Question

A rectangular column section of 250 mm x 400 mm is reinforced with five steel bars of grade Fe-500 each of 20 mm diameter. Concrete mix is M-30. Axial load in the column section with minimum eccentricity as per IS : 456-2000 using limit state method can be applied upto

• A. 1707.37
• B. 1805.30
• C. 1806.40
• D. 1903.7

Answer 1

The correct option is A 1707.37

Size of column = 250 mm x 400 mm
Gross area,
$A_g=250\times 400={10}^{5}m{m}^2$

Area of steel,
$A_{sc}=5\times \frac{\pi \times {20}^2}{4}$

$=1570.796m{m}^2$

Grade of concrete = M 30
Grade of steel = Fe 500
Axial load in column section with minimum eccentricity as per IS : 456-2000
$P_u=0.4f_{ck}{A}_c+0.67f_y.A_{SC}$
$=0.4\times 30({10}^5-1570.796)+0.67\times 500\times 1570.796$
= 1707367.2 N
= 1707.37 kN