compressive stresses at the extreme fiber are given by:
σ = M/(Z*d/4) = 4*M/(π*d^2)
Comparing the two equations, it can be observed that the stress in a circular section beam is greater than that in a square section beam. This means that for the same bending moment, a circular section beam will experience higher stresses than a square section beam.
Therefore, the circular section beam will be stronger than the square section beam.
Conclusion:
The strength of a beam depends on its cross-sectional area and shape. For the same bending moment, a circular section beam will be stronger than a square section beam because it experiences higher stresses.
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Community Answer
Two beams of equal cross-sectional area are subjected to equal bending...
Square cross section beam will have more strength.
beacuase the distance between nutral axis and outer febric will be min. in square cross section beam.
beacuase the distance between nutral axis and outer febric will be min. in square cross section beam.
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Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer?
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Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect 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 Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect 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 Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer?.
Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect 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 Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect 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 Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer?.
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Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, thena)Both beams will be equally strongb)Circular section beam will be strongerc)Square section beam will be strongerd)The strength of the beam will depend on the nature of loadingCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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