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The shape of the cross section which has the largest shape factor is
- a)rectangular
- b)I-section
- c)diamond
- d)solid circular
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The shape of the cross section which has the largest shape factor isa...
Largest shape factor also depends upon lowest value of section modulus and diamond section of equal area will have least section modulus (Z). Hence, diamond has shape factor as 2, whereas circle has 1.7, Rectangle-1.3.
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The shape of the cross section which has the largest shape factor isa...
The shape of the cross section that has the largest shape factor is the diamond shape.
Explanation:
The shape factor is a measure of how efficiently a cross-sectional shape resists bending or torsional stresses. It is calculated by dividing the moment of inertia of the cross section about the neutral axis by the section modulus.
The moment of inertia represents the resistance of a shape to bending, while the section modulus represents the resistance to both bending and torsion.
Here is a comparison of the shape factors for the given cross-sectional shapes:
- Rectangular: A rectangular cross section has a relatively low shape factor. This is because the moment of inertia is relatively small compared to the section modulus. The rectangular shape is not very efficient in resisting bending and torsional stresses.
- I-section: An I-section cross section has a higher shape factor compared to a rectangular shape. This is because the I-section has a larger moment of inertia due to the presence of the flanges. The flanges provide additional resistance to bending stresses, making the I-section more efficient.
- Diamond: A diamond-shaped cross section has the largest shape factor among the given options. The diamond shape has a larger moment of inertia compared to the I-section. The shape of the diamond distributes the material away from the neutral axis, increasing the resistance to bending and torsional stresses.
- Solid circular: A solid circular cross section has a relatively low shape factor. This is because the moment of inertia is relatively small compared to the section modulus. The circular shape is not very efficient in resisting bending and torsional stresses.
Therefore, the diamond shape has the largest shape factor among the given options, indicating that it is the most efficient in resisting bending and torsional stresses.
Explanation:
The shape factor is a measure of how efficiently a cross-sectional shape resists bending or torsional stresses. It is calculated by dividing the moment of inertia of the cross section about the neutral axis by the section modulus.
The moment of inertia represents the resistance of a shape to bending, while the section modulus represents the resistance to both bending and torsion.
Here is a comparison of the shape factors for the given cross-sectional shapes:
- Rectangular: A rectangular cross section has a relatively low shape factor. This is because the moment of inertia is relatively small compared to the section modulus. The rectangular shape is not very efficient in resisting bending and torsional stresses.
- I-section: An I-section cross section has a higher shape factor compared to a rectangular shape. This is because the I-section has a larger moment of inertia due to the presence of the flanges. The flanges provide additional resistance to bending stresses, making the I-section more efficient.
- Diamond: A diamond-shaped cross section has the largest shape factor among the given options. The diamond shape has a larger moment of inertia compared to the I-section. The shape of the diamond distributes the material away from the neutral axis, increasing the resistance to bending and torsional stresses.
- Solid circular: A solid circular cross section has a relatively low shape factor. This is because the moment of inertia is relatively small compared to the section modulus. The circular shape is not very efficient in resisting bending and torsional stresses.
Therefore, the diamond shape has the largest shape factor among the given options, indicating that it is the most efficient in resisting bending and torsional stresses.
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The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer?
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The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer?.
The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The shape of the cross section which has the largest shape factor isa)rectangularb)I-sectionc)diamondd)solid circularCorrect answer is option 'C'. Can you explain this answer?.
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