The transformed area of compression steel is equal to:

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PGCIL DT Civil 2018 Official Paper
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  1. (1.5m – 1)ASC
  2. σST / m
  3. 1.5 m ASC
  4. m. Ast

Answer (Detailed Solution Below)

Option 1 : (1.5m – 1)ASC
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Detailed Solution

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Explanation:

F1 Ram S 12-08-21 Savit D5

For tension steel:

Modular ratio = m

Equivalent area = m.Ast

Stress in steel = σst

Stress in concrete = σst/m

For compression steel:

Modular ratio = 1.5 m

Equivalent area = 1.5 m Asc

Considering deduction of concrete area (Asc) not available at steel location

Net area of compression steel considered = 1.5 m Asc - Asc

= (1.5m - 1) Asc

Stress in concrete at the location of compression steel = σ'c

Stress in compression steel = 1.5 mσ'c

Note:

Higher value of m (1.5 m) is due to the higher effect of creep considered in compression steel as compared to tension steel.

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