Generally in R.C.C sections the development length of bars is given by which of the following expressions as per IS standards?

(Here: σs = Stress in the bar at the section considered at design load, ϕ = Nominal diameter of the bar,

τbd = Design bond stress, Ld = Development length of bars)

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JKSSB JE Civil 20 March 2022 Official Paper
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  1. \(\rm L_d=\frac{\phi\sigma_s}{2\tau_{bd}}\)
  2. \(\rm L_d=\frac{\phi\sigma_s}{4\tau_{bd}}\)
  3. \(\rm L_d=\frac{\tau_{bd}\sigma_s}{5\phi}\)
  4. \(\rm L_d=\frac{\tau_{bd}\sigma_s}{7\phi}\)

Answer (Detailed Solution Below)

Option 2 : \(\rm L_d=\frac{\phi\sigma_s}{4\tau_{bd}}\)
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Detailed Solution

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Development Length:

A development length is the amount of rebar length that is needed to be embedded or projected into concrete to create desired bond strength between the two materials and also to develop required stress in steel at that section.

As per IS 456: 2000, clause 26.2.1,

The development length is given by: 

\({L_d} = \frac{{\phi {\sigma _s}}}{{4{\tau _{bd}}}}\)

where

ϕ = nominal diameter of the bar

σs = stress in the bar at the section considered at design load

τbd = design bond stress

Points to be remembered:

1) The development length includes anchorage values of hooks in tension reinforcement.

2) For bars other than circular cross-section, the development length should be sufficient to develop the stress in the bar by the bond.

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