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It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.
  • a)
    384 mm
  • b)
    621.43 mm
  • c)
    480 mm
  • d)
    1242.85 mm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an ax...
In compression zone,
Lap Length = Maximum of development length or 24 ϕ (where ϕ is the dia of smaller dia bar)
Development length,  
[60% increase in bond stress as HYSD bar]
25% increase in bond stress due to compression.
= 621.43 mm
Now 24ϕ = 24 × 16 = 384 mm
So the lap length should be 621.43 mm
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Most Upvoted Answer
It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an ax...
Given:
Diameter of bar (d1) = 20 mm
Diameter of reduced bar (d2) = 16 mm
Grade of steel = Fe500
Design bond stress for M25 grade concrete = 1.4 MPa

To find:
Lap length required for the reduction of bar diameter

Formula:
Lap length (Ld) = [(2 x τbd x π x d1 x L)/σst] + d2

Where,
τbd = Design bond stress
L = Development length
σst = Permissible stress in steel

Calculation:
Given, Fe500 grade steel is used

σst = 500 N/mm²

As per IS code, the development length for Fe500 grade steel is:

L = 40 x d1

L = 40 x 20 = 800 mm

Substitute the given values in the formula to find the lap length:

Ld = [(2 x 1.4 x π x 20 x 800)/500] + 16
Ld = 621.43 mm

Therefore, the required lap length for reducing the 20 mm diameter bar to 16 mm diameter is 621.43 mm.
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It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.a)384 mmb)621.43 mmc)480 mmd)1242.85 mmCorrect answer is option 'B'. Can you explain this answer?
Question Description
It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.a)384 mmb)621.43 mmc)480 mmd)1242.85 mmCorrect answer is option 'B'. 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 It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.a)384 mmb)621.43 mmc)480 mmd)1242.85 mmCorrect answer is option 'B'. 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 It is proposed to reduce 20 mm diameter bar to 16 mm diameter in an axially loaded column. Grade of steel used is Fe500. Which one of the following lap length should be used if the design bond stress for M25 grade concrete is 1.4 MPa.a)384 mmb)621.43 mmc)480 mmd)1242.85 mmCorrect answer is option 'B'. Can you explain this answer?.
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