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The maximum effective reinforcement ratio of a bonded prestressed concrete beam at failure according to IS: 1343 is limited to a value of
1. 0.15
2. 0.40
3. 0.25
4. 0.50

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Correct Answer - Option 2 : 0.40

Concept:

Effective reinforcement ratio:

As per IS 1343:2012, Annex D, Table 11,

  • It is based on effective concrete tension area and given by -

\(\rho _{\rho , ~eff} = \frac{A_{ps}f_{pu}}{bdf_{ck}}\)

Here,

Aps - area of pretensioning tendons in the tension zone

fpu - characteristic tensile strength of tendon

d - effective depth to the centroid of the steel area

b - width of the section

  • The maximum and minimum values of effective reinforcement ratio of a bonded prestressed concrete beam with Pre-tensioned Tendons or with Post-tensioned Tendons having Effective Bond at failure is equal to -

\(\rho _{max , ~eff} = 0.40 \)

\(\rho _{min , ~eff} = 0.025\)

  • The values of fpb (i.e. tensile stress in tendons at failure) and xu (i.e. neutral axis depth) both depends on effective reinforcement ratio.

As per IS 1343:1980, Anenex B,

  • The maximum and minimum values of effective reinforcement ratio of a bonded prestressed concrete beam with Pre-tensioned Tendons or with Post-tensioned Tendons having Effective Bond at failure are equal to -

\(\rho _{max , ~eff} = 0.40 \)

\(\rho _{min , ~eff} = 0.025\)

  • The maximum and minimum values of effective reinforcement ratio of a Post-tensioned beam with unbonded tendons are equal to -

\(\rho _{max , ~eff} = 0.20 \)

\(\rho _{min , ~eff} = 0.025 \)

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