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A short column 20cm × 20cm in section is reinforced with 4 bars whose area of cross section is 20 sq. cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2 and 1300 kg/cm2 , the Safe load on the column, should not exceed

A short column 20cm × 20cm in section is reinforced with 4 bars whose area of cross section is 20 sq. cm. If permissible compressive stresses in concrete and steel are 40 kg/cm2 and 1300 kg/cm2 , the Safe load on the column, should not exceed Correct Answer 41,200 kg

Concepts:

The safe load on the column is given as:

Ps = Permissible stress in concrete x Area of concrete + Permissible stress in steel x Area of steel.

Calculation:

Given:  

Size of column = 20 cm x 20 cm

Area of reinforcement = 20 cm²

Permissible stress in concrete = 40 kg/cm²

Permissible stress in steel = 1300 kg/cm²

Area of Concrete

= Gross area – steel area

= 20 × 20 – 20 = 380 Sq.cm

The safe load on the column is,

Ps  = 40 x 380 + 20 × 1300 = 41,200 kg

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