# GATE Papers >> Civil >> 2015 >> Question No 18

Question No. 18

The development length of a deformed reinforcement bar can be expressed as $(I/k)\;(\phi\sigma_s/\tau_{bd}).$. From the IS:456-2000, the value of k can be calculated as _________.

##### Answer : 6.38 to 6.42

Solution of Question No 18 of GATE 2015 Civil Paper

0.87 fy $\frac{\mathrm\pi}4\mathrm\phi^2={\mathrm L}_\mathrm d{\mathrm\tau}_\mathrm{bd}\mathrm\pi\mathrm\phi$

Ld = $\frac{0.7{\mathrm f}_\mathrm y\mathrm\phi}{4{\mathrm\tau}_\mathrm{bd}\times1.6}$

$=\frac{{\mathrm\sigma}_\mathrm S\mathrm\phi}{6.4{\mathrm\tau}_\mathrm{bd}}$ (For deformed bar, increase $\style{font-family:'Times New Roman'}\tau$bd by 60%)

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