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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)Square section beam will be stronger
- c)Circular 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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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 
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Two beams of equal cross-sectional area are subjected to equal bending...
Introduction:
In this question, we are comparing the strength of two beams with different cross-sectional shapes (one with a square cross-section and the other with a circular cross-section) when subjected to equal bending moments. The objective is to determine which beam is stronger.
Explanation:
To understand which beam is stronger, we need to consider the distribution of stress and strain within each beam.
1. Square Cross-Section Beam:
When a square cross-section beam is subjected to a bending moment, the maximum stress occurs at the corners of the square. This is because the corners have a smaller radius of curvature compared to the sides. Due to this stress concentration, the beam is more likely to fail at the corners.
2. Circular Cross-Section Beam:
In a circular cross-section beam, the stress is uniformly distributed along the entire cross-section. This is because the circular shape allows for a smooth distribution of stress, resulting in a more uniform load transfer. As a result, the circular cross-section beam is less likely to fail compared to the square cross-section beam.
3. Comparison:
Based on the above explanations, we can conclude that the square cross-section beam is weaker than the circular cross-section beam. This is because the stress concentration at the corners of the square cross-section beam makes it more susceptible to failure.
Conclusion:
In summary, when subjected to equal bending moments, the square cross-section beam is weaker compared to the circular cross-section beam. The circular cross-section beam, with its smooth stress distribution, is better able to withstand the applied load. Therefore, the correct answer is option 'B' - the square section beam will be stronger.
In this question, we are comparing the strength of two beams with different cross-sectional shapes (one with a square cross-section and the other with a circular cross-section) when subjected to equal bending moments. The objective is to determine which beam is stronger.
Explanation:
To understand which beam is stronger, we need to consider the distribution of stress and strain within each beam.
1. Square Cross-Section Beam:
When a square cross-section beam is subjected to a bending moment, the maximum stress occurs at the corners of the square. This is because the corners have a smaller radius of curvature compared to the sides. Due to this stress concentration, the beam is more likely to fail at the corners.
2. Circular Cross-Section Beam:
In a circular cross-section beam, the stress is uniformly distributed along the entire cross-section. This is because the circular shape allows for a smooth distribution of stress, resulting in a more uniform load transfer. As a result, the circular cross-section beam is less likely to fail compared to the square cross-section beam.
3. Comparison:
Based on the above explanations, we can conclude that the square cross-section beam is weaker than the circular cross-section beam. This is because the stress concentration at the corners of the square cross-section beam makes it more susceptible to failure.
Conclusion:
In summary, when subjected to equal bending moments, the square cross-section beam is weaker compared to the circular cross-section beam. The circular cross-section beam, with its smooth stress distribution, is better able to withstand the applied load. Therefore, the correct answer is option 'B' - the square section beam will be stronger.
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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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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)Square section beam will be strongerc)Circular 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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