Multiple choice

A square steel slab base of area 1 m2 is provided for a column made of two rolled channel sections. The 300 mm x 300 mm column carries an axial compressive load of 2000 kN. The line of action of the load passes through the centroid of the column section as well as of the slab base. The permissible bending stress in the slab base is 185 MPa. The required minimum thickness of the slab base is

  1. 110 mm

  2. 89 mm

  3. 63 mm

  4. 55 mm
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C Correct answer
Explanation

The required minimum thickness of a slab base is found by equating the maximum bending moment in the slab projection to the allowable bending moment capacity. Using the formula t = sqrt(3 * w * (B^2 - b^2) / sigma_bc), where w is the uniform pressure, the resulting thickness calculates to 63 mm.

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