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Development Length Calculation as per Indian Code

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Introduction:

Development length is the extra length of a bar provided beyond the required section in order to ensure the following:-

  • To develop a safe bond between the bar surface& the concrete so that no failure due to slippage of bar occurs during the ultimate load conditions.
  • Also, the extra length of the bar provided as development length is responsible for transferring the stresses developed in any section to the adjoining sections (such as at column beam junction the extra length of bars provided from beam to column).

Importance:

Provision of appropriate development is an important aspect of safe construction practices, proper development length in reinforced bars shall be provided as per the steel grade considered in design otherwise in scenarios where less the against the required is provided the structures will be prone to the due to slippage of joints, bonds, anchors & Laps, in such cases the bars will not yield first but the failure will happen at joints & laps prior to yielding of reinforcement bars.

Calculation of Development length:

As per the Indian Standard – IS 456: 2000, clause 26.2.1 the development length Ld is given the following expression;

development length calculation formula

Where, Ø = nominal dia of reinforcement bar;

σs = Stress in bar at the section considered at design load;

τbd = Design bond stress

(See Also Design Of Reinforced Concrete Structure Video Free Tutorial)

The given formula is used to calculate the required development length in mm for any given dia of bar, same formula is used for limit state method as well as working stress method. The only change in the calculation in both methods is due to the different value of design bond stress; the values of design bond for Limit State & working stress are as follows:-

development-length-limit-state-method

**Note: For bars the in compression, 1.25 times the above-given values shall be used.

development-length-working-stress-method

**Note: For bars in compression, 1.25 times the above given values shall be used.

Generally, in practice, the development length requirement is expressed as ‘41 times Ø’or ‘41 Ø’ where 41 is the factor calculated using the above formula& Ø is the dia of the bar.

(See Also Structural Analysis Part-I Video Free Tutorial)

Example: In the following images, the calculation for development length in limit state method (Fig.1), as well as working stress method (Fig.2) for M25 concrete grade & 415 steel grade, are illustrated:-

How to Calculate Development Length

development-length-calculation-limit-state-method

Fig-1 : For Limit State Method

development-length-calculation-working-stress-method

Fig-2 : For Working Stress Method

I hope this article will help you. You may also want to see my other post from my blog.  If I have missed anything here, please let me know about that in the comment below this post.

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