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For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length l is
  • a)
    l = 0.7L
  • b)
    l = 0.75L
  • c)
    l = 0.5L
  • d)
    l = 3L
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For a cantilever beam of length L built-in at the support and restrain...
Cantilever Beam

A cantilever beam is a structural element that is fixed at one end (built-in support) and free at the other end. It is used to support loads and resist bending and shear forces.

Effective Projecting Length

The effective projecting length of a cantilever beam is the distance between the built-in support and the point where the beam is restrained against torsion at the free end. This length is important in determining the bending moment and shear force at any point along the beam.

Calculation of Effective Projecting Length

The effective projecting length of a cantilever beam restrained against torsion at the free end is given by the equation:

l = 0.75L

Where l is the effective projecting length and L is the total length of the cantilever beam.

The factor 0.75 is used because the end of the beam is restrained against torsion, which reduces the effective length. This factor is based on experimental data and is commonly used in engineering design.

Conclusion

In summary, for a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length is given by l = 0.75L. This length is important in determining the bending moment and shear force at any point along the beam.
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For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length lisa)l = 0.7Lb)l = 0.75Lc)l = 0.5Ld)l = 3LCorrect answer is option 'B'. Can you explain this answer?
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For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length lisa)l = 0.7Lb)l = 0.75Lc)l = 0.5Ld)l = 3LCorrect 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 For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length lisa)l = 0.7Lb)l = 0.75Lc)l = 0.5Ld)l = 3LCorrect 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 For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length lisa)l = 0.7Lb)l = 0.75Lc)l = 0.5Ld)l = 3LCorrect answer is option 'B'. Can you explain this answer?.
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