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In a simply supported beam of span l, each end is restrained against torsion, compression flange being unrestrained. According to IS : 800, the effective length of the compression flange will be equal to
  • a)
    l
  • b)
    0.85l
  • c)
    0.75l
  • d)
    0.70l
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a simply supported beam of span l, each end is restrained against t...
a) l. According to IS:800 (Indian Standard: Code of Practice for General Construction in Steel), the effective length of the compression flange of a simply supported beam of span l, with each end restrained against torsion and the compression flange unrestrained, is equal to l. The effective length of the compression flange is used to calculate the design moment of the beam and the size of the compression flange required to resist the applied loads. The effective length is based on the assumption that the compression flange is able to develop its full strength and that the beam is able to resist the applied loads without buckling. The effective length may be adjusted based on the specific conditions of the beam and the applied loads.
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In a simply supported beam of span l, each end is restrained against t...
Effective Length of Compression Flange in Simply Supported Beam

Effective length is the length of a compression member between points of zero moment. In the case of a simply supported beam with each end restrained against torsion, the effective length of the compression flange can be calculated using the following formula:

Effective length = l

Where l is the span of the beam.

Explanation of Answer

According to IS : 800, the effective length of the compression flange in a simply supported beam is equal to the span of the beam. This is because the compression flange is unrestrained, meaning that it is free to buckle in any direction. As a result, the entire span of the beam is considered to be the effective length of the compression flange.

It is important to note that the effective length of the compression flange can vary depending on the type of support and the degree of restraint. In cases where the ends of the beam are not fully restrained, the effective length of the compression flange will be less than the span of the beam.

Conclusion

In a simply supported beam with each end restrained against torsion, the effective length of the compression flange is equal to the span of the beam. This is because the compression flange is unrestrained and free to buckle in any direction. It is important to consider the degree of restraint and type of support when calculating the effective length of the compression flange in other types of beams.
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