Question

In a doubly reinforced concrete section of effective depth 500 mm, the neutral axis is at 200 mm above tensile Reinforcement. The compression steel is placed at 50 mm below the compressive edge. If the compressive stress in the extreme concrete fibre is $5N/m{m}^2$ then the stress in compressive steel is______$N/m{m}^2$ [upto 2 decimal place] . [Take m = 13]

• A. 54.17

Answer 1

The correct option is A 54.17

Strain in compressive steel,
$E_x=\frac{distanceofcompressivesteelfromN.A}{distanceofextremecompressivefibre}\times \frac{5}{E_c}$

$=\frac{(500-200-50)}{(500-200)}\times \frac{5}{E_c}$

$\Rightarrow$ Stress in compressive steel = ${\epsilon }_{sc}\times E_s$

$=\frac{250}{300}\times \frac{5}{E_C}\times E_S$

$=\frac{5}{6}\times 5\times m=\frac{25}{6}\times 13$

$=54.17N/m{m}^2$