GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 47 of 65

Marks: +1, -0

An RCC short column (with lateral ties) of rectangular cross-section of in

250 {mm} × 300 {mm}

reinforced with four members of

16 {mm}

diameter longitudinal bars. The grades of steel and concrete are Fe415 and M20, respectively. Neglect eccentricity effect. Considering limit state of collapse in compression (IS 456 : 2000), the axial load carrying capacity of the column (in

{kN}

, up to one decimal place) is__________

Your Answer:

Validate

Solution:

Since eccentricity effect is being neglected so column can be considered as concentrically loaded.
Ultimate axial load carrying capacity of column.

P_{u}= \;\; 0.45 f_{c k} A_{g}+(0.75 f_{y}-0.45 f_{c k}) A_{ {sc}}

= \;\; 0.45 × 20 × 250 × 300+

(0.75 × 415-0.45 × 20) 4 × \;{π}/{4} × 16^{2}

= \;\; 91.1 {kN}

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