A 250 mm × 250 mm RCC column is reinforced with one percent

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A 250 mm × 250 mm RCC column is reinforced with one percent steel. The permissible compressive stress of concrete and steel are 8 N/ mm² and 150 N/mm² respectively. The axial load carrying capacity of the column in kN is _____________

1. 585 to 595
2. 785 to 895
3. 58.9 to 5.75
4. 52.87 to 69.58

Correct Option: A

585 to 595
P_u = 0.4 f_ck A_c + 0.67 f_y A_sc
P_u = 0.4 × 8 × 0.0625 (1-1/100) + 0.67 × 150 × 0.0625 × 1/100 = 0.198 + 0.063 = 0.261 = 261 kN
Where,
P_u = factored axial load on the member,
f_ck = characteristic compressive strength of the concrete,
A_c = area of concrete,
f_y = characteristic strength of the compression reinforcement, and
A_sc = area of longit udinal reinfor cement for columns.